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Aneli [31]
3 years ago
11

Multiply 2x(x2 + 5). 2x3 + 10x2 2x3 + 10x 2x2 + 10x 2x3 + 5x

Mathematics
1 answer:
Alex_Xolod [135]3 years ago
6 0

<em>Hope</em><em> </em><em>this</em><em> </em><em>will</em><em> </em><em>help</em><em> </em><em>u</em><em>.</em><em>.</em><em>.</em><em>.</em>

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What are the solutions to the following system of equations?<br><br> x − y = 6<br> y = x2 −6
anastassius [24]

The solutions to the given system of equations is (0, -6) and (1, -5)  

<h3>Simultaneous equations</h3>

From the question, we are to determine the solutions to the given system of equations

The equations are

x − y = 6 --------- (1)

y = x² −6 ---------- (2)

From equation (1)

x - y = 6

∴ x = 6 + y ------- (3)

Substitute into equation (2)

y = x² −6

y = (6+y)² −6

y = (6+y)(6+y) -6

y = 36 + 6y + 6y +y² -6

y = 36 + 12y + y² - 6

Simplifying

y² + 12y - y + 30 = 0

y² + 11y + 30 = 0

Solve quadratically

y² + 11y + 30 = 0

y² + 6y + 5y + 30 = 0

y(y +6) +5 (y +6) = 0

(y + 5)(y + 6) = 0

y + 5 = 0 OR y + 6 = 0

y = -5 OR y = -6

Substitute the values of y into equation (3)

x = 6 + y

When y = -5

x = 6 + (-5)

x = 6 -5

x = 1

When y = -6

x = 6 + (-6)

x = 6 -6

x = 0

∴ When x = 0, y = -6 and when x = 1, y = -5

Hence, the solutions to the given system of equations is (0, -6) and (1, -5)  

Learn more on Solving simultaneous equations here: brainly.com/question/16863577

#SPJ!

7 0
2 years ago
Timothy draws three isosceles triangles. In each figure, he measures a pair of angles.
Nookie1986 [14]

Answer: I believe that the answer would be "In an isosceles triangle, two of the angles are congruent."

Step-by-step explanation:

8 0
1 year ago
What is the answer to <br> -6x+4(-2+8y)- 2y+ 4
soldi70 [24.7K]

Answer:

− 6 + 3 0 − 4

4 0
3 years ago
Read 2 more answers
A runner covers 55 yards in 5.5 seconds. Find the runner's average speed in miles per hour.
marusya05 [52]
V=\frac{s}{t},where\ V-speed,\ s-distence\ ,t-time\\\\V=\frac{55y}{5,5s}=10\frac{y}{s}=10\frac{0,000568m}{\frac{1}{3600}h}=\frac{0,00568m}{\frac{1}{3600}h}=0,00568\cdot3600\frac{m}{h}=\\\\=20,448\frac{m}{h}
7 0
3 years ago
In each figure below, find m&lt;1 and m&lt;2 if a is parallel to b. You don't have to show work.
Gekata [30.6K]

Answer:

m <5 = 71 degrees.

m <8 = 109 degrees.

5 0
3 years ago
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