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3 years ago

A composition of a reflection and a translation is called a __________________

1 answer:

8 0

A reflection is a transformation across a line called the line of reflection, so that the line of reflection is the perpendicular bisector of each segment joining each point and its image. ... A translation is an isometry , so the image of a translated figure is congruent to the preimage.

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A car travels 182 miles in 3 hours and 15 minutes. How many miles does it travel per hour?

timofeeve [1]

57 miles about I'm not positive but I think this is right

6 0

3 years ago

Write the equation of the parabola that has its x-intercepts at (1+<img src="https://tex.z-dn.net/?f=%5Csqrt%7B5%7D" id="TexForm

VladimirAG [237]

Answer:

$y=2x^2-4x-8$

Step-by-step explanation:

<u>Factored form of a parabola</u>

$y=a(x-p)(x-q)$

where:

p and q are the x-intercepts.
a is some constant.

Given x-intercepts:

(1+√5, 0)
(1-√5, 0)

Therefore:

$\implies y=a(x-(1+\sqrt{5}))(x-(1-\sqrt{5}))$

$\implies y=a(x-1-\sqrt{5})(x-1+\sqrt{5})$

To find a, substitute the given point (4, 8) into the equation and solve for a:

$\implies a(4-1-\sqrt{5})(4-1+\sqrt{5})=8$

$\implies a(3-\sqrt{5})(3+\sqrt{5})=8$

$\implies4a=8$

$\implies a=2$

Therefore, the equation of the parabola in factored form is:

$\implies y=2(x-1-\sqrt{5})(x-1+\sqrt{5})$

Expand so that the equation is in standard form:

$\implies y=2(x^2-x+\sqrt{5}x-x+1-\sqrt{5}-\sqrt{5}x+\sqrt{5}-5)$

$\implies y=2(x^2-x-x+\sqrt{5}x-\sqrt{5}x+\sqrt{5}-\sqrt{5}+1-5)$

$\implies y=2(x^2-2x-4)$

$\implies y=2x^2-4x-8$

6 0

1 year ago

48/31 in simplest form

Eduardwww [97]

48/31 is already at its simplest form, however you can change it to a mixed fraction which would become 1 17/31

3 0

4 years ago

Read 2 more answers

Which expression is undefined?

Mkey [24]

Answer:

D: $\frac{3}{(6-6)}$

Step-by-step explanation:

Option A equates to $-\frac{0}{2}=0$

Option B equates to $\frac{(-4+0)}{8}=\frac{-4}{8}=-\frac{1}{2}$

Option C equates to $0\div11 =0$

Option D equates to $\frac{3}{(6-6)}=\frac{3}{0}$ which cannot be defined as division by 0 is impossible

7 0

2 years ago

Which of the following is the sum of all the odd integers between 5 and 102?

STALIN [3.7K]

Answer:

2601

Step-by-step explanation:

The integers between 5 and 102 are

7, 9, 11, 13, 15, 17,19, 21, 23, 25, 27, 29, 31, 33, 35, 37, 39, 41, 43, 45, 47, 49, 51, 53, 55, 57, 59, 61, 63, 65, 67, 69, 71, 73, 75, 77, 79, 81, 83, 85, 87, 89, 91, 93, 95, 97, 99, 101

The sum of the odd intergers between 2 and 105 can be calculated as follows

= (N + 1/2)^2

= (101 + 1 /2) ^2

= (102/2)^2

= 51^2

= 2601

Hence the sum of the odd intergers between 5 and 102 is 2601

3 0

3 years ago