Solve the following absolute value equation. |-4x-2| = 10

9514 1404 393

Answer:

  (x, y) = (-1, 5/2)

Step-by-step explanation:

The only variable with a coefficient that has a magnitude of 1 is x in the first equation. Using that equation, we can write an expression for x:

  x = 2y -6

This can be substituted for x in the second equation.

  (7/2)(2y -6) +7y = 14

  7y -21 +7y = 14 . . . . . . eliminate parentheses

  14y = 35 . . . . . . . . . . . add 21

  y = 35/14 = 5/2 . . . . . divide by the coefficient of y

  x = 2(5/2) -6 = -1

The solution is (x, y) = (-1, 5/2).

Answer:

42 sq. Units

Step-by-step explanation:

I took the test

The area of the triangle shown below is B. 42 sq. units, the correct option is B.

The area of the triangle is defined as the product of half the base and the height of the triangle.

We are given the parameters are;

Length of its base = b units

Its height = h units long,

Then we get:

Area of a triangle = 1/2 b h

We are given that;

Base= 14, Height= 6

Now,

The area of a right triangle is given by:

Area = (1/2) * base * height

Substituting the values;

Area = (1/2) * 14 * 6

= 42 square units

Therefore, the area of triangle will be 42 sq. units.

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the anwser is:

137 meters per minute

Answer:

This graph is NOT a function.

Step-by-step explanation:

A graph is a function only if there is exactly one y-value for every x-value. In this case, there are many x-values that have two y-values, making this graph not a function.

Let me know if this helps!

Answer:

78.1 cm^2

Step-by-step explanation:

Pi r^2= area of circle

3.14 x 6^2= 113.1

b x h = area of rectangle

5 x7 =35

113.1 - 35= 78.1

Answer:

5p + 11

Step-by-step explanation:

Combine like terms

6p - 4p = 2p

2p + 3p = 5p

5p + 11

Answer:

An article explaining your ideas on how to best rescue endangered loggerhead turtle eggs

Step-by-step explanation:

In the problem and solution organization pattern, it is all about the ability to determine the problems affecting the organisation as well as proffer solutions on how to solve those problems. This would then lead to minimizing cost and maximizing profits. The example above which is about ideas on how to rescue endangered loggerhead turtle eggs is following same pattern.

Answer:26

Step-by-step explanation:

a squared+b squared= the hypotenuse squared

Input

10 squared+24 squared=the hypotenuse squared

100+576=676 squared

Now we need to find the square route of 676 because this is the hypotenuse squared, and we need to find the hypotenuse. And the square route of 676 is 26.

Answer:

b.20

Step-by-step explanation:

brainliest please

Answer:

The answer is 20

Step-by-step explanation:

Answer:

12

Step-by-step explanation:

250-73= 117//117/12=11.8, but you cannot play a fraction of a game which rounded is 12

Answer:

12

Step-by-step explanation:

Answer:

x=4 y=8

Step-by-step explanation:

Answer:

Not sure by the way the question is asked but I think the answer is x=(y-1)/4

Step-by-step explanation:

Subtract one from both sides: y-1=4x

Divide the four from both sides: (y-1)/4=x

Answer:

[tex] \frac{y - 1}{4} = x[/tex]

Answer:

c = d/a - b

Step-by-step explanation:

a (c + b) = d

c + b = d/a

c = d/a - b

hope this helps

Answer:

x=16

Step-by-step explanation:

Answer:

hi

Step-by-step explanation:

Step-by-step explanation:

a)20.52 approximately

b) 36.9 approximately

c)5.49 approximately 5.5

d)14.9 approximately 15

Answer:

[tex]30 = 10 + 4x[/tex]

Answer:

Janice rented the bike for 5 hours.

Step-by-step explanation:

The equation used to model this problem is 10 + 4x = 30. Subtract 10 from both sides. You are now left with 4x = 20. Divide both sides by 4. Now you have x = 5. This answer results in the conclusion that Janice spent 5 hours with the bike.

X + 1 by x = 99 find the value of 100x by 2x square + 102x + 2

1

SEE ANSWER

give me brainilest

Answer:

[tex]a) \\(5x + 7) + (2x + 3) = 7x + 10 \\ b) \\ (5 x + 7) - (2x + 3) \\ = 5x + 7 - 2x - 3 \\ = 3x + 4[/tex]

Answer:

[tex]since \: the \: three \: sides \: are \: not\: equal : \\ its \: a \to \:\underline{\boxed{scalene}} \\ line \: \overline{AB} = 2 \\ line \: \overline{AC}= 6 \\ line \: \overline{BC} = 2 \sqrt{10} [/tex]

Step-by-step explanation:

[tex]to \: prove \: this \to \: we \: will \: need \: to \: find \\ \: the \: lenghts \: of \: the \: sides \: of \: \\ this \: triangle \to \\ using \: the \: shortest \: distance \: between \: \\ two \: points \to \: d \: = \sqrt{( {x_2 -x_1) }^{2} + (y_2 - y_1)^{2} } \\ \\ \underline{ \boxed{\overline{AB}}} \\ line \: \overline{AB} \: has \: points \to: ( - 3, - 3) \: and \:( 3, 5) \\ d \: = \sqrt{ (( - 3) - ( - 3))^{2} +( 5 - 3))^{2} } \\ d = \sqrt{(0) + (4)} \\ d = \sqrt{4} \\ \boxed{ d = 2 = AB} \\ \\ \underline{ \boxed{\overline{AC}}} \\ line \: \overline{AC} \: has \: points \to: ( - 3, - 3) \: and \:( 5, - 1) \\ d \: = \sqrt{ (( - 3) - ( - 3))^{2} +(( - 1) - 5)^{2} } \\ d = \sqrt{(0) + ( - 6) {}^{2} } \\ d = \sqrt{36} \\ \boxed{ d = 6 = AC} \\ \\ \underline{ \boxed{\overline{BC}}} \\ line \: \overline{BC} \: has \: points \to: ( 3, 5) \: and \:( 5, - 1) \\ d \: = \sqrt{ (5 - 3)^{2} +(( - 1) - 5)^{2} } \\ d = \sqrt{(2) {}^{2} + ( - 6) {}^{2} } \\ d = \sqrt{40} \\ \boxed{ d =2 \sqrt{10} = BC} \\ its \: a \: scalene : since \: the \: three \: sides \: are \: not\: equal[/tex]

Answer:

B

Step-by-step explanation:

there is a hole at -1, so -1 is less than x and x is greater than or equal to 4

The compound inequality shown on the graph is x < -1 and x≥4.

Mathematical expressions with inequalities are those in which the two sides are not equal. Contrary to equations, we compare two values in inequality. Less than (or less than or equal to), greater than (or greater than or equal to), or not equal to signs are used in place of the equal sign.

We have the graph for the inequality.

The first part of the inequality is

x < -1

and, the second part of inequality x≥4

So, the compound inequality is x < -1 and x≥4.

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Answer:

Distribute the 2 through to the (x-5)

Step-by-step explanation:

After that you get x by itself and stuff like that, but first is distributing.

Answer:

5a + 13

Step-by-step explanation:

3a + 7 + 2(3 + a)

3a + 7 + 6 + 2a

5a + 13

Answer:

11m-3v

Step-by-step explanation:

Answer:

11m-v3 i think

Step-by-step explanation: