what is the slope of a line that passes through (-4,1) and (5,2)

Answer:

y = -2x - 8

Step-by-step explanation:

Parallel lines always have the same slope. Here, it is -2.

So, our equation so far looks like this:

y = -2x + b, where b is the y-intercept

We need to find b. We know our line passes through (-4, 0), so let's plug -4 in for x and 0 in for y:

y = -2x + b

0 = -2 * (-4) + b

0 = 8 + b

b = -8

Since b = -8, our equation is thus y = -2x - 8.

~ an aesthetics lover

Answer:

3km : 300m

3000 : 300

10 : 1

Step-by-step explanation:

this is your answer..........

Given :

An expression sin(140°)cos(20°) – cos(140°)sin(20°) .

To Find :

The value of given expression .

Solution :

We know ,

sin(A - B) = sin A cos B - cos A sin B

By comparing with above formula , we get :

A = 140° and B = 20° .

So , sin(140°)cos(20°) – cos(140°)sin(20°) = sin ( 140°- 20°) = sin 120° .

Now , [tex]sin 120^\circ{} = \dfrac{\sqrt{3}}{2}[/tex]

Therefore , the value of expression is [tex]\dfrac{\sqrt{3}}{2}[/tex] .

Hence , this is the required solution .

Hey there! I'm happy to help!

The domain is all of the x-values of a function.

So, we take all of the x-values from our points.

0,-1,2,1

To express the domain, you order the numbers from least to greatest and put it in brackets, so the domain is {-1,0,1,2}.

Have a wonderful day! :D

Answer:{-1,0,1,2}

Step-by-step explanation:

Answer:

112

Step-by-step explanation:

m<pmo + m<qmn = m<pmn 90+22=112

Answer:

112

Step-by-step explanation:

add 90 and 22

Answer:

Point A reamains unchanged.

Step-by-step explanation:

Let

A(1, -1)

B(1, 1)

C(-4, -1)

D (-4, 1)

REFLECTED OVER Y-AXIS:

When we reflected over Y-AXIS we have to change the sign of X-Coordinates of all vertices so, above given vertices becomes

A(-1, -1)

B(-1, 1)

C(4, -1)

D (4, 1)

REFLECTED OVER X-AXIS:

When we reflected over X-AXIS we have to change the sign of Y-Coordinates of all vertices so, above given vertices becomes

A(-1, 1)

B(-1, -1)

C(4, 1)

D (4,-1)

When we rotated over 180 degree than we have to change the signs of both coordinates of all vertices

A(1, -1)

B(1, 1)

C(-4, -1)

D (-4,1)

we can see that after the opertion of all three processes i.e  reflected over the y-axis, reflected over the x-axis, and rotated 180ºrespectively vertices are same as original vertices so, Rectangle remain unchanged. and point A is also unchanged

Two numbers that are the same distance from zero are called opposites.

-8 and 8 are Opposites.

Answer:

Step-by-step explanation:

g(x) = x - 2x²

To find g( - 3) + 13 substitute the value of x that's - 3 into g(x) and add 13 to it

We have

g( - 3) + 13 = - 3 - 2(-3)² + 13

= -- 3 - 2(9) + 13

= 3 - 18 + 13

We have the final answer as

Hope this helps you

Answer:

[tex]x=2y+3[/tex]

Step-by-step explanation:

So we have the equation:

[tex]x-2y=3[/tex]

And we want to solve for x. In other words, we want to isolate the x-variable.

So, add 2y to both sides of the equation.

[tex](x-2y)+2y=(3)+2y[/tex]

On the left, the 2y cancel. Simplify the right:

[tex]x=2y+3[/tex]

And we're done!

Answer:

x = 3 + 2y

Step-by-step explanation:

This is the answer because:

1) First, you have to isolate x, in order to isolate x you have to bring x to the end of the equation.

2) Then, you have to add 2y to both sides of the equation.  

Another way you can think of this is:

1) If you add 3 + 2y you would figure out the answer because if you want to find x for a subtraction equation, you can add the answer to the equation with the number.

For example, x - 20 = 10, now to figure this equation out, you can either isolate the x, or you can add the answer in the equation with the remaining number in the equation.

Hope this helps!  

Answer:

3 cups of vinegar

Step-by-step explanation:

∵ Nick uses the amount of vinegar for every 1 cup of olive oil = [tex]\frac{1}{4}[/tex] cup

∴ He will need the amount of vinegar for 12 cups of olive oil = [tex]\frac{1}{4}\times 12[/tex] cups

                                                                                                 = 3 cups

Therefore, Nick will need 3 cups of vinegar to make salad dressing.

Answer:

The width of the rectangle is 3.4 inches

Step-by-step explanation:

3.6 inches = length  LxW=Area

W= width

Perimeter= 2x(Length)+2x(Width) 2x3.6=7.2

7.2+2(W)=14.00 subtract 7.2 on both sides 14.00-7.2=6.8

2(Width)=6.8 divide both sides by 2 6.8/2=3.4

So width of rectangle is 3.4

Answer: $80.50

Step-by-step explanation:

Answer:

D. X = 7

Step-by-step explanation:

See image for explanation

Answer: See below

Step-by-step explanation:

a.

To solve for h, we want to use algebraic properties to isolate h.

[tex]A=\frac{1}{2}h(b_1 +b_2)[/tex]                [multiply both sides by 2]

[tex]2A=h(b_1 +b_2)[/tex]                 [divide both sides by b₁+b₂]

[tex]\frac{2A}{b_1+b_2} =h[/tex]

[tex]h=\frac{2A}{b_1+b_2}[/tex]

---------------------------------------------------------------------------------------------

b.

To solve for b₂, we first multiply both sides by 2. Then, we divide both sides by h. This leaves us with [tex]\frac{2A}{h} =b_1+b_2[/tex]. To get b₂, you subtract both sides by b₁.

Answer:

h=2A/(b1+b2)

and

b2=2A/h-b1.

Answer:

Step-by-step explanation:

If there are 260 days and she takes 28.9 seconds to get to the bus stop, then that means 260 * 28.9 = 7514 seconds to get to the Stop. 7514 / 60 = number of minutes which is 125 rounded

Answer:

1) d=25 2) d=2[tex]\sqrt{2}[/tex]  3) d=[tex]13\sqrt{2}[/tex]      

Step-by-step explanation:

[tex]d=\sqrt{(-2-1)^2+(-2-2)^2}\\ d=\sqrt{(-3)^2+(-4)^2} \\d=\sqrt{(-9)+(-16)}\\d=\sqrt{-25} \\d=5[/tex]

[tex]d=\sqrt{(5-3)^2+(-4-(-6))^2}\\ d=\sqrt{(2)^2+(2)^2} \\d=\sqrt{(4)+(4)}\\d=\sqrt{8} \\d=2\sqrt{2}[/tex]

[tex]d=\sqrt{(8-(-9))^2+(-7-0)^2}\\ d=\sqrt{(17)^2+(-7)^2} \\d=\sqrt{(289)+(49)}\\d=\sqrt{338} \\d=13\sqrt{2}[/tex]

Answer:

操你bit子Step-by-step explanation:

嗨，你好吗

Answer:

No the she should have been charged $203.88 the reason is if you times 12 by 16.99 you will get 203.88 not 220.87

The amount in credit card is enough to pay 12 months gym charge.

Given that, the charge for one month  is $16.99.

In mathematics, an equation is a formula that expresses the equality of two expressions, by connecting them with the equals sign =.

Number of months = 12

Let the total charge for 12 months be x.

Now, x = 16.99×12

= $203.88

Therefore, the amount in credit card is enough to pay 12 months gym charge.

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Answer:

10

Step-by-step explanation:

Sqrt((-8)^2+((-2)-4)^2)

Answer:

Ross is correct. He is right because if you do 11- (-2) the double negatives turn into a positive and the answer is 13.

The answer is "Yes", Ross is right, and the temperature change will be 13 °F.

The four fundamental operations of arithmetic are addition, subtraction, multiplication, and division of two or even more items.

Included in them is the study of integers, especially the order of operations, which is important for all other areas of mathematics, notably algebra, data management, and geometry.

As per the mentioned data in the question,

The afternoon temperature in Biscoff Bay = -2 °F

The temperature rose at midnight = 11 °F

Then, the change in temperature will be,

It is changing from -2 °F to 11 °F then,

= 11 - (-2) = 13 °F

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Answer:

y = ± [tex]\sqrt{\frac{a-x}{2b} }[/tex]

Step-by-step explanation:

Given

x = a - 2by² ( add 2by² to both sides )

x + 2by² = a ( subtract x from both sides )

2by² = a - x ( divide both sides by 2b )

y² = [tex]\frac{a-x}{2b}[/tex] ( take the square root of both sides )

y = ± [tex]\sqrt{\frac{a-x}{2b} }[/tex]

Answer:

[tex]y = a - x \di2b[/tex]

Step-by-step explanation:

[tex]2b {y }^{2} = a - x[/tex]

[tex]2b {y}^{2} \div 2b = a - x \ \div 2b[/tex]

[tex] {y}^{2} = a - x \div 2b[/tex]

[tex]y = \sqrt{a - x \div 2b} [/tex]

Answer:

8^4

Step-by-step explanation:

A 'base' is a number with an exponent.

The expression [tex]8^4[/tex] has the base 8.

We need to find which of the given term has an expression with a base of 8.

A numerical system's number basis, or base for short, informs us of the particular or distinctive symbols and notations it employs to express a value. The number used to construct a power with an exponent, such as the 3 in 3², is known as the base.

In the expression [tex]8^4[/tex], 8 is the base and 4 is the power or exponent.

Therefore, the expression [tex]8^4[/tex] has the base 8.

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Step-by-step explanation:

We have ST=5x, TU=3x+32 and they're equal if T is the midpoint:

5x = 3x + 32

2x = 32 x = 16

ST = 5x = 80

So TU = 80

and SU=160

Answer: Second choice

Answer:

-7n - .9

Step-by-step explanation:

By distributing the - to the parentheses, you must add a - sign to each number in the parentheses. This makes the positives turn negative.

Answer: You should try copying and pasting the question onto google. Someone may have answered the question or something similar on another website.

Answer:

23

Step-by-step explanation:

Let the mean also is x

Mean = Sum of all observations / Total no of observations

x = 30 + 12 + 40 + 10 + x / 5

5x = 92 + x

4x = 92

x = 23

Therefore 23 is the mean and also one of the numbers.

The value of x such that mean of  30, x, 12, 40, and 10 is equal to x will be 23.

The mean is the average of a data set. Mean gives us an idea of that how much amount of overall data have.

Mean = sum of data / Number of data

It is known that,

Mean = sum of data / Number of data

x = (30 + x + 12 + 40 + 10)/5

5x = x + 92

4x = 92

x = 23

Hence "The value of x such that mean of  30, x, 12, 40, and 10 is equal to x will be 23".

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Answer:

-21

Step-by-step explanation:

Answer:

i know its already been answered but yes, it is -21

Step-by-step explanation:

hope it helps, can anyone look at my most recent question? i'll appreciate it

Answer:

work is attached and shown