All categories

3 years ago

Geometry math question no Guessing and Please show work

Mathematics

1 answer:

djverab [1.8K]3 years ago

7 0

The scale factor is -2. The answer is choice A

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

How did I get this answer? By picking any pair of preimage and corresponding image points. Let's pick on preimage point A and its paired image value A'.

Note how the x coordinate jumps from -11 to +22. So we multiplied by -2 to do this jump. We can see that 22/(-11) = -2 is another way to get this. Similarly, the same happens to the y coordinates as well: -14/7 = -2.

In short, you multiply the preimage coordinate by the scale factor -2 to get the corresponding image coordinates. Points B and C will follow the same pattern.

You might be interested in

Solve equation using substitution method <br> 4(x-1)-3x=2

NikAS [45]

Answer:

x = 6

Step-by-step explanation:

Step 1: Write equation

4(x - 1) - 3x = 2

Step 2: Solve for <em>x</em>

Distribute 4: 4x - 4 - 3x = 2
Combine like terms: x - 4 = 2
Add 4 to both sides: x = 6

Step 3: Check

<em>Plug in x to verify it's a solution.</em>

4(6 - 1) - 3(6) = 2

4(5) - 18 = 2

20 - 18 = 2

2 = 2

8 0

3 years ago

Read 2 more answers

What is the length of Line segment B C, rounded to the nearest tenth? 13. 0 units 28. 8 units 31. 2 units 33. 8 units.

Len [333]

The length of the line segment BC is 31.2 units.

<h2>Given that</h2>

Triangle ABC is shown.

Angle ABC is a right angle.

An altitude is drawn from point B to point D on side AC to form a right angle.

The length of AD is 5 and the length of BD is 12.

<h3>We have to determine</h3>

What is the length of Line segment BC?

<h3>According to the question</h3>

The altitude of the triangle is given by;

$\rm Altitude = \sqrt{xy}$

Where x is DC and y is 5 units.

Then,

The length DC is.

$\rm Altitude = \sqrt{xy}\\
\\
12 = \sqrt{(DC) \times 5}\\
\\
\sqrt{DC } = \dfrac{12}{\sqrt{5}}\\
\\
$

Squaring on both sides

$\rm DC = \dfrac{144}{5}\\
\\
DC = 28.8$

Considering right triangle BDC, use the Pythagorean theorem to find BC:

$\rm BC^2 = DC^2+BD^2\\\\ BC^2 = (28.8)^2+(12)^2\\

\\
BC = \sqrt{829.44+144}\\
\\
BC = \sqrt{973.44}\\
\\
\rm BC = 31.2 \ units$

Hence, the length of the line segment BC is 31.2 units.

To know more about Pythagoras Theorem click the link given below.

brainly.com/question/26252222

6 0

2 years ago

Use the zero product property to solve the equation. (4k+5)(k+7)=0

Maru [420]

The zero product property tells us that if we have
xy=0, then we can assume that x and y both equal 0

so

(4k+5)(k+7)=0
we can assume that 4k+5=0 and k+7=0
so

4k+5=0
minus 5 both sides
4k=-5
divide both sides by 4
k=-5/4

k+7=0
minus 7 both sides
k=-7

k=-5/4 or -7

7 0

3 years ago

A new company opens and finds the profits from their first year in business is $24,000. They project the company's profits to in

Fiesta28 [93]

Answer:

$4406.7 is the profit.

explanation:

compound interest formula: $\sf \large\boxed{\sf P(1+\frac{r}{100})^n }$