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3 years ago

Please help me understand

Mathematics

1 answer:

Olin [163]3 years ago

6 0

Answer:

Step-by-step explanation:

The scaled factor has to be 2 because 4*2=8. You can check 2 is the correct answer by doing 8/2, which is 4. The scaled factor has to be proportional so if one side of ABC was 2 but the same side on ABC prime or A’B’C’ was 10 it would not be proportional, not a scaled factor. Because 2*10 is 5, not 8. But it does not give any other side lengths so it is 4.

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What's the center of a circle whose equation is (x – 14)2 + (y + 21)2 = 64?

kvasek [131]

Answer:

The center of the circle is:

$\left(a,\:b\right)=\left(14,\:-21\right)$

Thus, option (2) is true.

Step-by-step explanation:

The circle equation is given by

$\left(x-a\right)^2+\left(y-b\right)^2=r^2$

here,

r = raduis

center = (a, b)

Given the equation

$\left(x-14\right)^2+\left(y+21\right)^2=64$

$\mathrm{Rewrite}\:\left(x-14\right)^2+\left(y+21\right)^2=64\:\mathrm{in\:the\:form\:of\:the\:standard\:circle\:equation}$

$\left(x-14\right)^2+\left(y-\left(-21\right)\right)^2=8^2$

comparing with the circle equation

$\left(x-a\right)^2+\left(y-b\right)^2=r^2$

Therefore, the center of the circle is:

$\left(a,\:b\right)=\left(14,\:-21\right)$

Thus, option (2) is true.

7 0

3 years ago

3x+y=1/3<br> 2x-3y=8/3<br><br> Solve the system of linear equation using any method.

krek1111 [17]

3x + 1y = ¹/₃   ⇒ 9x + 3y = 1
2x - 3y = 2²/₃ ⇒ 2x - 3y = 2²/₃
   11x = 3²/₃
      11    11
         x = ¹/₃
   3x + y = ¹/₃
         3(¹/₃) + y = ¹/₃
   1 + y = ¹/₃
   - 1 - 1
   y = ⁻²/₃
      (x, y) = (¹/₃, ⁻²/₃)

4 0

3 years ago

I need help with this

8090 [49]

Answer:

Step-by-step explanation:

9/I0 x 2/2 =9/I0

Or 0.9 in decimals

4 0

3 years ago

Read 2 more answers

What is the slope of the line that contains these points?

Tasya [4]

Use desmos it helps alot :)

4 0

3 years ago

A 96-ft high transmission tower casts a 72-ft long shadow. An anchor wire runs from the top of the tower to the tip of the shado

galben [10]

See attached picture and check solution below.
We are given with the following values:
A = length of transmission line = 96ft
B = length of shadow = 72 feet
C = distance of ladder to base of transmission line = 66 feet

Solve for angle created between the wire and tip of the shadow:
tan x = opposite/ adjacent
tan x = 96 feet / 72 feet
x = 53.13°

Solving for the height of the ladder:
tan x = Ladder length / (72-66)
tan 53.13° * (72-66) = ladder length
ladder length = 8 feet

The answer is letter "B" which is 8 feet.

5 0

3 years ago