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4 years ago

Solve each equation 4(a+5)=10+4a

Mathematics

1 answer:

Degger [83]4 years ago

6 0

Answer:

10 = a

Step-by-step explanation:

To find this answer, first you need to distribute 4 times a and 4 times 5, since this is in parenthesis. You should get 4a + 20 = 10 + 4a. From there, you can subtract 4a from both sides of the equal sign, which will cancel out one of the 4a's. You should be left with 20 = 10 + a. Finally, you can subtract 10 from both sides of the equal sign and get 10 = a.

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Look at the figure. Which construction is illustrated? 7. Which is the equation of the line with slope 3 that contains point (−1

kenny6666 [7]

Answer:

Option B

Step-by-step explanation:

I can't do the 'figure question' because it lacks info, but I can answer the point-slope question.

Point-slope form is: $y-y_1=m(x-x_1)$

'm' - slope

'(x1, y1)' - point

We are given the slope of 3 and the point (-1, 5).

Replace 'x1', 'y1', and 'm' with the appropriate values.

$y-y_1=m(x-x_1)\rightarrow \boxed{y-5=3(x+1)}$

Option B should be the correct answer.

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3 years ago

(All problems are connected with eachother.) Directions: Mr. Clark's backyard vegetable garden is circular, centered at point A,

jonny [76]

Check the picture below. part 1 and 2 are there.

part 3)

$\bf \textit{arc's length}\\\\
s=\cfrac{r\theta \pi }{180}\implies \cfrac{180s}{r\pi }=\theta \qquad 
\begin{cases}
\theta =\textit{angle in degrees}\\
r=radius\\
----------\\
s=12.2\\
r=\sqrt{\frac{315}{\pi }}
\end{cases}
\\\\\\
\cfrac{180\cdot 12.2}{\pi \sqrt{\frac{315}{\pi }}}=\theta \implies 69.8075^o\approx \theta \implies 70^o\approx\theta$

$\bf \textit{area of a sector of a circle}\\\\
A=\cfrac{\theta \pi r^2}{360}\quad 
\begin{cases}
r=\sqrt{\frac{315}{\pi }}\approx 10\\
\theta \approx 70
\end{cases}\implies A=\cfrac{70\cdot \pi \cdot 10^2}{360}$

4 0

3 years ago

I’m confused on this one

UkoKoshka [18]

The ratios in a 30-60-90 triangle are 1 : $\sqrt[2]{3}$ : 2. Therefore, since the hypotenuse is the longest and it is 10, 10 / 2 is 5 meaning 5 is the smallest side.

8 0

4 years ago

A particular shirt is on sale for $12. The regular price is $20. How much is the discount? Use the formula Discount = Regular pr

noname [10]

Answer:

40% discount

Step-by-step explanation:

40% of 20 = 8

20 - 8 = 12

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3 years ago

2. Dominique baked 4 dozen muffins. She wants to put the muffins in packages of 6.

Lelu [443]

Answer:

24 packages

Step-by-step explanation:

One dozen is 12, so 4 x 12 = 24

7 0

3 years ago