Find the equation of the line which passes through (-2,1) and which is perpendicular
to the line 2x - 4y = -8. State the answer in slope-intercept form and graph.
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Step-by-step explanation:

x = Iman's money

y = Daphne's money

x = 2y

x - 128 = y - 40

now we use the first equation as identity in the second equation and get

2y - 128 = y - 40

y - 128 = -40

y = $88

x = 2y = $176

these were the starting values.

now, after spending, they have both left

176 - 128 = 88 - 40 = $48

Answer:

116

Step-by-step explanation:

The sum of the measures of the angles of a quadrilateral is 360 degrees, so:

79+55+110+x=360

244+x=360

x=116

Step-by-step explanation:

P = 2(L + B ), but L = B + 5. so,

P = 2(B+ 5 + B ), B = 16 & L = 21.

Answer:

3.058s

Step-by-step explanation:

i cant rewrite everything i solve in the paper sorry

Step-by-step explanation:

In this question, to find the total height first, we must also take into consideration the acceleration due to gravity as well. To find the distance by which acceleration due to gravity pulls the ball down must know the Initial velocity.

In the answer key, it says that gravity changes the ball's height by a distance of -5t^2

Is initial velocity in this question 0 or 14m/s? Because if it is 14, then gravity should change the balls position by -(14+5t^2), not -5t^2, because if I remember correctly, the formula for finding distance is vt(initial velocity)+(1/2)at^2 ,and not just (1/2)at^2

15b

10 balls...........200

15 balls.......... = 15x200 : 10 = 300

Rs 300 for 15 balls

Answer:

50° for angle FEG

Step-by-step explanation:

Following the Verticle Angles Theorem, the angle on the other side of 140 must also be 140. Since it is split up and we know one of them is a right angle, we must subtract 90 from 140.

140 - 90 = 50.

Thus, angle FEG is 50°.

Answer:

15cm

Step-by-step explanation:

scale factor =image diatace/object distance

0.75=x/20

0.75×20=x

15=x

: .x=15cm

6 - 23 + (-9+5) * 2

-17 + (-4)*2

-17 + (-8)

-17 - 8

-25

Answer:

-25

Step-by-step explanation:

follow the order for pemdas which is (parenthesis,exponent,multiplication/division, and then addition/subtraction)

Answer:

0.4207

Step-by-step explanation:

Determine z-score

[tex]z=\frac{\bar{x}-\mu}{\sigma/\sqrt{n}}\\ \\z=\frac{52-50}{10/\sqrt{70}}\\ \\z\approx1.6733[/tex]

Find P(Z>1.6733)

[tex]P(Z > 1.6733)=normalcdf(1.6733,\infty)\approx0.4207[/tex]

Therefore, the probability that the mean stress level for a sample of 70 employees will fall above 52 is 0.4207

Answer:

11 hours

Step-by-step explanation:

Using the $79 dollars, Scott can get up to 9 hours with the boat. Scott will be left with $7, adding the $7 to the $9 coupon, Scott will then have $16 which can give Scott an additional 2 hours summing the total hours up to 11 hours Scott can rent the boat for.

Answer:

B. angle 2

Step-by-step explanation:

Angle 2 is opposite to the 110 degrees, and opposite angles are congruent
Hope this helps :)

Answer:

D. 0.019 years of age per year

Step-by-step explanation:

Step-by-step explanation:

4/5x-3=3/10x+7

We move all terms to the left:

4/5x-3-(3/10x+7)=0

Domain of the equation: 5x!=0

x!=0/5

x!=0

x∈R

Domain of the equation: 10x+7)!=0

x∈R

We get rid of parentheses

4/5x-3/10x-7-3=0

We calculate fractions

40x/50x^2+(-15x)/50x^2-7-3=0

We add all the numbers together, and all the variables

40x/50x^2+(-15x)/50x^2-10=0

We multiply all the terms by the denominator

40x+(-15x)-10*50x^2=0

Wy multiply elements

-500x^2+40x+(-15x)=0

We get rid of parentheses

-500x^2+40x-15x=0

We add all the numbers together, and all the variables

-500x^2+25x=0

a = -500; b = 25; c = 0;

Δ = b2-4ac

Δ = 252-4·(-500)·0

Δ = 625

The delta value is higher than zero, so the equation has two solutions

We use following formulas to calculate our solutions:

x1=−b−Δ√2ax2=−b+Δ√2a

Δ−−√=625−−−√=25

x1=−b−Δ√2a=−(25)−252∗−500=−50−1000=1/20

x2=−b+Δ√2a=−(25)+252∗−500=0−1000=0

Answer:

$189.43

Step-by-step explanation:

P = regular price

65% as a decimal = [tex]\frac{65}{100}[/tex] = .65

Discount = .65

To get the amount of the discount we would multiply P * .65

To find the sale price we subtract the discount from the original price.

Now we write our equation:

P - P(.65) = $66.30  

Solve for P

P - P(.65) = $66.30  

1P - P(.65) = $66.30  

1P - .65P = $66.30  

.35P = 66.30   Divide each side by .35

.35P.35 = 66.30/.35

P = 66.30/.35

P ≈ $189.43

Answer:D

Step-by-step explanation:

Answer:

D. The population of New York City is more than double the population of Los Angeles.  

Answer:

a) x=-a, x=a+b

b) x=5/2a, x=1/3b

c) x=1/2a, x=a/a-2

Step-by-step explanation:

a) (x-a)(x-a)-b(x+a)=0

   (x+a)(x-a-b)=0

   x=-a, x=a+b

b) 3x(2x-5a)-b(2x-5a)=0

   (2x-5a)(3x-b)=0

   x=5/2a, x=1/3b

c) (2a-4)x^2=a^2(x-1)

   (2x-a)(ax-2x-a)=0

Answer:

Step-by-step explanation:

Answer:

f(3) = 425

f(3) is the elevation of a mountain climber after 3 hours of climbing.

Step-by-step explanation:

So we are given a line that relates time to elevation. We are also given that the equation of the line is f(x) = 125x + 50. From looking at the graph given, we can see that x is the time, in hours, and y, or f(x), is the height, in feet. We are asked to find f(3) and interpret it's meaning.

To find f(3), we would have to find what f(x) is when x = 3. To do this, lets plug in 3 for x into the given equation:

f(3) = 125(3) + 50 = 425

So f(3) = 425. Now, we already know that x is the time in hours and y, or f(x), is the elevation in feet. We set x to 3 when solving for f(3). We have also found that f(3), or y when x = 3, is 425. So f(3), or 425, is the elevation after 3 hours.

I hope you find my answer and explanation to be helpful. Happy studying.

Answer:

-17/32

this is the answer I got

Answer:

The tower itself is 300 metres (984 feet) high. It rests on a base that is 5 metres (17 feet) high, and a television antenna atop the tower gives it a total elevation of 324 metres (1,063 feet).

Answer:

33

Step-by-step explanation:

replace n with 11 and multiply 3x11

spent : 2/5 + 1/4 = 8/20 + 5/20 = 13/20

remains = 7/20

The 7/20th fraction of his lotto earnings is remaining.

Let us say the man has $100

Money spent on luxury cars = 2/5 of the money

Money spent on luxury cars = 2/5 * 100 = $40

Money spent on buying a house = 1/4 of the money

Money spent on buying a house = 1/4 * 100 =$25

Money left with the man = 100-40-25 = $35

$35 is 35/100 fraction of $100.

35/100 = 7/20

So, the 7/20th fraction of his lotto earnings is remaining.

Hence, the 7/20th fraction of his lotto earnings is remaining.

To get more about fractions visit:

https://brainly.com/question/78672

Answer:

Therefore, there 16 chances of getting a spade OR a five.

Step-by-step explanation:

Answer:

Step-by-step explanation:

The line with the slope 0 is horizontal line, so the equation is

y = 2

[tex]x + y = 90[/tex]

[tex]x = 3y[/tex]

[tex]3y + y = 90[/tex]

[tex]4y = 90[/tex]

[tex]y = 15[/tex]

[tex]x = 3(15) = 45[/tex]

Answer:

45 °

Step-by-step explanation:

Knowing that:

Supplementary Angle = 180 °

Angle x is 3 time the measure of angle y.

Solve:

Equation below:

x + y = 180

x = 3y

Substitute

3y + y =180

4y = 180

Divide both sides by 4

4y/4 = 180/4

y = 45

Value of x:

x = 3 × 45

x = 135

Therefore the measure of angle x is 135.

x = 45

y = 135

~Lenvy~

Answer:

(-1,1)

Step-by-step explanation:

you can solve them simultaneously or by just looking at the point at which the lines are meeting or intersecting

Answer:

(-1,1)

Step-by-step explanation:

Answer:

[tex] \frac{5}{3} [/tex]

Step-by-step explanation:

[tex]let \:the \: multiplicative \: inverse \: be : x \\ then \: \frac{3}{5 } \times x = 1 \\ \frac{3x}{5} = \frac{1}{1} \\ 3x \times 1= 5 \times 1 \\ 3x = 5 \\ x = \frac{5}{3} [/tex]

♨Rage♨