3 years ago

Simplify the left side of the equation.

Mathematics

1 answer:

andreev551 [17]3 years ago

8 0

Answer:

Step-by-step explanation:

14 + 10 = 24.

The Question has given hints.

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25 pts, please help ASAP

andrew-mc [135]

Answer:

5t - 2t = 84 - 54

3t = 30

t = 30/3

t = 10.

3 0

2 years ago

What is the image of (9,3) after a dilation by a scale factor of 3 centered at the origin?

sergiy2304 [10]

Answer: (27, 9)

Multiply the original coordinates by the scale factor 3 to get this answer

9*3 = 27

3*3 = 9

This only works if the center of dilation is the origin.

The general rule is $(x,y) \to (kx, ky)$ where k is the scale factor.

7 0

2 years ago

Find the area of a plane figure bounded by lines

natulia [17]

Answer: 4.5

Step-by-step explanation:

First, find the points of intersection by solving the system.

y = x² + 2x + 4

y = x + 6

Solve by substitution:

x² + 2x + 4 = x + 6 ⇒ x² + x - 2 = 0 ⇒ (x + 2)(x - 1) = 0 ⇒ x = -2, x = 1

Now, integrate from x = -2 to x = 1

$\int\limits^1_2 {(x+6)-(x^{2}+2x+4) } \,$ the bottom of the integral is -2

= $\int\limits^1_2 {x+6-x^{2}-2x-4 } \,$

= $\int\limits^1_2 {-x^{2}-x+2 } \,$

= $\frac{-x^{3}}{3} - \frac{x^{2}}{2}+2x\int\limits^1_2 {} \,$

= $(\frac{-1^{3}}{3} - \frac{1^{2}}{2}+2(1)) - (\frac{-(-2)^{3}}{3} - \frac{(-2)^{2}}{2}+2(-2))$

= $(\frac{-1}{3} - \frac{1}{2} +2) - (\frac{8}{3} -\frac{4}{2} -4)$

= $\frac{-9}{3} + \frac{3}{2} +6$

= -3 + 1.5 + 6

= 4.5

3 0

3 years ago

Why is the inequality x≤6 equivalent to the inequality x−5≤6−5

Monica [59]

Two inequalities are equivalent if they have the same set of solutions.

x - 5 ≤ 6 - 5

x - 5 ≤ 1 |add 5 to both sides

x ≤ 6

8 0

3 years ago

Solution for 3^3x=9^x+4

Aliun [14]

3^3+9=77 if I'm wrong I'm sorry I just guess

3 0

2 years ago