Answer:
The number is -6.
Step-by-step explanation:
Variable x = a number
Set up an equation:
3x + 12 = -6
Isolate variable x:
3x = -18
x = -6
Check your work:
3(-6) + 12 = -6
-18 + 12 = -6
-6 = -6
Correct!
Answer:
3x +12=-6
3x=-6-12
3x=-18
x=-18/3
x=-6
Write equations for the vertical and horizontal lines passing through the point (5,-9).
Answer:
the vertical line is:
x = 5
The horizontal line is:
y = -9
Step-by-step explanation:
A vertical line has a fixed x-value, while a horizontal line has a fixed y-value.
Then we can write a vertical line as:
x = a
and a horizontal line as
y = b
Then, if we want a vertical line that passes through the point (5, -9), remember that the x-vale will be fixed, then we fix the x-value at the same x-value of the point, which we know that is 5, then the vertical line that passes through the point (5, -9) is:
x = 5
While the horizontal line that passes through the point (5, -9) will be a line with the y-value fixed at the y-value of the point, which we know is -9
Then the horizontal line is:
y = -9
Find the value of x.
Step-by-step explanation:
here's the answer to your question
Am I suppose to substitute the variables with random numbers in order to answer these questions???
Translation A maps (x, y) to (x + n, y + 1). Translation B maps (x, y) to (x +s, y + m).
1. Translate a point using Translation A, followed by Translation B. Write an algebraic rule for the final image of the point after this composition.
2. Translate a point using Translation B, followed by Translation A. Write an algebraic rule for the final image of the point after this composition.
3. Compare the rules you wrote for parts (a) and (b). Does it matter which translation you do first? Explain your reasoning.
9514 1404 393
Answer:
(x, y) ⇒ (x +n +s, y +1 +m)(x, y) ⇒ (x +s +n, y +m +1)they are identical in effect; order does not matterStep-by-step explanation:
Substitute the expressions.
A then BAfter the first translation, the value of x is (x+n). Put that as the value of x in the second translation.
x ⇒ x +s . . . . . . . . . the definition of the second translation
(x+n) ⇒ (x+n) +s . . . the result after both translations
The same thing goes for y. After the first translation, its new value is (y+1).
y ⇒ y +m . . . . . . . . the definition of the second translation
(y+1) ⇒ (y+1) +m . . . the result of both translations
Then the composition of A followed by B is (x, y) ⇒ (x +n +s, y +1 +m).
__
B then AThe same reasoning applies. After the B translation, the x-coordinate is (x+s) and the y-coordinate is (y+m). Then the A translation changes these to ...
x ⇒ x +n . . . . . . . . . . definition of translation A
(x+s) ⇒ (x+s) +n . . . . translation A operating on point translated by B
y ⇒ y +1 . . . . . . . . . . . definition of translation A
(y+m) ⇒ (y+m) +1 . . . . translation A operating on point translated by B
The composition of B followed by A is (x, y) ⇒ (x + s + n, y + m + 1).
__
You should recognize that the sums (x+n+s) and (x+s+n) are identical. The commutative and associative properties of addition let us rearrange the order of the terms with no effect on the outcome.
The two translations give the same result in either order.
Help me solve this please I’m struggling
9514 1404 393
Answer:
9.5maximum, 34.5, 510.9Step-by-step explanation:
I find it convenient to use a graphing calculator to graph the function.
The "start" is x=0, where the distance from the sprinkler head is 0 feet. The value of h(0) is 9.5, the height of the sprinkler head.
The irrigation system is positioned 9.5 feet above the ground.The graph shows the vertex of the curve is (5, 34.5), meaning that a height of 34.5 feet is reached 5 feet horizontally from the sprinkler.
The spray reaches a maximum height of 34.5 feet at a horizontal distance of 5 feet away from the sprinkler head.The spray reaches all the way to the ground at about 10.9 feet away.The graph shows the x-intercept at about 10.9. That is where the height of the spray is 0 feet above the ground.
Please help asap!!!!! At Sarah's cafe, customers can choose one of the following entrees: burrito, pasta, soup or taco. They can also order a side dish. They have a choice of french fries, salad, potato salad or coleslaw. Finally customers get to choose one of the following drinks and a choice of soda, coffee, water, milk or juice.
For dinner, the cafe offers diners a special, customers can order 2 sides with their entree. In how many different ways can dinner be ordered?
Answer:
120 different meals.
Step-by-step explanation:
Start with the entrees: There are 4
There are side dishes : 4
Drinks: 5
The side dishes can be 4!/(2!2!) (order does not matter here). There are 6 ways.
The entrees are 1 of 4: 4
And 5 drinks
P(dinner) = 5 * 4 * 6 = 120
Answer:
120
4 * (4C2) * 5
4 * (6) * 5
Step-by-step explanation:
burrito,
pasta,
soup,
taco.
french fries,
salad,
potato salad
, coleslaw.
soda,
coffee,
water,
milk,
juice.
For dinner, the cafe offers diners a special, customers can order 2 sides with their entree. In how many different ways can dinner be ordered?
Quadrilateral ABCD is inscribed in this circle. What is the measure of angle a?
Answer:
Step-by-step explanation:
The rule is that opposite angles are supplementary. Therefore, angle A plus angle C = 180:
angle A + 43 = 180 and
angle A = 180 - 43 so
angle A = 137
In the figure, p is parallel to s. Trasnversals t and w intersect at point L.
Statement
What is the missing reason in step 3?
a.) Alternate interior angles along parallel lines are congruent
b.) Alternate exterior angles along parallel lines are congruent
c.) Corresponding angles along parallel lines are congruent
d.) Vertical angles are congruent
Option C
Corresponding angles along parrellel lines are conguerent
Answered by Gauthmath pls mark brainliest and comment thanks and click thanks
What is (9.3x10^34) in scientific notation?
(3.1x 10^17)
Answer:
B
Step-by-step explanation:
3 x 10 ^17
Which is B
edit: So when doing scientific notation, you just divide the important first number of 9.3 or whatever by 3.1 like normal.
Then, when doing exponents, heres a rule of thumb.
When adding exponents, the base must be the same.
9.3 ^ 100 + 9.3 ^ 3 = 9.3 ^103
9.3 ^ 29 + 4.4 ^ 54 = cannot be solved
When subtracting exponents, the same rule applies as adding, the bases must be the same, otherwise, you just subtract or add like normal.
When dividing exponents, you just subtract exponents. The bases must be the same though of course.
3 ^ 30
----------
3 ^ 20
==== 3 ^ 10
When multiplying exponents, you add exponents like normal. Bases are the same ect.
4 ^ 49 x 4 ^ 2 = 4 ^ 51
When doing scientific notation, the same rule applies.
The 10 is the base, so in your case, you divide the 9.3 and 3.1 like normal to get 3.
The exponent by the 10 is subtracted to get 17 since 34 - 17 = 17.
For the function determine:
Answer:
answer for number a is 3/2
answer for number b is 6
answer for number c is 8
find the missing side lengths
Answer:
Step-by-step explanation:
Because it is a 45-45-90 triangle
b=5
a= 5[tex]\sqrt{2}[/tex]
Sum of zeroes of polynomial 2x²-x-3 is ? Full solved answers ✔ No spam ❌
Answer:
[tex]\frac{1}{2}[/tex]
Step-by-step explanation:
Given a quadratic equation in standard form
ax² + bx + c = 0 , then the sum of the roots is
α + β = - [tex]\frac{b}{a}[/tex]
Here 2x² - x - 3 = 0 is in standard form
with a = 2 and b = - 1 , then
sum of roots = - [tex]\frac{-1}{2}[/tex] = [tex]\frac{1}{2}[/tex]
Graph the function
Is it a, b, c or d?
Answer:
D
Step-by-step explanation:
(the line is a / shape, so the slope is positive)
(the line crosses the y axis at (0,-2))
(using the above information, we can conclude that the equation is y=2x-2)
or
slope = m = rise/run = 2/1 = 2
y=mx+b
y=2x+b
Choose any point on the line) (1,0)
0=2(1)+b
b=-2
y=2x-2
Find the area of the shaded regions:
Answer:
18[tex]\pi[/tex]
[tex]\frac{80}{360} * 81 \pi[/tex]
Step-by-step explanation:
find the measure of the indicated angle to the nearest degree
Answer:
Step-by-step explanation:
There are 4512 marbles which will be divided equally among 48 students how many marbles will each student get
Answer:
94 marbles
Step-by-step explanation:
4512/48 = 94
17) Hector can deliver 30 papers in 20 minutes on his motor bike. How many papers can Hector deliver?
18) Linda is getting married today and her bouquet has three white roses in it, representing 15% of the total flowers in the bouquet. how many flowers are there in all of Linda's bouquet ?
19) write the expression using exponents that is equal to 5x5x5x5?
Answer:
17) You need a time line for question.
18) 100
19) 5 to the 4th power
Find the value of x.
A. 31
B. 25
C.5
D. 11
Answer:
D) 11
Step-by-step explanation:
Explanation:
Segment AC is the midsegment of the trapezoid (since A and C are midpoints of DE and FB respectively)
This means that AC is the average of the two parallel bases EB and DF
AC = (EB + DF)/2
x = (9 + 13)/2
x = 22/2
x = 11
The value of x is 11.
What is mid point theorem?The midpoint theorem states that the line segment joining the midpoints of any two sides of a triangle is parallel to the third side and equal to half of the length of the third side. This theorem is used in various places in real life, for example in the absence of a measuring instrument, we can use the midpoint theorem to cut a stick into half.
In math, we also have a midpoint theorem formula which has its applications in coordinate geometry. It can also be known as the midpoint theorem of a line segment. It states that if we have a line segment whose endpoints coordinates are given as (x1, y1) and (x2, y2), then we can find the coordinates of the midpoint of the line segment by using the formula given below:
Let (xm, ym) be the coordinates of the midpoint of the line segment. Then,
(xm, ym) = ( (x1 + x2)/2 , (y1 + y2)/2 )
This is known as the midpoint theorem formula.
As, A and C are midpoints of DE and FB respectively
AC = (EB + DF)/2
x = (9 + 13)/2
x = 22/2
x = 11
Learn more about mid point theorem here:
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PLEASE HELP!
Simplify.
x^2-3x-10/x+3/2x^2-7x-15/x^2-9
Answer:
3rd option, x^2-x-6/2x+3
The expression in the simplified form will be (x² - x - 6) / (2x + 3). Then the correct option is C.
What is Algebra?Algebra is the study of abstract symbols, while logic is the manipulation of all those ideas.
The acronym PEMDAS stands for Parenthesis, Exponent, Multiplication, Division, Addition, and Subtraction. This approach is used to answer the problem correctly and completely.
The expression is given below.
⇒ [(x² - 3x - 10) / (x + 3)] / [(2x² - 7x - 15) / (x² - 9)]
Simplify the expression, then we have
⇒ [(x² - 3x - 10) / (x + 3)] / [(2x² - 7x - 15) / (x² - 9)]
⇒ [(x² - 3x - 10) (x² - 3²)] / [(2x² - 7x - 15) (x + 3)]
⇒ [(x² - 5x + 2x - 10) (x - 3)(x + 3)] / [(2x² - 10x + 3x - 15) (x + 3)]
⇒ [(x - 5)(x + 2)(x - 3)] / [(2x + 3)(x - 5)]
⇒ [(x + 2)(x - 3)] / (2x + 3)
⇒ (x² - x - 6) / (2x + 3)
The expression in the simplified form will be (x² - x - 6) / (2x + 3). Then the correct option is C.
More about the Algebra link is given below.
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A bag contains five white balls and four black balls. Your goal is to draw two black balls. You draw two balls at random. What is the probability that they are both black
Answer:
0.1667 = 16.67% probability that they are both black.
Step-by-step explanation:
The balls are drawn without replacement, which means that the hypergeometric distribution is used to solve this question.
Hypergeometric distribution:
The probability of x successes is given by the following formula:
[tex]P(X = x) = h(x,N,n,k) = \frac{C_{k,x}*C_{N-k,n-x}}{C_{N,n}}[/tex]
In which:
x is the number of successes.
N is the size of the population.
n is the size of the sample.
k is the total number of desired outcomes.
Combinations formula:
[tex]C_{n,x}[/tex] is the number of different combinations of x objects from a set of n elements, given by the following formula.
[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]
In this question:
5 + 4 = 9 balls, which means that [tex]N = 9[/tex]
4 are black, which means that [tex]k = 4[/tex]
2 are chosen, which means that [tex]n = 2[/tex]
What is the probability that they are both black?
This is P(X = 2). So
[tex]P(X = x) = h(x,N,n,k) = \frac{C_{k,x}*C_{N-k,n-x}}{C_{N,n}}[/tex]
[tex]P(X = 2) = h(2,9,2,4) = \frac{C_{4,2}*C_{5,0}}{C_{9,2}} = 0.1667[/tex]
0.1667 = 16.67% probability that they are both black.
17’4” multiply by 17’5”
Find the slope when Y2 equals 8Y1 equals 4 X2 equals 6 and X1 equals 7
Answer: -4 is slope
Step-by-step explanation:
formula is y2-y1/ x2-x1
8-4=4
6-7=-1
4/-1= -4
Help pleaseee I need it so bad
Answer:
Step-by-step explanation:
x²+x-12=0
D=49
X1=3
X2=-4
First is (-4;16)
Put x to the equation y=12-3=9
The other is (3;9)
W
I don't understand plz help out
Step-by-step explanation:
V(-2,1)
U(1,3)
E(0,1)
the dilation is by 1/2 so multiply all numbers by a half, hope you pass!!
A juice machine is set to dispense 16 ounces of juice. The amount of juice
dispensed is normally distributed, with a mean of 16.15 ounces and a
standard deviation of 0.25 ounces. In which range will the amount of juice
dispensed be found 68% of the time?
Answer: A): 15.90 ounces to 16.4 ounces.
Step-by-step explanation:
Considering the standard deviation is 0.25 ounces. The mean of the juice is 16.15 ounces. Additionally, 68% is one standard deviation away from the mean.
With that being said, you would do the following calculations:
[tex]16.15-0.25=15.90\\\\16.15+0.25=16.40[/tex]
This question relates to The Empirical Rule and understanding how it works. A brief summary is that within one standard deviation of the mean, that is where 68% of the data lies. Two standards deviations is 95%. And three standard deviations is 99.5%.
The formula: [tex]u\frac{+}{-} o[/tex]
the mean PLUS OR MINUS the standard deviation.
Answer:
A
Step-by-step explanation:
I need help for this question 3 so can anyone help me please
What is the volume of the pyramid below?
Answer:
we can find volume of a pyramid when we use this formule: area of triangle*high/3
Step-by-step explanation:
let's we put the data (8*6/2)*7/3= (48/2)*7/3=56
Someone please help me it would mean alot !!
Answer:
y intercept ( 0, 0.4)
x intercept ( 0.3, 0)
Step-by-step explanation:
The y intercept is where is crosses the y axis and the x value is zero
(0, 0.4)
The x intercept is where is crosses the x axis and the y value is zero
(0.3,0)
The tangent ration! helpp!!
Answer:
13.5
Step-by-step explanation:
Given
tan34° = [tex]\frac{x}{20}[/tex] ( multiply both sides by 20 )
20 × tan34° = x , then
x ≈ 13.5 ( to the nearest tenth )
The height of a right cylinder is 3 times the radius of the base. The volume of the cylinder is 247 cubic units.
What is the height of the cylinder?
O 2 units
O 4 units
O 6 units
O 8 units
The height of the cylinder is 6 units.
What is cylinder?A cylinder has traditionally been a three-dimensional solid, one of the most basic of curvilinear geometric shapes. In elementary geometry, it is considered a prism with a circle as its base.
Given that, the height of a right cylinder is 3 times the radius of the base. The volume of the cylinder is 24π cubic units.
Volume = π × radius² × height
Let the height of 3x then the radius will be x,
24π = π × x² × 3x
24 = 3x³
x = ∛8
x = 2
Therefore, height = 6
Hence, the height of the cylinder is 6 units.
Learn more about cylinders, click;
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What is the equation of the graph
Answer:
[tex]y = 2x^2 + 1[/tex]
Step-by-step explanation:
The graph you see there is called a parabola. The general equation for the graph is as below
[tex]y = a*x^2 + b[/tex]
To find the equation we need to find the constants a and b. The constant b is just how much we're lifting the parabola by. Notice it's lifted by 1 on the y axis.
To find a it's a little more tricky. Let's use the graph to find a value for a by plugging in values we know. We know that b is 1 from the previous step, and we know that when x=1, y=3. Let's use that!
[tex]3 = a * (1)^2 + 1\\2 = a[/tex]
Awesome, we've found both values. And we can write the result.
[tex]y = 2x^2 + 1[/tex]
I'll include a plotted graph with our equation just so you can verify it is indeed the same.
