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2 years ago

13

The point Al-2, 3) is translated using T: (x,y) → (x+4, y+2).

1 answer:

almond37 [142]2 years ago

4 0

Answer:

The distance between A and A' is:

$distance=\sqrt{20}$

Step-by-step explanation:

Notice that point A' after the given translation becomes: (-2+4, 3+2) = (2, 5),

So one can calculate the distance between A (-2, 3) and A' (2, 5) using the distance formula:

$distance=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}\\distance=\sqrt{(2-(-2))^2+(5-3)^2} \\distance=\sqrt{(4))^2+(2)^2} \\distance=\sqrt{(16+4} \\distance=\sqrt{20}$

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In this diagram, BAC – EDF. If the

puteri [66]

The triangles are congruent. So.

Triangle ABC is 24 inch^2 and BC is 4 inches.
The area of a triangle is 0.5 x base x height. The will be 12 because 12 x 4 x 0.5 which equals 24.

Triangle DEF is half the size of ABC because bc is 4 and EF is 2 showing it’s half. This then means the height will be half which then mean it will be 6.

This then means we can use the equation to work it out. So. 6 x 0.5 x 2 = 6in^2

The answer is 6inches^2

6 0

2 years ago

A particular virus becomes inactive at any temperature below 10 F what would be the inequality

laiz [17]

Hfyfuifiyifuyfuyiyffiyfyfuydiduyffccjvhjvkhvhb,j

8 0

3 years ago

Find two positive consecutive odd integers such that square of the smaller integer is 10 more than the larger integer

Otrada [13]

Let $2n+1$ be the smaller integer. The larger integer is then $2n+3$ , and we have

$(2n+1)^2=10+(2n+3)\implies4n^2+4n+1=2n+13$

$\implies4n^2+2n-12=0$

$\implies2n^2+n-6=0$

$\implies(2n-3)(n+2)=0$

$\implies 2n-3=0\text{ or }n+2=0$

$\implies n=\dfrac32\text{ or }n=-2$

We omit $n=-2$ , since $2(-2)+1=-3$ is negative.

Then for $n=\dfrac32$ we find $2\left(\dfrac32\right)+1=4$ , but this is not odd.

There are no consecutive odd integers that satisfy the given condition!

3 0

2 years ago

What is the answer ti 3\4 × g = 5/8

gladu [14]

For this case we have the following expression:

$\frac {3} {4} g = \frac {5} {8}$

We clear the value of the variable "g", for this:

We multiply by 4 on both sides of the equation:

$4 * \frac {3} {4} g = \frac {5} {8} * 4\\3g = \frac {20} {8}$

We divide by 3 on both sides of the equation:

$\frac {3g} {3} = \frac {20} {8 * 3}\\g = \frac {20} {24}$

We simplify:

$g = \frac {10} {12} = \frac {5} {6}$

Answer:

$g = \frac {5} {6}$

4 0

2 years ago

X varies directly as y. If x is 9 when y is 4, find x when-y is 8.

jeka94

Answer:

see explanation

Step-by-step explanation:

Given x varies directly as y then the equation relating them is

x = ky ← k is the constant of variation

To find k use the condition x = 9 when y = 4

k = $\frac{x}{y}$ = $\frac{9}{4}$ = 2.25

x = 2.25y ← equation of variation

When y = 8, then

x = 2.25 × 8 = 18

4 0

3 years ago