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3 years ago

Solve for x. 4+3/5(15+2x)=25

Mathematics

1 answer:

erik [133]3 years ago

6 0

If you would like to solve 4 + 3/5 * (15 + 2x) = 25 for x, you can do this using the following steps:

4 + 3/5 * (15 + 2x) = 25
3/5 * (15 + 2x) = 25 - 4
9 + 6/5 * x = 21
6/5 * x = 21 - 9
6/5 * x = 12 /*5/6
x = 12 * 5/6
x = 10

The correct result would be x = 10.

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makvit [3.9K]

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3 years ago

If the volume of the pyramid shown is 108 inches cubed, what is the area of its base?

Yuri [45]

Answer: 81/2 inches squared or 40.5 inches squared

Step-by-step explanation:

The volume of a pyramid = bh/3

so V = bh/3

V = 108 and h = 8, so plug these in

108 = 8b/3

b = 108 *3/8

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or if you want a fraction, 81/2 inches squared

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3 years ago

What term should be added to create a perfect square trinomial ??

12345 [234]

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7 0

3 years ago

7.find the equation of a circle with one of the diameters x+2y+8=0and passing through the intersection of a circle x²+y²+2=0 and

ozzi

Answer:

See below

Step-by-step explanation:

Find the intersection of circles

x² + y² + 2x = 0 and
x² + y² - 3y = 0

Subtract the equations to find:

2x = -3y ⇒ y = -2/3x

By substitution find the points:

(0, 0) and (-1.385, 0.923)

Find midpoint between these two points:

x = (0- 1.385)/2 = -0.6925 , y = (0 + 0.923)/2 = 0.4615

Find perpendicular bisector passing through this point:

y - 0.4615 = 3/2(x + 0.6925)
y = 1.5x + 0.4615 + 1.5(0.6925)
y = 1.5x + 1.50025

Find intersection of the lines, it is the center:

y = 1.5x + 1.50025
x + 2y + 8 = 0

Solving we get:

x = -2,75, y = -2.625

Find radius, the distance from center to point (0, 0) and get equation of circle:

(x + 2.75)² + (y + 2.625)² = (0 + 2.75)² + (0 + 2.625)²
x² + 5.5x + y² + 5.25y = 0
4x² + 22x + y² + 21y = 0
4x² + 4y² + 22x + 21y = 0

4 0

3 years ago

Read 2 more answers

G(x) = 3x – 2 f(x) = x + 5 Find (gºf)(-2)

Furkat [3]

Answer:

The answer to your question is (g°f)(x) = 7

Step-by-step explanation:

Data

g(x) = 3x - 2

f(x) = x + 5

(g°f)(-2)

Process

1.- Evaluate g(x) on f(x)

(g°f)(x) = 3(x + 5) - 2

-Expand

(g°f)(x) = 3x + 15 - 2

-Simplify

(g°f)(x) = 3x + 13

2.- Evaluate (g°f)(x) on -2

(g°f)(-2) = 3(-2) + 13

-Expand

(g°f)(-2) = -6 + 13

-Simplify

(g°f)(x) = 7

5 0

3 years ago