A line intersects the points
(8,-10) and (9, 4).
m = 14
Write an equation in point-slope form
using the point (8, -10).

The height of each story based on the information is 10 feet.

It should be noted that from the information given, the storey building as a roof of 6 feet and the height of the house is 26 ft.

Therefore, the height of each story will be:

= (26 - 6) / 2

= 20 / 2

= 10 feet

Therefore, the height of each story based on the information is 10 feet.

Learn more about height on:

brainly.com/question/1739912

#SPJ1

A 2 storey building as a roof of 6 feet.. The height of the house is 26 ft. What is the height of each story

Answer:

press the stars.

Step-by-step explanation:

The inverse function of the function y = log₂ 4x is f ⁻¹(x) = 2ˣ/4.

Given the function is :

y = log₂4x

we are asked to find the inverse of the function.

steps to find inverse function are:

now interchange the positions of x and y in the function.

x = log₂4y

the next step is to isolate the dependent variables.

f ⁻¹(x) = 2ˣ/4

hence, we get the inverse of the given function as f ⁻¹(x) = 2ˣ/4

Learn more about Inverse functions here:

brainly.com/question/14391067

#SPJ4

Answer:

enlargement

Step-by-step explanation:

if scale factor > 1 then enlargement

if scale factor 0 < SF < 1 then reduction

here SF = [tex]\frac{6}{5}[/tex] = 1.2 > 1 so enlargement

Answer:

Enlargement

Step-by-step explanation:

Due to the scale factor properties stating that a SF value must be more than one to become an enlargement factor, we know that 6/5 is more than one whole. Thus, the SF is enlargement.

Answer:

Given the length of all 3 segments is 38, we are counting two-thirds of 38. You would find this by multiplication.

Step-by-step explanation:

Conversion to improper fractions/Simplification

[tex]\frac{38}{1} \times \frac{2}{3} = \frac{76}{3}\\\\\frac{76}{3} = 76 \div 3 = 25\frac{1}{3}[/tex]

Therefore, HN = [tex]\sf 25\frac{1}{3}[/tex]

Answer:

D. 6.694 * 10^9

Step-by-step explanation:

The exponent is 9 because the result of the first equation had 9 digits. It is positive because the decimal moves to the right.

Answer:

Check options down below!

Step-by-step explanation:

If solving for n:

n = -m/2 - 5/6

If solving for m:

m = -2n - 5/3

An example of deductive reasoning is Most tulips grow to between 6 and 24 inches tall. Janelia concludes that the flowers in her garden will be shorter than 24 inches.

Deductive reasoning  can be described as the  mental process  that involves the  the act of drawing deductive inferences.

It should be noted that this inference can be valid in the case whereby   the  conclusion is seen to be in line with logic from its premises, hence option B is correct because it follows a logical sequesnce before amking a conclusion.

Learn more about deductive reasoning at:

https://brainly.com/question/1803030

#SPJ1

Answer:

Step-by-step explanation:

It's C and E

Felix and The school's schedule

By the use of algebra properties, the expression (- 3 · m⁻⁴) · (- 5 · m⁷) is equivalent to 15 · m³.

In this question we find a product of two monomials, each monomial has a constant, a variable and a grade and the entire expression must be simplified by means of algebra properties. The complete procedure of simplification is now presented:

To learn more on algebraic expressions: https://brainly.com/question/21443100

#SPJ1

Justin borrow $6,000 from a credit union for 2 years.

What is Principal amount?

The amount of money initially borrowed from the lender, and as the loan is repaid, it can also refer to the amount of money still owed, is called Principal amount.

Given that;

Simple interest = $840

Time = 2 years

Annual rate = 7%

Now, The formula for calculate the principal amount is,

Simple interest = Principal amount × Rate × time / 100

Principal amount = Simple interest × 100 / Rate × time

Hence,

Principal amount = 840 × 100 / 7 × 2

Principal amount = 84,000 / 14

Principal amount = $6000

So, Justin borrow $6,000 from a credit union for 2 years.

Learn more about the principal amount visit:

https://brainly.com/question/24923966

#SPJ1

Both numbers are rational numbers, so the correct answer is (C).

So,

39/7 is already a rational number as it is already in a fraction with a denominator not equal to zero.

Therefore, both numbers are rational numbers, so the correct answer is (C).

Know more about rational numbers here:

https://brainly.com/question/1949413

#SPJ9

According to the given solving we can say that both numbers are rational.

The correct option is C.

The ratio or fraction among two numbers, p/q, where both p and q are the numerator and denominator, respectively, can be expressed as a rational number. For example, 3/7 and any integer represent rational numbers..

Rational numbers can really be expressed as ratios (such P/Q and Q0), while irrational numbers can indeed be expressed as a fraction. Both of these numbers, nevertheless, are real and can be displayed on a number line.

39/7 and-0.3287

The decimal number as a fraction:

0.3287  = 0.3287/1

this can be written as:

[tex]\frac{0.3287}{1}[/tex] x [tex]\frac{1000}{1000}[/tex]  = [tex]\frac{3287}{1000}[/tex]

So we can say that:

-0.3287 = [tex]\frac{-0.3287}{1000}[/tex]

According to the given solving we can say that both numbers are rational number.

To know more about rational number visit:

https://brainly.com/question/24398433

#SPJ9

Answer:

AWSOME IMAGE!

Step-by-step explanation:

You make it??!!!

Answer: AIght thx for the points

Step-by-step explanation:

The numbers that fits into the equation X² = 100 are -10 and 10.

It should be noted that squares simply means multiplying a number by itself.

In this case, X² = 100.

Therefore, the numbers that fits X will be:

X² = 100

Square root both sides

X = ✓100

X = 10

Also, it should be noted that (-10)² = 100

Therefore, the numbers that fits into the equation X² = 100 are -10 and 10.

Learn more about numbers on:

brainly.com/question/24644930

#SPJ1

Answer:

Not enough info.

Step-by-step explanation:

The values, which when substituted for x in the expression √x , would result in an irrational number are:

In Mathematics, there are six (6) common types of numbers and these include the following:

An irrational number can be defined a type of number which comprises non-terminating or non-repeating decimals such as the square root of 168, 2, 8, 21, π, 11.

In conclusion, when a perfect square or 4 is substituted for x in the expression √x, the result is not an irrational number because it is neither a terminating nor a repeating decimal.

Read more on irrational number here: brainly.com/question/20400557

#SPJ1

Complete Question:

Which values, when substituted for x in the expression √x, will result in an irrational number? Select all that apply.

x = 168

x = 2

x = 8

x = 21

x = π

x = 4

when x is a perfect square.

Answer:

1:2

Step-by-step explanation:

Answer:

Step-by-step explanation:

Is it possible to have a Triangle with

3cm , 6cm , 7cm ?

the sum of the lengths of any two sides of a triangle is always greater than the length of the third side. so your answer is YES (obtuse Triangle)

Michelle’s overtime hourly payment is 35.22

Given that ,

Equation represents Michelle’s regular hourly and overtime wage

= 130 (x – 38) + 950% > 38

We have to find Michelle’s overtime hourly payment.

Let’s solve the above given equation:

130 (x – 38) + 950% x 38 = 0

130x – 4940 + (950/100) x 38 = 0

130x – 4940 + 9.5 x 38 = 0

130x – 4940 + 361 = 0

130x – 4579 = 0

130x = 4579

X = 4579 / 130

X = 35.22

That is, Michelle’s overtime hourly payment is 35.22.

Learn more about payments here: https://brainly.com/question/24150836

#SPJ1

The speed with which the airplane is flying in feet per second is 917 ft per second.

The speed at which an object's location changes in any direction. The distance travelled in relation to the time it took to travel that distance is how speed is defined. Given that it just has a direction and no magnitude, speed is a scalar number.

It is given that,

The speed with which the airplane is flying is = 625 mile per hour

We need to find the speed of the airplane in feet per second

Number of seconds in 1 hour = 60 x 60 = 3600s

Number of feet in 1 mile = 5280 feet

Number of feet in 625 mile = 5280 x 625 = 33,00,000 feet

Speed of airplane in feet per second = [tex]\frac{33,00,000}{3,600}[/tex]

= 916.66 feet per second

~917 feet per second

Hence, the speed with which the airplane is flying in feet per second is 917 ft per second.

To learn more about, speed conversion here,

https://brainly.com/question/17625483

#SPJ1

The length and distance across the canyon is 5196.15 feet and it is more than 1 mile.

a) To find the length of canyon, we will sine function. As per the sine theta = length of opposite side ÷ hypotenuse. Keep the values in formula to find the hypotenuse, which is the length of the canyon wall.

sin 60 = 4500 ÷ hypotenuse

Hypotenuse = 4500 ÷ (✓3/2)

Hypotenuse = 4500 × 2 ÷ ✓3

Hypotenuse = 9000 ÷ ✓3

Hypotenuse = 5196.15 feet

The length of the canyon wall is 5196.15 feet.

b) To find the distance across the canyon, we will use cosine function. As per the cos theta = base ÷ hypotenuse. Keep the values in formula to find the base, which is half the length of the distance across the canyon.

cos 60 = base ÷ 5196.15

cos 60 × 5196.15 = base

Base = (1/2) × 5196.15

Base = 2958.075 feet

Total distance across the canyon = 2958.075 + 2958.075

Tota distance across the canyon = 5196.15 feet

c) Using the relation, 5280 feet = 1 mile

5196.15 feet = 5196.15 ÷ 5280 mile

5196.15 feet = 1.12 miles

So, distance across the canyon is more than 1 mile.

Learn more about trigonometric functions -

https://brainly.com/question/1143565

#SPJ1

The bird settles on the branch at the rate of 2.33 meters per second.

The rate of change refers to the traveling speed of the bird when perching on the branch.

The rate of change (which is speed) is the distance (altitude) divided by time.

The bird's flying altitude above ground = 10 meters

Time in seconds to settle on a branch = 3 seconds

The altitude above ground after settling on the branch = 3 meters

The change in altitude = 7 meters (10 - 3)

Rate of change = 2.33 meters per second (7/3)

Thus, the rate of change that the bird used to settle on the branch is 2.33 meters per second.

Learn more about rates of change at https://brainly.com/question/24313700

#SPJ1

Answer:

-2.33

Step-by-step explanation:

Answer: y = 25x + b

Step-by-step explanation:

The value of the composite function f o g (x) is x² - 3 x - 3.

We have the functions:

f (x) = x + 1 and g (x) = x² - 3 x - 4

We need to find the composite function:

f o g (x)

= f ( g (x) )

Substituting the values, we get that:

= ( x² - 3 x - 4 ) + 1

= x² - 3 x - 4 + 1

= x² - 3 x - 3

Therefore, the value of the composite function f o g (x) is x² - 3 x - 3.

LEARN MORE ABOUT COMPOSITE FUNCTIONS HERE:

brainly.com/question/10687170

#SPJ4

Answer:

A

Step-by-step explanation:

each step has added one extra side you might have trouble thinking it’s d but the pattern is x color (I’m colorblind) blue x blue so your answer is a

Answer:

30

Step-by-step explanation:

6(2) + 10(3) - 2(2)(3)
12 + 30 - 2(6)
42 - 12
30

The value of the expression 6y + 10z - 2yz when y = 2 and z = 3 is 30.

Given the expression in the question:

6y + 10z - 2yz

y = 2

z = 3

To determine the value of the expression 6y + 10z - 2yz, we simply substitute y = 2 and z = 3 into the expression and then simplify.

6y + 10z - 2yz

Plug in y = 2:

6( 2 ) + 10z - 2(2)z

Plug in z = 3:

6( 2 ) + 10( 3 ) - 2(2)(3)

Simplifying, we get:

12 + 30 - 12

Add 12 and 30:

42 - 12

Subtract 12 from 42:

30

Therefore, the value of the expression is 30.

Learn more about algebraic expressions here: https://brainly.com/question/28959918

#SPJ2

Answer: $576.99 in 3 years

Step-by-step explanation:

Answer:

546.36

Step-by-step explanation:

Interest rate calculator