Write an equation of the line that passes through (-1, – 4) and is perpendicular to the line y = (3/4)x -2

Answer:

b = [tex]\sqrt{45}[/tex]

Step-by-step explanation:

Using Pythagoras' identity in the right triangle on the left.

The square on the hypotenuse is equal to the sum of the squares on the other 2 sides, that is

b² + 6² = 9²

b² + 36 = 81 ( subtract 36 from both sides )

b² = 45 ( take the square root of both sides )

b = [tex]\sqrt{45}[/tex]

======================================================

Explanation:

M is the midpoint of segment PQ. This means PQ is cut in half into two equal smaller pieces PM and MQ. We can say that PM = MQ.

Furthermore, we can say that PQ is twice as long as either piece, so

We'll use the second equation to say the following:

PQ = 2*MQ

6x+56 = 2*MQ .... replace PQ with 6x+56

6x+56 = 2*(5x+8) .... replace MQ with 5x+8

6x+56 = 2*5x + 2*8 .... distribute

6x+56 = 10x+16

6x+56-10x = 16 .... subtract 10x from both sides

-4x+56 = 16

-4x = 16-56 ..... subtract 56 from both sides

-4x = -40

x = -40/(-4) ..... divide both sides by -4

x = 10

Once we know the value of x, we use it to find the length of PM

PM = MQ

PM = 5x+8

PM = 5*10+8

PM = 50+8

PM = 58

Note how PQ = 6x+56 = 6*10+56 = 116 is exactly twice as large compared to 58. In other words, 2*58 = 116. This confirms that PQ is twice as long compared to PM or MQ. This helps confirm we have the right answer.

Answer:

The answer is c

Step-by-step explanation:

your welcome

Answer:

2.4 percent of the glass is broken because if three out of 80 glasses broke that would be how many

Step-by-step explanation:

f(x) = 2.5x - 10.5 and g(x) = 64(0.5)^x

When x = 2,

When x = 3,

When x = 4,

When x = 5,

When x = 6,

Therefore we can see that f(x) = g(x) = 2 when x = 5.

Hence the solution is x = 5.

Answer:

-1n + 1 = 11

subtract 1 both sides

-1n = 10

-n = 10

n= -10

Step-by-step explanation:

Answer:

The total number of cookies they baked altogether is 216 cookies

Step-by-step explanation:

Here, we want to know the number of cookies that they baked together

From the question, we are told that Clementine baked 72 cookies while Jake baked twice as much

what this mean is that the number of cookies baked by Jake will be (2 * 72) = 144 cookies

Thus, the total number of cookies baked by the two of them will be;

72 + 144 = 216 cookies

Answer:

eish

Step-by-step explanation:

shhsjsbsbebsjushehbsjejdudushebeisius I'm sorry

Answer:

A = 2000(1.042)^t; $2667.50

Step-by-step explanation:

The formula or model for Compound Interest is given as:

A = P(1 + r/n)^nt

Where:

A = Amount or Balance after t years

P = Principal or initial amount invested = $2000

r = Interest rate = 4.2% = 0.042

t = Time in years = 7 years

n = Compounding frequency = Annually = per year = 1

Hence, the compound interest function to model for the situation (Question) with time t above is:

A = 2000(1 + 0.042) ^1 ×t

A = 2000(1.042)^t

Therefore solving for the balance

A = 2000(1.042)^7

A = 2,667.50

A = $2667.50

Therefore, option a =

A = 2000(1.042)^t; $2667.50

is the correct option.

Answer:

88.16

Step-by-step explanation:

You will have to use tan to solve it

The value of x round to the nearest tenth is,

⇒ x = 85

A triangle is a three sided polygon, which has three vertices and three angles which has the sum 180 degrees.

We have to given that;

Base of height = 500

Angle = 10°

Now, We can formulate;

⇒ tan 10° = x / 500

⇒ 0.17 = x / 500

⇒ x = 85

Thus, The value of x round to the nearest tenth is,

⇒ x = 85

Learn more about the triangle visit;

brainly.com/question/1058720

#SPJ2

Answer:

HL (hypotenuse leg)

Step-by-step explanation:

They share a leg, meaning they must be an equal length, and the hypotenuse is congruent, so the hypotenuse leg theorem says they are congruent.

Answer: 19nickels and 7dimes.

Ps i really don’t know where the 50.05 came from if it is suppose to be there then I really don’t know how to solve this.

Step-by-step explanation:

Ok so if you know that there are 19nickels, let n=number of nickels.

The number of total coins subtracted by number of nickels will give you number of dimes.

165-number of nickels=number of dimes

Value of dimes=10(number of dimes) or total value of dimes/individual value (10cent)

Then you can substitute total as $1.65 and get the value of nickels by multiplying by 5cent ( my teacher taught me using whole numbers to make it easier so I turned $1.65 to 165 cent). Since the value of the dimes is the value of nickels subtracted from the total, I can subtract 95 from 165 and divide the difference by 10, to get the number of dimes.

5(n)=5(19)=95

(165-95)/10=number of dimes

70/10=7dimes

You can check by multiplying 7x10 and 5x15 again and adding them together to see if they equal 165 cent.

Answer: okay

Step-by-step explanation:

Graph the line using the slope and y-intercept, or two points.

Slope is : -3

Y-intercept is: (0,-6)

Answer:

- 20

Step-by-step explanation:

Given the expression

2b - 3ac ← substitute given values for a, b and c

= 2(5) - (3 × - 2 × - 5)

= 10 - 30

= - 20

Answer:

-20 is the required answer

Step-by-step explanation:

2b-3ac

=2×5-3×-2×-5

=10-30

=-20

Answer: 5 days

Step-by-step explanation:

Let the number of pallets that the tan gerbil eat be x.

Since the brown gerbil eats 10 less than 4 times the number of pallets as the tan gerbil and eats 30 pallets pee day. This will be:

(4 × x) - 10 = 30

4x - 10 = 30

4x = 30 + 10.

4x = 40

x = 40/4

x = 10

The tan gerbil eats 10 pallets per day.

Both gerbil eats (30 + 10) = 40 gerbils per day.

Since the family has 200 pallets of food left, the number of days that they can feed both of the gerbils would be:

= 200 / 40

= 5 days

Answer:

The expression x² + 8x + 7 can be factored out as (x + 7)(x + 1).

Step-by-step explanation:

You can see how this factors by looking at the last term, and the coefficient of the second term.  You need to find two numbers that multiply to make seven, and add to make eight.

Because seven is a prime number, this becomes very easy.  If this works at all, the numbers must be seven and one.

And lo, if you check, seven and one do indeed add up to be eight, so that's what we need to use.  Let's do it:

x² + 8x + 7

= x² + x + 7x + 7

= x(x + 1) + 7(x + 1)

= (x + 7)(x + 1)

Answer:

The inequality is given as:

5x + 4y ≤ 50

Step-by-step explanation:

Let the number of

Chocolate pies = x

Apple pies = y

He has $50 pocket money,and hes looking to buy chocolate pies for $5 each and apple pies for $4 each.

Hence:

$5 × x + $4 × y ≤ $50

The the inequality to describe the possible number of chocolate pies and apple pies that mark can buy is given as:

5x + 4y ≤ 50

The above question is incomplete.

Complete Question

Minor arc KL measures 135°. Circle O is shown. Line segments K O and O L are radii. Which is the radian measure of central angle KOL?

a) StartFraction 3 pi Over 8 EndFraction radians

b) StartFraction 3 pi Over 4 EndFraction radians

c) StartFraction 7 pi Over 8 EndFraction radians

d) StartFraction 13 pi Over 5 EndFraction radians

Answer:

b) StartFraction 3 pi Over 4 EndFraction radians

Step-by-step explanation:

Minor arc KL measures 135°. Circle O is shown. Line segments K O and O L are radii.

Note that:

π radians = 180°

Therefore,

180° = π radians

135° = x

Cross Multiply

180° × x = 135° × π radians

x = 135° × π radians/180

x = 3π/4 radians

Therefore, the radian measure of central angle KOL is 3π/4 radians. Option b) is the correct option.

Answer: B

Step-by-step explanation:

Answer:

[tex]m = 200 + 20j[/tex]

[tex]r = 350 + 15j[/tex]

Number of jobs is 30

Step-by-step explanation:

Variable representation

Let Mark's total earnings for moving be m

Let Ryan's total earnings for moving be r

Represent the number of jobs with j

Setup equation

Mark:

[tex]Initial\ Savings = 200[/tex]

[tex]Rate = 20[/tex]

So, the total savings is:

[tex]m = 200 + 20j[/tex]

Ryan

[tex]Initial\ Savings = 350[/tex]

[tex]Rate = 15[/tex]

So, the total savings is:

[tex]r = 350 + 15j[/tex]

To get the number of jobs they save the same amount.

We have:

[tex]m = r[/tex]

Substitute values for m and r

[tex]200+20j = 350+15j[/tex]

Collect Like Terms

[tex]20j - 15j = 350 - 200[/tex]

[tex]5j = 150[/tex]

Divide both sides by 5

[tex]j = \frac{150}{5}[/tex]

[tex]j = 30[/tex]

Hence, the number of jobs is 30

Answer:

slope: [tex]\frac{1}{2}[/tex]

Step-by-step explanation:

If we were to plot the first pair on a graph it would be (-2,3) and the next pair of points plotted would be (0,4). The intercepts are [tex]x^{1},x^{2}[/tex] and [tex]y^{1}, y^{2}[/tex]. To find the slope of a line using pairs of plotted points, you need to use the slope formula  [tex]\frac{rise}{run}[/tex] to solve this.

- write your formula

[tex]\frac{rise}{run} : m=\frac{y^{2}-y^{1} }{x^{2}-x^{1} }[/tex]

- plug in your numbers

[tex]m=\frac{4-3}{0-(-2)}[/tex]

- solve

[tex]m=\frac{1}{2}[/tex]

I hope this helps!

Answer:19.2

Step-by-step explanation:

Hey again!

The answer to your question is 98 feet squared

First, we find the new dimensions:

7 x 2 = 14

3.5 x 2 = 7

Area = length x width, so 14 x 7 = 98

Hope it helps!

Answer:

21.25

Step-by-step explanation:

The sum of all angles in a triangle equals 180°

Since it's an isosceles triangle, the base angles are congruent.

180 = 75 + (2x + 10) + (2x + 10)

180 = 95 + 4x

-95    -95

85 = 4x

x = 21.25

Answer: I think the value of x is 20 but im not sure

Step-by-step explanation:

no explanation here

Answer:

y = 1/2x - 8 this is it

Step-by-step explanation: