All categories

2 years ago

Got another hard question.

Mathematics

2 answers:

Kamila [148]2 years ago

7 0

Answer:

D) 1/2

Step-by-step explanation:

<u>Dilation</u> : a type of transformation that makes the figure larger or smaller.

<u>Scale factor</u> : number or the conversion factor which is used to change the size of a figure without changing its shape.

Scale factor = dimensions of the new shape ÷ dimensions of the original shape

Given:

Length of new figure P'Q' = 3 units
Length of original figure PQ = 6 units

Therefore, scale factor = 3 ÷ 6 = 1/2

Marina86 [1]2 years ago

3 0

P(4,4)
P'(2,2)
Q(4,-2)
Q'(2,-1)

Here

Scale factor is

$\\ \tt\hookrightarrow 2/4=1/2$

You might be interested in

Given that (x+y+z)(xy+xz+yz)=18 and that x^2(y+z)+y^2(x+z)+z^2(x+y)=6 for real numbers x, y, and z, what is the value of xyz?

worty [1.4K]

Answer:

Step-by-step explanation:

$(x+y+z)(xy+xz+yz)=18$ Equation 1

$x^2(y+z)+y^2(x+z)+z^2(x+y)=6$ Equation 2

What is the value of $xyz$ where each variable represents a real number?

Let's expand equation 1:

$(x+y+z)(xy+xz+yz)=18$

$x(xy)+x(xz)+x(yz)+y(xy)+y(xz)+y(yz)+z(xy)+z(xz)+z(yz)=18$

Simplify each term if can:

$x^2y+x^2z+xyz+y^2x+xyz+y^2z+xyz+z^2x+z^2y=18$

See if we can factor a little to get some of the left hand side of equation 2:

The first two terms have $x^2$ and if I factored $x^2$ from first two terms I would have $x^2(y+z)$ which is the first term of left hand side of equation 2.

So let's see what happens if we gather the terms together that have the same variable squared together.

$x^2y+x^2z+y^2x+y^2z+z^2y+z^2x+xyz+xyz+xyz=18$

Factor the variable squared terms out of each binomial pairing:

$x^2(y+z)+y^2(x+z)+z^2(y+x)+xyz+xyz+xyz=18$

Replace the sum of those first three terms with what it equals which is 6 from the equation 2:

$6+xyz+xyz+xyz=18$

Combine like terms:

$6+3xyz=18$

Subtract 6 on both sides:

$3xyz=12$

Divide both sides by 3:

$xyz=4$

4 0

3 years ago

19 A triangle has coordinate points at A 1, 3) B(3, 6) and C(3, 3). What is distance between of AC? (8 Points)

lawyer [7]

Answer:

4 I think

Step-by-step explanation:

hope this help's

3 0

2 years ago

Can someone please help me fill in the answer in the bottom.

Julli [10]

Answer:

Step-by-step explanation:

1) Initial water level = 30 feet

2) Rate of change = (30 - 25) / (0 - 1) = 5/(-1) = -5

5ft per hour

3) y-intercept = 30

6 0

2 years ago

Read 2 more answers

Write the number shown by 200+10+7

Natasha_Volkova [10]

The number would be 217

8 0

2 years ago

Read 2 more answers

What is 77 = 4x + 57

Svetach [21]

Answer:

$x=5$

Step-by-step explanation:

$77=4x+57$

Subtract 57 from both sides:

$4x=20$

Divide both sides by 4:

$x=5$

3 0

3 years ago

Got another hard question. ​

Got another hard question.