Answer:
A, C
Step-by-step explanation:
10x+ 4y = -2
5x -2y = 2
We can multiply the first equation by 1/2
5x+2y = -1
And then add the equations to eliminate y
5x+2y = -1
5x -2y = 2
--------------------
10x +0y = 1
Adding the equations will not eliminate any variables
15x +2y =0
Multiply the bottom equation by 2 and then subtract
10x -4y = 4
10x+ 4y = -2
-10x +4y = -4
------------------
0x +8y = -6 will eliminate x
Answer:
Answer A, C
Step-by-step explanation:
When multiplying the bottom equation by two, you get 10x-4y=4
After subtracting 10x-4y=4 and the top equation you will be able to eliminate the variable x.
You can also also get the same result and eliminate a variable with answer A.
Please help! ............................................
Answer:
B. 20
Step-by-step explanation:
60 = 2x + 20
40 = 2x
40/2 = 2x/2
20 = x
Hope this helps :)
Answer:
B. 20
Step-by-step explanation:
An open window is at the height of 15 ft above the ground. A ladder is placed 8 ft away from the side of the house. What will be the length of ladder needed to reach to the window of the house?
Answer: 17 feet
Step-by-step explanation:
Isaac is constructing a circular pool that has a diameter of 20 ft and is 5 ft deep. Part A: Find the circumference of the pool to the nearest tenth of a foot. Use 3.14 for pi. Part B: Find the area of the circle formed by the pool to the nearest foot.
Answer:
The circumference of the pool is 62.8 foot long and the area of the circle formed by the pool is 314 ft².
Step-by-step explanation:
The circumference of the pool can be found by calculating the arc's length of the edges of the pool. This is done by using the following formula:
[tex]circumference = 2*\pi*r[/tex]
Where the radius is half the diameter, applying the data from the problem we have:
[tex]circumference = 2*3.14*10 = 62.8 \text{ ft}[/tex]
The area of the circle formed by the pool can be found using the following expression:
[tex]area = pi*r^2 = 3.14*(10)^2 = 314 \text{ ft}^2[/tex]
The circumference of the pool is 62.8 foot long and the area of the circle formed by the pool is 314 ft².
Marcus deposited his paycheck in the amount of $625.84. He’ll use the check register to record his transaction. What will be his new balance? A check register has a balance of 640 dollars and 31 cents.
Answer:
His new balance will be $1,266.15
Step-by-step explanation:
Please help me it’s geometry I need help
Answer:
B-1
Step-by-step explanation:
You can draw a vertical line of symmetry in the middle of the figure. This would be one line.
Describe fully the single transformation that maps triangle a onto triangle b
Answer:
Triangle (A) reflected over the line y = x
Step-by-step explanation:
From the figure attached,
Coordinates of the vertices of triangle (A) are A(1, 4), B(1, 2) and C(2, 2)
After transformation of triangle A, coordinates of the vertices A', B' and C' of the image triangle (B) are,
A'(4, 1), B'(2, 1) and C'(2, 2)
Lets choose point A to find the rule of transformation,
A(1, 4) → A'(4, 1)
Rule → (x, y) → (y, x)
It shows triangle (A) has been reflected across a line y = x.
Therefore, triangle (A) maps onto triangle (B) when reflected over the line y = x.
evaluate 3×-14, when ×=5
Answer:
1
Step-by-step explanation:
Plug in the x value.
3(5)-14
3(5)=15
So then you do 15-14
Which equals to 1
Hope this helps! Plz mark brainliest!!
Answer:
1
Step-by-step explanation:
1. 3(5)-14 first substitute
2. 15-14
3. 1
Rania is riding the ferris wheel. Her vertical height H(t)H(t)H, left parenthesis, t, right parenthesis (in \text{m}mstart text, m, end text) off the ground as a function of time ttt (in seconds) can be modeled by a sinusoidal expression of the form a\cdot\cos(b\cdot t)+da⋅cos(b⋅t)+da, dot, cosine, left parenthesis, b, dot, t, right parenthesis, plus, d. At t=0t=0t, equals, 0, when she starts moving, she is at a height of 10\text{ m}10 m10, start text, space, m, end text off the ground, which is as low as she goes. After 20\pi20π20, pi seconds, she reaches her maximum height of 30\text{ m}30 m30, start text, space, m, end text. Find H(t)H(t)H, left parenthesis, t, right parenthesis.
Answer:
H(t) = -10·cos(t/20) +20
Step-by-step explanation:
The range of heights is ...
30 m - 10 m = 20 m
The amplitude of the cosine function is half that, or 10 m. Here, the function starts off at a minimum, whereas the parent cosine function starts at a maximum. That means the parent function is reflected vertically, so the amplitude coefficient in H(t) is negative.
The midline of the cosine function is the average of the extreme heights, so is ...
midline = (30 m +10 m)/2 = 20 m
The period of the function is double the time it takes to go from a minimum to a maximum, so is ...
p = 2(20π) = 40π . . . . seconds
In the given function form ...
H(t) = a·cos(bt) +d
the amplitude is a=-10; the coefficient b is 2π/p = 1/20; and the midline is d = 20. Then the function is ...
H(t) = -10·cos(t/20) +20
The ratio of boys to girls in a school is 4:5. How many boys are in the school if there are 720 students.
Answer:
There are 320 boys
Step-by-step explanation:
boys: girls : total
4 5 4+5 = 9
Take the total and divide by 9
720/9 = 80
Multiply each term by 80
boys: girls : total
4*80 5*80 9*80
320 400 720
There are 320 boys
Answer:
324 boys
Step-by-step explanation:
Add the ratio, 4+ 5 = 9 and divide 720 with nine. Then multiply that value, 81, with 4 to find the number of boys, and multiply with 5 to get the girls
Consider this system of linear equations: y = –3x + 5 y = mx + b Which values of m and b will create a system of linear equations with no solution?
Answer:
m = - 3 and b = - 3.
Step-by-step explanation:
A system of linear equations will not have solutions if the two lines are parallel.
Two equations are parallel:
1. if their slopes (m) are equal
2. the y-intercep (b) are different.
As y = - 3x + 5, the value of m of the other equation, y = mx + b, in order to make a system with no solution, needs to be - 3, and the value of b need to be different to 5.
The only pair from the choices that meets that is the first option m = - 3 and b = -3.
Answer:
m = -3, b = 5
Step-by-step explanation:
The values m = -3 and b = 5, forms a linear equation: y = -3x + 5. This obviously coincides with the original equation given, and so will create a system of linear equations with no solution.
Please answer correctly !!!!!! Will mark brainliest !!!!!!!!!!!!
Answer:
5
Step-by-step explanation:
(125) ^ 1/3
What number multiplied by itself 3 times is 125
5*5*5
25*5
125
Answer:
5
Step-by-step explanation:
5^3=125
So the cube root of 125 is 5.
What is the equation of the line of best fit for the following data round the slope and Y intercept of the line to three dimensional places. Please help ASAP thank you so much.
Answer:
y = 1.56 x - 4.105
which agrees with answer "B" in your list of possible options.
Step-by-step explanation:
Notice that you are expected to use some type of regression tool for this problem. either a computer program or a handheld graphing calculator with such functionality.
I have entered the set of data points in two separate lists, one for the x-values,and another one for the y-values, and run the linear regression tool in order to get the best fitting line. See what I obtained using this tool in the screen capture I am attaching below.
Notice that the line of best fit reads:
y = 1.56015038 x - 4.10526316
showing clearly the slope and y-intercept of the line of best fit.
Rounding slope and y-intercept to the third decimal, we get:
y = 1.56 x - 4.105
which agrees with answer "B" in your list of possible options.
need help!! plzz help asap
Answer:
answer is 12
Step-by-step explanation:
because 5×4=20
so u have to multiply 4 and three
3×4=12
and u can reduce it to
6/10 and reduce it again to
3/5
Which inequality is represented by this graph?
Answer: C
Step-by-step explanation:
We can say that the equaiton of the line is -1/6x+1, considering that is in each answer choice. Than main part is the shading and inequality. If you look closely at the graph, the shading line is a dashed/dotted line. This means the shaded part does not equal the actual line. We can eliminate B and D.
Now, we are left with A and C. A is saying y< while C is saying y>. C is the correct answer because if you look at the shading, it it above the line, which is greater than. Therefore, the answer is C.
please answer thanks
i have 4 more questions after this
Answer:
Step-by-step explanation:
[tex]V= ?\\r = 2\\h = 5\\\pi = 3.14\\\\V = \frac{1}{3} \pi*r^{2} *h\\\\V = \frac{1}{3} *3.14*2^{2} *5\\\\V= \frac{1}{3} *12.56*5\\\\V= \frac{1}{3}* 62.8\\\\V = 20.93333333\\\\\\V = 20.93[/tex]
In terms of pi
[tex]V= ?\\r = 2\\h = 5\\V = \frac{1}{3} \pi*r^{2} *h\\\\V= \frac{1}{3} *\pi*2^{2} *5\\\\V = \frac{1}{3} \pi*20\\V= 6.67\pi\\[/tex]
The number of flowers, f, that a gardener can plant along a border of a garden varies inversely with the distance d (in inches) between the flowers. If the gardener can fill the border with 30 flowers planted 12 inches apart, how far apart should the gardener plant 36 flowers instead?
Answer:
d=20
Hope it helps :]!!!!!!!
Lisa’s test grades are 79, 89, and 90.
What is Lisa’s test average?
Answer:
Lisa's text average is 86 :))
Step-by-step explanation:
add all numbers up then divide them by 3.
PQ has endpoints P(6,-3) and Q(-2,-7). Find the coordinates of the midpoint of PQ.
So the right answer is (2,-5)
please see attached picture for full solution
Hope it helps
Good luck on your assignment
Answer:
Midpoint (2 , -5)
Step-by-step explanation:
RULE: (midpoint)
Consider P(x1,y1)and Q(x2,y2) two points:
the midpoint M(x,y) of the segment PQ is defined like this:
[tex]x = \frac{x1+x2}{2} \\\\y=\frac{y1+y2}{2}[/tex]
In our case
x1 = 6 ; y1 = -3
x2 = -2 ; y2 = -7
then
[tex]x = \frac{6+(-2)}{2} =2\\\\y = \frac{(-3)+(-7)}{2} =-5[/tex]
do what you gotta do. helppp meh
Answer:
A
Step-by-step explanation:
11.4-15.7 = -4.3
Answer:
A. -4.3 F
Step-by-step explanation:
Originally you started with 11.4 F, and the question said it decreased by 15.7 F so that basically means you subtract the final condition from initial,
11.4 F - 15.7 = -4.3 F, so at night it was -4.3 F cold.
If you think about this question in terms of apples. Originally I gave you 12 apples to keep for a day. When I returned home at 7pm the numbers of apples decreased by 8. So bascially my final apples will be 12- 8 = 4 apples remaining.
What is the area of the given compound shape?
1. 19 sq cm
2. 25 sq cm
3. 34 sq cm
Answer:
(A)
Step-by-step explanation:
As you can see, the figure can be divided into a square of side 2cm and a rectangle of sides 5cm and 3cm so we find the area of both and add.
Area of the square
= 2x2 = 4cm^2
Area of the rectangle
= lxb
= 3x5
= 15 cm^2
Therefore the area of the entire figure
= Area of square + area of rectangle
= 15+4
= 19 cm^2
So the correct option is (a)
Hope this helps:)
Answer:
Option 1
Step-by-step explanation:
I broke the figure up into two shapes. One of them was a square and the other one was a big rectangle. I calculated the two areas and added them back together. My work is attached in the picture.
Area of a square is: s^2
's' -side length
Area of a rectangle is: b * w
'b' - base or length
'w' - width
The area of the figure should be 19cm².
Angle C is opposite blank.
Answer:
Option C is the correct answer.
Step-by-step explanation:
[tex] \angle C[/tex] is opposite [tex] \overline{AB} [/tex]
The cost of 4 bear toys and a lion toy is $70. If the cost of a lion toy and 2 bear toys is
$41, what is the cost of a lion toy?
$36
$28
$14.50
$12
Answer:
14.50 because you need to divide the total amount by 2 and then you have the remaining
The cost of a lion toy is $12
What is a linear equation?An equation between two variables with a constant in the form of ax +by =c is called a linear equation.
Given the cost of 4 bear toys and a lion toy is $70.
And If the cost of a lion toy and 2 bear toys is $41,
Write a linear equation for the above equation
4B +1L =70
2B +1L =41
By solving the above equations we get B= $14.5 and L=12
Thus the cost of a bear is $14.5 and cost of a lion is $12.
To know more about linear equation click here
https://brainly.com/question/21835898
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help please? what is the following quotient?
Answer:
√(30) - 3√(2) + √(55) - √(33) / 2
Step-by-step explanation:
OBC is a sector of a circle with centre o and radius 9cm work out the area of the shaded region as a percentage of the area of sector obc to 1 decimal place
Answer:
83.7 %
Step-by-step explanation:
To get the area of the shaded region, we will following these steps.
Step one: Get the area of the sector of the circle.
The area of the sector of the circle can be obtained using the formula:
[tex]Area = \frac{\theta}{360}\times \pi r^{2}[/tex]
Theta will be 60 degrees because triangle OAD is an equilateral triangle
Hence, [tex]Area = \frac{60}{360}\times \pi \times 9^{2}= 42.42cm^{2}[/tex]
Step Two: Get the area of the equilateral triangle
The area of the equilateral triangle can be got using the formula
[tex]Area = \frac{1}{2} Base \times Height[/tex]
The height of the triangle can be got by drawing an imaginary line bisecting the triangle into two parts and applying the Pythagoras' theorem to any of the resulting right-angled triangles formed.
This will be [tex]height =\sqrt{4^{2}-2^{2}} =3.46cm[/tex]
Thus [tex]Area = \frac{1}{2}\times 4\times 3.46=6.93cm^{2}[/tex]
Step Three: Subtract the area of the triangle from the area of the sector
Area of the shaded portion = [tex]42.42cm^{2}-6.93cm^{2}=35.49cm^{2}[/tex]
Step Four: Divide the area of the shaded portion by the area of the entire shape and multiply the result by 100:
Expressing the ratio of the two areas as a percentage, we have
[tex]\frac{35.49}{42.42} \times 100\approx 83.7 %[/tex] %
Would side lengths 5,7, and 10 form a triangle?
Answer:
Yes
Step-by-step explanation:
Add any two sides and see if it is greater than the third for all three sides
5+7 > 10 true
7+10 > 5 true
10+7 > 5 true
Then the three sides form a triangle
Write the expression
Divide y by 9 then subtract z from the result
Answer:
Bruh its not that hard, but ill answer it. answer is below
Step-by-step explanation:
Divide y by 9 then subtract z from the result
We know that y divided by 9 is y/9
and the you subtract z from it: y/9-z
but i think that since it says "subtract z FROM THE RESULT"
I think it is
(y/9)-z
what is 8.92 x 106 in standerd form
[tex]8.92 \times 10^6[/tex]
[tex]8920000[/tex]
Answer: 945.52
Step-by-step explanation:
David leaves the house to go to school. He walks 200 meters west and
125 meters north. How far away is he from his starting point (the diagonal)?
Telephone pole breaks and falls as shown. To the nearest foot, what was the
original height of the pole? they are 7 ft and 10 ft pls explain how u got the answer and the choices r a.19ft. b.17ft. c.20ft. d.18 ft pls find the answer for me
but its a triangle and in the bottom it has number 10 and in the long side of the triangle is 7
Answer:
Length of the pole = 12.2ft
Step-by-step explanation:
Hello,
According to your description, the pole against a wall of height 7ft and the distance between the base of the pole to the wall is 10ft.
See attached document for better illustration.
To solve this problem, we'll have to make use of pythagorean theorem
According to pythagorean theorem,
X² = y² + z²
X = ?
Y = 10ft
Z = 7ft
X² = 10² + 7²
X² = 100 + 49
X² = 149
X = √(149)
X = 12.2ft
The length of the pole is 12.2 ft
Unfortunately, the length of the pole does not corresponds with any of the answers above, but this is actually the right answer.
Good luck
One night, it is 24 ℃ warmer in Tucson than it was in Minneapolis. If the temperatures in Tucson and Minneapolis are opposites, what is the temperature in Tucson?
Answer:
The temperature in Tucson is [tex]12\,^{\circ}C[/tex].
Step-by-step explanation:
Let be [tex]T[/tex] and [tex]-T[/tex] the temperatures registered in Tucson and Minneapolis, respectively. The difference between both temperatures is:
[tex]T - (-T) = 24\,^{\circ}C[/tex]
[tex]2\cdot T = 24\,^{\circ}C[/tex]
[tex]T = 12\,^{\circ}C[/tex]
The temperature in Tucson is [tex]12\,^{\circ}C[/tex].
Answer:
The temperature in Tucson is 12°C, and that of Minneapolis is -12°C.
Step-by-step explanation:
Let the temperature in Tucson = T
And the temperature in Minneapolis = -T. Because the temperatures are opposites.
Since we know that it is 24°C warmer in Tucson that it was in Minneapolis, then
T - (-T) = 24
T + T = 24
2T = 24
T = 24/2
= 12
Therefore, the temperature in Tucson is 12°C, and that of Minneapolis is -12°C.