1. NC.6.RP.3 An airplane travels at a constant speed of 360 miles per hour. How far, in
miles, will the airplane travel in 45 minutes?
a. 270 miles
b. 16,200 miles
C. 60 miles
d 720 miles

The equation of the line that is perpendicular to y = -x - 2 and passes through the point (-12, 10) is y = x + 22 in slope-intercept form.

The equation of a line is given by:

y = mx + c

where m is the slope of the line and c is the y-intercept.

Example:

The slope of the line y = 2x + 3 is 2.

The slope of a line that passes through (1, 2) and (2, 3) is 1.

We have,

The given line has a slope of -1, since it is in the form y = mx + b, where m is the slope, and in this case, m = -1.

To find the equation of the line that is perpendicular to this line,

We need to use the fact that the product of the slopes of two perpendicular lines is -1.

Let the slope of the perpendicular line be m'.

Then:

-1 x m' = -1

m' = 1

So the slope of the perpendicular line is 1.

We also know that the perpendicular line passes through the point (-12, 10).

Using the point-slope form of the equation of a line, we have:

y - y(1) = m' (x - x(1))

Substituting m' = 1 and (x(1), y(1)) = (-12, 10),

We get:

y - 10 = 1 (x + 12)

Simplifying this equation gives:

y = x + 22

Thus,

The equation of the line that is perpendicular to y = -x - 2 and passes through the point (-12, 10) is y = x + 22 in slope-intercept form.

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Answer:

Which statements can be used to justify the fact that two right angles are supplementary? Select two options.

*  A right angle measures 90°.

If two angles are complementary, the sum of the angles is 90°.

* If two angles are supplementary, the sum of the angles is 180°.

A complementary angle is one-half the measure of a supplementary angle.

A supplementary angle is twice the measure of a complementary angle.

Step-by-step explanation:

(A) and (C)

A right angle measures 90°, hence the sum of two right angles is 180° (supplementary)

An angle is formed when two lines intersect each other. Two angles are said to be supplementary if their measures add up to 180 degrees while Two angles are called complementary if their measures add up to 90 degrees.

To justify the fact that two right angles are supplementary. Firstly a right angle measures 90°, hence the sum of two right angles is 180° (supplementary)

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Answer:

The mean should be D. 5

Step-by-step explanation:

The mean means the average which in this order (4, 5, 6) The direct middle is 5, making it the average since there are only 3 numbers in the first place.

You can mark out A (2) and B (3) instantly because they are lower than any of beginning numbers, and it's not C (4) as 'mean' doesn not mean the lowest, which leaves you with D (5)

May I have brainliest please? :)

Answer: $637

Step-by-step explanation:

Answer:

x > -3

General Formulas and Concepts:

Pre-Alg

Alg I

Step-by-step explanation:

Step 1: Define inequality

-2x + 1 < 7

Step 2: Solve for x

Here we see that any value greater than -3 would work as a solution of x.

Answer:

x>-3

Step-by-step explanation:

First, isolate the variable. So, move the 1 onto the other side.

Because signs change when moved to the other side, + becomes - .

Then, subtracte. 7-1=6.

DIvide both sides by -2.

-2x/-2 is x, and 6/-2 is -3.

So, x>-3

Answer:

1552 Photos

Step-by-step explanation:

I relabeled the albums as SP (Small album) and LA (Large album)

1 la holds 184

1 sp holds 112

112 • 4 = 448

184 • 6 = 1,104

448 + 1,104 = 1552

Answer:

4÷1/6=24

Step-by-step explanation:

Answer:

3.16

Step-by-step explanation:

Hope this helps!

Answer:

y - 1 = 1/6x + 1 <<< Point slope form

y = 1/6x + 2 <<< slope intercept form

Either one works unless the question specifies the form of the equation

Step-by-step explanation:

Point slope form: (y - y1) = m(x - x1)

Given: (-6,1) ; m = 1/6

(y - 1) = 1/6(x - (-6))

y - 1 = 1/6x + 1 <<< Point slope form

y = 1/6x + 2 <<< slope intercept form: y = mx + b

Answer:

The complete set of domain (x) and range values (y) is given by:

x                   y

-2                39

0                 13

3                  11

Step-by-step explanation:

Considering the function

[tex]f(x)=-8x+13[/tex]

As we know that the range of a function consists of the entire set of all possible resulting values of the dependent variable commanly called y or f(x), once we have substituted the domain.

Now

Putting x = -2 in f(x) to determine the range for the value x = -2

[tex]f(x)=-8x+13[/tex]

[tex]f(-2)=-8(-2)+13=16+13=39[/tex]

Putting x = 0 in f(x) determine the range for  the value x = 0

[tex]f(x)=-8x+13[/tex]

[tex]f(0)=-8(0)+13=0+13=13[/tex]

Putting x = 0 in f(x) determine the range for the value x = 3

[tex]f(x)=-8x+13[/tex]

[tex]f(3)=-8(3)+13=-24+13=11[/tex]

Therefore, the complete set of domain (x) and range values (y) is given by:

x                   y

-2                39

0                 13

3                  11

Answer:

A

Step-by-step explanation:

Answer:

The answer is [attached photo].

Hope this helps and if you could mark this as brainliest. Thanks!

Answer:

(3+y)-19=x

Step-by-step explanation:

x/3+y=2x+19

=3+y=2x-x+19

(3+y)-19=x

Answer:

-3, 0, 1/2, 3

The factors of function f is -3, 0, 1/2, 3

We have given that,

the factors of function f, and use them to complete this statement.

f(x)= 2x^4 - x^3 -18x^2 + 9x

A function from a set X to a set Y assigns to each element of X exactly one element of Y. The set X is called the domain of the function and the set Y is called the codomain of the function. Functions were originally the idealization of how a varying quantity depends on another quantity.

We have to determine the factor of the given function

[tex]2x^4 - x^3 -18x^2 + 9x =0[/tex]

[tex]x(2x^3-x^2-18x+9)=0[/tex]

[tex]x=0 \ and \ 2x^3-x^2-18x+9=0[/tex]

[tex]2x^3-x^2-18x+9=0[/tex]

[tex]2x-1=0\quad \mathrm{or}\quad \:x+3=0\quad \mathrm{or}\quad \:x-3=0[/tex]

Therefore the factors  [tex]2x^3-x^2-18x+9=0[/tex] are

[tex]x=\frac{1}{2},\:x=-3,\:x=3[/tex]

-3, 0, 1/2, 3

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Answer:

(a) Index finger

(b) Ring finger

(c) Index finger

Step-by-step explanation:

Taking thumb as standard for the question.

Thumb series 1 , 9 , 17 ,25, 33......

general term for this

a(n) = 1 + (n-1)8

      = 1 + 8n -8

       = 8n -7

(a) For 1 to 10

     8n -7 = 10

     8n = 16+1 (remainder)

so the thumb is for 9 and the next is index finger.

10th = index finger.

(b) for 1 to 100

    8n - 7 = 100

      8n= 107

     107 = 13x 8 + 3(remainder)

so the third finger from thumb is Ring finger

100th = Ring finger

(c) 8n - 7 = 1000

   8n = 1007      

 1007= 125x8 +7 (remainder)

so the 7th finger next to thumb is Index finger

1000th = index finger

Answer:

1.C

2.K

3.E

4.G

5.I

6.A

7.H

8.B

9.L

10.D

Step-by-step explanation:

Answer:

The overall average is 70 dollars for all weeks together

Answer:

The average amount Mrs. Johnson spent per week is 70 dollars.

Step-by-step explanation:

47+96+78+61+68/5 = 350/5 = 70

Answer:

[tex]m=5[/tex]

General Formulas and Concepts:

Pre-Alg

Alg I

Step-by-step explanation:

Step 1: Define

Point (1, 9)

Point (6, 34)

Step 2: Find slope m

Answer:

The slope is 5

Step-by-step explanation:

so you use formula m= y2-y1/x2-x1 and use 34 as y2, 9 as y1, 6 as x2 and 1 as x1 then plug in numbers when using the formula and do the math and get your slope

Answer:

72

Step-by-step explanation:

words per minutes= 1800÷25=72

Answer:

y=-4/3x-60

Step-by-step explanation:

Answer:

y=-4/3x-60

Step-by-step explanation:

The line intercepts -60 and the slope by using a slope triangle, for y it was from -20 to 20 so 40 units difference, and for x it was -30 to -60 so 30 unit difference. 40/-30 simplified = -4/3

Answer:

37.5 miles

Step-by-step explanation:

We can find the rate of conversion by dividing kilometers by miles. 5÷8=1.6, so 1.6 km = 1 mile. Now we can divide 60 by 1.6 to find miles.

[tex]60/1.6=37.5[/tex]

Hope this helped!

Answer:

96 km

Step-by-step explanation:

I try it its 96 km

Trust me

Answer:

second option :)

Step-by-step explanation:

Answer:

B.

StartLayout Enlarged left-brace 1st Row 3 x squared minus 4 y squared = 25 2nd row negative 12 x squared + 4 y squared = 22 EndLayout

Step-by-step explanation:

Answer:

B.) -7/1

Step-by-step explanation:

Finding the slope we use: y2 - y1/x2 - x1

m = -1 - 6/-3 - (-4)

m = -7/-3 + 4

m = -7/1

Answer:

y = 9x

Step-by-step explanation:

You can set up linear equations like this: y = mx + b, where m is the slope or rate, and b is the y-intercept.

9 would be the slope, since he has to pay $9 per gift.

The y-intercept is when x = 0, but if he doesn't buy any gifts, he won't have to pay anything, so b = 0. You don't have to include it since it's 0.

So, it's just y = 9x

Hope that helps! :D

Answer:

easy

Step-by-step explanation:

Answer:

no

Step-by-step explanation:

Answer:

Step-by-step explanation:

2+3.25=5.25 or 5 1/4 cups of flour total