Find the solution to this system:
Equation 1: 5x – 2y = -11 (2)
Equation 2: -2x + 5y = 17
Step #2
Multiplying Equation 2 by will create additive
inverses for the x-coefficients.

Answer:

A line that passes (2, 0) and (-6, 3) has slope:

S1 = (-6 -2)/(3 - 0) = -4/3

Another line that is perpendicular with above line has slope:

S2 = -1/S1 = -1/(-4/3) = 3/4

=> Option B is correct

Hope this helps

:)

The segment with endpoints (2,0) and (-6,3) has a line perpendicular to it with a slope of 4/3.

A linear equation is an algebraic equation of the form y=mx+b, where m is the slope and b is the y-intercept, and only a constant and a first-order (linear) term are included. Sometimes, the aforementioned is referred to as a "linear equation of two variables," with y and x serving as the variables.

From the general formula of the slope:

slope = (change in y) / (change in x)

The change in y is 3 - 0 = 3, and the change in x is -6 - 2 = -8. So the slope of the segment is:

slope = (3 - 0) / (-6 - 2) = -3/4

To find the slope of the line perpendicular to the segment, we know that it must have the opposite reciprocal slope. That is:

the slope of perpendicular line = -1 / slope of segment

slope of perpendicular line = -1 / (-3/4) = 4/3

Therefore, the slope of the line perpendicular to the segment with endpoints (2,0) and (-6,3) is 4/3.

Learn more about Linear equations here:

https://brainly.com/question/11897796

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Answer:

[tex]2x\sqrt{40x}-2x\sqrt{5}[/tex]

Step-by-step explanation:

[tex]2x\sqrt{40x}-2x\sqrt{5}[/tex] is found by first, siplifying the radicals in the parenthesis. [tex]\sqrt{8x^{2} }[/tex] can be simplified as [tex]2x\sqrt{2}[/tex] and [tex]-2\sqrt{x}[/tex] stays the same. Now we have to multiply these two by [tex]\sqrt{5x}[/tex] which then results in [tex]2x\sqrt{40x}-2x\sqrt{5}[/tex]

Answer:

315

Step-by-step explanation:

If 70 children is 2 parts, one part is 35

35*9 is 315

Answer:

315 adults

Step-by-step explanation:

2:9 where 2 is children and 9 is adults.

2 = 70, therefore 1 = 35

35 x 9 = 315

Answer:

Step-by-step explanation:

none of the above

Answer:

50

Step-by-step explanation:

Answer: The answer it’s 50. You need to divided the amount of cars and the hours. Therefore you’ll need to divide 400 and 8 which will then give you 50.

Answer:

20 games

Step-by-step explanation:

Answer:

1) The windsurfer is approximately 580 ft from each lifeguard stand.

2) The distance between the Earth and Mercury is approximately 61 million miles.

Step-by-step explanation:

The image other two situations described is presented in the attached image to this answer.

1) From the attached image, the windsurfer forms a right angled triangle with each of the lifeguard stand and the midpoint between the two lifeguard stands.

Hence, the angle at the top of the triangle is half of 30°, 15° and the distance from the midpoint of the lifeguard stands to the lifeguard stands is 300/2 = 150 ft.

Let the required distance of the windsurfer from each of the lifeguard stands be x.

Using trigonometric relations,

Sin 15° = (150/x)

x = 150 ÷ sin 15° = 150 ÷ 0.2588

x = 579.6 ft = 580 ft to the nearest whole number

2) From the image, the Sun, Earth and Mercury form a triangle.

Let the possible distance between the Earth and Mercury be y.

Using cosine rule,

y² = 36² + 93² - (2×36×93×cos 22°)

y² = 3,736.5769098208

y = √3,736.5769098208 = 61.13 million miles = 61 million miles to the nearest million miles.

Hope this Helps!!!

Answer:

We can conclude that of the women who responded to the survey, most of them stated that they do not cook dinner every day. However, it is important to note that there is not much more to be concluded because there are a lot of factors that can go into this. For example, to push feminist perspectives, women may lie about them cooking or be more inclined to respond to the survey (voluntary response bias). Furthermore, women who cook may be less likely to be on the site

Answer:

Undercoverage occurred, so the results tell us little about the population of all adults.

Explanation:

This was targeted to social networking site females, this excludes the population of females who do not use social networking or are unable to. Hope this helps

Answer:

Step-by-step explanation:

Givens

To find the total amount of fabric Diana used, we must sum those fractions

[tex]\frac{3}{8} +\frac{2}{8}=\frac{5}{8}[/tex]

Diana uses 5/8 square yard of fabric for both pillows.

Now, we subtract to find the remaining amount of fabric

[tex]1-\frac{5}{8}=\frac{8-5}{8}=\frac{3}{8}[/tex]

Therefore, there remains 3/8 square yard of fabric.

Answer:

answer is 1

Step-by-step explanation:

[tex]-\frac{9}{12} - (-\frac{7}{4}) = -\frac{3}{4} - (-\frac{7}{4})\\=\frac{4}{4} = 1[/tex]

Answer:

99.5

Step-by-step explanation:

Answer: 51.54 ft

Step-by-step explanation:

The ladder should be 1 feet away from the wall by each 4-feet that the wall rises, so if we have a 50 ft wall, the distance between the bottom of the ladder and the wall must be:

50ft/4 = 12.5ft.

Now we know the cathetus of our ladder, 12.5ft and 50ft, let's find the hypotenuse, that is:

H = √(12.5^2 + 50^2) = 51.54 feet.

Which is also the lenght of our ladder, so the shortest ladder to climb safely a 50 ft wall is 51.54 ft long.

Answer:

9

Step-by-step explanation:

Given that

Spending done by Miranda each time while go to the store = $7

Spending done by Savannah each time while go to the store = $9

For computing the least possible number we need to take the least common multiple of $7 and $9 i.e to be $63

Now the lease possible number for Miranda has been to the store is

[tex]= \frac{ Lease\ common\ multiple}{Spending\ done \ by\ miranda}[/tex]

[tex]= \frac{\$63}{\$7}[/tex]

= 9

Or we can do one thing as we know that 7 is a prime number which is not cut by any other number except one while the 9 factor could be [tex]= 3\times 3[/tex]

Therefore the 9 times would be considered

Answer:

8 cm and 10 cm

Step-by-step explanation:

Hello, I can help you with this.

Step 1

According to the question there are two rectangles A and B,

Rectangle A is a scale drawing of Rectangle B and has 25% of its area

in other words

[tex]Area_{A}=0.25*Area_{B} (Equation\ 1)\\[/tex]

Step 2

Let

Rectangle A

length (1)= 4 cm

length (2)= 5 cm

[tex]Area_{A}=4\ cm * 5\ cm\\Area_{A}=20\ cm^{2}[/tex]

put this value into equation 1

[tex]Area_{A}=0.25*Area_{B} (Equation\ 1)\\\\20\ cm^{2} =0.25*Area_{B} \\divide\ each\ side\ by\ 0.25\\\frac{20\ cm^{2} }{0.25}=\frac{0.25}{0.25}*Area_{B}\\ Area_{B}=80\ cm^{2}[/tex]

Now, we know the area of rectangle B, to know its length we need to formule other equation

Step 3

[tex]Area_{B}=80\ cm^{2}\\length (1B)*length (2B)=80\ cm^{2} (equation\ 2)\\[/tex]

the ratio between the lengths must be constant, so the ratio of A must be equal to ratio in B, then

[tex]\frac{length(1A)}{length(2A)}=\frac{length(1B)}{length(2B)} \\\\\\frac{4}{5}= \frac{length(1B)}{length(2B)}\\0.8=\frac{length(1B)}{length(2B)}\\length(1B)=0.8*length(2B) (Equation 3)[/tex]

Step three

using Eq 1 and Eq 2 find the lengths

put the value of length(1B) into equation (2)

[tex]length (1B)*length (2B)=80\ cm^{2} (equation\ 2)\\\(0.8*length(2B)) (*length (2B)=80\ cm^{2} \\\\0.8*(length (2B))^{2} =80\ cm^{2}\\(length (2B))^{2} =\frac{80\ cm^{2}}{0.8} \\(length (2B))^{2}=100\\\sqrt{(length (2B))^{2}}=\sqrt{100\ cm^{2}} \\ length (2B)=10\ cm[/tex]

Now, put the value of length(2B) into equation 3 to know length (1B)

[tex]length(1B)=0.8*length(2B)\\length(1B)=0.8*10\ cm\\length(1B)=8 cm[/tex]

I really hope this helps you, have a great day.

Answer: that the variable can be any number.

Step-by-step explanation:

So we have a linear equation and we end with a relation of the way:

x = x

an example can be if we have:

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

if you solve that, you will end with a relationship x = x

this means that any value of x will made that equality true.

so x can be any number.

Answer:

D trust the process

Step-by-step explanation:

Answer:

thats so cool! Happy Birthday you should get some kind of dessert and pizza.

Step-by-step explanation:

Dessert: get some ice cream and something to go with it. TASTY

Pizza: pizza=happiness and happiness is what you should be on your bday!

Answer:

(2x)/(x-1)

x = y/(y-2)

(y-2)x = y

yx - 2x =y

yx-y = 2x

y(x-1) = 2x

y= 2x/(x-1)

Answer:

There are 4 terms when simplified. :)

Step-by-step explanation:

Add like terms.

a2-ab+10b-1

8b+2b=10b

Answer:

We are expected to find 1,080,000 right handed people in that group of people

Step-by-step explanation:

In this question, we are given the ratio of right handed to left handed people and we are asked to calculate the number of right handed people we can find in a given population.

First, we check the ratio given.

The ratio is said to be that of left handed individuals to right handed individuals and this sits at 2 to 9.

Thus out of 1,320,000 people , the number of right handed individuals will be ;

9/(2+9) * 1,320,000

9/11 * 1,320,000

= 1,080,000 people

Question:

1) Blue triangle points; (-1, 4), (-5, 4), and (-1, 1)

Red triangle points; (-4, -1), (-1, -1). and (-4, -5)

2) Blue triangle points (1, 1), (4, 5), (4, 1)

Red triangle points; (-1, 1), (-1, 4). and (-5, 4)

3) Blue triangle points (0, 1), (4, 4), (4, 1)

Red triangle points; (-4, 1), (-4, 4). and (0, 1)

4) Blue triangle points (-5, 4), (-1, 4), (-1, 1)

Red triangle points; (1, 1), (4, 1). and (4, 5)

5) Blue triangle points (-2, 5), (4, 5), (4, 1)

Red triangle points; (-1, 4), (-5, 4). and (-5, -2)

Answer:

The correctly rotated red triangles are those of (1), (2), and (5)

Step-by-step explanation:

In a 90° counterclockwise rotation, every x and y points of the original triangle are switched while the y is turned negative, as shown in the following equation;

(x, y) to (-y, x)

Therefore, the triangles that undergo a 90° counterclockwise rotation are as follows;

1) Blue triangle points; (-1, 4), (-5, 4), and (-1, 1)

Red triangle points; (-4, -1), (-1, -1). and (-4, -5)

(-1, 4) → (-4, -1)

(-5, 4) → (-4, -5)

(-1, 1) → (-1, -1)

Correctly rotated 90° counterclockwise

2) Blue triangle points (1, 1), (4, 5), (4, 1)

Red triangle points; (-1, 1), (-1, 4). and (-5, 4)

(1, 1) → (-1, 1)

(4, 5) → (-5, 4)

(4, 1) → (-1, 4)

Correctly rotated 90° counterclockwise

3) Blue triangle points (0, 1), (4, 4), (4, 1)

Red triangle points; (-4, 1), (-4, 4). and (0, 1)

(0, 1) → (0, 1) ≠ (-1, 0)

(4, 4) → (-4, 4)

(4, 1) → (-4, 1)

Not correctly rotated 90° counterclockwise

4) Blue triangle points (-5, 4), (-1, 4), (-1, 1)

Red triangle points; (1, 1), (4, 1). and (4, 5)

(-5, 4) → (4, 5) ≠ (-4, -5)

(-1, 4) → (4, 1)

(-1, 1) → (1, 1)

Not correctly rotated 90° counterclockwise

5) Blue triangle points (-2, 5), (4, 5), (4, 1)

Red triangle points; (-1, 4), (-5, 4). and (-5, -2)

(-2, 5) → (-5, -2)

(4, 5) → (-5, 4)

(4, 1) → (-1, 4)

Correctly rotated 90° counterclockwise.

Answer:

1,2,5

Step-by-step explanation:

Answer:

x = 1 or x = -3/2

Step-by-step explanation:

Solve for x over the real numbers:

2 x^2 + x - 3 = 0

The left hand side factors into a product with two terms:

(x - 1) (2 x + 3) = 0

Split into two equations:

x - 1 = 0 or 2 x + 3 = 0

Add 1 to both sides:

x = 1 or 2 x + 3 = 0

Subtract 3 from both sides:

x = 1 or 2 x = -3

Divide both sides by 2:

Answer: x = 1 or x = -3/2

Answer: d

Step-by-step explanation:to s is to heavy and the others are for liquid and size

Answer:

D

Step-by-step explanation:

just makes the most sense

Answer:

58º

Step-by-step explanation:

Answer:

58 degrees

Step-by-step explanation:

x and 32 are complementary, which means they must add to 90 degrees.

x+32=90

Now, we have to solve for x. To do this, we need to get x by itself. 32 is being added on to x. To reverse this, subtract 32 from both sides, because subtraction is the opposite of division.

x+32-32=90-32

x=90-32

x=58

x is 58 degrees

Answer:

f(5) = -7

Step-by-step explanation:

f(5) means that x=5 so what you have to do if count +5 along the x axis and then count downward along the y axis until you touch the line. In this case, you count 7 down which is -7

Answer:

The original point is (5, -5). The new point would be (5, 3)

Step-by-step explanation:

-5+8= 3

Answer:

I hope I helped you! If my answer is correct, please mark me brainiest. Thanks!

Step-by-step explanation:

the sum of 5 and with a number is X+5 if that what you were trying to say