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2 years ago

HELP THIS IS DUE SOON!!!

Mathematics

1 answer:

aev [14]2 years ago

6 0

Answer:

x≥9

Step-by-step explanation:

Pretend the Less than or equal to sign is just an equals sign

-7x+7=-56 Solve:

-7x=-56-7

-7x=-63

For the last step, if you divide a negative number, the Sign switches. So not the sign is greater than or equal to.

x>=9

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I WILL MARK BRAINLIEST!!! 25 POINTS!!! Select ALL of the correct systems of equations.

choli [55]

The 3rd and 5th systems of equations are the answer.

Point A is at (3,-1), so all you do is input 3 for x and -1 for y into all the equations. For the systems to work, both equations must work with (3,-1).

Only the third and fifth boxes work.

8 0

3 years ago

Pentagon A'B'C'D' is the image of pentagon ABCDE under a dilation,

viva [34]

Answer:

scale factor = $\frac{1}{3}$

Step-by-step explanation:

Compare the ratio of corresponding sides, image to original.

AB = 6 units and A'B' = 2 units, thus

scale factor = $\frac{A'B'}{AB}$ = $\frac{2}{6}$ = $\frac{1}{3}$

3 0

2 years ago

The weekly earnings of students in one age group are normally distributed with a standard deviation of 47 dollars. A researcher

ELEN [110]

Answer:

Option D) 340

Step-by-step explanation:

We are given the following in the question:

Alpha, α = 0.05

Population standard deviation, σ = $47

Margin of error = 5

95% Confidence Interval:

$\mu \pm z_{critical}\frac{\sigma}{\sqrt{n}}$

$\text{Margin of error} = z_{critical}\frac{\sigma}{\sqrt{n}}$

Putting the values, we get,

$z_{critical}\text{ at}~\alpha_{0.05} = 1.96$

$5 = 1.96(\dfrac{47}{\sqrt{n}} )\\\\\sqrt{n} = \dfrac{47\times 1.96}{5}\\\\n = 339.443776\\\Rightarrow n \approx 340$

Thus, the correct answer is

Option D) 340

7 0

2 years ago

Given triangle abc with vertices A(2,-1), B(5,6), C(-1,4) as shown. Find the number of square units in the area of triangle abs

Roman55 [17]

Answer:

The area of the triangle is 18 square units.

Step-by-step explanation:

First, we determine the lengths of segments AB, BC and AC by Pythagorean Theorem:

$AB = \sqrt{(5-2)^{2}+[6-(-1)]^{2}}$

$AB \approx 7.616$

$BC = \sqrt{(-1-5)^{2}+(4-6)^{2}}$

$BC \approx 6.325$

$AC = \sqrt{(-1-2)^{2}+[4-(-1)]^{2}}$

$AC \approx 5.831$

Now we determine the area of the triangle by Heron's formula:

$A = \sqrt{s\cdot (s-AB)\cdot (s-BC)\cdot (s-AC)}$ (1)

$s = \frac{AB+BC + AC}{2}$ (2)

Where:

$A$ - Area of the triangle.

$s$ - Semiparameter.

If we know that $AB \approx 7.616$ , $BC \approx 6.325$ and $AC \approx 5.831$ , then the area of the triangle is:

$s \approx 9.886$

$A = 18$

The area of the triangle is 18 square units.

7 0

2 years ago

How do you get the number 43 with the numbers 2,3,6,8 with using all numbers and only using them once.

iren [92.7K]

Answer:

Multiply 8x6 and subtract 2 and 3

Step-by-step explanation:

8x6=48

48-3=45

45-2=43

8 0

2 years ago