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1 year ago

2x+14= -21-5x Need to find out what x is but a step by step explanation please

2 answers:

8 0

Notice how on both sides of the equation there is one coefficient (number being multiplied by x) and a constant (just a plain number). You want all constants to be on one side and all coefficients on the other. He’s how do to that:
2x+14=-21-5
I am choosing that all constants will be on the right side, so I will do the inverse operation of any constant on the left side to remove it. Here, a constant on the left side is 14. I will subtract 14 from both sides of the equation. Positive 14 minus 14 is zero, so it cancels out and removes it.
2x+14-14 = -21-5x
2x = -35-5x
See how the 14 is now gone? The equation looks much simpler now. Okay next, you can see that there is a coefficient on the “constant side” that I’ve chosen, so I am going to remove that. Negative 5 plus positive 5 equals zero. Do this on both sides of the equation.
2x+5x = -35-5x+5x
7x = -35
Now the equation is just two numbers. All that is left to do is divide by the last coefficient, 7, in this case.
7x/7 = -35/7
x = -5

Allushta [10]1 year ago

5 0

Answer:

Step-by-step explanation:

solve for x

2x+14=-21-5

2x+14=-26

subtract 14 from both sides

2x+(14-14)=-14-26

2x=-14-26

2x=-40

divide both sides of 2x = -40 by 2

$\frac{2x}{2} =\frac{-40}{2}$

2/2=1

x= $\frac{-40}{2}$

x= -20

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mart [117]

Problem 1

For functions like f(x), the input is x and the output is f(x).

If x = 7, then f(7) = 12 has the input 7 and output 12.

Therefore the ordered pair is (7, 12) which is the answer

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Problem 2

Replace every x with 3 and simplify

f(x) = 3*x

f(3) = 3*3

f(3) = 9

The input x = 3 leads to the output y = 9. Recall that y = f(x).

So (3,9) is the answer here.

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3 years ago

ABCD- parallelogram, If the perimeter of Triangle CPQ is 15cm, Find the perimeter of triangle BAQ. Find the perimeter of triangl

melamori03 [73]

Answer:

The answer is below

Step-by-step explanation:

A parallelogram is a quadrilateral (has 4 sides and 4 angle) with two pair of parallel and opposite sides. Opposite sides of a parallelogram are parallel and equal.

Given parallelogram ABCD:

AB = CD = 18 cm; BC = AD = 8 cm

∠P = ∠P, ∠PDA = ∠PCQ (corresponding angles are equal).

Hence ΔPCQ and ΔPDA are similar by angle-angle similarity theorem. For similar triangles, the ratio of their corresponding sides equal. Therefore:

$\frac{CD}{PC}= \frac{AD}{CQ}\\\\\frac{18}{6}=\frac{8}{x} \\\\x=\frac{6*8}{18}=\frac{8}{3}\ cm$

Perimeter of CPQ = CP + CQ + PQ

15 = 6 + 8/3 + PQ

PQ = 15 - (6 + 8/3)

PQ = 6.33

∠CQP = ∠AQB (vertical angles), ∠QCP = ∠QBA (alternate angles are equal).

Hence ΔCPQ and ΔABQ are similar by angle-angle similarity theorem

$\frac{AQ}{QP}=\frac{AB}{CP} \\\\\frac{AQ}{6.33} =\frac{18}{6} \\\\AQ=\frac{18}{6}*6.33\\\\AQ = 19$

$\frac{BQ}{CQ}=\frac{AB}{CP} \\\\\frac{BQ}{8/3} =\frac{18}{6} \\\\BQ=\frac{18}{6}*\frac{8}{3} \\\\BQ =8$

Perimeter of BAQ = AB + BQ + AQ = 18 + 8 + 19 = 45cm

PA = AQ + PQ = 19 + 6.33 = 25.33

PD = CD + DP = 18 + 6 = 24

Perimeter of PDA = PA + PD + AD = 24 + 25.33 + 8 = 57.33 cm

7 0

2 years ago

For the function given, state the middle line: ƒ(t) = 3 cos(π t − 1).

kozerog [31]

Cos (πt - 1) oscilates periodically between -1 and +1.

3Cos (πt - 1) oscilates periodically between -3 and +3.

The x-axis is the middle line. The equation of the x-axis is y = 0.

So the, the middle line is y=0.

8 0

2 years ago

The buyer for a convenience store negotiates a single discount for a gallon of yellow shaved ice flavoring, based on the change

Komok [63]

Answer:

$8.88

Step-by-step explanation:

12.00 - 26%(3.12)= $8.88

7 0

2 years ago

What is Representing Relationships of Angle Measures

Studentka2010 [4]

Given:

Angles X and Y form a straight line. Angles W and Z form a straight line. Angles X and W are beside each other. Angles Y and Z are beside each other.

We need to determine the relationship that represents the measure of ∠X and ∠Y

Option a: m∠X = m∠Y

Two angles are said to be congruent only if they are vertically opposite angles.

Since, we know that the given relationship between X and Y is a straight line, the relationship m∠X = m∠Y does not represent the relationship between X and Y.

Hence, Option a is not the correct answer.

Option b: m∠X + m∠Y = 90°

The given relationship shows that the angles X and Y are complementary angles. Because complementary angles add up to 90°

Hence, the given relationship m∠X + m∠Y = 90° does not represent that the angles X and Y are straight line.

Hence, Option b is not the correct answer.

Option c: m∠X + m∠Y = 100°

The given relationship shows that the sum of the two angles X and Y is 100°

Hence, the relationship m∠X + m∠Y = 90° does not represent that the angles X and Y forms a straight line.

Hence, Option c is not the correct answer.

Option d: m∠X + m∠Y = 180°

The given relationship shows that the angles X and Y are linear pairs of angles. That is, two angles in a straight line add up to 180°

Hence, the relationship m∠X + m∠Y = 90° represents the angles X and Y form a straight line.

Hence, Option d is the correct answer.

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3 years ago