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Zinaida [17]
3 years ago
6

Which of the following is a solution of y |x|-6. (-5,1) (-1,-5) (5,-1)

Mathematics
2 answers:
Artemon [7]3 years ago
7 0
Assuming you forgot the equal sign

y=|x|-6

test each
(x,y)
(-5,1)
1=|-5|-6
1=5-6
1=-1
fasle

(-1,-5)
-5=|-1|-6
-5=1-6
-5=-5
true

(5,-1)
-1=|5|-6
-1=5-6
-1=-1

the answer is
(-1,-5) and (5,-1)
Veronika [31]3 years ago
4 0
<h2>Answer with Step-by-step explanation:</h2>

We have to determine the solution of:

y= |x|-6

when x= -5, |x|=5

y= 5-6 = -1

Hence, (-5,1) is not the solution

when x= -1, |x|=1

y= 1-6 = -5

Hence, (-1,-5) is a solution

when x= 5, |x|=5

y= 5-6 = -1

Hence, (5, -1) is a solution

Correct options are:

(-1,-5) and (5,-1)

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If the length of a rectangle is 3 and the width is 2, the length of the diagonal is a 13 b 5 c √5 d √13
trasher [3.6K]

Answer:

The length of the rectangle is 12cm and the area of the rectangle is 60cm2.

Explanation:

By definition, the angles of a rectangle are right. Therefore, drawing a diagonal creates two congruent right triangles. The diagonal of the rectangle is the hypotenuse of the right triangle. The sides of the rectangle are the legs of the right triangle. We can use the Pythagorean Theorem to find the unknown side of the right triangle, which is also the unknown length of the rectangle.

Recall that the Pythagorean Theorem states that the sun of the squares of the legs of a right triangle is equal to the square of the hypotenuse. a2+b2=c2

52+b2=132

25+b2=169

25−25+b2=169−25

b2=144

√b2=√144

b=±12

Since the length of the side is a measured distance, the negative root is not a reasonable result. So the length of the rectangle is 12 cm.

The area of a rectangle is given by multiplying the width by the length.

A=(5cm)(12cm)

A=60cm2

3 0
3 years ago
2x - y2<br> Z-5<br> Evaluate when x = 2, y = 4<br> z=3
kolezko [41]

Answer:

Putting the value in x = 2 , y =4 in 2x - 2y we get,

2 × 2 - 4× 2= 4-8 = -4

Putting the value in z = 3 in z - 5 we get,

z - 5 = 3 - 5 = -2

5 0
3 years ago
Given the equation, C = P + (P)(T), what is the final cost of a cell phone priced at $20.00 with a tax rate of 5%?
sergij07 [2.7K]

Answer: Answer is $21

Step-by-step explanation:

Using the equation C = P + (P)(T)

where P= $20

T= 5%; 5/100 = 0.05

Substitute the figures in the equation,

$20 + $20 (0.05)

Apply BODMAS and open bracket first

$20 + $1

= $21

6 0
3 years ago
Solve for y: 2½y = ⅝ Answer in simplest form.
MrMuchimi
<h2>1/4 or 0.25</h2>

Step-by-step explanation:

2 \frac{1}{2} y =  \frac{5}{8}

Convert Mixed number to improper fraction.

2 \frac{1}{2}  =  \frac{5}{2}

Equate

\frac{5}{2} y =  \frac{5}{8}

Cross Multiply

5y \times 8 = 2 \times 5 \\ 40y = 10

Divide both sides of the equation by 40

\frac{40y}{40}  =  \frac{10}{40}

Simplify

y =  \frac{1}{4}

5 0
3 years ago
4x + x - 3-9 + 4x = 6 ??​
Nookie1986 [14]

Answer:

x=2

Step-by-step explanation:

-------------------------

Given:

4x+x-3-9+4x=6

---------->>>>

Combine like terms.

9x-12=6

---------->>>>

Add 12 to both sides.

9x=18

---------->>>>

Divide both sides by 9.

x=2

-------------------------

Hope this is helpful.

8 0
3 years ago
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