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GaryK [48]
3 years ago
13

Solve the system by substitution. *

Mathematics
1 answer:
baherus [9]3 years ago
6 0

Answer:

(-3,-1)

Step-by-step explanation:

Given equations are :

3x - 2y=-7\ ....(1)\\\\y=-7x - 22...(2)

Put the value of y from equation (2) to equation (1), so,

3x - 2(-7x - 22)=-7\\\\3x+14x+44=-7        

Taking variables on one side and constant on another side.    

17x=-7-44\\\\17x=-51\\\\x=-3

Put x = -3 in equation (2) i.e.

y=-7(-3) - 22\\\\y=-1

So, the value of x and y are (-3) and (-1) respectively.

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Calculate x Give your answer correct to 1 d.p. Х 35° 15 cm<br> it is a trigonometry question.​
OlgaM077 [116]

Here we are finding x, given the angle and adjacent side. To find x we will use the function cos as cos = a/h.

So let's do cos(35°) = 15cm / x

cos(35°) = 0.8 (1 dp)

x = 15 cm / cos(35°)

x = 18.3 cm (1 dp)

6 0
2 years ago
Match the meaning of each of the following expressions help
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4 0
3 years ago
Read 2 more answers
The length of a rectangle is twice the width. the perimeter is 32 cm more than the width. find the dimensions of the rectangle.
SCORPION-xisa [38]
Width: x
Length: 2x
Perimeter=2x+2x+x+x=6x
32 cm more than width means x+32
6x=x+32
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x=6.4
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7 0
3 years ago
A circle of red roses is planted in Lowell's central park. The circle has a radius of 1 meter.
Damm [24]

Answer:

The circle's circumference is 6.28 m.

Step-by-step explanation:

We have,

The circle has a radius of 1 meter.

It is required to find the circumference of the circle. The formula of the circumference of circle is given by :

C=2\pi r

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C=2\times 3.14\times 1\\\\C=6.28\ m

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4 0
3 years ago
Challenge A movie theater sends out a coupon for 15% off the price of a ticket. Write an equation
marshall27 [118]

Answer:

The equation is y= 0,65 x

If x is the price of the ticket without the coupon, and the theater offers a discount if you have a coupon, then having a coupon means that the price a person ultimately  pays (y) is  the original price (x) minus a 35% of this price: y= x -0.35 x . By association: y= (1-0.35) x and then y= 0.65 x.

The line should be in the first quadrant because the first quadrant allows you to represent a situation in which the dependent variable (y) and the independent variable (x) are both positive. This is the case in this exercise, because both prices, the one without discount (x) and the one with discount (y) are necessary positive (you can not pay a negative price!).

Step-by-step explanation:

The price without discount (or without the coupon) is x.

The price with discount (or with coupon) is y.

y and x are both related: y is a percentage of x, specifically, y is 35% smaller than x. This means that y =0.65 x.

4 0
3 years ago
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