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Volgvan
3 years ago
11

CORRECT ANSWER WILL GET BRAINLIEST

Mathematics
1 answer:
astra-53 [7]3 years ago
8 0

So,Let l represent the length of the rectangle.The first statement translates to:l = 7 + wThe second statement translates to:2l + 2w > 62a. The first statement is the answer to this question: l = 7 + wb. Since the question asks us to write AN inequality, we will "combine" the two equations by substitution.2(7 + w) + 2w > 6214 + 2w + 2w > 6214 + 4w > 62c. Now, all we have to do is solve the inequality.Subtract 14 from both sides.4w > 48Divide both sides by 4.w > 12

The width of the rectangle must be strictly greater than 12 mm.


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Write the equation of the line that passes through the points (-6,5) and (3,−5). Put your answer in fully reduced point-slope fo
elena55 [62]

Answer:

\displaystyle y-5=-\frac{10}{9}(x+6)

Or:

\displaystyle y+5=-\frac{10}{9}(x-3)

Step-by-step explanation:

We want to write the equation of a line that passes through the points (-6, 5) and (3, -5) in point-slope form.

Point-slope form is given by:

y-y_1=m(x-x_1)

Thus, first, we need to find the slope. We can use the slope formula:

\displaystyle m=\frac{\Delta y}{\Delta x}=\frac{(-5)-(5)}{(3)-(-6)}=\frac{-10}{9}=-\frac{10}{9}

Next, we can use either of the two given points. I'll use (-6, 5). So, let (-6, 5) be (<em>x₁, y₁</em>). Substitute:

\displaystyle y-(5)=-\frac{10}{9}(x-(-6))

Or, fully simplified:

\displaystyle y-5=\frac{-10}{9}(x+6)

Using the other point, we will acquire:

\displaystyle y-(-5)=-\frac{10}{9}(x-(3))

Or, simplified:

\displaystyle y+5=-\frac{10}{9}(x-3)

8 0
3 years ago
What are all of the factors for 12 and 30? If you answer thank you for helping, I really appreciate it.
svet-max [94.6K]

Answer:

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2,3,4,6

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12,3,5,6,10,15

4 0
3 years ago
Solve the proportion. I need to show much work so a step by step explanation would help!
kkurt [141]

Answer:

<em>Solution: x=5</em>

Step-by-step explanation:

<u>Equations</u>

This is an equation in the form of a proportion or ratio:

\displaystyle \frac{2}{x+3}=\frac{5}{4x}

To solve it, we eliminate the denominators by multiplying by both of them.

Multiply by (x+3)(4x):

\displaystyle (x+3)(4x)\frac{2}{x+3}=(x+3)(4x)\frac{5}{4x}

Simplify both sides:

(4x)*2=(x+3)*5

Operate:

8x=5x+15

Simplify:

3x=15

Solve for x:

x=15/3=5

Solution: x=5

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Find the sum of 6 and 16. Then find the quotient of the sum and -2
zimovet [89]
6 + 16 = 22

22 / -2 = -11
3 0
3 years ago
You start at (-4, -5). You move left 1 unit and right 6 units. Where do you end?
STALIN [3.7K]

Answer:

(1,-5)

Step-by-step explanation:

If you were to look on a graph and were to start at (-4,-5)

Then moved one unit to the left would be at the point (-5,-5)

Then after you'd move 6 units to the right and be left at point (1,-5)

As you can see the Y coordinate stayed constant because we only moved across the X axis.

3 0
3 years ago
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