ABC is dilated by a factor of 5 to produce A'B'C.What is A'C, the length of AC after the dilation?What is the measure of

H(x) = x^2 + 1 k(x) = x – 2 (h + k)(2)=?

likoan [24]

First we will compute the h+k and then multiply the result by 2.
To add polynomials, we add terms whose variables are alike, for example:
we add the coefficients of x^2 together, the coefficients of x together and so on.

Therefore:
h + k = x^2 + 1 + x - 2 = x^2+x-1

Now, we will multiply this answer by 2 to get the final answer:
2(h+k) = 2(x^2+x-1) = 2x^2 + 2x -2

6 0

4 years ago

Your answer should be a polynomial in standard form. (x + 5)(x +3)=(x+5)(x+3)

sattari [20]

Answer:

∴(x+5)(x+3) =x²+8x+15

Step-by-step explanation:

Standard form of a polynomial:

Standard of polynomial means that the terms ordered from biggest exponent of variable to lowest exponent of variable.

Example:

$a_nx^n+a_{n-1}x^{n-1}+a_{n-2}x^{n-2}+......$

Given,

(x+5)(x+3)

=x(x+3)+5(x+3)

=x²+3x+5x+15

=x²+8x+15

∴(x+5)(x+3) =x²+8x+15

The degree of the polynomial is 2 and is a one variable polynomial.

7 0

3 years ago

Taryn conducted a science experiment on saturation. She added sugar to sugar water solution at different intervals. The graph sh

dusya [7]

Equation of a line:
$y=mx+c$

m = gradient: The difference between two y points and two x points.
$m= \frac{\Delta y}{\Delta x}$

c = y-intercept: Where the line crosses the y-axis (x=0)

You have:
$y=\textunderscore\textunderscore \ x + \textunderscore$
so you are missing the m and the c.

To calculate m find two y coordinates -you have (12, 7) and (0, 1)- and subtract them. Then divide this by the subtracted values of the x coordinates -you have (12, 7) and (0, 1)- This gives:

$m= \frac{7-1}{12-0}$
$m= \frac{6}{12}$
$m=0.5$

To calculate the c, you just see where the line crosses the y-axis. Because you have the point (0, 1), you know that when x=0, y=1. Because x=0 is on the y-axis, you can tell that the line passes through y=1. This makes your c = 1:

$c=1$

When you plug these values into the equation you get your answer:

$y=0.5x+1$

6 0

3 years ago

Find what equals to x and what equals to y

Nuetrik [128]

Answer:

x=15√2 y=90 degrees.

Step-by-step explanation:

Thanks to the Pythagorean Theorem we know that with any right triangle, A^2+B^2=C^2. In this case we can use 15^2+15^2=sqrt of 450. The square root of 450 is 15 times the square root of 2. Thus x=15√2. Now we need to find y. All angles in a triangle add up to 180 so if we have 45+45+y=180 then y=90.

3 0

3 years ago

Help me please, I’m stuck!

Veseljchak [2.6K]

Answer:

5. (x, y) ⇒ (x +5, y +1)

6. (x, y) ⇒ (x +4, y -1)

Step-by-step explanation:

A translation rule will generally have the form ...

(x, y) ⇒ (x +h, y +k)

where (h, k) is the horizontal and vertical distance to the right and up that the figure is being translated.d

5) The image is 5 units right and 1 unit up from the original, so in the above formula, (h, k) = (5, 1) and the translation rule is ...

(x, y) ⇒ (x +5, y +1)

__

6) The image is 4 units right and 1 unit down from the original, so (h, k) = (4, -1) and the transformation rule is ...

(x, y) ⇒ (x +4, y -1)

4 0

3 years ago