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Lilit [14]
3 years ago
13

G(x)=6x+30 and g(x)=72

Mathematics
1 answer:
san4es73 [151]3 years ago
8 0

Answer:

x=7

Step-by-step explanation:

make the equations equal each other

72=6x+30

subtract 30

42=6x

divide by 6

42/6=7

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A triangle with two vertices located at (5, −8) and (5, 4) has an area of 48 square units. Determine one possible location of th
RoseWind [281]

Answer:x=1.5

Step-by-step explanation:

Given

Two points co-ordinates are given

A=(5,-8)

B=(5,4)

let other point be C =(x,y)

Area of triangle is given by

A=\begin{vmatrix}5& -8&1\\5& 4&1\\x& y&1\end{vmatrix}

A=5\left ( 4-y\right )+8\left ( 5-x\right )+1\left ( 5y-4x\right )

A=20-5y+40-8x+5y-4x

A=60-8x

and A=48 square unit

48=60-8x

x=1.5

As area is independent of y therefore at x=1.5 any value of y will give area of 48 square unit

7 0
3 years ago
The solution to a system of two linear equations is (4, -3). One equation has a slope of 4. The slope of the other line is the n
astraxan [27]

Answer:

Hello,

First equation is false

Second equation is true

Step-by-step explanation:

1)

(4,-3) is a point of the line y=4x-19  since

-3=?4*4-19

-3=-3

2)

(4,-3) is not a point of the line y=1/4x-2 since

-3=? 1/4*4-2

-3=? 1-2

-3≠-1

I have written that because it is difficult for me to understand

"the negative reciprocal of the slope of the first"

the negative reciprocal of 4 should be -1/4.

Equation y=1/4x-2 is false.

5 0
3 years ago
One third of a number t is equal to 7
Novosadov [1.4K]
7 / 1/3
therefore
21 x 1/3= 7
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3 years ago
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Can anyone help me solve a trigonomic identity problem and also help me how to do it step by step?
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\qquad csc(\theta)=\cfrac{1}{sin(\theta)}
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\bf \cfrac{cos^2(\theta )-1[sin(\theta )-sin^2(\theta )]}{sin(\theta )[1-sin(\theta )]}\implies \cfrac{cos^2(\theta )-sin(\theta )+sin^2(\theta )}{sin(\theta )[1-sin(\theta )]}
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\cfrac{cos^2(\theta )+sin^2(\theta )-sin(\theta )}{sin(\theta )[1-sin(\theta )]}\implies \cfrac{\underline{1-sin(\theta )}}{sin(\theta )\underline{[1-sin(\theta )]}}
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7 0
3 years ago
Karen wants to rent a car for 5 days, and shes interested in the loss damage waiver but not the collision damage waiver. If the
DanielleElmas [232]
Add $35 + $55 and you get 90, multiply 90 by 5 and you get $450. so the answer is A. hope this helped.

8 0
3 years ago
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