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timama [110]
3 years ago
6

Need help with number 7

Mathematics
1 answer:
horrorfan [7]3 years ago
6 0
Cheap answer, multiply both sides by the LCD, in this case 2, that way, you get rid of the denominators.

\bf 5x-\cfrac{1}{2}(3x+8)=-4-\cfrac{7}{2}x\impliedby \times \stackrel{LCD}{2}
\\\\\\
\boxed{2}\cdot 5x-\boxed{2}\cdot \cfrac{1}{2}(3x+8)=-\boxed{2}\cdot 4-\boxed{2}\cdot \cfrac{7}{2}x
\\\\\\
10x-(3x+8)=-8-7x\implies 10x-3x-8=-8-7x
\\\\\\
7x-8=-8-7x\implies 14x=-8+8\implies 14x=0
\\\\\\
x=\cfrac{0}{14}\implies x=0
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I believe it is 20/32

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3 years ago
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what is the slope- intercept form of the equation of the line that passes through the points (-3,2) and(1,5)
erma4kov [3.2K]

Answer:

y = \frac{3}{4} x + \frac{17}{4}

Step-by-step explanation:

the equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y-intercept )

to calculate m use the gradient formula

m = ( y₂ - y₁ ) / ( x₂ - x₁ )

with (x₁, y₁ ) = (- 3, 2) and (x₂, y₂ ) = (1, 5)

m = \frac{5-2}{1+3} = \frac{3}{4}, hence

y = \frac{3}{4} x + c ← is the partial equation

to find c substitute either of the 2 points into the partial equation

using (1, 5 ), then

5 = \frac{3}{4} + c ⇒ c = 5 - \frac{3}{4} = \frac{17}{4}

y = \frac{3}{4} x + \frac{17}{4} ← in slope-intercept form


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3 years ago
Find the value of each variable
Darina [25.2K]
Check the picture below

solve for "x"

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3 years ago
Help please!!! Find the point in the first quadrant where the line y=4x intersects a circle of radius 4 centered at the origin.
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Answer:

Step-by-step explanation:

X^2+Y^2=16

X^2+4X^2=16

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X^2=16/5

X=+- SQRT(16/5)

X=+- 4SQRT(5)

DISREGARD THE -4SQRT(5) BECAUSE WE ARE DEALING WITH THE FIRST QUADRANT

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3 years ago
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igomit [66]

Answer:

Step-by-step explanation:

In a right triangle, the sides forming the right angle also determine the angle opposite one of the sides.

Tan(29) =26/x                Multiply both sides by x

x tan(29) = 26                 Divide by tan(29)

x = 26/tan(29)                Find tan(29)

x = 26/0.5543                Divide

x= 46.9

6 0
4 years ago
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