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3 years ago

What is the solution to y=2/5x-3 and x=-10

Mathematics

1 answer:

Vanyuwa [196]3 years ago

4 0

y is -2/53

Step-by-step explanation:

Step 1: Given equation is y = 2/5x-3 and x = -10. Substitute value of x to find the solution.

⇒ y = 2/(5 × -10 - 3) = 2/-53 = -2/53

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For the figures below, assume they are made of semicircles, quarter circles and squares. For each shape, find the area and perim

Marina86 [1]

Area of the shaded region $$=36(\pi -2)$ square cm

Perimeter of the shaded region $=6 (\pi + 2\sqrt 2)$ cm

Solution:

Radius of the quarter of circle = 12 cm

Area of the shaded region = Area of quarter of circle – Area of the triangle

$$=\frac{1}{4} \pi r^2 - \frac{1}{2} bh$

$$=\frac{1}{4} \pi \times 12^2 - \frac{1}{2} \times 12 \times 12$

$$=36\pi -72$

$$=36(\pi -2)$ square cm.

Area of the shaded region $$=36(\pi -2)$ square cm

Using Pythagoras theorem,

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

$AC^2=12^2+12^2$

$AC^2=288$

Taking square root on both sides of the equation, we get

$AC= 12\sqrt 2$ cm

Perimeter of the quadrant of a circle = $\frac{1}{4} \times 2\pi r$

$$=\frac{1}{4} \times 2 \times \pi \times 12$

$$=6 \pi$ cm

Perimeter of the shaded region = $6 \pi + 12\sqrt 2$ cm

$=6 (\pi + 2\sqrt 2)$ cm

Hence area of the shaded region $$=36(\pi -2)$ square cm

Perimeter of the shaded region $=6 (\pi + 2\sqrt 2)$ cm

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3 years ago

1) A TV is on sale for 20% off. If the sale price is $700, what is the original

barxatty [35]

Answer:

140

Step-by-step explanation:

20% of 700

so 20/100 * 700

20*7

140

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4 years ago

14(5-1/5×25)+2÷4×1 How Do I Evaluate This Expression ?

True [87]

Use the distributive property and multiply everything in the parentheses by 14.
Leaving you with.. (70 - 3.5 x 350) + 2 / 4 x 1.
Then reduce the parentheses.
Leaving you with.. ( -1155) + 2 / 4 x 1
Then divide 2 by four.
Leaving you with.. (-1155) + .5
Answer.. -1,154.5

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3 years ago

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Answer:

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Step-by-step explanation:

Put x = 6 in equations and resultant is 12.

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3 years ago

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