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2 years ago

Which of the following is a transformation of the graph y = (x - 5)^2?

2 answers:

8 0

Answer: B. Shifts right 5

Explanation:

When the number after the variable is in the parentheses, the transformation will be opposite of the sign. In this problem, the sign for 5 is negative so you would be going right 5 units because right is positive so that would be the opposite of the sign.

natka813 [3]2 years ago

3 0

Answer:

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Ray has found that his new car gets 31 miles per gallon on the highwayand 26 miles per gallon in the city. He recently drove 285

Mkey [24]

Answer:

$Highway = 155\ miles$

$City = 130\ miles$

Step-by-step explanation:

Given

$Highway = 31mi/gallon$

$City = 26mi/gallon$

$Total\ Miles = 285$

$Total\ Gallons = 10$

Required

Determine the number of miles driven on the highway and on the city

Represent the gallons used on highway with h and on city with c.

So, we have:

$c + h = 10$ ---- gallons used

and

$31h + 26c = 285$ --- distance travelled

In the first equation, make c the subject

$c = 10 - h$

Substitute 10 - h for c in the second equation

$31h + 26c = 285$

$31h + 26(10 - h) = 285$

Open bracket

$31h + 260 - 26h = 285$

Collect like terms

$31h - 26h = 285 - 260$

$5h = 25$

Make h the subject

$h = \frac{25}{5}$

$h = 5$

Substitute 5 for h in $c = 10 - h$

$c = 10 - 5$

$c = 5$

If on the highway, he travels 31 miles per gallon, then his distance on the highway is:

$Highway = 31 * 5$

$Highway = 155\ miles$

If in the highway, he travels 26 miles per gallon, then his distance on the highway is:

$City = 26 * 5$

$City = 130\ miles$

8 0

2 years ago

Which postulate or theorem, if any, could be used to prove the triangles congruent? If not

inysia [295]

Question 11a)

We are given side BC equals to side CE and angle CBA equals to angle CED
We also know that angle ACB equals to angle ECD are equal (opposite angles properties)

We have enough information to deduce that triangle ABC and triangle CDE are equal by postulate Angle-Side-Angle (ASA)

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Question 11b)

We are given side AB equal to side ED, side BC equals to side EF, and side AC equals to side DF
We have enough information to deduce that triangle ABC and triangle DEF congruent by postulate Side-Side-Side (SSS)

----------------------------------------------------------------------------------------------------------------

Question 11c)

We are given side AC equals to side DF, angle ABC equals to angle DEF, and angle BAC equals to angle EDF

We have enough information to deduce that triangle ABC congruent to triangle DEF by postulate Angle-Side-Angle (ASA)

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Question 11d)

We do not have enough information to tell whether this shape congruent or not

7 0

3 years ago

Read 2 more answers

What is the quotient of –11.25 divided by –0.375?<br> –30<br> –3<br> 3<br> 30

Arisa [49]

Answer:

Step-by-step explanation:

If you divide a negative with a negative, you get a positive.

5 0

2 years ago

Read 2 more answers

Use algebraic methods to prove that the given function has an x-intercept that is equal to its y-intercept. In your final answer

Llana [10]

Given the function, y = x/( x^2 – 1)

Add x and subtract x from (x^2 – 1) to make it a complete square

y = x/(x^2 + x – x – 1)

y = x/[x(x + 1) – 1(x + 1)]

y = x/[(x – 1)(x + 1)]

In order to find the y -intercept, we set x = 0

When x = 0

y = 0/[(0 – 1)(0 + 1)]

y = 0.

Therefore, the y-intercept is zero.

In order to find the x -intercept, we set y = 0

When y = 0

0 = x/[(x – 1)(x + 1)]

The only way the product of a division will be zero is if the numerator is zero

So, if x/[(x – 1)(x + 1)] = 0

x = 0

Therefore, the x-intercept is also zero.

Since both x- intercept and y- intercept equal zero,

Then, the given function has an x-intercept that is equal to its y-intercept

5 0

3 years ago

Read 2 more answers

1/2 of 2/3 = 1/2 of ____ third(s) =____third(s)

adoni [48]

I'll write the equation again with the blanks filled in.

1/2 of 2/3 = 1/2 of two thirds = one third

2/3 is read as two thirds.

Half of 2/3 is 1/3, because 1/3+1/3=2/3

Hope this helps!

6 0

3 years ago