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antoniya [11.8K]
3 years ago
5

Find all numbers whose absolute value is 4

Mathematics
2 answers:
Elan Coil [88]3 years ago
8 0
The answer would be -4 and 4
pav-90 [236]3 years ago
6 0

Answer:

4 and -4

Step-by-step explanation:

|x| = 4

The positive value of the number is 4

|4| =4

and

|-4| =4

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The Hudson high school wrestling team just won the state tournament and have been awarded a triangular pennant to hang on the wa
Eduardwww [97]

Answer:

3 feet.

Step-by-step explanation:

  • Base of the  triangular pennant = 1.5 feet long.
  • Area of the triangular pennant = 2.25 Square feet.

Now, we know that:

Area of a Triangle=\frac{1}{2}$ X Base X Height

Substituting the given values, we have:

2.25=\dfrac{1}{2}$ X 1.5 X Height\\\\2.25=$\dfrac{1.5}{2}$  X Height\\\\Cross multiply\\\\2.25*2=1.5  X Height\\\\Divide both sides by 1.5 to solve for the height\\\\\dfrac{2.25*2}{1.5}=\dfrac{1.5  X Height}{1.5}\\\\$Height of the Triangle =3 feet

Therefore, the height of the pennant is 3 feet.

5 0
3 years ago
What is the correct first step to solve this system of equations by elimination?
storchak [24]

\bold{\huge{\pink{\underline{ Solution }}}}

\bold{\underline{ Given }}

  • <u>We </u><u>have </u><u>given </u><u>two </u><u>linear </u><u>equations </u><u>that</u><u> </u><u>is </u><u>2x </u><u>-</u><u> </u><u>3y </u><u>=</u><u> </u><u>-</u><u>6</u><u> </u><u>and </u><u>x</u><u> </u><u>+</u><u> </u><u>3y </u><u>=</u><u> </u><u>1</u><u>2</u><u> </u><u>.</u>

\bold{\underline{ To \: Find }}

  • <u>We </u><u>have </u><u>to </u><u>find </u><u>the </u><u>value </u><u>of </u><u>x </u><u>and </u><u>y </u><u>by </u><u>elimination </u><u>method</u><u>. </u>

\bold{\underline{ Let's \: Begin }}

\sf{ 2x - 3y = -6 ...eq(1)}

\sf{ x +  3y = 12 ...eq(2)}

<u>Multiply </u><u>eq(</u><u> </u><u>2</u><u> </u><u>)</u><u> </u><u>by </u><u>2</u><u> </u><u>:</u><u>-</u>

\sf{ 2( x + 3y = 12 )}

\sf{ 2x + 6y = 24 }

<u>Subtract </u><u>eq(</u><u>1</u><u>)</u><u> </u><u>from </u><u>eq(</u><u>2</u><u>)</u><u> </u><u>:</u><u>-</u>

\sf{ 2x + 6y -( 2x - 3y) = 24 -(-6)}

\sf{ 2x + 6y - 2x + 3y = 24 + 6 }

\sf{   9y = 30 }

\sf{   y = 30/9}

\sf{\red{ y = 10/3}}

<u>Now</u><u>, </u><u> </u><u>Subsitute</u><u> </u><u>the </u><u>value </u><u>of </u><u>y </u><u>in </u><u>eq(</u><u> </u><u>1</u><u> </u><u>)</u><u>:</u><u>-</u>

\sf{ 2x - 3(10/3) = -6 }

\sf{ 2x - 10 = -6 }

\sf{ 2x  = -6 + 10}

\sf{ x  = 4/2}

\sf{\red{ x  = 2}}

Hence, The value of x and y is 2 and 10/3

6 0
2 years ago
Write an equation of the line that passes through a pair of points: -5, -2 3, -1
irinina [24]

Answer: option B is correct.

Step-by-step explanation:

The equation of a straight line can be represented in the slope-intercept form, y = mx + c

Where c = intercept

Slope, m =change in value of y on the vertical axis / change in value of x on the horizontal axis represent

change in the value of y = y2 - y1

Change in value of x = x2 -x1

y2 = final value of y

y 1 = initial value of y

x2 = final value of x

x1 = initial value of x

The line passes through (- 5, - 2) and (3, - 1),

y2 = - 1

y1 = - 2

x2 = 3

x1 = - 5

Slope,m = (- 1 - - 2)/(3 - - 5) = 1/8

To determine the intercept, we would substitute x = 3, y = - 1 and

m = 1/8 into y = mx + c. It becomes

- 1 = 1/8 × 3 + c

- 1 = 3/8 + c

c = - 1 - 3/8 = - 11/8

The equation becomes

y = x/8 - 11/8

8 0
3 years ago
Read 2 more answers
If x=-3, then the solution of the equation 2x+6 is ?
Vlada [557]

Hello!

if x = -3, just substitute it for x (replace the x with -3)

2(-3) + 6 = 0

2 * -3 = -6

-6 + 6 = 0

I hope this helps, and have a nice day!

6 0
3 years ago
if triangle ABC is an isosceles triangle and triangle DBE is an equilateral triangle, find each missing measure
BabaBlast [244]

Picture?? This question is incomplete just get a picture then I can answer it



6 0
3 years ago
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