All categories

3 years ago

What number is the substitution of 4(3x+9) and 5x+8

Mathematics

1 answer:

skelet666 [1.2K]3 years ago

6 0

Answer:

-4

Step-by-step explanation:

If the question is for which x the equations 4(3x+9) and 5x+8 produce the same answer, the answer is x=-4

4(3x+9) = 5x+8

12x + 36 - 5x - 8 =0

7x = -28

x = -4

You might be interested in

Alex is designing a triangular shaped park the park includes tennis courts ball fields and playground equipment located at the v

kondaur [170]

Answer:

centroid

Step-by-step explanation:

4 0

3 years ago

Please answer now correct answer fast

Vikki [24]

Answer:

$Area = 112.1 m^2$

Step-by-step Explanation:

Given:

∆WXY

m < X = 130°

WY = x = 31 mm

m < Y = 26°

Required:

Area of ∆WXY

Solution:

Find the length of XY using Law of Sines

$\frac{w}{sin(W)} = \frac{x}{sin(X)}$

X = 130°

x = WY = 31 mm

W = 180 - (130 + 26) = 24°

w = XY = ?

$\frac{w}{sin(24)} = \frac{31}{sin(130)}$

Multiply both sides by sin(24) to solve for x

$\frac{w}{sin(24)}*sin(24) = \frac{31}{sin(130)}*sin(24)$

$w = \frac{31*sin(24)}{sin(130)}$

$w = 16.5 mm$ (approximated)

$XY = w = 16.5 mm$

Find the area of ∆WXY

$area = \frac{1}{2}*w*x*sin(Y)$

$= \frac{1}{2}*16.5*31*sin(26)$

$= \frac{16.5*31*sin(26)}{2}$

$Area = 112.1 m^2$ (to nearest tenth).

8 0

3 years ago

graph the solution to the following system of inequalities y<-2x+7, y greater than or equal to 2x - 3

Alex777 [14]

Answer:

See attached diagram

Step-by-step explanation:

Graph the solution of the inequality $y$ First, draw the dotted line $y=-2x+7$ (dotted because the sign of the inequality is <). Then determine wich part of the coordinate plane should be shaded. Since the origin's coordinates satisfy the inequality, then this point should belong to the region (red part on the diagram).

Graph the solution of the inequality $y\ge 2x-3.$ First, draw the solid line $y=2x-3$ (solid because the sign of the inequality is ≥). Then determine wich part of the coordinate plane should be shaded. Since the origin's coordinates satisfy the inequality, then this point should belong to the region (blue part on the diagram).