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3 years ago

Which ordered pair is a solution of the equation y-3=5(x-2)

Mathematics

1 answer:

notsponge [240]3 years ago

8 0

Answer:

Three of the pair order I found is (0, -7), (1, -2), (2, 3)

Choose values for x values and substitute in to find the corresponding y values.

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The coordinates of ∆ABC are A(-3, 2), B(5, 8) & C(11, 0). Which type of triangle is ∆ABC? Select All that apply.

stepan [7]

Given:

The coordinates of ∆ABC are A(-3, 2), B(5, 8) & C(11, 0).

To find:

The type of the given triangle.

Solution:

Distance formula:

$D=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}$

Using the distance formula, we get

$AB=\sqrt{(5-(-3))^2+(8-2)^2}$

$AB=\sqrt{(8)^2+(6)^2}$

$AB=\sqrt{64+36}$

$AB=\sqrt{100}$

$AB=10$

Similarly,

$BC=\sqrt{(11-5)^2+(0-8)^2}$

$BC=\sqrt{(6)^2+(8)^2}$

$BC=\sqrt{36+64}$

$BC=\sqrt{100}$

$BC=10$

And,

$AC=\sqrt{(11-(-3))^2+(0-2)^2}$

$AC=\sqrt{(14)^2+(-2)^2}$

$AC=\sqrt{196+4}$

$AC=\sqrt{200}$

$AC=10\sqrt{2}$

Two sides of the triangle are equal, i.e., $AB=BC$ . So, the triangle is an isosceles triangle.

Sum of square of two smaller side is

$AB^2+BC^2=10^2+10^2$

$AB^2+BC^2=100+100$

$AB^2+BC^2=200$

$AB^2+BC^2=AC^2$

Using the Pythagoras theorem, we can say that the given triangle is a right triangle.

Therefore, the correct options are B and F.

7 0

3 years ago

The shoe store’s clerks are paid on commission. If the clerk receives a 12% commission on total purchase amounts before tax is a

natka813 [3]

Answer:

7.11 and 9.48

Step-by-step explanation:

.12 is equal to 7.11

with out coupon

.12 is equal to 9.48

with the coupon

hope the answer helped:)

5 0

3 years ago

Read 2 more answers

For what values of x is the inequality 15>_5x true?

ruslelena [56]

Answer:

-3 < x

Step-by-step explanation:

15 > -5x

Divide each side by -5, remembering to flip the inequality since we are dividing by a negative

15/-5 < -5x/-5

-3 < x

7 0

3 years ago

Write 77/20 as a terminating decimal

ahrayia [7]

77/20 = 3.85 <== terminating decimal

8 0

3 years ago

Explain how to do nx$3.25=$325.00

cupoosta [38]

N*3.25=325.00
N=325.00/3.25
N=100

4 0

3 years ago