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eimsori [14]
3 years ago
8

Triangle ABC is dilated by a scale factor of 4 to form triangle A′B′C′.

Mathematics
1 answer:
rosijanka [135]3 years ago
3 0
Vertex A' (-8,4)
vertex B' (-12,12)
vertex C' (-4,12)
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(9-a+5a)/c (a=6,c=9)
SIZIF [17.4K]
\frac{9-a+5a}{c} = \frac{9-(6)+5(6)}{(9)}= \frac{3+30}{9} = \frac{33}{9} = \frac{11}{3}
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3 years ago
A triangle has a side length of 4 centimeters and an area of 12 square centimeters. A similar triangle has a corresponding side
Setler [38]

Answer:

The area of the larger triangle is 48 square centimeters

Step-by-step explanation:

Please kindly check the attached file for details.

4 0
3 years ago
List all the factor pairs for 63
fgiga [73]
The factors of 63. Answer : 1,3,7,9<span>,21,63</span>
4 0
2 years ago
A FIGURE HAS AN AREA OF 50 UNITS.WHAT WILL THE NEW AREA BE AFTER A DILATION WITH SCALE FACTOR OF 3
xenn [34]

Answer:

150 units

Step-by-step explanation:

50 x 3 = 150

6 0
2 years ago
Use a linear approximation (or differentials) to estimate the given number. (Round your answer to five decimal places.)
Salsk061 [2.6K]

Answer:

Mix fraction: 3 1/27

Improper fraction: 82/27

Decimal approximation: 3.037

Step-by-step explanation:

What value is close to 28 that is a perfect cube...27 which equals 3^3.

So let's find the tangent line to the curve y=cubert(x) at x=27.

We will use this equation to approximate what happens at x=28.

First let's rewrite the radical in our equation;

y=x^(1/3)

Now differentiate

y'=(1/3) x^(1/3-1) by power rule

Simplify

y'=(1/3) x^(-2/3) or (1)/(3x^[2/3])

So the slope of our tangent line at x=27 is (1)/(3(27)^[2/3])=1/(3(3)^2)=1/(3×9)=1/27.

We will also need a point on this tangent line....We know we have the point at x=27 because that is what our tangent line to curve is being found at.

So at x=27, we have y=cubert(27)=3. We used our equation y=cubert(x) here.

So we want to find the equation of the line that contains point (27,3) and has slope 1/27.

Point-slope form is

y-y1=m(x-x1)

Plug in our values

y-3=(1/27)(x-27)

Add 3 on both sides

y=3+(1/27)(x-27)

We will use this linear equation to approximate cubert(28) by replacing x with 28.

y=3+(1/27)(28-27)

y=3+(1/27)(1)

y=3+1/27

You can write that as a mix fraction if you want.

This value is than 3 but super close to 3 since 1/27 is close to 0.

Mix fraction: 3 1/27

Improper fraction: 82/27

Decimal approximation: 3.037

Cubert of 28 when smashed into calculator as is gives approximately 3.0366 which is pretty close to our approximation.

4 0
2 years ago
Read 2 more answers
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