Adding/subtracting linear equations

Answer:

Step-by-step explanation:

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Answer:

Answer is in the picture. hope it helps

Answer:

C

Step-by-step explanation:

3 is positive and -4 is negative, so 3 is to the right of 0 and -4 is to the left of 0

Answer:

3t + 81

Step-by-step explanation:

1. First, let's simplify 7t+6w−4t+2w

2. As you can see, the first choice matches with our solution.

Therefore, 3t + 81 is equivalent to 7t+6w-4t+2w.

Answer:

[tex] \sf \: a) \: 3t + 8w[/tex]

Step-by-step explanation:

Now we have to,

→ Find the equivalent expression.

The expression is,

→ 7t + 6w - 4t + 2w

Let's simplify the expression,

→ 7t + 6w - 4t + 2w

→ 7t - 4t + 6w + 2w

→ (7t - 4t) + (6w + 2w)

→ (3t) + (8w)

→ 3t + 8w

Hence, the answer is 3t + 8w.

Answer:

(3, -7)

Step-by-step explanation:

y = x² - 6x + 2

a = 1, b = -6

[tex]x = - \frac{ - 6}{2 \times 1} [/tex]

x = 3

y = x² - 6x + 2; x = 3

y = -7

= (3, -7)

Answer:

4/8 = 20/x

20 x 8 = 160

160 ÷ 4 = 40

the student will attend 40 weeks of school

Answer:

p = -4, q = -3

Step-by-step explanation:

y = -2x +4  ... (1)   perpendicular bisector of AB, slope = -2

slope of AB = 1/2

Line AB pass (8,3): (y-3) / (x-8) = 1/2

AB equation: y-3 = 1/2(x-8)      y = 1/2x - 1  ... (2)

(2)-(1): 5/2 x = 5      x = 2

y = 0       (2,0) intercept of bisector and AB, it is midpoint of A (8,3) and (p,q)

(8+p)/2 = 2

p = -4

(3+q)/2 = 0

q = -3

The values of p and q from the perpendicular bisector are;

p = -4 and q = -3

We are given coordinates of A and B as;

A(8, 3) and B(p, q)

Bisector of AB is y = -2x + 4

Thus, from y = mx + c, Slope of the bisector is -2.

Since the bisector is perpendicular to AB, then slope of AB = -(1/-2) = 1/2

Thus, slope of the line from point A to the point of the bisector on AB is;

(y - 3)/(x - 8) = 1/2

y - 3 = ¹/₂(x - 8)

y - 3 = ¹/₂x - 4

y = ¹/₂x - 1

Putting ¹/₂x - 1 for y in the bisector equation gives;

¹/₂x - 1 = -2x + 4

2x + ¹/₂x = 4 + 1

2.5x = 5

x = 5/2.5

x = 2

Thus;

y = -2(2) + 4

y = 0

Thus, the coordinate of the midpoint of AB is (2, 0)

Now, this means that;

(8 + p)/2 = 2

8 + p = 4

p = 4 - 8

p = 4

Also; (3 + q)/2 = 0

3 + q = 0

q = -3

Read more about equation of perpendicular bisector at; https://brainly.com/question/23090478

Answer:

2) y = (x - 3)^2 - 2

Step-by-step explanation:

y = -2

x = 3

To find the slope-intercept form (y=mx+c), we have to make 'y' the subject of the equation:

3y - 3x = 21                     [add 3x to both sides]

      3y = 3x + 21             [divide all terms by 3]

        y = x + 7

Answer:

D. X^2=49

Step-by-step explanation:

X= -4 or X=7

X^2=(-7)^2=49

or

X^2=(7)^2=49

Divide the amount of the tax by the cost of the item:

32.80 / 410 = 0.08

Multiply by 100:

0.08 x 100 = 8%

Answer: 8%

Answer:

For the first that person worked for 4 dollars an hour

2nd person worked for 4 dollars an hour

Step-by-step explanation:

12/3

&

36/9

=

4

Answer:

5 / 12

Step-by-step explanation:

Here,

x = 12

y = 5

Formula : -

Slope = y / x

Slope = 5 / 12

Answer:

2.25 grams

Step-by-step explanation:

Answer:

Step-by-step explanation:

7 days a week

sunday kelpie walked

three days after that wedensday poodle walked

two days before the poodle is tuesday rotweiler walked

day before rotweiler is  monday labradore walked

4 days before poodle is saturday terrier walked

german shepard walked friday

chihuahua walked thursday

Answer:

Because the domain refers to the set of possible input values, the domain of a graph consists of all the input values shown on the x-axis. The range is the set of possible output values, which are shown on the y-axis.

Answer:

it's the input and output of a graph, or the x and y coordinates. domain being x, and range being y.

Answer:

11, 13,15     8, 11, 14    op = 2,3

16, 12, 8    17. 14, 11   op = -4,-3

3, 7, 15     24, 16. 12  op 4,4    because difference = op 4, 8 = 4   op -8, -4 = 4

Step-by-step explanation:

9+ 2 = 11, 13,15  ordered pair 2

5+ 3 = 8, 11, 14   ordered pair  3

20-4 = 16, 12, 8  ordered pair -4

20-3 = 17. 14, 11  ordered pair -3

1 x 2 +1  = 3, 7, 15 ordered pair  4, 8 = 4  

40 / 2 + 4 = 24, 16. 12 ordered pair -8, -4 = 4  

Answer:

(2y - 1 -3 3x – y 2y = x - 2             answer is -3 or 56.309 or +3/2

Step-by-step explanation:

The sum of all three interior angles of a triangle is 180° thus the measure of x for the given triangle is 8 therefore,∠E = 75°,∠D = 38°, and ∠F = 67°.

A triangle is a 3-sided shape that is occasionally referred to as a triangle. There are three sides and three angles in every triangle, some of which may be the same.

It is known that the sum of all three angles inside a triangle will be 180°.

Therefore, ∠E + ∠F + ∠D = 180°.

Given that, ∠E = 9x + 3,∠F = 11x -21 and  ∠D = 5x - 2

So, 9x + 3 + 11x - 21 + 5x - 2 = 180

25x - 20 =180

25x = 200

x = 8

So,

∠E = 9(8) + 3 = 75°

∠F  = 11(8) - 21 = 67°

∠D = 5(8) -2 = 38°

Hence "The sum of all three interior angles of a triangle is 180° thus the measure of x for the given triangle is 8 therefore,∠E = 75°,∠D = 38°, and ∠F = 67°".

For more about triangles,

https://brainly.com/question/2773823

#SPJ2

Answer:

Answer:

Population size:9

Mean (μ): 16.017777777778  

Mean Absolute Deviation (MAD): 1.5753086419753

Answer:

x = 10

Step-by-step explanation:

1. First, we should recognize that 6x and 5x + 10 are corresponding angles, meaning they occupy the same relative position. They're also congruent.

2. (Solving)

Step 1: Subtract 5x from both sides.

Step 2: Check if solution is correct.

Therefore, x = 10.

Answer:

10ft by 12ft

Step-by-step explanation:

Step 1 : Find the area of the garden.

Area formula = length * width

Area = 8 * 12

Area = 96

Step 2 : Find 25% of 96.

96 divided by 4 = 24

Step 3 : Add that 25% (24) onto 96.

24 + 96 = 120

We now know that the new area of the garden is 120 [tex]feet^{2}[/tex].

The new dimensions of the garden could be 10 times 12, since that equals 120. Therefore, the answer is 10ft by 12ft.

Have a nice day, and mark brainliest if possible. :)

Answer:

24/25

Step-by-step explanation:

96% as a fraction -

96/100

simplify -

24/25

HOPE IT HELPS :)

Answer:

148°

Step-by-step explanation:

this is the answer i promise

Answer:

Step-by-step explanation:

The x-intercept is where y is 0.

The y-intercept is where x is 0.

The x-intercept would be (-4, 0) and the y-intercept (0, 2)

Using the slope formula, (y2-y1/x2-x1), we can find the slope which is 1/2.

Answer:

B

Step-by-step explanation:

14/2.54=5.51

Answer:

B. 5.51

Step-by-step explanation:

14÷2.54=5.5111811

Answer:

y = -1/2x + 4

Step-by-step explanation:

= x + 2y = 8

= 2y = 8 - x

= y = 4 - 1/2x

= y = -1/2x + 4

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