Simplify:

a) 6c + 4d - c - 7d =

b) 3x + 5y - x + 2y =

c) 3g + 5h + 4g - 2h =

d) 8t + 3r - 7t - 9r =

Answer:

Step-by-step explanation:

We have that the focus is at (p,0) and that the directrix is x=-p. Take the point (-p,0) of the directrix. We know that the vertex of the parabola is at the middle point ot the line segment that joins the points (p,0) and (-p,0). To get the middle piont, we take the average coordinate by coordinate. That is, the middle point is [tex](\frac{-p+p}{2}, \frac{0+0}{2}) = (0,0)[/tex]. The general formula of a parabola of vertex (h,k) that opens to the right or to the left is given by

[tex](y-k)^2 = 4p(x-h)[/tex]

Where |p| is the distance from the focus to the vertex. If the parabola opens to the right, then p>0 and p<0 otherwise. In our case, h =0=k, so we get that

[tex]y^2 = 4px[/tex]

Answer:

y^2 = 4px

Step-by-step explanation:

edg 2021

Answer:

is there supossed to be a picture?

Step-by-step explanation:

Answer:

Can you please give us a picture!

Step-by-step explanation:

Answer: c < -3

Step-by-step explanation: To solve for c in this inequality, your goal is the same as it would be you were solving an equation, to get c by itself on one side of the inequality.

Since 2 is being added to c, subtract

2 from both sides of the inequality.

On the left, the +2 and -2 cancel out

and on the right, -1 - 2 is -3.

So we end up with c < -3.

I have also graphed this for you below.

Answer:

d. no solution

Step-by-step explanation:

y=2x-3

2x=y-3

y=2x+3

Since these are two distinct parallel lines (same slope), they will never meet. Hence, no solution

Answer:

No solution :)

Step-by-step explanation:

Answer:

D. run

Step-by-step explanation:

The slope is given by

m = (y2-y1)/ (x2-x1) =  rise/ run

The change in the x coordinates is the run

Answer:

see below

Step-by-step explanation:

8(n + 2)(n + 4) = 1,144

FOIL

8(n^2 +2n+4n+8) = 1144

Divide each side by 8

8/8(n^2 +2n+4n+8) = 1144/8

(n^2 +2n+4n+8) = 143

Combine like terms

n^2 +6n+8 = 143

Subtract 143 from each side

n^2 +6n+8 -143= 0

Combine like terms

n^2 +6n -135 =0

Factor

What two terms multiply to -135 and add to 6

-9*15 =-135

-9+15 = 6

(n-9) (n+15) =0

Using the zero product property

n-9 =0    n+15=0

n = 9   n=-15

The length cannot be negative so n = -15 cannot be  a solution

n =9

Answer:

n = 9

Step-by-step explanation:

8(n + 2)(n + 4) = 1,144

(n + 2)(n + 4) = 143

n² + 2n + 4n + 8 = 143

n² + 6n - 135 = 0

n² + 15n - 9n - 135 = 0

n(n + 15) - 9(n + 15) = 0

(n - 9)(n + 15) = 0

n = 9, -15

since n is a length, it can not be negative

Therefore the only solution is n = 9

Answer:

7500

Step-by-step explanation:

3*1975=5925

5925/.79=$7500

Answer:

5175

Step-by-step explanation:

1975*3=5925

5925/79%=7500 (Take one zero off)

750

5925-750=5175

The Company will pay 5175 in total. But 1725 per each person going.

Answer:

SAS

Step-by-step explanation:

Answer:

Its addition I think so the answer would we 16.7399km for both trials

Step-by-step explanation:

Answer:

story 1

Step-by-step explanation:

because it says 2 higher than -2 so -2+2 is 0

Answer:

12π

Step-by-step explanation:

Volume of the cone is πr^2 * h / 3

r = 3

h = 4

9π * 4 / 3 = 12π

Answer: 37.6991118

Step-by-step explanation:

The value of x is 13. Therefore, option B is the correct answer.

Given that, EF=7x+9, FG=3x+4 and EG=143.

A line segment is a part of a line that connects two points which are considered to be its endpoints. It is the distance between two points that can be measured.

Now, EG=EF+FG

⇒143=7x+9+3x+4

⇒10x+13=143

⇒10x=130

⇒x=13

The value of x is 13. Therefore, option B is the correct answer.

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Answer:

1

Step-by-step explanation:

note that i² = - 1

Thus

[tex]i^{8}[/tex]

= i² × i² × i² × i²

= - 1 × - 1 × - 1 × - 1

= 1 × 1

= 1

The value of complex number is 1. Therefore, the option B is the correct answer.

A complex number is the sum of a real number and an imaginary number. A complex number is of the form a + ib and is usually represented by z.

The given complex number is i⁸.

We know that, i²=-1

Now, i⁸ can be written as i²×i²×i²×i²

= -1×(-1)×(-1)×(-1)

= 1

Therefore, the option B is the correct answer.

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Answer:

752 bellow sea just did that

Answer:

Its 752 below see level!

Step-by-step explanation:

I am doing the assignment right now and got it right!, if you want can you guys mark brainliest that would help a lot!!

Answer:

3.5

Step-by-step explanation:

0 1 1 3 3 3 4 5 7

median= 3

Q1= 1

Q3= 4.5

4.5-1= 3.5

Answer:3.5

0,1,1,3,3,3,4,5,7

Answer:

D.)The two variables are the number of crackers and the number of calories.

Step-by-step explanation:

The number of crackers is the independent variable, and the number of calories is the dependent variable.

The point (6, 42) is on the line

The number of crackers are graphed on the x-axis, and calories are graphed on the y-axis.

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

Explanation:

The half-life is 35 hours. This means every 35 hours, the amount of the substance is cut in half. If we started with 100 grams, then 35 hours later, we will have 50 grams. Then another 35 hours later we will then have 25 grams, and so on.

In this case, we start with 904 grams and follow this sequence:

904, 452, 226, 113, ...

Each term is cut in half. Going from term to term it takes 35 hours each. The third term 226 is the result of waiting two half-lives, which is 2*35 = 70 hours that have elapsed total.

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

If you want to use a formula, then it would be

[tex]y = A*\left(\frac{1}{2}\right)^{x/H}[/tex]

where,

H = half-life duration (in this case, it is 35)

A = starting amount (which is 904 in this case)

x = amount of time that has elapsed (we will plug in x = 70)

y = final amount after x units of time has elapsed

note that x and H must have the same time unit. Both are in terms of hours in this case.

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

So we will plug A = 904, x = 70, H = 35 into the formula to get...

[tex]y = A*\left(\frac{1}{2}\right)^{x/H}\\\\y = 904*\left(\frac{1}{2}\right)^{70/35}\\\\y = 904*(0.5)^{2}\\\\y = 904*(0.25)\\\\y = 226\\\\[/tex]

We see that x = 70 leads to y = 226. This means after 70 hours, there is 226 grams of the material left.

Answer:

The loan was $28184.81

Step-by-step explanation:

Let the loan amount be x

Rate of interest on Loan = 9%

Time = 8 years

Amount of loan over 8 years = $56160

Formula : [tex]A=P(1+r)^t[/tex]

Where A = Amount =56160

P = Principal = x

r = rate of interest = 9% = 0.09

t = time = 8 years

Substitute the values in the formula :

So,[tex]56160=x(1+0.09)^8[/tex]

[tex]\frac{56160}{(1+0.09)^8}=x[/tex]

$28184.81=x

Hence The loan was $28184.81

Answer:

M=25-3D

Step-by-step explanation:

Daniel starts with 25 dollars and spends three dollars per day for a d number of days. So the amount of money in his wallet should be equal to the starting number of dollars minus the amount of money he spends. Therefore we get the equation M=25-3D, where M is the amount of money is his wallet, and D us the number of days he buys a drink and chips.

Answer:

54 in^2

Step-by-step explanation:

9*12/2=54 in^2

Answer:

54

Step-by-step explanation:

The formula is 1/2*base*height which is 1/2*12*9. This is equal to 54.

hope this helps:)

Answer:

What is the length of Side X Z?

✔ 5

What is the length of Size Y Z?

✔ 6

The length of side XZ is 5 units.

The length of side YZ is 6 units.

A triangle is a 2-D figure with three sides and three angles.

The sum of the angles is 180 degrees.

We can have an obtuse triangle, an acute triangle, or a right triangle.

We have,

To find the length of side XZ, we can use the distance formula, which is:

[tex]d = \sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2}[/tex]

Substituting the coordinates of X (-2, 4) and Z (3, 4), we get:

[tex]d(XZ) = \sqrt{(3 - (-2))^2 + (4 - 4)^2}\\= \sqrt{5^2 + 0^2}\\= \sqrt{25}\\= 5[/tex]

The length of side XZ is 5 units.

To find the length of side YZ, we can again use the distance formula with the coordinates of Y (3, -2) and Z (3, 4):

[tex]d(YZ) = \sqrt{(3 - 3)^2 + (4 - (-2))^2}\\= \sqrt{0^2 + 6^2}\\= \sqrt(36)\\= 6[/tex]

The length of side YZ is 6 units.

Thus,

The length of side XZ is 5 units.

The length of side YZ is 6 units.

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Answer:

85%

Step-by-step explanation:

He  hit it 17/20

We want that as a percent

Multiply by 5/5

17/20*5/5 = 85/100

Percent means out of 100

85%

Answer:

85

Step-by-step explanation:

P(hit) = 17/20 × 100

85%

Answer:

[tex]y^{-4}\cdot y^3=y^{-1}[/tex].

Step-by-step explanation:

The given expression is

[tex]y^{-4}\cdot y^3[/tex]

We have to simplify the above expression. in form of [tex]y^n[/tex].

Using property of exponents, we get

[tex]y^{-4}\cdot y^3=y^{-4+3}[/tex]      [tex][\because a^ma^n=a^{m+n}][/tex]

After addition of exponents, we get

[tex]y^{-4}\cdot y^3=y^{-1}[/tex]

Therefore, [tex]y^{-4}\cdot y^3=y^{-1}[/tex].

Inverse operations are an operation that undoes each other. For example, addition and subtraction, multiplication and division, squares and square roots.

For example, we have the equation:

2 + 2 = 4

The inverse of this equation is:

4 - 2 = 2

Best of Luck!

Answer:

185.68 for perimeter

1652.16 for area

Step-by-step explanation:

Please give me brainliest i hope you do well.!

Answer:

Height of tree =  28.2 ft (Approx)

Step-by-step explanation:

Given:

Angle from ground to top of the tree = 62°

Distance from a point to base of tree = 15 ft

Height of tree = [tex]X[/tex]

Find:

Height of tree = [tex]X[/tex]

Computation:

Using trigonometric application:

[tex]Tan\ 62 = \frac{Height\ of\ tree}{Distance\ from\ a\ point\ to\ base\ of\ tree} \\\\Using\ calculator\ , Tan62 = 1.88\\\\1.88=\frac{Height\ of\ tree}{15} \\\\Height\ of\ tree=28.2ft[/tex]

Height of tree =  28.2 ft (Approx)

Answer:

One. see it for the ages of 50-59.

Answer:

(D)

Step-by-step explanation:

Equivalent expressions are expressions that have equal values

The equivalent expression of [tex]\sqrt{8x^2 } \div \sqrt{3x}[/tex] is [tex]\sqrt{\frac{8x}{3}}[/tex]

The expression is given as:

[tex]\sqrt{8x^2 } \div \sqrt{3x}[/tex]

Represent the expression as a quotient

[tex]\sqrt{8x^2 } \div \sqrt{3x} = \sqrt{\frac{8x^2}{3x}}[/tex]

Evaluate the quotient

[tex]\sqrt{8x^2 } \div \sqrt{3x} = \sqrt{\frac{8x}{3}}[/tex]

Hence, the equivalent expression of [tex]\sqrt{8x^2 } \div \sqrt{3x}[/tex] is [tex]\sqrt{\frac{8x}{3}}[/tex]

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Answer:

X = 6

Step-by-step explanation:

Look at the attachment