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Artemon [7]
2 years ago
13

Solve the system by substitution. 3x +2y=-21 x+y=-9

Mathematics
1 answer:
galben [10]2 years ago
5 0

Answer:

Step-by-step explanation:

3x +2y=-21  and x+y=-9

3x +2y=-21  and x = -9-y

=> 3(-9 - y) + 2y = -21

-27 -3y + 2y = -21

-y = 6

y= -6

=> x = -9+6= -3

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3 years ago
Solve ,<br> -5x + 20 &lt; 5
julsineya [31]

Let's solve your inequality step-by-step. <span><span><span>−<span>5x</span></span>+20</span><5</span>

<span />Step 1: Subtract 20 from both sides. <span><span><span><span>−<span>5x</span></span>+20</span>−20</span><<span>5−20</span></span><span><span>−<span>5x</span></span><<span>−15</span></span>

<span><span /></span>Step 2: Divide both sides by -5.<span><span><span>‌<span><span> −<span>5x</span></span><span>−5</span></span></span>‌</span><<span><span>‌<span><span>−15</span><span>−5</span></span></span>‌</span></span><span>x>3</span>

Answer: <span>x><span>3</span></span>

6 0
3 years ago
Read 2 more answers
A solid oblique pyramid has an equilateral triangle as a base with an edge length of 4 cm and an area of 12 cm2. What is the vol
Pavel [41]

Solution:

Let me define pyramid first.A pyramid is a Polyhedron , whose base  can be any polygon and it's faces are triangular which meet at a point called vertex.

Volume of Pyramid =  \frac{1}{2}\times{\text{Area of Base}\times{\text{Height}

Side of base which is an equilateral triangle= 4 cm

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Area of Equilateral triangle having side 4 cm=\frac{\sqrt3}{4}\times(Side)^2=\frac{\sqrt3}{4}\times(4)^2=4 \sqrt3 cm²

So, Area of three triangle which are faces of pyramid = (12 - 4 √3)cm²

Area of triangle = \frac{1}{2} \times (Base)\times(Height)

12 - 4 √3= \frac{1}{2} \times (4)\times(Height)

Height =\frac{12-4\sqrt3}{2}

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Volume of pyramid = Area of Equilateral triangle which is it's Base × Height of Pyramid

          =4√3 × (6-2√3) cm³

           =(24 √3 -24)

           = 24 (1.732-1)

          =24 × 0.732

          =17.568 cm³



8 0
3 years ago
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From a phone survey, a researcher determined that the true estimate for the proportion of voters who will reelect the mayor is l
patriot [66]
Here, p^ = (0.39 + 0.47)/2 = 0.43

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What is 3060 divided by 36?
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The answer is for your 3060 divided by 36 is equal to 85
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