Answer:
The equation in Slope-intercept form:
[tex]y = \frac{2}{3}x + 2[/tex]
Step-by-step explanation:
-Find the slope first, by using the slope formula:
[tex]m = \frac{y_{2}-y_{1}}{x_{2}-x_{1}}[/tex]
(where [tex](x_{1},y_{1})[/tex] is the first point and [tex](x_{2},y_{2})[/tex] is the second point).
-Use two given points from the following problem for the slope formula:
[tex]m = \frac{6-2}{6-0}[/tex]
-Then, solve the equation:
[tex]m = \frac{6-2}{6-0}[/tex]
[tex]m = \frac{2}{3}[/tex]
After you have the found the slope, use both the slope [tex]\frac{2}{3}[/tex] and the first point [tex](0,2)[/tex] for the Point-slope formula:
[tex]y - y_{1} = m (x-x_{1})[/tex]
(where [tex]m[/tex] is the slope and [tex](x_{1}, y_{1})[/tex] is the first point).
-The equation in Point-slope form:
[tex]y - 2 = \frac{2}{3} (x-0)[/tex]
Then, you solve:
[tex]y - 2 = \frac{2}{3} (x-0)[/tex]
[tex]y - 2 + 2= \frac{2}{3} (x-0) + 2[/tex]
[tex]y = \frac{2}{3}x + 2[/tex]
-So, the equation in Slope-intercept form would be:
[tex]y = \frac{2}{3}x + 2[/tex]
The equation of the line is y = 2x/3 + 2 if the line that passes through (0, 2) and (6, 6).
What is a linear equation?It is defined as the relation between two variables, if we plot the graph of the linear equation we will get a straight line.
If in the linear equation, one variable is present, then the equation is known as the linear equation in one variable.
It is given that:
The line that passes through (0, 2) and (6, 6)
The slope-intercept form of the equation:
Slope of the line = (6-2)/(6-0)
The slope of the line = 2/3
The equation of the line:
y = 2x/3 + 2
Thus, the equation of the line is y = 2x/3 + 2 if the line passes through (0, 2) and (6, 6).
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Sam is helping Jason do carpentry and general repair jobs. Jason gave Sam some money for supplies. Sam bought some tools for $20.80, then spent half of what was left on wood. After that, he spent ⅓ of what was left on paint and then ⅓ on buckets/brushes. He returned with $13.20. How much did Jason give Sam?
Answer:
LALLALA IS
Step-by-step explanation:
The name for the expression 3/13 is:
Answer:
a fraction
Hope this helps!
In the late 18th century, a decimal clock was proposed, in which there were 100 'minutes' in one 'hour' and 10 'hours' in one day. Assuming that such a clock started from 0:00 at midnight, what time would it show when an ordinary clock showed 6am?
Answer:
2:50
Step-by-step explanation:
On an ordinary clock, there are 24 hours.
1) 6/24 = 0.25 (The percentage in which the day has passed)
2) 10 (total hours in a day in the decimal clock) * x 0.25 = 2.50
3) 2.5 Hours. On a typical clock, that would read 2:30, however, because the decimal clock proposes that there are 100 minutes in one hour, it will be 2:50, Therefore, the clock will display 2:50
The time that is shown in a decimal clock when it is 6 am in the ordinary clock is 2:30 am.
What is an expression?An expression is a way of writing a statement with more than two variables or numbers with operations such as addition, subtraction, multiplication, and division.
Example: 2 + 3x + 4y = 7 is an expression.
We have,
Decimal clock:
One day = 10 hours
Ordinary clock:
One day = 24 hours
6 am is the first quarter of the day.
This means,
There are 4 quarters in a day.
So,
One quarter is 6 hours.
Now,
Number of hours in one quarter in the decimal clock
= 10/4
= 2.5 hours
This means,
2:30 am when it's 6 am in the ordinary clock.
Thus,
The time shown in the decimal clock is 2:30 am.
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The area, a, of an ellipse can be determined using the formula a = πxy, where x and y are half the lengths of the largest and smallest diameters of the ellipse. Which is an equivalent equation solved for y? y = a · πx y = a + (πx) y = a – πx y = a ÷ (πx)
Answer:
Step-by-step explanation:
If [tex]A =\pi xy[/tex], then π, x, and y are all multiplied together. Multiplication is undone by division, so we will divide away the πx to solve for y:
[tex]\frac{A}{\pi x}=y[/tex] which is your last option.
Here, we are required to find an equivalent equation solved for y if the area, a is given by;
a = πxy
An equivalent equation solved for y is;
y = a ÷ (πx)
To find an equivalent equation solved for y,
We have to make y the subject of the formula in;
a = πxy.
Therefore, by dividing both sides of the equation by πx, so that y is left alone on the right hand side.
Therefore, y = a ÷ (πx).
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Answer:
Take the square root of each side
Add 5 to each side
Step-by-step explanation:
(x-5)^2 = 25
Take the square root of each side
sqrt((x-5)^2 ) = ±sqrt(25)
x-5 = ±5
Add 5 to each side
x-5+5 = ±5 +5
x = 5 ±5
The graph below shows a translation of preimage triangle vertex C to image triangle vertex C'.
What is the algebraic rule for this translation?
A. (x,y) = (x+6,9+2)
B. (x,y) → (x-6,y-2)
C. (x,y) → (x -6,y-6)
D. (x,y) → (x+2,x+10)
Answer:
Option (B)
Step-by-step explanation:
From the figure attached,
Triangle with vertex C' is a translated form of the triangle with vertex C.
Coordinates of pre-image C → (2 , 6)
Coordinates of the image C' → (-4, 4)
Rule followed from pre-image C to image C',
(2, 6) → (-4, 4)
(2, 6) → [(2 - 6), (6 - 2)]
(x, y) → [(x - 6), (y - 2)]
Therefore, rule given in option (B) is the answer.
Answer:
it is B
Step-by-step explanation:
Olga is putting a border around her triangular flower bed. She has 20 feet of border material, which will fit perfectly around the bed. She wants to make the flower bed larger by tripling the length of each of its sides. How much border material will she need in total?
Answer:
60 feet
Step-by-step explanation:
We know that a triangle has 3 sides, in this case we will call them a, b and c.
It tells us that everything is material, it measures 20, that is:
a + b + c = 20
They tell us that she wants to triple each side and to know how much material she would need in total. Then it would be:
border material need = 3 * a + 3 * b + 3 * c
common factor 3:
border material need = 3 * (a + b + c)
border material need = 3 * 20
border material need = 60
Which means that she needs a total of 60 feet of material.
Answer: She would need 60 ft of border material.
Step-by-step explanation: Olga has a triangular flower bed, which means her flower bed is three sided. Also it has been stated that she has 20 feet of border material available. which will fit perfectly around the bed. This also means the perimeter of her flower bed is 20 feet.
Assuming the sides of her flower bed are labeled as a, b and c. Then a plus b plus c would equal 20, since the perimeter is the addition of all sides of the triangle.
However, she intends to triple the length of each side of the flower bed, and that would translate into the sides being 3a, 3b and 3c respectively. This effectively triples the length of the perimeter which is shown as,
Perimeter = a + b + c
20 = a + b + c
3(20) = 3a + 3b + 3c
60 = 3a + 3b + 3c
Therefore, she is going to need more border material and that is calculated as 60 feet.
HELP!!!!!! THIS IS URGENT PLEASE HELP!! DUE IN 10 MINUTES!!!
Write an expression using letters and/or numbers for the following problem.
Complete the following frame for 6x = 54:
The equation is true when x = _ because _.
PLEASE LIST THE FULL ANSWER!!! THANK YOU!!
Answer:
Step-by-step explanation:
6x = 54
x = 54 /6
x=9
therefore value of x is 9
Answer:
6x=54 if x =9 because 54/6 equals nine
Step-by-step explanation:
suppose that the current canadian dollar to US dollar exchange rate is 0.80 CAD = $1 US and that the U.S. dollar price of an Apple iphone is $320 what is the Candian dollar price of iphone?
Answer: 256 CAD
Step-by-step explanation:
Hi, to answer this question we simply have to multiply the price in US dollars of the iphone (320) and multiply it by 0.80 ( Canadian dollar to US dollar exchange rate)
Mathematically speaking:
Since:
$1 US = 0.80 CAD
$320 x0.80 = 256 CAD
Feel free to ask for more if needed or if you did not understand something.
Brass contains copper and zinc in the ratio 2:1. How much zinc is there in 3 kg of brass
plz need help with this plzz
Answer:
There is 1kg of zinc in 3kg of brass
Step-by-step explanation:
Here, we are interested in knowing the amount of zinc present in 3kg of brass
Brass is an alloy of copper and zinc.
Now to get the amount of zinc present, we have to use the ratio;
The ratio of zinc is 1
So the amount of zinc present is calculated as follows;
Total ratio = 2+ 1 = 3
Thus;
1/3 * 3kg = 1kg
solve for x in the triangle below. round you answer to the nearest tenth.
Answer:
x ≈ 6.4
Step-by-step explanation:
Using the sine ratio in the right triangle
sin40° = [tex]\frac{opposite}{hypotenuse}[/tex] = [tex]\frac{x}{10}[/tex] ( multiply both sides by 10 )
10 × sin40° = x , thus
x ≈ 6.4 ( to the nearest tenth )
In the figure,BE||CD. Solve for . Show your work.
Answer:
Step-by-step explanation:
AE is 9. ED is 6. The triangle ABE is proportional to ACD, so their sides are proportional. For example, AE:ED = AB:BC. So, ED/AE = 2/3 = BC/AB. This gives us 2/3 = x/10, which gives us x=6.6667
Find angle x and y!
Very easy.
Answer:
x=60
y=300
Step-by-step explanation:
x=60
y=300
I need help with question number three can someone help me please I need to get this right
Answer:
False
Step-by-step explanation:
The included side in ASA is inside between the angles being used
If Billy Bob only fills the tank 3/4 of the way, what will be
the volume of the water in the tank? Show your work.
Rectangle JKLM is rotated 90° clockwise about the origin.
What are the coordinates of J’?
J’(–1, –4)
J’(4, –1)
J’(1, 4)
J’(4, 1)
Answer:
Clockwise rotation 90 ° about origin
R_{90, clockwise, origin}(x,y) -> (y,-x)
J(-4,1) therefore
R_{90, clockwise, origin}J(-4,1) -> J'(1,+4) this answer was form other person credits to him/her
Step-by-step explanation:
Jake is going to call one person from his contacts at random he has 30 total contacts 16 of those contacts are people he met at school what is the probability of calling a person from school?
Answer:
its 16/30 or 8/15
Step-by-step explanation:
if the total is 30 and 16 of them are in his school the probability of calling a person from school is 16/30 which is simplify to 8/15
Answer:
P of calling someone from school = [tex]\frac{8}{15}[/tex]
Step-by-step explanation:
The probability of calling someone from school is
[tex]\frac{16}{30}=[/tex]
[tex]\frac{8}{15}[/tex]
P of calling someone from school is [tex]\frac{8}{15}[/tex]
7. Triangle RST has sides RS = 5.5 cm, RT = 3.9 cm, and ST = 4.8 cm. The value
of the largest angle in this triangle has a value of
A.
43.8
B.
58.5°
C.
77.7 °
D.
79.3
PLEASE HELP I NEED THIS NOW!!
5(z + 1) = 3(z + 2) + 11 Solve for Z
Answer:
z=6
Step-by-step explanation:
Isolate the variable by dividing each side by factors that don't contain the variable.
5(z + 1) = 3(z + 2) + 11
5z + 5 = 3z + 6 + 11
5z + 5 = 3z + 17
5z = 3z + 12
2z = 12
2z/2 = 12/2
z = 6
:)
Answer:
z= 6
Step-by-step explanation:
5(z + 1) = 3(z + 2) + 11
Distribute
5z+5 = 3z+6+11
Combine like terms
5z+5 = 3z+17
Subtract 3z from each side
5z+5-3z = 3z-3z+17
2z+5 = 17
Subtract 5 from each side
2z+5-5 = 17-5
2z = 12
Divide each side by 2
2z/2 =12/2
z = 6
What is the value of X very easy
Answer:
x=36
Step-by-step explanation:
The angles in a triangle must add to 180 degrees.
Therefore,
x+65+79=180
Add 65 and 79
x+144=180
We want to solve for x. In order to do this, we have to get x by itself. 144 is being added to x (+144)The opposite of addition is subtraction, so subtract 144 from both sides(-144)The +144 and -144 will cancel out, and leave x by itself.
x+144-144=180-144
x=180-144
x=36
Let’s check our answer. Add all the angles together, and make sure they equal 180 degrees.
x+65+79
We know x is equal to 36, so we can substitute it in
36+65+79
180
The 3 angles add to 180, so we know that x=36
A cylinder has a height of 10 inches and a radius of 17 inches. What is its volume? Use ≈ 3.14 and round your answer to the nearest hundredth.
Steps:
Radius= 17in
Height= 10in
Formula: V=πr2h
Shape: Right cylinder
Solved for volume
H= Height
R= Radius
Description:
We know that R is 17 inches, and H is 10 inches. Since we are finding the volume we use the formula V=πr2h to calculate. After calculating your answer will come as V≈9079.2in³. You also said to round your answer to the nearest hundredth. After rounding your answer to th enearest hundredth your answer will come as 9,079.20.
Answer: V≈9079.2in³
Round to the nearest hundredth = 9,079.20
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Hope this helps.
Solve for z.
–2.9 + 4.2z = –14.73 − 12.74 + 0.3z
z =
Answer:
[tex] \boxed{z = -6.3} [/tex]
Step-by-step explanation:
[tex] = > - 2.9 + 4.2z = - 14.73 - 12.74 + 0.3z \\ \\ = > - 2.9 + 4.2z = - 27.47 + 0.3z \\ \\ = > 4.2z - 2.9 = 0.3z - 27.47 \\ \\ = > 4.2z - 0.3z - 2.9 = - 27.47 \\ \\ = > 3.9z = - 27.47 + 2.9 \\ \\ = > 3.9z = - 24.57 \\ \\ = > z = - \frac{24.57}{3.9} \\ \\ = > z = - 6.3[/tex]
Marie wants to know the most popular car for parents. She plans to survey the people entering the mall from 10:00 a.m. to 11:00 p.m. What can Marie do to make sure her survey is valid?
A) Marie’s sample is valid
B) Marie should also survey people entering the grocery stores
C) Marie should make sure she surveys both fathers and mothers
D) Marie should make sure she surveys the children as well as the parents
Answer:
c
Step-by-step explanation:
Answer:
C) Marie should make sure she surveys both fathers and mothers.
Step-by-step explanation:
Instead of asking one parent like the father, she should ask both types of parents. Some parents go the mall by themselves not with their spouse. The parents may even have their own separate car so she needs to ask both of them.
Calvin had $10. When he bought 7 colored pencils and 2 notebook at $1.30 per notebook, the change was $1.10 what is the price of 1 colored pencil?
Answer:
90 cents
Step-by-step explanation:
7x+2(1.30)=10-1.10
7x=8.9-2.6
x=6.3/7= 0.9
Answer:
$.90 or 90 cents each
Step-by-step explanation:
10-2(1.30)-7(x)=1.10
10-2.6-7x=1.10
7.40-7x=1.10
7x=6.3
x=6.3/7
=.90
Please help me find the area thanks
Answer: 96 ft squared ✌️
Step-by-step explanation:
Triangle area is 42 a leg (6) times b leg (14) divided by 2
First rectangle down is 30. Use length times width
Second rectangle down is 14
Last vertical rectangle is 10
Add all areas together
Answer: 96 square feet.
Step-by-step explanation: I would assume you know how to find the area of the rectangles and you are struggling with the triangle. With triangles you take the base or the bottom and multiple it by the width and then divide by 2. In this case the base would be 14 and the width would be 6, so 14x6 is 84 and 84 divided by 2 is 42.
I am guessing you are in 6th grade based on the problem you are doing. I am also in 6th grade so try to do what I did and see for yourself. :)
Given right triangle XYZ, which correctly describes the
locations of the sides in relation to _Y?
a is opposite, b is adjacent, c is the hypotenuse
a is the hypotenuse, b is opposite, c is adjacent
a is adjacent, b is the hypotenuse, c is opposite
a is adjacent, bis opposite, c is the hypotenuse
Y
N
I don’t know the answer! Someone please tell me
Answer:
a is adjacent, b is opposite, c is the hypotenuse
Step-by-step explanation:
A right angled triangle must contain the opposite, the adjacent and the hypotenuse. The opposite is the side that directly faces the angle of interest. The adjacent is the side that is close to the angle of interest.
Given that the angle Y is positioned between X and Z, the point b becomes the opposite of Y. The point a becomes adjacent to angle Y while c remains the hypotenuse of the right angled triangle.
The image below typifies the explanation given above. It shows the relationship between the three sides of the right angled triangle in detail.
Answer:
a is adjacent, b is opposite, c is the hypotenuse
Step-by-step explanation:
i took the test on ed.
Please help me in this question.
Find angle x°,y°,z°.
Answer:
x = 22°
y = 26°
z = 48°
Step-by-step explanation:
∠PQS and ∠QSR is a pair of alternate interior angles
plus PQ is parallel to SR
then
x = 22°
SPR is an isosceles triangle then m∠PRS = 66°
Therefore x + y = 180-(66+66) = 180-132 = 48
then y = 48 - x = 48-22 = 26
finally, z = x + y = 48
Answer:
x = 22
y = 26
z = 48
Step-by-step explanation:
ΔSPR is isosceles, meaning two angles are equal, as indicated.
one base angle is 66, meaning the other one is also 66.
alternate angles are equal ; angle Q = angle S = 22 = x
To find the other angle of the triangle below, add 22 and 66 and subtract from 180 to get 92.
vertically opposite angles are equal ; 92
88 88
92
the triangle on the upper right has 92, 22, and the missing angle which is 66.
the upper left triangle has 88, 66 and the missing which is 26 = y
the straight line above(PQ), now has 66, 66 and the missing one .add , then take away from 180 to get 48 = z
Phillip is rolling two number cubes. How many different ways can he roll the number cubes and get a sum of 6?
A. 3
B. 4
C. 5
D. 6
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Which statement is true about the function f(x)= √x?
A) The domain of the graph is all real numbers.
B) The range of the graph is all real numbers.
C) The domain of the graph is all real numbers less than or equal to 0.
D) The range of the graph is all real numbers greater than or equal to 0.
Answer: The correct answer is D the range of the graph is all real numbers greater than or equal to 0.
Step-by-step explanation
Range [0,infinity] {y|y greater than or equal to 0}
Answer:
D
Step-by-step explanation:
Jonas jogged up the hill at an average rate of of a mile per minute and then walked down the hill at an average rate of StartFraction 1 Over 16 EndFraction left-parenthesis 42 minus x right-parenthesis. of a mile per minute. The round trip took him 42 minutes. What is the missing value in the table that represents the distance of the trip down the hill? A: 1 over 16 x B: 42 over 16 minus x C: 42 minus 1 over 16x D: 1 over 16(42 – x)
Answer:
D.) 1/16 (42-x).
Step-by-step explanation:
it was right on edg 2020
In the table that represents the distance of the trip down the hill, the missing value is ¹/₁₆(42 - x).
What is distance?
Distance is the length of space between two points.
Distance = speed x time
In the table that represents the distance of the trip down the hill, the missing value is calculated as follows;
Distance = ¹/₁₆ x (42 - x)
[tex]Distance = \frac{1}{16(42-x)}[/tex]
Thus, In the table that represents the distance of the trip down the hill, the missing value is ¹/₁₆(42 - x).
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