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2 years ago

Tangle ABC is dilated to create triangle ABC using

Mathematics

1 answer:

solmaris [256]2 years ago

3 0

Answer:

scale factor = 4

Step-by-step explanation:

The scale factor is the ratio of OA' to OA , that is

scale factor = $\frac{OA'}{OA}$ = $\frac{3+9}{3}$ = $\frac{12}{3}$ = 4

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Solve the system of equations by elimination. 2x - y + 3z=-1 x + 2y - 4z=-1 y – 2z=0

MrRa [10]

Answer:

x = -1, y = 2 and z = 1

Step-by-step explanation:

The given system of equations are :

2x - y + 3z= -1 ....(1)

x + 2y - 4z = -1 ......(2)

y – 2z = 0 .....(3)

Equation (3) can be written as :

y = 2z

Use y = 2z in equation (2)

x + 2(2z) - 4z = -1

x + 4z - 4z = -1

x = -1

Put the value of x in equation (1) :

-2 -y +3z = -1

-y+3z = 1 ....(4)

Adding equation (3) and (4)

y-2z+(-y+3z)=1

z = 1

Now put z = 1 in equation (4)

-y+3=1

-y = -2

y = 2

Hence, the values of x,y and z are -1, 2 and 1 respectively.

6 0

3 years ago

10. What makes an equation a quadratic?

CaHeK987 [17]

Answer:

D. The equation has a variable multiplied by itself. A squared variable.

Step-by-step explanation:

A quadratic equation will always start with a term being squared. For example, $8x^{2}$ + 5x + 7 = 44. Another example would be $4x^{2}$ + 2x - 10 = 12. These are just random numbers, but the equation will always look the same! Hope this helps!

6 0

2 years ago

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Paisley's car used 11 gallons to travel 374 miles. How many gallons of gas would she need to travel 442 miles?

fenix001 [56]

Answer:

13 gallons

Step-by-step explanation:

7 0

3 years ago

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Neal estimated √50 by determining that the two perfect squares nearest 50 are 49 and 64. Select the two consecutive whole number

slavikrds [6]

Answer:

7 and 8

Step-by-step explanation:

5 0

2 years ago

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Find the equation of the line that cuts through (0,5) and (1,2)?

MArishka [77]

The equation of the line that cuts through (0,5) and (1,2) is y = -3x + 5

<h3>Solution:</h3>

Given that we have to find equation of the line that cuts through (0,5) and (1,2)

The equation of line passing through points $(x_1, y_1)$ and $(x_2, y_2)$ is given as:

$y - y_1 = m(x - x_1)$

Where "m" is the slope of line

Let us first find slope of line

The slope of line is given as:

$m=\frac{y_{2}-y_{1}}{x_{2}-x_{1}}$

$\text{ Substituting } (x_1, y_1) = (0, 5) \text{ and } (x_2, y_2) = (1, 2)$

$m=\frac{2-5}{1-0}=-3$

Thus the required equation of line is:

$y - 5 = -3(x - 0)\\\\y - 5 = -3x\\\\y = -3x + 5$

Thus the equation of line is found

3 0

3 years ago