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3 years ago

-4(10-a)=36 what the steps

Mathematics

1 answer:

SpyIntel [72]3 years ago

8 0

Hey there!☺

$Answer:\boxed{a=19}$

$Explanation:$

$-4(10-a)=36$ Equation

−4(10 − a) = 36 Simplify both sides

(−4)(10) + (−4)(−a) = 36 Distribute

−40 + 4a = 36

4a − 40 = 36

4a - 40 + 40 = 36 + 40 Add 40 to both sides

4a = 76

4a/4 = 76/4 Divide both sides by 4

76/4 = 19 Simplify 76/4

a = 19

Hope this helps!

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Find the equation of the line that passes through the following two points: (3, -7) and (7, 2)

Wittaler [7]

Answer:

$y=\frac{9}{4}x-\frac{55}{4}$

Step-by-step explanation:

Slope-intercept form: y = mx + b

Slope formula: $\frac{y2-y1}{x2-x1}$

Given points: (3, -7), (7, 2)

(3, -7) = (x1, y1)

(7, 2) = (x2, y2)

To write the equation in slope-intercept form, we need to find the slope(m) and the y-intercept(b) of the equation.

First, let's find the slope. To do this, input the given points into the slope formula:

$\frac{2-(-7)}{7-3}$

Simplify:

2 - (-7) = 2 + 7 = 9

7 - 3 = 4

$\frac{9}{4}$

The slope is $\frac{9}{4}$ .

To find the y-intercept, input the slope and one of the given points(in this example I'll use point (7, 2)) into the equation and solve for b:

$2=\frac{9}{4}(7)+b$

$2=\frac{63}{4}+b$

$-\frac{55}{4} =b$

The y-intercept is $-\frac{55}{4}$ .

Now that we know the slope and the y-intercept, we can write the equation:

$y=\frac{9}{4}x-\frac{55}{4}$

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2 years ago

Combine the like terms to create an equivalent expression:<br> -2x-x+8

lara31 [8.8K]

Answer:

-3x+8

Step-by-step explanation:

-2x-x+8=

-3x+8

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2 years ago

Determine the most precise name for ABCD (parallelogram, rhombus, rectangle, or square). Explain how you determined your answer.

Sonja [21]

<h3>Answer: Rhombus</h3>

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Reason:

Let's find the distance from A to B. This is equivalent to finding the length of segment AB. I'll use the distance formula.

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Segment AB is exactly $\sqrt{17}$ units long, which is approximately 4.1231 units.

If you were to repeat similar steps for the other sides (BC, CD and AD) you should find that all four sides are the same length. Because of this fact, we have a rhombus.

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

Let's see if this rhombus is a square or not. We'll need to see if the adjacent sides are perpendicular. For that we'll need the slope.

Let's find the slope of AB.

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Segment AB has a slope of 1/4.

Do the same for BC

$B = (x_1,y_1) = (7,6) \text{ and } C = (x_2,y_2) = (6,2)\\\\m = \frac{y_{2} - y_{1}}{x_{2} - x_{1}}\\\\m = \frac{2 - 6}{6 - 7}\\\\m = \frac{-4}{-1}\\\\m = 4\\\\$

Unfortunately the two slopes of 1/4 and 4 are not negative reciprocals of one another. One slope has to be negative while the other is positive, if we wanted perpendicular lines. Also recall that perpendicular slopes must multiply to -1.

We don't have perpendicular lines, so the interior angles are not 90 degrees each.

Therefore, this figure is not a rectangle and by extension it's not a square either.

The best description for this figure is a <u>rhombus</u>.

4 0

1 year ago

Read 2 more answers

Someone help me solve this and could you explain why too?

yulyashka [42]

Answer:

3.5

Step-by-step explanation:

Well its easiest to just plug in the answers and see like 2 times 3.5 is 7.

Another way is saying 7 divided by 2 is 3.5

then u check to make sure its the same for all the numbers.

Which it is because 21 divided by 6 is also 3.5 :)

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3 years ago

Need help with math. I will give brainliest!!!!!!

Mice21 [21]

Answer:

Step-by-step explanation:

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Leg a= 24

Leg b= 10

Hypotenuse=26

Area=120

Read more on Brainly.com - brainly.com/question/12450752#readmore

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3 years ago