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kati45 [8]
3 years ago
12

Define the opposite and the absolute value of -15.

Mathematics
1 answer:
jeyben [28]3 years ago
5 0

Answer:

|-15| is 15

Step-by-step explanation:

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HELP ME PLEASE! 30 points
exis [7]

Answer:

C=14

Step-by-step explanation:

To find the minimum value, graph each of the inequalities. After graphing each inequality, test a point and shade the region that satisfies the inequality. Once all inequalities have been shaded, find the region where they all overlap. The region will be bounded by intersection points. Test each of these points into C=x+3y. The least value for C is the minimum.

(14,0)                  (0,17.5)                   (3.08,3.64)

C=14+3(0)           C=0+3(17.5)           C=3.08 + 3(3.64)

C=14                   C=52.5                   C=14

7 0
3 years ago
Read 2 more answers
What is the area of this triangle?<br> Enter your answer in the box.<br> units
4vir4ik [10]
<h2><u>Answer:</u></h2>

S=\frac{1}{2}\times4\times4=8\ {\rm units}^2

\left\{co\ calculate\right.\ \ \ \ \ \ \ \ \ \ \left\{S=\frac{1}{2}\right.\left.\ ah\right\}

<em>I hope this helps you</em>

<em>:)</em>

5 0
2 years ago
After eliminating radicals, what quadratic equation can you solve to find the potential solutions of sqrt 2x+3 - sqrt x+1 = 1
aniked [119]

Answer:

Step-by-step explanation:

We have given:

√2x+3 - √x+1  = 1

First of all isolate the square root of the left hand side:

√2x+3 = √x+1 +1

Now take square on both sides.

(√2x+3)^2 = (√x+1 +1)^2

Open the R.H.S by squaring formula.

∴(a+b)^2 = a^2+2ab+b^2

2x+3 = (√x+1)^2 + 2(√x+1)(1)+(1)^2

2x+3 = x+1 +2√x+1 +1

2x+3 = x+2 +2√x+1

Combine the like terms:

2x-x+3-2 = 2√x+1

x+1 = 2√x+1

Take square on both sides

(x+1)^2 = (2√x+1)^2

x²+2x+1 = 4x+4

x²+2x-4x+1-4 = 0

x²-2x-3 = 0

Now solve the quadratic equation:

a = 1 , b= -2 , c = -3

x = -b+/-√b²-4ac/2a

x = -(-2)+/-√(-2)² - 4(1)(-3) / 2(1)

x = 2 +/- √4+12 / 2

x = 2+/- √16/2

x = 2+/- 4 /2

x = 2+4/2     , x = 2-4/2

x = 6/2      , x = -2/2

x = 3      , x = -1

The solutions we get is (3, -1).

3 0
3 years ago
Read 2 more answers
The length of a swimming poollane
Hunter-Best [27]

Answer:

x²+5x - 150 = 0

Step-by-step explanation:

Let the length be y and width be x

If the  length of a swimming pool is 10 more than 2 times the width, then;

y = 2x+10 ...1

Since the Area is 300m²

A = xy

300 = xy .... 2

Substitute 1 into 2

300 = x(2x+10)

300 = 2x²+10x

Rearrange

2x²+10x - 300 = 0

Divide through by 2

x²+5x - 150 = 0

This gives the required quadratic expression

8 0
3 years ago
Remove the brackets and simplify
Komok [63]

Answer:

5x - 7 {x}^{2}  -  {(2x)}^{2}  \\  = ( {2}^{2}  {x}^{2} ) - 7 {x}^{2}  + 5x \\  = 4 {x}^{2}  - 7 {x}^{2}  + 5x \\  = x(4x - 7x + 5) \\  = x( 5 - 3x) \\  = { \underline{ \underline{ \:  \:  5x - 3 {x}^{2}  \:  \: }}}

7 0
2 years ago
Read 2 more answers
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