A line that includes the point (-8, -7) has a slope of 7. What is its equation in point-slope
form?

Use the specified point in your equation. Write your answer using integers, proper fractions,
and improper fractions. Simplify all fractions.

Answer:

Step-by-step explanation:

The scale factor is 2

Answer:

It is false

Step-by-step explanation:

Answer:

$15

Step-by-step explanation:

25% of 12 is 3 so just add that to the original value

Answer:

$15

Step-by-step explanation:

Multiply the cost by the percentage mark up

12 × 25%

Convert the percentage into a decimal

12 × 0.25

3

Add the mark up to the original price

12 + 3

15

Answer:

Rational numbers are real numbers that can be written in the form of p/q where p,q are integers and q ≠ 0. We use taxes in the form of fractions. When you share a pizza or anything. Interest rates on loans and mortgages.

Answer:

Step-by-step explanation:

Exterior angle is equal to sum of non-adjacent interior angles:

Correct choice is D. 85

Answer:

d

Step-by-step explanation:

Answer:

26.69

Step-by-step explanation:

The question lacks the required diagram. Find the diagram attached

The missing side is x;

From the triangle we are given;

Opposite = x

Hypotenuse = 29

Angle of elevation = 67 degrees

Using the SOH CAH TOA identity;

Sin theta = opposite/hypotenuse;

sin 67 = x/29

x = 29sin67

x = 29(0.9205)

x = 26.69

Hence the length of the missing side is 26.69

All trigonometric ratios of triangle PQR were calculated.

In the given right triangle PQR

PR = 14

QR = 50

So, using Pythagoras' theorem

PQ = 48

Sine of an angle = Opposite side / Hypotenuse

cosine of an angle = Adjacent side/ Hypotenuse

Tangent of an angle = Opposite side/ Adjacent side

So, SinQ = 14/50 =7/25      

CosecQ = 1/SinQ = 25/7

CosQ= 48/50 = 24/25

SecQ = 1/CosQ = 25/24

TanQ = 14/48 = 7/24

CotQ = 1/tanQ = 24/7

SinR=24/25

CosecR = 1/SinR= 25/24

CosR=7/25

SecR = 1/Cosr = 25/7

TanR =24/7

CotR = 1/tanR = 7/24

Thus, All trigonometric ratios of triangle PQR were calculated.

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Corresponding point on a unit circle is equal to [tex]\boldsymbol{\left [ \frac{-\sqrt{3}}{2},\frac{-1}{2} \right ]}[/tex]

So, option C. is correct.

A unit circle is a circle with radius is equal to one.

Any point on a unit circle is of the form [tex]\boldsymbol{\left ( cos\, \theta, \sin\, \theta \right )}[/tex]

Value of [tex]\theta[/tex] is [tex]\boldsymbol{\frac{7\pi}{6}}[/tex]

So, corresponding point on a unit circle is equal to [tex]\boldsymbol{\left [\cos \left (\frac{7\pi}{6} \right ),\sin \left (\frac{7\pi}{6} \right ) \right ]}[/tex]

[tex]\left [\cos \left (\frac{7\pi}{6} \right ),\sin \left (\frac{7\pi}{6} \right ) \right ]=\left [\cos \left (\pi + \frac{\pi}{6} \right ),\sin \left (\pi + \frac{\pi}{6} \right ) \right ][/tex]

                              [tex]=\left [ -cos\left ( \frac{\pi}{6} \right ),-\sin\left ( \frac{\pi}{6} \right ) \right ]\\=\boldsymbol{\left [ \frac{-\sqrt{3}}{2},\frac{-1}{2} \right ]}[/tex]

So, option C. is correct.

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Answer:

f(x)=x+2

Step-by-step explanation:

Pick any two points from the question and plug them into the equation y2-y1/x2-x1. In this case, I picked (0,2) and (1,3). Therefore, the equation will be   3-2/1-0. Simplify this to get 1/1 which is equal to 1. Therefore, the slope is equal to 1. Then pick a point and plug it into the point  slope form equation which is y-y1=m(x-x1) where m is the slope. In this case, I picked (0,2). Therefore, the equation will be y-2=(x-0). Simplify this to get y-2=x. You want to isolate y so you have to add 2 to both sides. This will make the equation y=x+2 which is the answer. Therefore, the answer is y=x+2 or f(x)=x+2.

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Answer:

18

Step-by-step explanation:

8+10=18

hope this helps :)

Answer:

18

Step-by-step explanation:

10+8=18.

Answer:

148

Step-by-step explanation:

148

Answer:

The average rate of change over the given interval is 12

Step-by-step explanation:

Here, we want to calculate the average rate of change over the given interval

Mathematically, we can calculate the average rate of change using the formula below;

f(b) - f(a)/b-a

The f values are same as the y values

Thus, we have it that;

a = 1 and b = 3

f(a) = -5 and f(b) = 19

The average rate of change is thus;

(19-(-5))/(3-1) = 24/2 = 12

Answer:

200

Step-by-step explanation:

each square=40

Answer:

I and II

Step-by-step explanation:

-1/5*-5m + -1/5*10 = m - 2

Answer:

Step-by-step explanation:

Explanation of solving real life problems involving rational number is describe below.  

Rational numbers are involved wherever in your day to day routine. How much pocket cash you get. That is an objective number. In the event that you go through some sum out of it, it is deduction of same number.

Imagine you are athlete, in your race competition you have to cover a rational number of distance.It is example of rational number used in our life.

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Answer:The reciprocal of 5/6 is found by switching the numerator for the denominator and the denominator for the numerator. That means that the reciprocal of 5/6 is 6/5.

Answer:

1.2

Step-by-step explanation:

that should be it the answer

Answer:

 well i cant explain the anwser but its y < 5 + 3 x

Answer:

3 - x ≥ 15

Step-by-step explanation:

3 - x ≥ 15

Answer:

3/7 chance or a 42.8% chance

Step-by-step explanation:

Answer:

kiloliter

Step-by-step explanation:

10 hectoliters fit in one kiloliter

Answer:

B= 17.1

Step-by-step explanation:

The formula for the area of a triangle is BH1/2

The word problem gives you the area and the height

Set the problem:

369.25= 42.4(1/2)(B)

42.4(1/2)=21.2

369.25=21.2B

Divide both sides by 21.2 to isolate the variable

17.41=B

Hope this helps! :)

Answer:

D:30

Step-by-step explanation:

Total of students =53

53-7= 46

46÷2=23

23+7=30

Answer:

it would be 12x 26y doe to the problem

Answer:

13

Step-by-step explanation:

Evaluate the expression for v = 2.

First, plug in 2 wherever v is seen.

5v + 3

5(2) + 3

Next, multiply.

5(2) + 3

10 + 3

Add.

10 + 3

13

Your final answer is 13.

Please let me know if there are any issues with this answer.

Answer:

i think this is algebra

Step-by-step explanation:

The first thing you have to do is open the multiplication parenthesis to substitute V for 2

5v + 3

5 (2) + 3

Now that you have the parenthesis, you multiply and then the result that you add.

5(2) or 5x2= 10 but is better with parenthesis.

10 + 3

=3

I hope this helps.

Answer:

1.641× 10^-3 pounds/ cubic inch

Step-by-step explanation:

Density= mass / volume

Mass of the material= 9 kilograms

Volume= 7 cubic feet

Density= 9/7= 1.286 kg/ ft^3

Density= 1.286 kg/ ft^3

To Convert to pounds per inch

1 kg/ ft^3 = 0.00128 pound / cubic inch

1.286 kg/ ft^3 = X pounds/ cubic inch

X=( 1.286 × 0.00128)

= 0.0016407087 pounds/ cubic inch

= 1.641× 10^-3 pounds/ cubic inch

Hence,this density in pounds per inch is 1.641× 10^-3 pounds/ cubic inch

Answer: x = 10

Step-by-step explanation: 4 times 250 is 1000 and divided by 100 is 10

Answer:

A

Step-by-step explanation:

y = -9 ------(1)

9x -4y = -9 -------(2)

substitute (1) into (2)

9x - 4 (-9) = -9

9x = - 45

x = -5

there you go, x = -5 and y = -9

so. (-5 , -9 )

hope this helps

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Answer:

Martin is the answer

Step-by-step explanation:

Incorrect - Martin is putting in $25 a week which means each week his bank is growing by exactly $25

Correct - Cali's pay is exponential since it is increasing each year by a percentage, so not a steady rate.

Incorrect - The athlete's weight is decreasing, so the opposite of growth.

Incorrect - And mei-lin can change how many hours she works so she will get a different amount for the time she works each day.

Hopefully, this helped, have a great day!

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