Solve for b. ab + c = d
b = (d-c)/a
b = a + c/d
b = a/(c-d)​

Answer:

[tex]{:}\longrightarrow[/tex][tex]\sf BD={\dfrac {1}{2}}AE [/tex]

[tex]{:}\longrightarrow[/tex][tex]\sf BD={\dfrac {1}{2}}21[/tex]

[tex]{:}\longrightarrow[/tex][tex]\sf BD={\dfrac {21}{2}}[/tex]

[tex]{:}\longrightarrow[/tex][tex]\sf BD=10.5cm [/tex]

The line BD will be 10.5cm in the triangle ABC. Thus option D is correct.

A closed shape with both inner and exterior angles, a triangular is created by three lines.  the fundamental geometric shapes. a vertex-filled triangle. There is only one distinct triangle if the product of two fades on the sides is bigger than the longest side. 

The value of AE is given as 21.

From the diagram that is given, it is indicated that according to the midpoint theorem

BD║AE

Also, BD= 1/2 ×AE

BD = 21/2

BD = 10.5 cm.

Therefore, option D is the correct option.

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The question is incomplete, the complete question will be :

A. 42

B. 21

C. 11.5

D. 10.5​

Step-by-step explanation:

5/4+(12/4_1/2)^2

5/4+((12_8)/4)^2

5/4+1

9/4

Answer:

[tex]\frac{3}{2}[/tex]

Step-by-step explanation:

Given

[tex]\frac{5}{4}[/tex] + 4 ([tex]\frac{3}{4}[/tex] - [tex]\frac{1}{2}[/tex] )²

= [tex]\frac{5}{4}[/tex] + 4 ([tex]\frac{1}{4}[/tex] )²

= [tex]\frac{5}{4}[/tex] + 4 × [tex]\frac{1}{16}[/tex]

= [tex]\frac{5}{4}[/tex] + [tex]\frac{1}{4}[/tex]

= [tex]\frac{6}{4}[/tex]

= [tex]\frac{3}{2}[/tex]

Answer:

(b) or (d)

Step-by-step explanation:

stidents who play basketball = 4y^2 + y - 8 - (2y + 16) = 4y^2 - y - 24

This is a question on forming and solving equations and expressions. If you wish to venture further into it/understand this topic better, you may want to follow my Instagram account (learntionary), where I post some of my own notes on certain topics and also some tips that may be useful to you :)

Answer:  Choice (b) 4y^2 - y - 24;  top right corner

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Work Shown:

T = total number of students in the class

T = 4y^2 + y - 8

F = number of students who play football

F = 2y+16

B = number of students who play basketball

B = unknown for now

Since a student either plays football or basketball, but not both, this means

T = F+B

which rearranges to

B = T-F

Plug in the given expressions and simplify

B = T-F

B = (4y^2+y-8) - (2y+16)

B = 4y^2+y-8 - 2y - 16

B = 4y^2 + (y-2y) + (-8-16)

B = 4y^2 - y - 24

Answer:

Step-by-step explanation:

11/334 pounds= roughly 0.329 a pound or 0.33

Answer:

Yeh that's what you have to do.....

Divide the total amount by four

Answer:

yes

Step-by-step explanation:

a. It is a binomial

b. It is a trinomial

c. It is a monomial

d. It is a trinomial

e. It is a binomial

To answer the question, we need to know what polynomials are

Polynomials are algebraic expressions that contains variables and coefficients.

a.

2 - x² + 4x + x² = 2 - x² + x² + 4x

= 2 - 0 + 4x

= 2 + 4x

Since it has two terms, it is a binomial

b.

x - 5x² + 3 - 2 = x - 5x² + 1

= - 5x² + x + 1

Since it has three terms, it is a trinomial

c.

x² - x² + x² - x² + 3 = 0 + 0 + 3

= 3.

Since this contains a single term, it is a monomial

d.

7x - x² + x³ + 4x² = x³ + 4x² - x² + 7x

= x³ + 3x² + 7x

Since it has three terms, it is a trinomial

e.

-6x - x² + 6x - 4x = -6x - x² + 2x

= - x² + 2x - 6x

= - x² - 4x

Since it has two terms, it is a binomial

a. It is a binomial

b. It is a trinomial

c. It is a monomial

d. It is a trinomial

e. It is a binomial

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Answer:

360,000

Step-by-step explanation:

just multiply by 3

Answer:

3,120 second year 3,244.80 the third year.

Step-by-step explanation:

4% of 3,000 is 120

so 3,120 then 3,244.80 the third year after the 4% is compounded

Answer:

[tex]\frac{1170pi}{360m}[/tex]km

Step-by-step explanation:

To find the length of the minor arc, you find the circumference of the circle multiplied by the arc angle, which is [tex]\frac{45}{m}[/tex] over 360 degrees.

Circumference of the circle with center B = 13×2×pi

                                                                     = 26pi

Length of minor arc = 26pi × [tex]\frac{45}{m}[/tex] ×[tex]\frac{1}{360}[/tex]

                                 = [tex]\frac{1170pi}{360m}[/tex]km

Answer:

$4867.2

Step-by-step explanation:

Answer:

x=2, y=3

Step-by-step explanation:

This is a system of equations.

To solve a system of equations, we use the substitution method.

We can plug in the first equation, [tex]x=2y-4[/tex], into the value for x in the second equation. Now, the second equation looks like this:

[tex]2*(2y-4)+y=7[/tex]

We simplify and solve for y:

→ [tex]4y-8+y=7[/tex]

→ [tex]5y=15[/tex]

→ [tex]y=3[/tex]

Now, we plug in the value for y, which is 3, into either equation. I will just use the first equation:

→ [tex]x=2*3-4[/tex]

→ [tex]x = 2[/tex]

Let me know if my explanation is unclear.

Answer:

The moon's gravitational pull on the Earth is the main cause of the rise and fall of ocean tides.

Step-by-step explanation:

The moon's gravitational pull causes two bulges of water on the Earth's oceans—one where ocean waters face the moon and the pull is strongest and one where ocean waters face away from the moon and the pull is weakest.

Hope it helped!!

Answer:

-12

Step-by-step explanation:

The slope of a line is just the difference of y-values divided by the difference of x-values

[tex]m = \frac{y_2-y_1}{x_2-x_1} = \frac{144-0}{0-12} = \frac{144}{-12} = -12[/tex]

Answer:

thanks man i really needed points

Step-by-step explanation:

Answer:

i really need it

Step-by-step explanation:

thanks for the points

Answer:

f(-7) = -4

Step-by-step explanation:

We want to find the value of the function when x = -7

The y value of the function when x= -7 is -4

f(-7) = -4

Answer:

f(-7)=-4

Step-by-step explanation:

If you look at the x, in this case -7, and follow it down to where it stops on the parabola, you will see that it's y value is -4.

Answer: I think its 131.19, but not too sure.

Step-by-step explanation:

To find the speed, you would do distance/time, so I added 300 and 7. I got 307, then I divided 307 (distance) from 2.34 (time). I got 131.19

Do you want the speed of both cars? then the answer would be:

(300)- first car= 128.20

(307)- second car= 131.19 (if you need to round this answer, it would be 131.2)

Answer:

1. After solving we get value of x: [tex]\mathbf{x=\frac{6}{11} }[/tex]

2. After solving we get value of x: [tex]\mathbf{x=\frac{6}{11} }[/tex]

Step-by-step explanation:

We need to Solve the equations.

1.  [tex]10 - 6 x = 4 + 5 x[/tex]

Step 1: Subtract 5x on both sides

[tex]10 - 6 x-5x = 4 + 5 x-5x\\10-11x=4[/tex]

Step 2: Subtract 10 on both sides

[tex]10-11x-10=4-10\\-11x=-6[/tex]

Step 3: Divide both sides by -11

[tex]\frac{-11x}{-11}=\frac{-6}{-11}\\x=\frac{6}{11}[/tex]

So, after solving we get value of x: [tex]\mathbf{x=\frac{6}{11} }[/tex]

2. [tex]7-6x=1+5x[/tex]

Step 1: Subtract 5x on both sides

[tex]7 - 6 x-5x = 1 + 5 x-5x\\7-11x=1[/tex]

Step 2: Subtract 7 on both sides

[tex]7-11x-7=1-7\\-11x=-6[/tex]

Step 3: Divide both sides by -11

[tex]\frac{-11x}{-11}=\frac{-6}{-11}\\x=\frac{6}{11}[/tex]

So, after solving we get value of x: [tex]\mathbf{x=\frac{6}{11} }[/tex]

Answer:

1) coordinates

2) slope

Step-by-step explanation:

The equation of a line is given by the two equations:

[tex]y=mx+b[/tex], where m is the slope and b is the y-intercept, or

[tex]y-y_1=m(x-x_1)[/tex], where x₁ and y₁ is the location of any point on the line, and m is the slope.

→ As such, we know that given the slope and the coordinates of any point on a line, we can write the line's equation.

We can also find the slope of a straight line between two points with the following equation:

[tex]m = \frac{y_2-y_1}{x_2-x_1}[/tex], where m is the slope, x1 and y1 is the location of the first point, and x2 and y2 is the location of the second point. Remember: rise (y) over run (x).

→ So, given only two points, it is easy to find the equation of the line when you first find the slope.

To find slope, divide the difference of the y-coordinates of 2 points on a line by the difference of the x-coordinates of those same 2 points,hope this helps you (:

Answer:

water : sucrose : saline = 1000 : 199 : 271

Step-by-step explanation:

Given Information:

Process:

Answer:

x ≈ 14.30

General Formulas and Concepts:

Pre-Algebra

Trigonometry

Step-by-step explanation:

Step 1: Define variables

∅ = 39°

opposite leg = 9

hypotenuse = x

Step 2: Solve for x

Answer:

4 times.

Step-by-step explanation:

16/4 = 4.

Hope this helped!

Step-by-step explanation:

( 0,4 ) is the point in the graph

Answer: 9 quarters and 5 dimes

Step-by-step explanation:

Answer:

160

Step-by-step explanation:

20% of 800 = 0.20 * 800 = 160

Answer:

um idrk lol but I LIKE UR CUT G!!!!

6

Step-by-step explanation:

here,

4x +2=15x-64

64+2=15x-4x

66=11x

x=66/11

x=6

Answer:

X-intercept- ( 3/7,0)

Y-intercept- (0,-3)

Step-by-step explanation:

To find the y-intercept(s), substitute in  0 for x and slove for y

y=7(0)-3

simplify y=-3

to find the x-intercept(s), substitute in  0 for y and slove for X  

0=7x-3

rewrite equation- 7x-3=0 and slove

which would equal 3/7

Answer:

Step-by-step explanation:

1 4/5*5/6

3/2 or 1 1/2

Answer:

250

Step-by-step explanation:

Following shows the steps on how to derive this formula

Step 1: If 92% of a number is 230, then what is 100% of that number? Setup the equation.

230

92% = Y

100%

Step 2: Solve for Y

Using cross multiplication of two fractions, we get

92Y = 230 x 100

92Y = 23000

Y = 23000

100 = 250

What is  

230

% of  

92

? = 250

Answer:

250

Explanation:

230 x 100 ÷ 92 =250