What is the equation of the line that is perpendicular to the line y = 2x + 5 and
passes through the point (-4, 2)?

Answer:

x = 3/2

Step-by-step explanation:

Given:

9 - 4x = 2x

Step 1: Addition property of equality

9 - 4x + 4x = 2x + 4x

9 = 6x

Step 2: Division property of equality:

9 = 6x

9/6 = 6x/6

9/6 = x

x = 9/6

= 3/2

x = 3/2

Check:

9 - 4x = 2x

9 - 4(3/2) = 2(3/2)

9 - 12/2 = 6/2

9 - 6 = 3

3 = 3

5a+2b-3a+4

= (5a-3a)+2b+4

= 2a + 2b + 4

Answered by Gauthmath must click thanks and mark brainliest

Answer:

B = 64°

AB = 33.378

BC = 14.632

Step-by-step explanation:

Given the right angled triangle ;

Angle B = 180 - (90 + 26) (sum of angles in a triangle)

Angle B = 180 - 116

Angle B = 64°

Side AB = c

Using trigonometry :

Sin B = opposite / hypotenus

Sin 64 = 30/AB

AB = 30 / Sin64

AB = 33.378

Side BC ;

Sin A = BC / AB

Sin 26 = BC / 33.378

BC = 33.378 * Sin 26

BC = 14.632

Answer:

634806 km travelled by the Moon as it orbits 2.62 radians about the Earth.

Step-by-step explanation:

convert to pi.

Answer:

Step-by-step explanation:

The enlargement of a comic will be very similar to the original. Everything is larger but in the same proportion. The difference is if the original is enlarged so much that the individual pixel in the original comic becomes visible; causing the enlargement to be "pixelated."

If a comic is drawn using a grid, that may reduce pixelation because you can line up things with the grid.

If the comic's size is reduced, then again it will look similar but everything is smaller and in the same proportion. There will not be any pixelation effect.

Answer:

What I DONT KNOW

Step-by-step explanation:

Answer:

A

Step-by-step explanation:

4(1)+4(9x)=4+36x

Answer:

660

33 / 3 = 11 per minute

60 minutes in an hour = 11 * 60 = 660

Step-by-step explanation:

Answer:

trapezoid is the right answer

Answer:
Based on what I got correct; the correct answer should be:

equilateral triangle

regular octagon

rectangle

and square.

Hope this helps :)

Answer:

[tex]y = -6x + 1[/tex]

[tex]y = 6x - 2[/tex]

[tex]y = -2x + 4[/tex]

[tex]y = x + 6[/tex]

Step-by-step explanation:

Given

See comment for missing part of the question

Required

The equation in slope intercept form

A linear equation is of the form:

[tex]y = mx + b[/tex]

(a) m = -6, b =1

Using the above format, we have:

[tex]y = -6x + 1[/tex]

(b) m =6, b = -2

[tex]y = 6x - 2[/tex]

(c) m = -2, b = 4

[tex]y = -2x + 4[/tex]

(d) m = 1, b = 6

[tex]y = x + 6[/tex]

Answer:

X = 18

Y = 9√3

Step-by-step explanation:

use sin equation for right angle triangle

The sine of the angle

= ( the length of the opposite side ÷ the length of the hypotenuse.)

according to this question,

sin 30 = 9 / X

1/2 = 9 / X

X = 18

use cosine to find y

The cosine of the angle

= (the length of the adjacent side ÷ the length of the hypotenuse.)

cos 30 = y/x

√3/2 = y/ 18

y = 9 ✓3

Answer

3.0/5

33

nickhollandmck

Ambitious

26 answers

1.7K people helped

Answer:

A: We know that the confidence interval is 0.22 ± 0.04, this equals .22 plus .04, .22 minus .44, or (.18,.26). Because of the fact that .25 is in the range of (.18,.26), there is no statistical evidence that the program is not working as intended.

B: As we established earlier, .25 is within the range of (.18,.26). This means that there is statistical evidence that the program makes the discount with a .25 probability.

C: To solve this problem, we need to use the margin of error formula. The margin of error formula is z times the square rout of p-hat times 1 minus p hat over n. From this formula we see that the me is inversely proportional to the square rout of the sample size. Because this is the case, the new me value is determined by dividing the old me value by 2 because of the fact that the proportion of p is 22%. This means that the new me is equal to .04/2, which equals .02, which means that the new margin of error is .02.

D: We know using the new me that the new CI is .22 ± .02. This also equals .22 plus .02, .22 minus .02, or (.2,.24) Because .25 is not within the range of (.2,.24), there is not statistical evidence that the program is working as intended.  

Step-by-step explanation:

Your welcome

TyrantMC

Answer:

Answer

3.0/5

33

nickhollandmck

Ambitious

26 answers

1.7K people helped

Answer:

A: We know that the confidence interval is 0.22 ± 0.04, this equals .22 plus .04, .22 minus .44, or (.18,.26). Because of the fact that .25 is in the range of (.18,.26), there is no statistical evidence that the program is not working as intended.

B: As we established earlier, .25 is within the range of (.18,.26). This means that there is statistical evidence that the program makes the discount with a .25 probability.

C: To solve this problem, we need to use the margin of error formula. The margin of error formula is z times the square rout of p-hat times 1 minus p hat over n. From this formula we see that the me is inversely proportional to the square rout of the sample size. Because this is the case, the new me value is determined by dividing the old me value by 2 because of the fact that the proportion of p is 22%. This means that the new me is equal to .04/2, which equals .02, which means that the new margin of error is .02.

D: We know using the new me that the new CI is .22 ± .02. This also equals .22 plus .02, .22 minus .02, or (.2,.24) Because .25 is not within the range of (.2,.24), there is not statistical evidence that the program is working as intended.  

The required area of the figure is 5 square yards.

Area of rectangle is defined as product of the length and width.

Suppose a rectangle and a square has been removed from rectangle.

Length of rectangle = 3  yards

Width of rectangle 2 yards

Length of square = 1 yards

Area of rectangle = 3 × 2 = 6 square yards

Area of square = 1 × 1 = 1 square yards

The required area of the figure = area of rectangle - area of square

Substitute the values

The required area of the figure = 6 - 1

The required area of the figure = 5 square yards

Hence, the required area of the figure is 5 square yards.

Learn more about Area of rectangle here:

brainly.com/question/20693059

#SPJ2

Answer:

44/3 degrees

Step-by-step explanation:

Angle CBD = 180 - (64 + 72) = 44

Angle ADB = 44/3 (Since of the ratio)

Answer:

2 + sqrt(3)

Step-by-step explanation:

Roots that contain square roots come in pairs

If there is a root that is a- sqrt(b), there is a root that is a+ sqrt(b)

2 -sqrt(3) means there is a root 2 + sqrt(3)

Answer:

-5/13

Step-by-step explanation:

sin theta = opp / hyp

sin theta = -12 /13

we can find the adj side by using the pythagorean theorem

adj^2 + opp ^2 = hyp^2

adj^2 +(-12)^2 = 13^2

adj^2 +144 =169

adj^2 = 169-144

adj^2 = 25

Taking the square root of each side

adj = ±5

We know that it has to be negative since it is in the third quad

adj = -5

cos theta = adj / hyp

cos theta = -5/13

Answer:

B) -5/13

Step-by-step explanation:

i hope it will help

plzz mark as brainliest if you want

Step-by-step explanation:

mA=cosA=17/38

A=cos inverse of 17/38

A=63 degrees

Answer:

x=1

Step-by-step explanation:

3x+9 = 12

Subtract 9 from each side

3x+9-9=12-9

3x = 3

Divide by 3

3x/3 = 3/3

x=1

Hi there!  

»»————-　★　————-««

I believe your answer is:  

[tex]x = 1[/tex]

»»————-　★　————-««  

Here’s why:  

⸻⸻⸻⸻

[tex]\boxed{\text{Calculating the answer...}}\\\\3x + 9 = 12\\-------------\\\rightarrow 3x + 9 - 9 = 12 - 9\\\\\rightarrow 3x = 3\\\\\rightarrow \frac{3x=3}{3}\\\\\rightarrow \boxed{x=1}[/tex]

⸻⸻⸻⸻

»»————-　★　————-««  

Hope this helps you. I apologize if it’s incorrect.  

Answer:

264 Km²

Step-by-step explanation:

cross sectional perimeter of the triangular prism= 9+8+7= 24Km

now,

total surface area= C.S.P × height of the figure

= 24 × 11

= 264 km²

Answer: ~27.5

Step-by-step explanation:

I don't know about all the geometry terms, but since a line is 180°, and SE makes 1 right angle (90°), the other side is also 90° (180-90=90).

This means you have a right triangle with sides 15 and 23 and unknown hypotenuse AS.

Pythagorean Theorem: a^2 + b^2 = c^2

(15^2) + (23^2) = AS^2

sqrt( 225 + 529 ) = AS

AS = 27.459

Answer:

c 0.28 m

Step-by-step explanation:

A construction worker uses a tape measure to find that a pipe is 28/100 of a meter long. Select the decimal that represents the same length.

a 1.28 m

b 2.8 m

c 0.28 m

d 0.028 m

Given:

Length of the pipe in fraction = 28/100

What is the equivalent length in decimal?

28/100

How many hundred can you get in 28

= 0. Remainder 28

Add 0 to 28 which makes it 280

How many hundred can you get in 280

= 2 remainder 80

Add 0 to 80 which makes it 800

How many hundred can you get in 800

= 8 remainder 0

Bring all the quotient together

Therefore,

28/100 m = 0.28 m

Answer:

10 or -2 (Both work)

Step-by-step explanation:

Solve the equation |x - 4| = 6:

|x - 4| = 6

Now do the inverse operation of negative 4 to get positive 4.

|x - 4| = 6

  + 4  + 4

|x| = |10|

x = 10

Answer:

x = 41°, y = 139°

Step-by-step explanation:

The given parameters are;

Line m is parallel to line n and lines m and n have a common transversal

The corresponding angles formed by the common transversal to the two parallel lines are 41° on line m and x° on line n

Therefore, x° = 41° by corresponding angles formed between on two parallel lines by a common transversal are equal

x° and y° are linear pair angles and they are, supplementary

∴ x° + y° = 180°

∴ x° + y° = 41° + y° = 180°

y° = 180° - 41° = 139°

y° = 139°.

The question is incomplete, the complete question is;

A factory produces 1,250,000 toys each year. The number of toys is expected to increase by about 150% per year. Which model can be used to find the number of toys being produced, n (in millions), in t years?

A. n= 2.5(1.5)/t, t cannot = 0

B. n= 1.5t^2 + 1.25

C. n= 1.5t + 1.25

D. n= 1.25(2.5^t)

Answer:

D. n= 1.25(2.5^t)

Step-by-step explanation:

This is an exponential growth problem. In mathematics, for an exponential growth problem;

P = Po(1 + r)^t

Where;

P= amount at time t

Po =initial amount

r= rate

t= time

In the context of the question we have;

n= 1.25(1 + 150/100)^t

n= 1.25(2.5)^t

Answer:

108 degrees

Step-by-step explanation:

The formula for the total sum of the angles in any REGULAR shape is

[tex](n-2) * 180[/tex],  where n represents the number of sides.

The shape in the picture shown is a pentagon (5 sides).

[tex](5-2) * 180\\[/tex]

[tex]3 * 180[/tex]

= [tex]540[/tex]

So the angle sum is 540 degrees.

Again, we are told that it is a regular polygon, meaning all sides and angles in the shape are equal.

So to find one angle, just divide it by the number of sides.

[tex]540/5 = 108[/tex]

Answer: 108 degrees

Step-by-step explanation:

Answer:

1011

Step-by-step explanation:

3x^2 + 2y^2 x^2 - 2y^2

3(7)^2 + 2(3)^2 3^2 - 2(7)^2

3(7^2 + 2 x 3 x 7^2 - 2 x 3)

3(7^2 +6 x 7^2 - 6)

3(7 x 7^2 - 6)

3(7^3 - 6)

3(343 - 6)

3(337) = 1011

​

Answer:

simultaneous equations

Step-by-step explanation:

phils age =7x

Peter age=x

scenario 2

phils age = 4(7x)

Peter age= 2x-2

[tex]7x + x = 4(7x) + 2x - 2[/tex]

Answer:

Experimental group

Step-by-step explanation:

During the process of a research study whereby the participants or subject are divided into groups such that some are exposed to the independent variable or treatment while the other subjects are used as control for the study, The group of participants which are exposed or given the actual treatment or independent procedure are called the experimental group. In the scenario above, experimental group are the group of students which were given caffeinated coffee which is the independent variable in this case.

Step-by-step explanation:

The easiest way to do this is to imagine the microwave as a box. Ignore the turntables, whether or not something will spin if it touches an edge, and anything else that would make the fact that we're talking about a microwave confusing. This is a box now. :)

The capacity of our box is 1.59 ft^3, which means it can hold that much of "things" inside it. Instead of a capacity, we'll think of it as the box's total area. A tricky thing to note, is the area is given in ft, where the interior values are given as inches. So we'll need to turn the inches into feet.

To get the area of a box, we do length x width x height.

We're already given the length, 14 (inches), and the width, 14 (inches), so all we need to find now is the height (feet). To turn the lengths into feet, we'll divide them by 12, because there are 12 inches in 1 foot, or Feet = Inches / 12.

To finally turn it into math:

Area (A) = length (L) * width (W) * height (H)

[tex]A = L * W * H[/tex]

Insert known values.

[tex]1.59 = \frac{14}{12} * \frac{14}{12} * H[/tex]

Multiply.

[tex]1.59 = \frac{196H}{144}[/tex]

Simplify.

[tex]1.59 = \frac{49H}{36}[/tex]

Multiply both sides by 36.

[tex]1.59*36 = \frac{49H}{36}*36[/tex]

Simplify.

[tex]57.24 = 49H[/tex]

Divide both sides by 49.

[tex]\frac{57.24}{49} = \frac{49H}{49}[/tex]

Simplify.

[tex]1.16816326... = H[/tex]

To turn make this the nearest Tenth, we round up to the first decimal place.

Answer:

H = 1.2 ft