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2 years ago

Geometry: Solve for X

Mathematics

1 answer:

8090 [49]2 years ago

8 0

Answer:

x=8

Step-by-step explanation:

x+6=2x-2

8=x

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James is in charge of the decorations. He has a total budget of $50 to spend for all of the decorations. James spends $20 on one

Gre4nikov [31]

B. Is the correct answer. For part B, he can buy 15 balloons since X=15. Plug this back into the equation to check: 2(15)+20=50.
2(15)=30+20=50.

3 0

2 years ago

Write the slip-intercept form of the equation of the line described

kompoz [17]

Answer:

1) y=⅚x -2⅓

2) y=8/3x -5

Step-by-step explanation:

<u>Point-slope form:</u>

y=mx+c, where m is the gradient and c is the y-intercept.

Parallel lines have the same gradient.

Gradient of given line= $\frac{5}{6}$

Thus, m=⅚

Susbt. m=⅚ into the equation,

y= ⅚x +c

Since the line passes through the point (4, 1), (4, 1) must satisfy the equation. Thus, substitute (4, 1) into the equation to find c.

When x=4, y=1,

1= ⅚(4) +c

$1 = \frac{20}{6} + c \\ c = 1 - \frac{20}{6} \\ c = 1 - 3 \frac{1}{3} \\ c = - 2 \frac{1}{3}$

Thus the equation of the line is $y = \frac{5}{6} x - 2 \frac{1}{3}$ .

The gradients of perpendicular lines= -1.

Gradient of given line= -⅜

-⅜(gradient of line)= -1

gradient of line

= -1 ÷ (-⅜)

= -1 ×(-8/3)

= $\frac{8}{3}$

$y = \frac{8}{3} x + c$

When x=3, y=3,

$3 = \frac{8}{3} (3) + c \\ 3 = 8 + c \\ c = 3 - 8 \\ c = - 5$

Thus the equation of the line is $y = \frac{8}{3} x - 5$ .

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3 years ago

3.6.PS-8 If the simple interest on $5,000 for 9 years is $2,700, then what is the interest rate? The rate is %. .

Arada [10]

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2 years ago

Brian was scuba diving at the Great Barrier Reef in Australia. After he jumped in the water, he descended 18 feet. Then he rose

Levart [38]

amswer:

-13 feet

step by step:

-18+5=-13

8 0

2 years ago

In which quadrant the values of x and y both negative.

HACTEHA [7]

Answer:

The Answer should be Quadrant III

Step-by-step explanation:

Hope this helped!

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2 years ago