Which of the following equations contains the point (8,5) and is perpendicular to the line y=2x-3

Answers

Answer 1

Answer:

y = - [tex]\frac{1}{2}[/tex] x + 9

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

y = 2x - 3 ← is in slope- intercept form

with slope m = 2

Given a line with slope m then the slope of a line perpendicular to it is

[tex]m_{perpendicular}[/tex] = - [tex]\frac{1}{m}[/tex] = - [tex]\frac{1}{2}[/tex], thus

y = - [tex]\frac{1}{2}[/tex] x + c ← is the partial equation

To find c substitute (8, 5) into the partial equation

5 = - 4 + c ⇒ c = 5 + 4 = 9

y = - [tex]\frac{1}{2}[/tex] x + 9 ← equation of line


Related Questions

The product of 6287×543 = 3,413,841 . What is the value of 628.7×5.43

Answers

Answer:

3,413.841

Step-by-step explanation:

you times 628.7 by 5.43 and then you get your answer

Answer:

3413.841

Step-by-step explanation:

A. 18 is 20 percent of what number? B. 15 is 25 percent of what number? C. 12 is 30 percent of what number? D. 24 is 40 percent of what number? E. 39 is 60 percent of what number? F. 78 is 30 percent of what number? Question: Represent each as an equation with x as the unknown number, and solve.

Answers

Answer:

18=x*.20

15=x*.25

12=x*.30

24=x*.40

39=x*.60

78=x*.30

Step-by-step explanation:

To solve for x on each, divide the number on the left of the equal side by the number x is being multiplied by.  For example, 18/.20=x

Answer:

a. 90

b. 60

c. 40

d. 60

e. 65

f. 260

Step-by-step explanation:

a. 18*100= 1800/20=90

b. 15*100= 1500/25= 60

c. 12*100= 1200/30= 40

d. 24*100= 2400/40= 60

e. 39*100= 3900/60=65

f. 78*100= 7800/30= 260

In the diagram of circle O, mNQM  103 . If the measure of LP is 30 more than the measure of MN ,  then determine the measure of MN . Show how you arrived at your answer.

Answers

Answer:

The measure of arc MN is 88 degrees

Step-by-step explanation:

The complete question in the attached figure

we know that

The measure of the interior angle is the semi-sum of the arches that comprise it and its opposite

so

[tex]m\angle NQM=\frac{1}{2}(arc\ MN+arc\ LP)[/tex]

we have

[tex]m\angle NQM=103^o[/tex]

substitute

[tex]103^o=\frac{1}{2}(arc\ MN+arc\ LP)[/tex]

[tex]206^o=arc\ MN+arc\ LP[/tex] ----> equation A

Remember that

The measure of arc LP is 30 degrees more than the measure of arc MN

so

[tex]arc\ LP=arc\ MN+30^o[/tex] ----> equation B

substitute equation B in equation A

[tex]206^o=arc\ MN+arc\ MN+30^o[/tex]

[tex]2arc\ MN=206^o-30^o\\2arc\ MN=176^o\\arc\ MN=88^o[/tex]

The measure of MN is 88 degrees

Circle geometry

From the diagram shown, the formula expressed below will be used to determine the measure of MN.

<NMQ = 1/2(arcLP + arcMN)

If the measure of LP is 30 degrees more than the measure of MN, then;

arcLP = 30 + arcMN

<NMQ = 1/2(30 + arcMN + arcMN)

2(103) = 30 + 2arcMN

206 - 30 = 2arcMN
arcMN = 88 degrees

Hence the measure of MN is 88 degrees

Learn more on circle geometry here: https://brainly.com/question/26594685

A scooter travels 10 miles per hour faster than an electric bicycle. The scooter traveled for 3 hours, and the bicycle traveled 5 1/2 hours. Altogether, the scooter and bicycle traveled no more than 285 miles. Find the maximum speed of each.


Please help someone ASAP!!

Answers

Answer:

Bicycle: 30 miles/hour

Scooter: 40 miles/hour

Step-by-step explanation:

Let the speed of the bicycle be s,

Then the speed of the scooter is:

s + 10

Distance = speed × time

Distances covered:

Bicycle: (s)(5½) = 5.5s

Scooter: (s + 10)(3) = 3s + 30

Total:

5.5s + 3s + 30

8.5s + 30

8.5s + 30《285

8.5s《255

s《30

s + 10《40

When two lines intersect outside a circle to form angle D, the general formula for the measure of angle D is

angle D= 1/2(mx-my). where x and y are intercepted arcs. This formula can be used when two secants form angle D. Describe

two other situations to which this formula can apply.

Answers

Answer:

The three situations that the formula can be applied to include two secants intersecting the circle, a secant and a tangent intersecting the circle, and two tangents intersecting the circle. All three types of situations contain two lines intersecting to form an angle, as well as two intercepted arcs.

Step-by-step explanation:

Find the area of the shape shown below.
units?

Answers

Answer:28 units sq

Sorry forgot to divide by 2 on triangle 16+8+4=28

Step-by-step explanation:

Solve: (3√8x - 2 )= 4
To solve this equation, first
_____both sides.
x =_____

Answers

Answer:

Add 2 to each side

x=1/2

Step-by-step explanation:

(3√8x - 2 )= 4

Add 2 to each side

(3√8x - 2 +2= 4+2

3√8x = 6

Divide each side by 3

3/3√8x = 6/3

√8x = 2

Square each side

(√8x)^2 = 2^2

8x = 4

Divide each side by8

8x/8 = 4/8

x = 1/2

Answer:

Cube is the correct answer

Step-by-step explanation:

find the diameter and radius of a circle with and 18 inch circumference

Answers

Step-by-step explanation:

[tex]2 \times \pi \: \times r = 18 \\ \frac{2\pi \: r}{2\pi} = \frac{18}{2\pi} \\ r adius= 2.86in \\ diameter = 5.72in[/tex]

Answer: radius= 2.866

Diameter = 5.732

Step-by-step explanation:

Circumference of a circle is 2pir

Circumference = 2pir

Circumference =18inch

18=2pir

Pi= 3.14

18= 2×3.14×r

R= 18/2×3.14

R= 2.866

R= ~3inches

Diameter = 2radii

Diameter= 2×radius

Diameter = 2×2.866

Diameter = 5.732

Diameter = ~6

Find the value of x such that the data set has the given mean. 102, 119, 107, 115, 110, x; mean 117

Answers

Final answer:

To find the value of x that results in a mean of 117 for the data set, sum the known values, multiply the mean by the total number of data points, and solve the resulting equation. In this case, the value of x is 149.

Explanation:

The question asks us to find the value of x so that the mean of the data set 102, 119, 107, 115, 110, and x is 117. To calculate the mean of a data set, you sum all the values and divide by the number of values.

First, we sum the known values: 102 + 119 + 107 + 115 + 110 = 553. Since the mean is given to be 117 and we have 6 values including x, the total sum of all the values should be 117 times 6, which is 702. Now we set up the equation to solve for x: 553 + x = 702.

To find x, subtract 553 from both sides of the equation:

553 + x - 553 = 702 - 553

x = 149

Therefore, the value of x that makes the mean of the data set 117 is 149.

Find the value of k. The diagram is not to scale.
108
101
72
50

Answers

Answer:

108

Step-by-step explanation:

I need help with number 5 please

Answers

Answer: Would be 55% I hope this helps!

Answer:

55% of the actors are between the ages of 10-12.

Step-by-step explanation:

1. Add all of the frequencies

8+22+10=40

2. Divide the certain frequency by the total amount

22/40=0.55

3. Multiply by 100

0.55*100= 55%

In a poll of Mr. Briggs's math class, 67% of the students say that math is their favorite academic subject. The editor of the school paper is in the class, and he wants to write an article for the paper saying that math is the most popular subject at the school.

A. Explain why this is not a valid conclusion

B. Suggest a better method of determining what subject is most popular

Answers

Answer:

this would not not be a valid conclusion because only that class was included In the poll not the entire school. Another method to determine the most popular subject is to include every class(the entire school)in the poll

Answer:

1) biased sample

2) random sampling

Step-by-step explanation:

Since the results are based on feedback of students in only one class, it's not a good representative of the entire student body.

Also, since it's a math class there will be a bias.

Better method would be randomly selecting students from the entire school students list and take their feedback

Rewrite 100,000 as a power of 10

Answers

10^4=100,000
Hope this helps :)

Answer:

10⁵

Step-by-step explanation:

100000 = 10⁵

The area of a square is 81 Square
units. Find the length of a side.

Answers

Answer:

9 units

Step-by-step explanation:

To find the length of a side of a square, you need to square root the area

√81 = 9

Final answer:

The length of a side of a square with an area of 81 square units is found by taking the square root of the area, which is 9 units.

Explanation:

To find the length of a side of a square whose area is 81 square units, we use the formula for the area of a square, which is side length squared ([tex]s^2[/tex]). To solve for the side length, we take the square root of the area.

The area in this case is 81 square units, so the side length 's' will be:

√81 = 9 units

Therefore, the length of a side of the square is 9 units.

ANSWER TODAY PLEASE AND THANK YOU. It is 2:08 pm here.

Answers

Answer:

Step-by-step explanation:

2 1/2; 4

5/2; 4

100/8

25/4

6 1/4

What is 0.9002 as a percent

Answers

Answer:

90% or 90.02%

Step-by-step explanation:

multiply by 100 to get it as a percent

Answer:

[tex]\huge\boxed{0.9002=90.02\%}[/tex]

Step-by-step explanation:

[tex]p\%=\dfrac{p}{100}\to p=p\cdot100\%\\\\0.9002=0.9002\cdot100\%\qquad\text{move the decimal two place to the right}\\\\=90.02\%[/tex]

Which products result in a difference of square or perfect square trinomial? Plzzz help quick!!

Answers

Answer:

perfect square: 2, 5difference of squares: 1, 6

Step-by-step explanation:

If the two factors are identical, their product will be a perfect square.

If one of the factors is the difference of terms that are summed in the other factor, the product will be the difference of squares.

  (a +b)(a -b) = a² -b² . . . . . matches the 1st and 6th choices

  (a +b)(a +b) = (a +b)² . . . . matches the 2nd and 5th choices

Answer:

1, 2, 5 & 6  on ED2020

Box 1       (5X+3)(5X-3)

Box 2      (7X+4)(7X+4)

Box 3 - NO

Box 4 - NO

Box 5      (X-9)(X-9)

Box 6      (-3X-6)(-3X+6)

Step-by-step explanation:

Ifn is an odd integer that is less than -3.25,
what is the greatest possible value of n?

Answers

Final answer:

The greatest possible value of an odd integer less than -3.25 is -5.

Explanation:

Odd integers: An odd integer is not divisible by 2 and can be represented as 2n + 1 where n is an integer.

To find the greatest possible value of an odd integer less than -3.25, we need to consider the closest odd integers to -3.25, which are -5 and -3. Since the integer must be less than -3.25, -3 is not an option as it is greater. The next possible odd integer that is less than -3.25 is -5. Therefore, the greatest possible value of n that satisfies the condition is -5.

The composite solid was formed by joining a square pyramid and a rectangular prism. What is the surface area of the composite solid? A rectangular prism with a length of 10 feet, width of 10 feet, and height of 6 feet. A square pyramid with triangular sides with a height of 7 feet.

Answers

Answer:

The surface area of the composite solid = 480 square feet

Step-by-step explanation: Given that the rectangular prism is of length of 10 feet, width of 10 feet, and height of 6 feet.

A square pyramid with triangular sides with a height of 7 feet.

The base of the pyramid = width of the rectangular prism.

Pyramid base = 10 feet

A pyramid has 4 triangular faces

Area of a triangle = 1/2bh

Area = 1/2 × 10 ×7 = 35 square feet

Total surface area = 35 × 4 = 140

Rectangular prism has 6 faces

But we will be calculating for 5 faces

Total surface area = 2(10×6) + 2(10×6) + (10×10)

= 120 + 120 + 100

= 340

The surface area of the composite solid = pyramid surface + rectangular prism surface

= 140 + 340

= 480 square feet

What is 156% of 820? Round to the nearest hundredth (if necessary).

Answers

820 • 156% = 1279.2 jdjsjsijdcbidjejdb

1279.2

Hoping this helps

The angle of elevation of a ladder leaning against a wall is 70°. The base of the
ladder is 1.4 meters from the base of the wall. Find the length of the ladder to the
nearest tenth of a meter. *

Answers

Answer:

Refer to the explanation!

Step-by-step explanation:

We know the the angle where the ladder touches the wall at the top is a 70 degree angle, which must mean that the ladder touching the floor would be a 20 degree angle. This would be OPPOSITE / ADJACENT or TANGENT (TAN).

The TAN(20) = 2.2, when 2.2 is multiplied by the height of the ladder (1.4), you get 3.08 but rounding to the nearest tenth of a meter gives you 3.1m as the length of the ladder.

Answer: 3.1m

The length of the ladder is 4.1 meters.

The ladder and the wall forms a right-angled triangle. The ladder is represented with the hypotenuse of the triangle. The distance of the ladder from the wall is the base of the triangle.

In order to determine the length of the ladder, the acronym SOCAHTOA would be examined. We are to determine the hypotenuse given the adjacent side. So cos would be used.

Cos 70 = adjacent / hypotenuse

cos 70 = 1.4 / h

0.3420 = 1.4/h

h = 1.4 / 0.3420

h = 4.1 meters

A similar question was answered here: https://brainly.com/question/17131959?referrer=searchResults

Please help me quick it’s easy

Answers

Step-by-step explanation:

c???, it cant change the shape of something in a reflection, cause its literally a mirror image

BRAINLIEST PLZ

What kind of angle is 2X?

Answers

Answer:

b

Step-by-step explanation:

Does 10 + 8 and 4 + 4 + 10 equal the same?
Yes
No

Answers

Answer: Yes
Explanation:

If a rectangle that is 13 feet long and 4.3 feet wide is tripled in size, what is the new rectangle’s area?

Answers

Final answer:

The new rectangle formed by tripling the size of the original 13 feet by 4.3 feet rectangle has an area of 503.1 square feet, which is nine times larger than the original area.

Explanation:

To understand the scaling of the area of a rectangle when its dimensions are tripled, we need to recognize that the area of a rectangle is calculated by multiplying its length by its width.

The original rectangle has a length of 13 feet and a width of 4.3 feet, thus the area can be found by multiplying these two dimensions: 13 feet × 4.3 feet = 55.9 square feet.

When we triple both the length and width to create a new rectangle, the new dimensions will be 13 feet × 3 = 39 feet (length) and 4.3 feet × 3 = 12.9 feet (width). To find the new area, simply multiply these new dimensions: 39 feet × 12.9 feet = 503.1 square feet.

Therefore, the area of the new rectangle is 503.1 square feet, which is nine times larger than the original area because the area is proportional to the square of the scaling factor (3² = 9).

If a triangle has angles 45 and 45 degrees, what is the measure of the third angle?

Answers

Answer:

90 or right angle

Step-by-step explanation:

Answer:

90

Step-by-step explanation:

A triangle has to have 180 degrees

so 180 - 90 = 90

What is the mean number of games played?
.
. :
. . : :
4 5 6 7
Games

Answers

6.2 should be correct

Answer:

5.5

Step-by-step explanation:

Mean means the sum of given variables divided by the numbers

So to calculate the mean,it will be

4+5+6+7/4

=22/4

Divide both by

= 11/2

We can actually Leave the answer as 11/2 or we can leave as a decimal form

5.5

So the final answer is 5.5

What’s a multiplication problem that equals to -5

Answers

5*-1

-2.5*2

2.5*-2

-5*1

Answer:

-5*1

-1*5

2.5*-2

-2.5*2

Step-by-step explanation:

A cup and saucer cost $3.10 at the local store. The cup costs $2.00 more than the saucer. How much does each cost?

Answers

Answer: cup is $2.55

Saucer $0.55

Step-by-step explanation:

Cost of cup and saucer is $3.10

Let the cup be x

And saucer be y

I.e

X+y= 3.10......equation 1

Cup which is X is $2 more than the saucer

I.e x=2+y......equation 2

Substitute for X in equation 1

(2+y)+y=3.10

2+2y=3.10

2y=3.10-2

2y=1.10

Y=1.10/2

Y=$0.55

Substitute for y in equation 2

X=2+y

X=2+0.55

X=$2.55

Therefore

The cup is $2.55

The saucer is $0.55

I need help with every question I will give brainliest and everything if you do it thannkkkk uuuuu!

Answers

Answer: 1. 144

2. a

3. 790.05

4. 1.5

5. lenght width and height 4/5 = 24

Step-by-step explanation:

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