#2 AND #4 PLEASE HELP!!

Answer:

y = (1/2)x - 5

Step-by-step explanation:

The slope of the line y = -2x + 5 is -2.  The slope of any straight line perpendicular to this line is therefore the negative reciprocal of -2, which comes out to +1/2.

Using this fact, and the point (2, -4), we write out the slope-intercept form y = mx + b, and substitute the appropriate values:

-4 = (1/2)(2) + b

Then:

-4 = 1 + b, which yields b = -5

Thus, the desired equation is     y = (1/2)x - 5

Answer:

25

Step-by-step explanation:

percentage calculator 40 is what percent of 160=25;)

Answer:

40/100×160

Step-by-step explanation:

2/5×160

320/5

64

Answer:

The relationship between the graphs of the two functions is "They are reflections of each other across the y-axis" ⇒ B

Step-by-step explanation:

∵ The points on f(x) are (-2, -31), (-1, 0), (1, 2), (2, 33)

∵ The points on g(x) are (2, 3), (1, 0), (-1, 2), (-2, 33)

∵ All x-coordinates on f(x) multiplied by -1 to get the x-coordinates of g(x)

→ By using the 2nd rule above

∴ g(x) is the image of f(x) after reflection across the y-axis

∴ The relationship between the graphs of the two functions is

    "They are reflections of each other across the y-axis"

Answer:

Each sandwich cost $6.25

Step-by-step explanation:

Subtract the price of magazine then divide the remaining amount with 2 since the price of sandwiches same

(20 - 7.5) ÷ 2 = 6.25

Answer:  The density of the second substance = [tex]1.7\text{ g cm}^{-3}[/tex]

Step-by-step explanation:

[tex]\text{Relative density }=\dfrac{\text{Density of substance}}{\text{Density of reference}}[/tex]

Given: Density of a substance is [tex]3.4 \text{ g cm}^{-3}[/tex] .

Its relative density relation to another substance = 2.0

Substitute all values in the formula , we get

[tex]2=\dfrac{3.4}{\text{Density of reference}}\\\\\Rightarrow\ {\text{Density of reference}=\dfrac{3.4}{2}\\\\\Rightarrow\ {\text{Density of reference}=1.7 \text{ g cm}^{-3}[/tex]

Hence, the density of the second substance = [tex]1.7\text{ g cm}^{-3}[/tex]

Answer:

Triangle 1: Isosceles obtuse

Triangle 2: Right scalene

Step-by-step explanation:

Isosceles triangles have two congruent sides and two congruent angles. Triangle one fits this description because the double markers on sides AC and AB indicate that the two sides are congruent.

Obtuse triangles have an angle that is larger than 90 degrees. Triangle one fits this description as indicated by angle A. If it were a right angle, it would have a square symbol (as shown in triangle 2). The other two angles are obviously smaller, and they would be acute angles.

Right triangles have an angle that is exactly 90 degrees. Right triangles will have a square to indicate that it has this measurement.

Scalene triangles have three different measurements for its sides and its angles.

Answer:

Follows are the solution to this question:

Step-by-step explanation:

[tex]95 \% \[/tex] the confidence level for z:

[tex]\alpha = 1 - 95 \% \\\\[/tex]

   [tex]= 1 - 0.95 \\\\ = 0.05[/tex]

[tex]\to \frac{\alpha}{2} = \frac{0.05}{2} = 0.025\\\\\\to Z \ \frac{\alpha}{2} = Z_{0.025} = 1.96[/tex]

Calculating the Margin of error:

[tex]E = Z\ \frac{\alpha}{2} \times ( \frac{\sigma}{\sqrt{n}})[/tex]

   [tex]= 1.96 \times ( \frac{5000}{\sqrt{\sqrt{100}}})\\\\= 980[/tex]

The population means estimate a 95 % confidence interval is:

[tex]\to \bar{x} \frac{+}{-} E\\\\ = \$ 90000 \frac{+}{-} 980[/tex]

Answer:

x=-1

Step-by-step explanation:

Step 1: Subtract x from both sides.

−x+4−x=x+6−x

−2x+4=6

Step 2: Subtract 4 from both sides.

−2x+4−4=6−4

−2x=2

Step 3: Divide both sides by -2.

−2x/−2= 2/−2

x=−1

Hope this helped :)

Answer:

(-6, 6)

Step-by-step explanation:

The coordinates of B to start with is

(-2, 2)

To dilate this by a factor of 3....

-2 * 3 = -6

2 * 3 = 6

The new coordinates of B' would be

(-6, 6)

A few things to know:

- The number 3 is called a "scale factor"

- Dilation means we are multiplying all the (X, Y)'s by the scale factor

- If the scale factor is greater than 1, the size of the shape overall increases

- If the scale factor is less than 1, the size of the shape overall decreases

- If the scale factor is negative, the shape size stays the same. The shape just rotates 180 degrees and moves to the opposite quadrant.

Answer:

-9,-1

Step-by-step explanation:

this is for A

I was looking for it so here you go

you multiply your x and Y by 2

hope this helps :))

Answer:

1

Step-by-step explanation:

The volume of this cube is  1 cu.cm , Option B is the correct answer.

A cube is a three dimensional shape having 6 square faces , all the faces are of equal length , breadth and height.

The volume of the cube is given by side * side * side

Let side =  a

Then volume of the cube = a³

In the given figure all the side of the cube is given as 1 cm.

Therefore to determine the value of the volume , we will substitute in the equation

V = (1)³

Volume = 1 cu.cm

Therefore , the volume of this cube is  1 cu.cm, Option B is the correct answer.

To know more about Cube

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Answer:

All systems have 2 real solutions.

Explanation: there are X and Y unknowns.

Answer:

The difference in elevation of the two towns is 3182 feet.

Step-by-step explanation:

Let's treat the elevation of sea level as 0 feet. That way, we can calculate the elevation of the two spots by using it as a measuring parameter.

Apple Valley is 2,900 feet above sea level. Hence, its elevation is (0 + 2,900) feet, which is 2,900 feet.

Death Valley is 282 feet below sea level. Hence, its elevation is (0 - 282) feet, which is -282 feet.

Hence, to calculate the difference, we subtract the elevation of Death Valley from that of Apple Valley, getting [2900 - (-282)] feet, which equals to (2900 + 282) feet which is 3182 feet.

Therefore, the difference in elevation of the two towns is 3182 feet.

Hope this helped!

Answer:

Step-by-step explanation:

48/6.19=7.7544

Round that answer so it’s 7.75

Unit rate is $7.75 per ounce

Answer:

12 square feet is your answer.

Step-by-step explanation:

If you find this helpful please mark 5 stars and brainliest!

Answer:

Answer is below. Hope this helped, Have a Wonderful Day!!

Step-by-step explanation:

The sides can be found by taking the square root of the area.

(Area)1/2=s, where s = side.

(48)1/2= 24

So the length of a side is 24 ft.

Answer:

the y intercept is 3 and you go up 1 over 3 from the y intercept

Step-by-step explanation:

the y intercept is 3 and you go up 1 over 3 from the y intercept

The rate at which the diagonal of the rectangle is increasing is 18/13 cm/min.

To find the rate at which the diagonal of the rectangle is increasing, we can use the relationship between the sides of the rectangle, its area, and the diagonal.

Given that Height of the rectangle (h) = 5 cm

The rate at which the base is increasing (db/dt) = 3/2 cm/min

Area of the rectangle (A) = 60 cm²

We can determine the base (b) using the formula for the area of a rectangle:

A = b x h

60 = b x 5

b = 12 cm

Next, the Pythagorean theorem:

d² = b² + h²

d² = 12² + 5²

d² = 144 + 25

d² = 169

d = 13 cm

Now, to determine the rate at which the diagonal is increasing (dd/dt), we can differentiate the equation for the diagonal with respect to time:

d² = b² + h²

2d x (dd/dt) = 2b x (db/dt) + 0 x (dh/dt)

2d x (dd/dt) = 2b x (db/dt)

(dd/dt) = (b (db/dt)) / d

Substituting the known values:

(dd/dt) = (12 x (3/2)) / 13

(dd/dt) = 36/26

(dd/dt) = 18/13 cm/min

Therefore, the rate at which the diagonal of the rectangle is increasing is 18/13 cm/min.

Learn more about rate of change here:

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Answer:

Make x equal 0 in the equation of the graph (the equation in the form of y=mx+b)

Step-by-step explanation:

Then, solve the equation for y.

Answer:

The bag will make 432 pieces of popcorn.

Step-by-step explanation:

From the information given, you know that the bag has an average of 450 kernels and that 4% don't pop. So, with this information you can find the pieces of popcorn that the bag will made by calculating 4% of the average number of kernels in a bag and subtracting the result from that amount:

450*4%=18

450-18=432

According to this, the answer is that the bag will make 432 pieces of popcorn.

Answer:

1 g-h

2 g^2-h

3 gh

4 g+h

5 h-g

6 g+h^2

Step-by-step explanation:

Answer:

Step-by-step explanation:

The set up will give a right angled triangle where;

Base of the triangle = 90 ft (distance of the offshore from the base of the house)

theta = 26 degrees (angle of elevation)

Height of the house will be the opposite side = x

Using the TOA trig identity;

tan 26 = opp/hyp

tan 26 x/90

x = 90tan 26

x = 90(0.4877)

x = 43.89 ft

Hence the nearest height of the house is 44ft

Answer:

Exact Form:

557/24

Decimal Form:

23.208¯3

Mixed Number Form:

23   5/24

Step-by-step explanation:

Convert the mixed numbers to improper fractions, then find the LCD and combine.

Step-by-step explanation:

There are 12 white tiles surrounding 3 green tiles, and 16 white tiles surrounding 5 green tiles.

Common difference = (16-12)/(5-3) = 2.

Hence number of white tiles = 2n + 6.

Step-by-step explanation:

2.

(13y)° and (8x+y)° are supplementary angles on a straight line therefore:

13y+8x+y=180°

14y+8x=180°——equation 1

Again,

(13y)° and (20x+3y)° are corresponding angles therefore are equal so:

13y=20x+3y

13y-3y-20x=0

10y-20x=0——equation 2

Now we find the value of x and y using the system of equations

Thus,we solve :

14y+8x=180°

10y-20x=0

Solving them,x=5 and y=10

3.We use the same approach for this

3(x+y)° and 5x are corresponding angles and are equal therefore:

3x+3y=5x

3x-5x+3y=0

-2x+3y=0——equation 1

Again,(5x)° and (4x-9)° are supplementary angles on a straight line so:

5x+4x-9=180

9x-9=180°

9x=180+9

9x=189°

x=21

Plug in the value of x into equation 1 for y

-2x+3y=0

-2(21)+3y=0

-42+3y=0

3y=42

y=42/3=14

So x is 21 and y is 14

Answer:

Step-by-step explanation:

From the given attachment to the question, the following can be deduced.

1. M is the midpoint of GH, given that M is the definition of midpoint.

2. GM ≅ MH, given that x = 2. So that,

GM = 5x = 5(2)

      = 10

MH = 3x + 4 = 3(2) + 4

      = 10

Thus, GM ≅ MH

3. GM = MH is the definition of congruence. This implies that they are similar.

4. 5x = 3x + 4, by substitution property of equality.

Since, x = 2 then;

5(2) = 3(2) + 4

10 - 10

5. 2x = 4, given that x = 2.

6. GH = GM + MH, by division property of equality.

Answer:

50

Step-by-step explanation:

35/7= 5

5*10=50

Answer:

50 people in the choir

Step-by-step explanation:

we can solve for x, assuming x is the value in which 1 is on the ratio. 7x=35, so the value of x would be 5. Next, we must multiply x by 3 since that is what the ratio states. If we do this, we will get 5*3, or 15. Therefore, there are 15 boys in the choir. Last, we have to add 15+35 to get the total number of people in the choir. There are 50 people in the choir.

Hope this helps! :)

(Also i know my explanation is rly bad just ignore it)