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3 years ago

Which quadratic equation is equivalent to (x+2)^2 +5(x+3) - 6= 0

Mathematics

2 answers:

Yuliya22 [10]3 years ago

3 0

(x+2)²+5(x+3)-6=0
(x²+4x+4)+(5x+15)-6=0
x²+9x+13=0

Answer: x²+9x+13=0

e-lub [12.9K]3 years ago

3 0

Test
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1-89. On graph paper, draw the quadrilateral with vertices A(–1, 3), B(4, 3), C(–1, –2), and D(4, –2).

-Dominant- [34]

Step-by-step explanation:

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5 0

3 years ago

What is the answer to this problem ?4a4b6(•2a4b5c7)

garik1379 [7]

Answer:

4 * a = 4

a = 1

b * 6

4 * 6

24b

2 a * 4 = 8

b * 5 = c *7

7 * 5 = 35

b = 17.5

C = 17.5

17.5+17.5 = 17.5 * 2 +4a+ b5

So your answer is 54a

Step-by-step explanation:

6 0

3 years ago

On comparing the ratios of the coefficients, find out whether the pair of equations x – 2y =0 and 3x + 4y -20 =0 is consistent o

lesya692 [45]

Answer:

The pair of equations is consistent

Step-by-step explanation:

A consistent system of equations has at least one solution

The consistent independent system has exactly 1 solution

The consistent dependent system has infinitely many solutions

An inconsistent system has no solution

In the system of equations ax + by = c and dx + ey = f, if

a = d, b = e, and c = f, then the system is consistent dependent and has infinitely many solutions
a = d, b = e, and c ≠ f, then the system is inconsistent and has no solution
a ≠ d, and/or b ≠ e, and/or c ≠ f, and $\frac{a}{d}$ ≠ $\frac{b}{e}$ , then the system is consistent independent and has exactly one solution

∵ x - 2y = 0

∴ The coefficient of x ⇒ a = 1

∴ The coefficient of y ⇒ b = -2

∴ The numerical term ⇒ c = 0

∵ 3x + 4y - 20 = 0

→ Add 20 to both sides

∴ 3x + 4y - 20 + 20 = 0 + 20

∴ 3x + 4y = 20

∵ The coefficient of x ⇒ d = 3

∵ The coefficient of y ⇒ e = 4

∵ The numerical term ⇒ f = 20

∵ a ≠ d

∵ b ≠ e

∵ c ≠ f

∵ $\frac{a}{d}$ = $\frac{1}{3}$

∵ $\frac{b}{e}$ = $\frac{-2}{4}$ = $\frac{-1}{2}$

∴ $\frac{a}{d}$ ≠ $\frac{b}{e}$

→ By using rule 3 above

∴ The pair of equations is consistent

4 0

3 years ago

What is the midpoint between (1,5) and (7,-3)

Leokris [45]

Answer:

(4,1)

Step-by-step explanation:

$Midpoint=(\frac{x_{1}+x_{2}}{2},\frac{y_{1}+y_{2}}{2})\\$

$=(\frac{1+7}{2},\frac{5-3}{2})\\\\=(\frac{8}{2},\frac{2}{2})\\\\=(4,1)$

6 0

3 years ago

Read 2 more answers

Find the measure of angle A<br> 60<br> 300<br> 90<br> 120

labwork [276]

Answer:

120°

Step-by-step explanation:

$m\angle A = \frac{1}{2} \{(360 - 60) \degree - 60 \degree \} \\ \\ m\angle A = \frac{1}{2} \{300 \degree - 60 \degree \} \\ \\ m\angle A = \frac{1}{2} \{240\degree\} \\ \\ m\angle A = 120 \degree$

5 0

3 years ago