Two negative integers are 5 units apart on the number line, and their product is 126. What is the sum of the two
integers?
-23
-5
9
14

Answer:

(3,2)

Step-by-step explanation:

A: (3,2)

Since A lies on the mirror line, it will mapped onto itself

A': (3,2)

The required coordinate of image A' is given as (3, 2). Option B is correct.

Coordinate, is represented as the values on the x-axis and y-axis of the graph. while the coordinate x is called abscissa and the coordinate of the y is called ordinate.

Here,

The Coordinate of A is (3, 2) and the equation of a line is x = 3, since
Point A lies on line x = 3, so the image of the point overlapped the original point. Although the coordinate of the image A' is given as (3, 2)

Thus, the required coordinate of image A' is given as (3, 2). Option B is correct.

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Answer:

(2pi)/5

Step-by-step explanation:

The cosine function cos(x) has a period of 2*pi.

If we change the argument of the cosine, the new argument will have a period of 2*pi. If the new argument is 5x, we have that the period will be:

5x = 2*pi

x = 2*pi/5

The period of this function will be (2pi)/5, because for every (2pi)/5 change in the value of x, the function will have the same value. The value of 5 multiplying the cosine does not interfere in the period.

Answer:

3 and 6

Step-by-step explanation:

hello

i hope it help

Answer:

0 and 0.695

Step-by-step explanation:

0=(0.695)- 14= 0.95

Answer:

72 ft²

Step-by-step explanation:

base=9

height=8

9*8=72

Area of parallelogram= base*height

Answer:

O 72 ft²

Step-by-step explanation:

Formula for Area of a Parallelogram:

[tex]A = bh[/tex]

The base (b) is 9 ft.

The height (h) is 8 ft.

[tex]A = 9 * 8\\A = 72[/tex]

Answer:

3 hours and 16 minutes or 3.16 for Frank to finish the race

Step-by-step explanation:

60 miles long Frank is going 19 miles an hour

60 divided by 19 3.157 rounded up 3.16

Using the distance and speed, we calculate the time it takes for Frank to complete the bike race. He averages a speed of 19 miles per hour for a 60-mile race, which means it will take him approximately 3.16 hours to finish.

This question is about solving a typical problem in math - specifically, calculating time with information on distance and speed. To figure out how long it would take Frank to finish the 60-mile bike race, we use the formula Time = Distance / Speed. Given that Frank averages a speed of 19 miles an hour, we divide the total distance (60 miles) by his average speed (19 mph).

So, 60/19 ≈ 3.16. That means Frank will take approximately 3.16 hour to complete the bike race.

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Answer:

94cm squared

Step-by-step explanation:

you find the area of each side by doing base times height and you add the six of them all together to get your answer

Answer:

94 cm

Step-by-step explanation:

Answer: -3.25

Step-by-step explanation:

2.6-(5.85)

remove parentheses

2.6-5.85

answer: -3.25

Answer:

63

Step-by-step explanation:

She finds her average resting heart rate to be 62 after  5 days.

That means, average of the 5 heart rate pulse=62

If the last day was 58 and all the other days were the same.

Let x be her pulse on the other days,

Then,

[tex]Average, 62=\dfrac{58+4x}{5}\\\text{Cross Multiply}\\58+4x=62 X 5\\\text{Suntract 58 from both sides}\\4x=(62X5)-58\\4x=310-58\\4x=252\\\text{Divide both sides by 4}\\x=63[/tex]

Her pulse on all the other days is 63.

The height of the skyscraper is 34.4m

Step-by-step explanation:

Let the height of the skyscraper be 'h'

Distance between the skyscraper and the car = 62 m

Angle of depression = 29°

Angle = 61°

tan 61° = 62/h

1.80 = 62/h

h = 62/1.80

h = 34.4m

The height of the skyscraper is 34.4m

To find how many projects can be completed, divide the total amount of clay Mrs. Kenny has by the amount of clay required for each project. However, the question seems to be missing the values for the total amount of clay and the amount required per project.

Mrs. Kenny is teaching a ceramics class where she uses clay for her projects. As stated, it seems there is a portion of the question omitted which is the number of pounds of clay Mrs. Kenny has and the amount required for each project. Ideally, the number of projects Mrs. Kenny can complete is determined by dividing the total weight of the clay she has by the weight of clay required for each project. For instance, if Mrs. Kenny has 3 pounds of clay and each project requires 1/2 pound of clay, she would be able to complete 6 projects (3 divided by 1/2 = 6).

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Answer:

2

Step-by-step explanation:

You can think of logarithms as a rewritten exponent.

So exponents are in the form of a^b=c

Logarithms are [tex]log_a c=b[/tex]

Here, we have [tex]log_{5} 25[/tex]

Basically we have to figure out 5 to the power of what is 25.

So our answer is 2.

5^2=25

The value of log5 25 is 2, as 5 to the power of 2 equals 25.

The value of log₅ 25 is determined by asking the question: 'to what power do we need to raise 5 to get 25"

Since 5 squared is 25 (5² = 25).

The power of 5 is 2.

Therefore, log₅ 25 = 2

Answer:

C

Step-by-step explanation:

I remember the answer

Answer:

The y intercept is 80 and the line of the best fit is -3/5

Step-by-step explanation:

The y intercept of the line of best fit is 80 miles with a slope of -0.6 mile per minute

An equation is an expression that shows the relationship between two or more numbers and variables.

From the graph, the y intercept is 80 miles. The line passes through (0, 80) and (100, 20), hence:

slope = (20 - 80) / (100 - 0) = -0.6 mile per minute

The y intercept of the line of best fit is 80 miles with a slope of -0.6 mile per minute

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Answer:

1/4 clove

Step-by-step explanation:

Each serving of Nancy's spaghetti and meatballs recipe contains a quarter (or 0.25) of a garlic clove.

In the given scenario, Nancy's spaghetti and meatballs recipe asks for 2 cloves of garlic and yields 8 servings. Hence, to find out the amount of garlic in each serving, we need to divide the total cloves of garlic by the number of servings. Hence,

Garlic per serving = Total garlic / Number of servings

Here's how to do the math:

Garlic per serving = 2 cloves / 8 servings = 0.25 cloves per serving

So, there is 0.25 or a quarter of a garlic clove in each serving of Nancy's spaghetti and meatballs recipe.

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Answer:

[tex]-1,0,1,[/tex]

Step-by-step explanation:

x²≤3

|x|≤√3

Hence, $x\leqslant \sqrt 3$ or $ x\geqslant -\sqrt 3$

Answer:

8 feet

Step-by-step explanation:

Answer:

So when two lines intersect, it creates 4 angles. The angles that lie opposite to each other are congruent

If you know the measure of one angle in a linear pair, you can find the measure of the other because the sum of the measure of the two angles is 180 degrees. If you know the measure of one angle in a pair of vertical angles, you can find the measure of the other because they are congruent.

Step-by-step explanation:

Answer:

-12

Step-by-step explanation:

I try to think of it as how many steps would I need to get to zero

-12  would take 12 steps to get to 0

7 would take 7 steps to get to 0

-9 would take 9 steps to get to 0

1 would take 1 step to get to 0

-12 would take the most steps to get to 0 so it is the farthest from 0 on the number line

Answer:About 60%

Step-by-step explanation:

Answer:

.15

Step-by-step explanation:

0.83 = 0.72 + 0.26 - P(R and C)

P(R and C) = 0.15.

Given:

The height of the given trapezoid = 6 in

The area of the trapezoid = 72 in²

Also given, one base of the trapezoid is 6 inches longer than the other base

To find the lengths of the bases.

Formula

The area of the trapezoid is

[tex]A=\frac{1}{2} (b_{1} +b_{2} )h[/tex]

where, h be the height of the trapezoid

[tex]b_{1}[/tex] be the shorter base

[tex]b_{2}[/tex] be the longer base

As per the given problem,

[tex]b_{2}=b_{1} +6[/tex]

Now,

Putting, A=72, [tex]b_{2}=b_{1}+6[/tex] and h=6 we get,

[tex]\frac{1}{2} (b_{1} +b_{1}+6)(6) = 72[/tex]

or, [tex]b_{1}+b_{1}+6 = \frac{(72)(2)}{6}[/tex]

or, [tex]2b_{1}+6 = 24[/tex]

or, [tex]2b_{1}=24-6[/tex]

or, [tex]b_{1}= \frac{18}{2}[/tex]

or, [tex]b_{1}=9[/tex]

So,

The shorter base is 9 in and the other base is = (6+9) = 15 in

Hence,

One base is 9 inches for one of the bases and 15 inches for the other base.

Answer:

1

Step-by-step explanation:

x² + 5x-5

Let x = -6

(-6)^2 + 5(-6) -5

36 -30 -5

6-5

1

To evaluate the expression x² + 5x - 5 for x=-6, substitute -6 into the expression and follow the order of operations to obtain a result of 1.

Therefore, the value of the expression when x = -6 is 1.

Answer:

25

Step-by-step explanation:

The distance between the two points A and C is 25 units.

A coordinate plane is a 2D plane created by the junction of the x-axis and y-axis, two perpendicular lines. A coordinate system in geometry is a way to use one or more integers or coordinates to determine the positions of the points.

Given points are (5, 20) and (25,5). The distance between the points will be calculated as below:-

D = √ [ ( y₂ - y₁ )² + ( x₂ - x₁ )² ]

D = √ [ ( 25 - 5 )² + ( 20 - 5)² ]

D = √ ( 400 + 225 )

D = 25 units

Therefore, the distance between points A and C is 25 units.

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Answer:

-3

Step-by-step explanation:

Negative reciprical

Answer:

d

Step-by-step explanation:

Answer:

$264.75

Step-by-step explanation:

47*5=235

5.95*5=29.75

29.75+235=264.75

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Answer:

$264.75

Step-by-step explanation:

You multiply 47 to 5, because it's 5 tickets and $47 each. You should get $235. Then, you multiply 5 and 5.95. you should get $29.75. Then you add 29.75 to 235. Your final answer is $264.75.

Answer:

the answer is .143728353

Step-by-step explanation:

answer