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frutty [35]
3 years ago
11

What is the reason for each step in the solution of the equation?

Mathematics
1 answer:
lozanna [386]3 years ago
3 0

Answer:

Distributive property (-5 is being multiplied to x and - 6)

Addition property of equality (5x is being added in both side of the equation)

Division property of equality (15 is being devided in both side of the equation)

Brainliest please~

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Triangle ABC has vertices at A(–2, 3), B(–3, –6), and C(2, –1). Is triangle ABC a right triangle? If so, which angle is the righ
levacccp [35]

Answer:

Yes, the right angle is angle C.

Step-by-step explanation:

The given triangle has vertices at A(–2, 3), B(–3, –6), and C(2, –1).

Recall the slope formula;

m=\frac{y_2-y_1}{x_2-x_1}

The slope of the line going through AC is

m_{AC}=\frac{-1-3}{2--2}=-1

The slope of the line going through BC s

m_{AC}=\frac{-1--6}{2--3}=1

The product of the slopes of AC and BC is -1\times1=-1

This means line AC is perpendicular to BC at C.

Hence the triangle ABC is right angled at C.

6 0
3 years ago
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A rectangle prism has a height of 4 millimeters and width 5 millimeters. The total surface area is 166 square millimeters, what
Zolol [24]
The answer is 7, 2(7x5) + 2(4x7) + 2(5x4) = 166
7 0
4 years ago
at franks work he can produce 4 widgets every hour which of the following expresses how many widgets frank can make during a who
Arlecino [84]

Wouldn’t frank be able to make 32 widgets in 8 hours
6 0
3 years ago
Find the solution of this system of equations. Separate the x- and y-values with a comma.
vivado [14]
X = -6 + y...so we sub in -6 + y for x in the other equation

x - 3y = 28
-6 + y - 3y = 28
-2y - 6 = 28
-2y = 28 + 6
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y = -34/2
y = - 17

x = -6 + y
x = -6 - 17
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solution is (-23,-17)
4 0
3 years ago
Norma had 3/8 left over from her party .She ate 3/4 of the leftover cake at lunch how much of the cake did Norma have at lunch
sergejj [24]

Answer:

Norma ate \frac{9}{32} of the leftover cake at her lunch.

Step-by-step explanation:

Norma had a leftover cake from her party = \frac{3}{8}

She ate \frac{3}{4}th of the leftover cake at the lunch.

Therefore, amount of cake she had at lunch = \frac{3}{8}\times \frac{3}{4}

                                                                          = \frac{9}{32} of the leftover cake

Norma ate \frac{9}{32} of the leftover cake at her lunch.

4 0
3 years ago
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