What is an equation of the the line that passes through the point (-1,4) and is parallel to the line x+y=4

This is so important!! Ive tried everything

Answer:

40 m/hr

Step-by-step explanation:

6 hours * 80 m/hr      +     6 hours * x m/hr  = 720 miles

6 * 80     +    6 * x   = 720

x = 40 m/hr

The expression P2 = 100000(0.4)^(d - 4) is an illustration of an exponential expression

The equivalent expression of P2 = 100000(0.4)^(d - 4) is  P2 = 3906250(0.4)^d

The equation is given as:

P2 = 100000(0.4)^(d - 4)

Apply the law on indices on the expression.

P2 = 100000(0.4)^d * 1/0.4^4

Rewrite as:

P2 = 1/0.4^4 * 100000(0.4)^d

Evaluate the exponent

P2 = 39.0625 * 100000(0.4)^d

Evaluate the product

P2 = 3906250(0.4)^d

Hence, the equivalent expression of P2 = 100000(0.4)^(d - 4) is  P2 = 3906250(0.4)^d

Read more about equivalent expressions at:

https://brainly.com/question/2972832

Answer:

D

Step-by-step explanation:

Answer:

4

Step-by-step explanation:

[tex]\frac{1}{2} * 4[/tex] = 2

The easiest way to convert a fraction to a decimal is to divide the numerator (the top of the fraction) by the denominator (the bottom of the fraction)

3/12=0.25

Answer:

D

Step-by-step explanation:

First, you count the total number of windows. That's 25. Then you count the number of widows with their lights off. That's 15. After this, you divide 15 by 25 to get the percent of the windows turned off. :)

Answer:

11/15

Step-by-step explanation:

Answer:

y = 5x + 3

Step-by-step explanation:

If the slope is 5 and the y-intercept is 3, we can substitute the value of the variables into the formula.

y = mx + b

y = (5)x + 3

y = 5x + 3

I hope this helps!

90

Step-by-step explanation:

It's a right-angle triangle

Hope this helps!

Answer:

Slope of the line that is parallel: 2

Slope of the line that is perpendicular: [tex]-\frac{1}{2}[/tex]

Step-by-step explanation:

For the parallel line:

Rewrite your equation to slope-intercept form: y = mx + b

y = mx + b

2x - y = 1 <== subtract 2x to both sides

-2x     -2x

-y = -2x + 1 <== divide both sides by -1

/-1      /-1

y = 2x - 1

The slope of the line that is parallel to this line is 2.

For the perpendicular line:

*Perpendicular lines have negative reciprocals*

Steps:

1. Take your original slope (2)

2. Flip it (1/2)

3. Change the sign (-1/2)

For a slope of 2, the reciprocal would be: [tex]-\frac{1}{2}[/tex]

Hope this helps!

Note that.

Slopes of parallel line are equal

Slopes of perpendicular lines are negative reciprocals

So

Compare to slope intercept form

Slope of the parallel line=2

Slope of the perpendicular line=-1/2

Answer:

o.48

Step-by-step explanation:

To find the experimental probability of Kim getting the bonus, count the number of sets of digits that have at least two 0's or 1's.

Notice there are 24 sets of numbers that have at least two 0's or 1's. So, the experimental probability of Kim getting the bonus if she greets 7 customers today is  or 0.48.

Answer:

8

Step-by-step explanation:

2 + 2 = 4

4 / 3 = 1.3

1.3 x 6 = 8

Let x be the cost of a box of apples and y be the cost of a box of oranges.

Danielle : 3x + 2y = 44.5

Esther: 5x + 4y = 81.5

3x + 2y = 44.5 --- 1

5x + 4y = 81.5 --- 2

6x + 4y = 89 --- 3

From 2 and 3, we have:

x = 7.5

Subsitute x = 7.5 into 1

3(7.5) + 2y = 44.5

2y = 22

y = 11

Therefore, a box of oranges costs 11 dollars

Answer:

39600

Step-by-step explanation

for the amount of minutes we'll multiply 11*60

11*60=660

for the amount of seconds we'll multiply the amount of minutes by 60 so

660*60=39600

Answer:

a)  -2

b)  y = -2x + 6

Step-by-step explanation:

Question (a)

Point A = (-1, -2)

Point B = (7, 2)

[tex]\sf gradient\:of\:AB=\dfrac{change\:in\:y}{change\:in\:x}=\dfrac{2-(-2)}{7-(-1)}=\dfrac{4}{8}=\dfrac12[/tex]

If lines are perpendicular to each other, the product of their gradients will be -1.

Let g be the gradient of the perpendicular line:

[tex]\implies \sf \dfrac12 \times g=-1[/tex]

[tex]\implies \sf g=-1 \div \dfrac12=-2[/tex]

Therefore, the gradient of the line perpendicular to AB is -2

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

Question (b)

[tex]\sf midpoint\:of\:line = \left(\dfrac{x_1+x_2}{2},\dfrac{y_1+y_2}{2}\right)[/tex]

[tex]\sf let\:point\:A=(x_1,y_1)=(-1,-2)[/tex]

[tex]\sf let\:point\:B=(x_2,y_2)=(7,2)[/tex]

[tex]\sf \implies midpoint\:of\:line\:AB = \left(\dfrac{-1+7}{2},\dfrac{-2+2}{2}\right)=(3,0)[/tex]

We now know the gradient and a point on the perpendicular line.

So we can use the point-slope form of a linear equation:

[tex]\sf y-y_1=m(x-x_1)[/tex]

[tex]\implies \sf y-0=-2(x-3)[/tex]

[tex]\implies \sf y=-2x+6[/tex]

Answer:

225

135

450

270

6750

all the answers

Answer:

5

Step-by-step explanation:

The slope is the same as the rate.

5 gallons/1 minute is the rate, so the slope can be written the same way.

5/1 = 5

Answer :-

Step-by-step explanation:

Given :-

To Find :-

Solution :-

According to question,

↠ (x)(x + 2) = 528

↠ x² + 2x = 528

↠ x² + 2x - 528 = 0

↠ x² + 24x - 22x - 528 = 0

↠ x(x + 24) - 22 (x + 24) = 0

↠ (x + 24) (x - 22) = 0

↠ x = -24 or 22

Hence,

Value of two integers are 22 and 24

Step-by-step explanation:

It is given that, The product of 2 consecutive even integers is 528 and we have to find the value of each integers.

Now, As it is stated in the question that the product of 2 consecutive even integers is 528, So

[tex] \\ { \longrightarrow \qquad{ \pmb{ \sf { y(y + 2) = 528 }}}} \: \: \\ \\[/tex]

[tex]{ \longrightarrow \qquad{ \pmb{ \sf { {y}^{2} + 2y = 528 }}}} \: \: \\ \\[/tex]

Subtracting both sides by 528 we get :

[tex] \\ { \longrightarrow \qquad{ \pmb{ \sf { {y}^{2} + 2y - 528= 528 - 528 }}}} \: \: \\ \\[/tex]

[tex]{ \longrightarrow \qquad{ \pmb{ \sf { {y}^{2} + 2y - 528= 0 }}}} \: \: \\ \\[/tex]

We have to find two numbers such that,

[tex] \\ { \longrightarrow \qquad{ \pmb{ \sf { p + q= 24 }}}} \: \: \\ \\[/tex]

[tex]{ \longrightarrow \qquad{ \pmb{ \sf { p \times q= 528 }}}} \: \: \\ \\[/tex]

The two numbers are 24 and 22. So,

[tex] \\ { \longrightarrow \qquad{ \pmb{ \sf { {y}^{2} + (-22y) + 24y - 528= 0 }}}} \\ \\ [/tex]

[tex]{ \longrightarrow \qquad{ \pmb{ \sf { {y}(y -22) + 24(y - 22)= 0 }}}} \\ \\ [/tex]

[tex]{ \longrightarrow \qquad{ \pmb{ \sf { (y -22) (y + 24)= 0 }}}} \\ \\ [/tex]

[tex] \: [/tex]

So, The first consecutive even integer is 22.

Now,

[tex] \\ { \longrightarrow \qquad{ \pmb{ \sf {Second \: consecutive \: even \: integer=y \:+2 \: }}}} \\ \\ [/tex]

[tex]{ \longrightarrow \qquad{ \pmb{ \sf {Second \: consecutive \: even \: integer=2 2+2 \: }}}} \\ \\ [/tex]

[tex]{ \longrightarrow \qquad{ \pmb{ \sf {Second \: consecutive \: even \: integer=24 }}}} \\ \\ [/tex]

Therefore,

Answer:

The type of function is cexponential and Alinear

Answer:

116 km squared

Step-by-step explanation:

When you get crazy shapes like this, try and look for the basic ones inside (i.e. triangles, rectangles, etc.) I can find one big triangle and two rectangles, one small and one larger. Vide the attatchment for reference.

Step 1. Find the missing variables, x, y, and z

y = 2

x = 6 - 2 = 4

z = 8 + (4) + 2 = 14

Step 2. Find the area of each shape

Triangle:

Area = bh/2 = (8 x 14)/2 = 56 km sq

Big rectangle:

Area = bh = 8 x 6 = 48 km sq

Small rectangle:

Area = bh = 2 x 6 = 12 km sq

Step 3. Add all the areas together

56 + 48 + 12 = 116 km sq

I hope this helps!

Answer:

Step-by-step explanation:

Out of 100 brownies ,4 were caramel.

Ratio of Caramel Brownies to Brownies: 4/100

If you further simplify it , 4/100 is the same thing as 1/25 , which can also be expressed as

Answer: 4% of the brownies were caramel

Answer:

Equally Likely

Step-by-step explanation:

The answer is equally likely because equally likely events have the same probability of happening as another event.

For example, a fair coin.

It has a 1/2 chance of beng tails, and 1/2 chance of being heads, meaning that both tails and heads are Equally Likely to land.

Hope this helps!

If an event has a probability of 1/2 then the likelihood of this event is,

C. Equally likely.

Probability is the chance of occurrence of a certain event out of the total no. of events that can occur in a given context.

As equally likely occurrences have the same likelihood of occurring as other events, the answer is equally likely.

A fair coin is an illustration.

Both tails and heads are equally likely to land because there is a 1/2 chance that it will be one or the other.

learn more about probability here :

https://brainly.com/question/743546

#SPJ7

Answer:

x = 66°

Step-by-step explanation:

The angles lie on a straight line.

→ A straight line has total 180 degrees

Answer:

2) 66

Step-by-step explanation:

2x + 48° = 180° (Angles in linear pair)

-> 2x = 180° - 48°

-> 2x = 132°

-> x = 132°/2

-> x = 66°

Answer:

like if it's rere it's ree duh awsee a

Answer:

X= 2

X= -8

Hope this helps :)

Answer:

x=2 and x=-8

Step-by-step explanation:

First, move terms to the left side. Then subtract the numbers and use the quadratic formula. Simplify, separate the equations, and solve.

Answer:

see below

Step-by-step explanation:

y = 2x+2

The line is in slope intercept form

y = mx+2  where m is the slope and b is the y intercept

The line intercepts the y axis is b or 2 ( 0,2)

The slope is m = 2

It means we go up 2 and over 1  (2/1)

Starting at (0,2)  , up 2 and to the right 1 is ( 1,4)

The next point would be (2,6)

Answer:

Answer below in the picture

I hope my answer helps you.