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2 years ago

What is x in this equation- 3/2x-7=-11

Mathematics

1 answer:

Sunny_sXe [5.5K]2 years ago

3 0

3/2x-7=-11

We move all terms to the left:

3/2x-7-(-11)=0

Domain of the equation: 2x!=0

x!=0/2

x!=0

x∈R

We add all the numbers together, and all the variables

3/2x+4=0

We multiply all the terms by the denominator

4*2x+3=0

Wy multiply elements

8x+3=0

We move all terms containing x to the left, all other terms to the right

8x=-3

x=-3/8

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Find an equation of a line with the x- and y-intercepts below. Use exact fractions when necessary.

tamaranim1 [39]

Answer:

$y=\frac{5}{7}x-5$

Step-by-step explanation:

All lines in the plane are of the form

y = mx+b

The intersection with the Y-axis is obtained by replacing x with 0

The intersection with the X-axis is obtained by replacing y with 0

If we want that the Y-intercept = -5, then

-5 = m(0)+b

So b = -5

Our temporal equation is then

y = mx-5

If we want that the X-intercept = 7, then

0 = m(7)-5

7m = 5

m = 5/7

So our final equation is

$y=\frac{5}{7}x-5$

Attached is the graph of the line

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2 years ago

Find the slope and y intercept for the equation below is that correct for 1 and 2?

Ket [755]

1: slope = -2/3 , y intercept 4
2: slope = -3/5 , y intercept 2

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2 years ago

According to a medical institution, about 44% of people from a certain country have type A blood. Suppose 80 people show up at a

vesna_86 [32]

Do 80 divided by 44%

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2 years ago

What is the length of the hypotenuse of the triangle?

GarryVolchara [31]

15^2 + 8^2 = 225 + 64 = 289

square root 289 = 17

answer

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2 years ago

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Perpendicular bisector of segment with endpoints -2,0 and 6,12.

BlackZzzverrR [31]

Slope= y^2-y^1
————
x^2-x^1

slope= 12-0
——-
6+2

slope= 12
—-
8

slope= 3/2

perpendicular slope is the opposite reciprocal

perpendicular slope= -2/3

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2 years ago