What is the first step in solving the equation 4b - 7 = 13.

Answer:

f(- 5) = 184

Step-by-step explanation:

Substitute y = - 5 into f(y) , that is

f(- 5) = 9(- 5)² + 7(- 5) - 6

        = 9(25) - 35 - 6

       = 225 - 41

      = 184

By applying the Pythagorean theorem, we will find that the length of the other leg of the right triangle is 40.7 yards.

If for right triangle we define A and B as the length of the two legs, and H as the length of the hypotenuse, the Pythagorean theorem says that:

A^2 + B^2 = H^2

Here we know that:

A = 14 yd

H = 43 yd

And we want to find the other leg, then we can replace that in the equation to get:

(14yd)^2 + B^2 = (43yd)^2

B = √( (43yd)^2 - (14yd)^2) = 40.7 yd

So the other leg length is 40.7 yards.

If you want to learn more about right triangles, you can read:

https://brainly.com/question/2217700

Answer:

I think 9 is the best answer

Answer:

9 is the answer.

Step-by-step explanation:

Given:

We can tell that '3x + 6y' is basically '15 x 3' because the whole equation has been multiplied by three. Therefore, 3x + 6y must equal 45.

=> 3x + 6y = 45

But we need to divide 45 by 5 to get the solution because the 3x + 6y has also been divided by 5.

=> 45/5

=> 9

Therefore, 9 is the answer.

[tex]GeniusUser[/tex]

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Explanation:

We'll need these trig ratios

Refer to the diagram below.

sin(B) = r = r/1 which tells us that the side opposite angle B is r units long. The hypotenuse is 1.

cos(B) = s = s/1 means the adjacent side to angle B is of length s

sides r and s are the two legs of the right triangle.

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From that diagram, we can then say:

sin(angle) = opposite/hypotenuse

sin(C) = s/1

sin(C) = s

This is identical to cos(B). We can say cos(B) = sin(C)

Also, we can say:

cos(angle) = adjacent/hypotenuse

cos(C) = r/1

cos(C) = r

So cos(C) = sin(B)

This works because B+C = 90

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So,

sin(C) - cos(C) = cos(B) - sin(B) = s - r

Answer:

I = 8000×1×15

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

100

I = 120000

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100

I = Rs 1200

Answer:

[tex]\displaystyle 3x^2 + x[/tex]

Explanation:

All you are doing is combining like-terms:

[tex]\displaystyle \boxed{3x^2 + x} \Rightarrow [5x + x^2 - 1] + [2x^2 - 4x + 1][/tex]

I am joyous to assist you at any time.

Answer:

Simplifying

X + 59 + 84 + X + 51 = 180

Reorder the terms:

59 + 84 + 51 + X + X = 180

Combine like terms: 59 + 84 = 143

143 + 51 + X + X = 180

Combine like terms: 143 + 51 = 194

194 + X + X = 180

Combine like terms: X + X = 2X

194 + 2X = 180

Solving

194 + 2X = 180

Solving for variable 'X'.

Move all terms containing X to the left, all other terms to the right.

Add '-194' to each side of the equation.

194 + -194 + 2X = 180 + -194

Combine like terms: 194 + -194 = 0

0 + 2X = 180 + -194

2X = 180 + -194

Combine like terms: 180 + -194 = -14

2X = -14

Divide each side by '2'.

X = -7

Simplifying

X = -7

Answer:

x^5/4

Step-by-step explanation:

The first one

The measurement  of ∠ ABC in  [tex]\triangle ABC[/tex], When AB =√2,  AM = 1. BM = 1, BC = 2 will be [tex](\cos^{-1}{5)[/tex].

The measures of angle ∠ ABC can be calculated as:

The Law of Cosines, states that:

[tex]c^2 = a^2+ b^2 - 2ab \cos (C)[/tex]

Where, c is the side opposite angle C, and a and b are the other two sides of the triangle.

The sides of ∆ ABC will be :

AB = [tex]\sqrt{2}[/tex] (given)

BC = 2 (given)

[tex]AC = 1 + \sqrt{MC}[/tex]

∆ ABC is a triangle and according to the triangle inequality theorem,  the  The sum of the lengths of any two sides of a triangle must be greater than the length of the third side.

So:

BC+AB > AC

[tex]2+\sqrt 2 > 1 + {\overline{MC}}[/tex]

[tex]\sqrt 2 +1 > \overline{MC}[/tex]

The law of cosines for [tex]\angle ABC[/tex] can be calculated as:

[tex]{BC}^2 = {AB}^2 + {AC}^2 - 2.AB.AC.cos(\angle ABC)[/tex]

The values can be obtained by the substitution.

[tex]2^2 = (\sqrt2)^2 + (1+{\overline {MC)}^2 - 2.\sqrt2 > (1 +{\overline{MC}).cos (\angle ABC)[/tex]

[tex]4 = 3 +2.\overline{MC} + \overline{(MC})^2 - 2. (\sqrt2. (1+ \overline{MC}).cos (\angle ABC)[/tex]

This can be simplified as:

[tex]0 = 3 + 2.\overline{MC} + \overline{MC})^2 - 2. (\sqrt2. (1+ \overline{MC}).cos (\angle ABC)[/tex]

The value of [tex]\overline{MC}[/tex] can be calculated as:

[tex]\sqrt 2+1 > \overline{MC}[/tex]

Substitute the value in the equation,

[tex]0 = 3+2.(\sqrt2+1) + (\sqrt2+1)^2 - 2.\sqrt2. (1+ \sqrt2+ 1).cos (\angle ABC)[/tex]

[tex]0 = 3+2 \sqrt2+4+2\sqrt2+1-2\sqrt2-2-2\sqrt2-2\sqrt2- 2.cos (\angle ABC)[/tex]

[tex]0 = 10 - 2.cos (\angle ABC)[/tex]

Thus, the value of cos [tex](\angle ABC)[/tex]  is calculated as:

[tex]cos (\angle ABC) = \dfrac{10}{2}[/tex]

[tex]cos(\angle ABC) = 5[/tex]

Thus, the value of[tex](\angle ABC)[/tex] is [tex](\cos^{-1}{5)[/tex].

Learn more about angles here:

https://brainly.com/question/14569348

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Answer:

Step-by-step explanation:

Let the length be :x+7

Let the breadth be:x

After addition and subtraction

Length:x+7+2=x+9

Breadth:x-1

A.T.Q

x(x+7) = (x+9)(x-1)

x²+7x = x(x-1)+9(x-1)

x²+7x = x²-x+9x-9

x²+7x-x²+8x = 9

8x-7x = 9

So, Breadth: 9m

So, Length :16m

Answer:

Please give Brainliest!

Step-by-step explanation:

The three dimensions are 36ft, 72ft, and 59ft.

Answer:

im pretty sure we keeps the account sorry this isnt for the math question

Step-by-step explanation:

826×98=80948

Answer:

80,948

Step-by-step explanation:

that's the answer.

Answer:

You are right

Step-by-step explanation:

It starts at zero and goes up. (Positive slope)

Answer:

7x+3

Step-by-step explanation:

-5x+6x+14+12x-20-6x+9

combine like terms

7x+3

Step-by-step explanation:

Here

5x+16+7x-3+6x+5 = 180(being sum of triangle)

or, 18x=180-18

or, x= 162/18

so, x = 9

now,

here,

<ACD = <ACB(diagonals of parallelogram bisect eachother)

or, <ACD = 7x-3

or, <ACD = 7×9-3

or, <ACD = 63-3

So, <ACD = 60°

Answer:

The second number is 90.

Step-by-step explanation:

The first statement isn't at all helpful when you start the problem.  Three numbers add up to 185.  Big deal.  Hold that thought for later.

You need a place to start:  think about some quantity to assign a variable name (letter) to.   Look at the second statement.

The second number is 5 times the first.  If  x  represents the first number, then 5 times that is 5x.  So far, you have this:

x = first number

5x = second number

Next:  The third number is 13 less than the second number.  "13 less than" means to subtract 13 from something.  But what?  The second number.

5x - 13 = third number

Now the first statement is useful.  All three numbers add up to 185.

x + 5x + (5x - 13) = 185

Combine like terms.

11x - 13 = 185

Add 13.

11x = 198

Divide by 11.

x = 18

Wait!  Trick question.  The problem asks for the second number, not the first.

5x = 5(18) = 90

Answer:3

Step-by-step explanation:

5x3=15

15+4=19

Answer:

5n+p>40

n+p<20

Step-by-step explanation:

Answer:

Answer below

Step-by-step explanation:

The currency called the dollar can be split into smaller forms called nickels, pennies, dimes, and quarters.

The system of inequalities that represents how many pennies and nickels that Jada could have is given as:

p + n < 20

0.01p + 0.05n > 0.40

Let's represent the number of :

pennies = p

nickels = n

It is important to also note that:

1 penny = $0.01

1 nickel = $0.05

40 cents can also be written as: $0.40

Jada has p pennies and n nickels that add up to more than 40 cents.

The word more than means greater than and this can be represented by the inequality sign ">". Hence, our inequality equation is given as:

$0.01 x p + $0.05 x n > $0.40

0.01p + 0.05n > 0.40

She had fewer than 20 coins altogether.

The word fewer means less than and this can be represented by the inequality sign "<". Hence, our inequality equation is given as:

p + n < 20

Therefore, the system of inequalities that represents how many pennies and nickels that Jada could have is given as:

Correct answer is  p + n < 20 0.01p + 0.05n > 0.40

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(Hope this helps can I pls have brainlist (crown)☺️)

Answer:

Step-by-step explanation:

A I think sorry if I’m wrong

Answer:

A: 150+(45•p)

B: 125+(50•p)

Step-by-step explanation:

You multiply the monthly fee by a letter representing an unknown number because we dont know how many months you are staying with each company and we add the one time fee because you are only paying once, so in conclusion you add the one time fee to the result of  the monthly fee by how many months.

Answer:60

Step-by-step explanation:

plz like

Answer:

3% freshwater

Step-by-step explanation:

What percentage of all water on Earth is freshwater in liquid form?

67%

1%

31%

3%

Answer:

1%

Step-by-step explanation:

3% is wrong. I took the test and I’ve studied this :)

Answer:

y = 1

Step-by-step explanation:

To find the Horizontal Asymptote, you have to look at the degree of the numerator and denominator.

[tex]h(x) = \frac{x^n}{x^m}[/tex]

Answer:

1 2/7

Step-by-step explanation:

18 - 2x(4+3) =

combine like terms in the parentheses

18 - 2x(7) =

Multiply

18 - 14x  (This is the value of the expression)

We can solve for x by setting it equal to zero

18 - 14x = 0

-14x = -18

x = -18/-14

x = 1 2/7

Answer:

I think its 21 But if its times then its 240

Step-by-step explanation:

Hope this helped

Answer:

120

Step-by-step explanation:

formula for volume is area×height

so

v=1 /2b×h×l

v=1/2×5×4×12

v=2.5×4×12

v=10×12

[tex]v= {120cm}^{3} [/tex]

Answer:

It would be 9.6 inches after 4 weeks.

The expression you would use is  5 + 2.5 × ww = ?

Step-by-step explanation:

At the beginning of spring, Eva planted a small sunflower in her backyard. When it was first planted, the sunflower was 5 inches tall. The sunflower then began to grow at a rate of 2.5 inches per week. How tall would the sunflower be after 4 weeks? How tall would the sunflower be after ww weeks? Write an expression.

So the sunflower was 5 inches tall to start off.

First you need to do 2.5 times 4.

Which is 9.6 inches after 4 weeks.

The expression you would use is.

5 + 2.5 × ww = ?

Answer:

4) -11.3...

Step-by-step explanation:

distribute both sides to get (1/6)x - (4/3) = (4/15)x - (1/5)

move the variables to one side and the constants to the other: ((4/15) - (1/6))x = (-(4/3) + (1/5))

simplify to get (1/10)x = (-17/15) multiply everything by 10 to get x=-34/3 or -11.33333333333333333...

Answer:

option 4

Step-by-step explanation:

[tex]\frac{2}{3}[/tex] ([tex]\frac{1}{4}[/tex] x - 2) = [tex]\frac{1}{5}[/tex] ([tex]\frac{4}{3}[/tex] x - 1) ← distribute parenthesis on both sides

[tex]\frac{1}{6}[/tex] x - [tex]\frac{4}{3}[/tex] = [tex]\frac{4}{15}[/tex] x - [tex]\frac{1}{5}[/tex]

Multiply through by 30, the LCM of 6, 3, 15, 5

5x - 40 = 8x - 6 ( subtract 8x from both sides )

- 3x - 40 = - 6 ( add 40 to both sides )

- 3x = 34 ( divide both sides by - 3 )

x = - [tex]\frac{34}{3}[/tex] = - 11.333..

Answer:

The number is out of the Venn Diagram. The number is supposed to be in the middle if the middle means the students that don’t have a cat nor dog. Hope this helps and hope you pass.