A trapezoid has a base of 4.5 inches, a height of 6 inches, and an area of 21 square inches. The equation below can be used to determine b2, the length in inches of the second base of the trapezoid.

12(4.5+b2)(6)=21

Answer:

Step-by-step explanation:

Answer:

x = 6

Step-by-step explanation:

To solve, move all the x’s to one side and all the numbers. Remember when moving numbers to the other side of an equation, the sign changes from either a positive to a negative or vise versa.

9 + 3 = 4/3x + 2/3x

Next, add the like terms.

9+3=12

When adding fractions, add the numerator (top number), but first change denominator (bottom number) if not the same. Here, we don’t need to.

4/3x+2/3x=6/3x

So,

12 = 6/3x

Then, we have to divide each side by 6/3 to make the x alone.

12/6/3 = 6/3x/6/3

To divide with fractions, multiply the reciprocal (opposite number on number line):

12/1·3/6 = x

36/6 = x

6 = x

Answer: intrest is the last one but i cant answer the others sorry

Step-by-step explanation:

i tried

Answer:

1.5

Step-by-step explanation:

Answer: 131 miles; 21 x 3 = 63 + 17 x 4 = 68. 63 + 68 = 131 miles

Hence, the cyclist ride in [tex]7[/tex] hour is [tex]131[/tex]miles.

What is the speed?

The magnitude of the change of its position over time or the magnitude of the change of its position per unit of time; it is thus a scalar quantity.

Here given that,

A cyclist rode at a constant speed of [tex]21[/tex]mph for [tex]3[/tex] hours. Then she decreased her rate of speed to [tex]17[/tex] mph for [tex]4[/tex] hours.

[tex]21[/tex] x [tex]3[/tex]  [tex]=63 + 17 (4)[/tex]

[tex]= 131[/tex] miles

Hence, the cyclist ride in [tex]7[/tex] hour is [tex]131[/tex]miles.

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Answer:

x = 3 and x = -2/7

Step-by-step explanation:

you can multiple -6 by 7 = -42

and then find what adds into -19 but can multiply together to get -42.

In this case (x-21)(x+2) would work

then you have to divide out your 7 from both numbers,

(x-21/7)(x+2/7)

then you have to make them equal to zero

x-21/7 = 0                =   x = 21/7 = 3

x+2/7 = 0                 =   x = -2/7

so your final answer is x = 3 and x = -2/7

Answer: quantity of water added = 19.6 quarts

Step-by-step explanation:

Let x= quantity of water added

Then, Quantity of saline in 7 quarts solution  = 19% of 7 = 0.19 (7)=1.33 quarts [to remove % divide number by 100]

When x quarts water is added , the quantity of solution becomes = x+7

Quantity of saline in it= 5% of (x+7)= 0.05(x+7)

Now, quantity of saline remains same, so

[tex]1.33= 0.05(x+7)\\\\\Rightarrow\ 1.33x=0.05x+0.35\\\\\Rightarrow\ 1.33-0.35=0.05x\\\\\Rightarrow\ x=\dfrac{0.98}{0.05}=19.6[/tex]

Hence,  quantity of water added = 19.6 quarts

Answer:

D. 1 : 2

Step-by-step explanation:

Given:

A(-6, -2),

B(6, 7),

C(-2, 1)

Required:

Ratio of AC : CB

SOLUTION:

Find AC:

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

Let,

[tex] A(-6, -2) = (x_1, y_1) [/tex]

[tex] C(-2, 1) = (x_2, y_2) [/tex]

[tex] AC = \sqrt{(-2 -(-6))^2 + (1 -(-2))^2} [/tex]

[tex] AC = \sqrt{(4)^2 + (3)^2} [/tex]

[tex] AC = \sqrt{16 + 9} = \sqrt{25} [/tex]

[tex] AC = 5 [/tex]

Find CB:

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

Let,

[tex] C(-2, 1) = (x_1, y_1) [/tex]

[tex] B(6, 7) = (x_2, y_2) [/tex]

[tex] CB = \sqrt{(6 -(-2))^2 + (7 - 1)^2} [/tex]

[tex] CB = \sqrt{(8)^2 + (6)^2} [/tex]

[tex] CB = \sqrt{64 + 36} = \sqrt{100} [/tex]

[tex] CB = 10 [/tex]

Find AC : CB

AC : CB = 5 : 10 = 1 : 2

Answer:

The lines beside the -3 on the left invert the negative/positive.

Step-by-step explanation:

See answer

Let, speed of car B is -x.

So, speed of car A is x + 10.

Relative speed of A w.r.t B is ,

[tex]v_{ab}=(x+10)-(-x)\\\\v_{ab}=2x+10\ mph[/tex]

So, time taken by A to travel 300 miles relative to B given by 3 hours .

[tex]v_{ab}=2x+10\\\\\dfrac{300}{3}=2x+10\\\\x = 45 \ mph[/tex]

Therefore, speed of car A is 45 + 10 = 55 mph.

Hence, this is the required solution.

Answer:

30 bro cmon

Step-by-step explanation:

it's acute so the smallest would make sense cmon bruh u better than that

Answer:

30−2(32+6)

=30−2(9+6)

=30−(2)(15)

=30−30

=0

Answer:

Step-by-step explanation:

his salary  S is raised by 300 dollars

Algebraic expression

s+120

pls try to answer my question

i have to do it as soon as possible

Answer:

50,000 + 3,000 + 200 + 70 + 4

Step-by-step explanation:

Expand. Set all non-zero digits by itself:

53,274 = 50,000 + 3,000 + 200 + 70 + 4

Remember to fill in 0 for all digits. They must keep their value.

~

Answer:

The maximum height of the volleyball is 12.25 feet.

Step-by-step explanation:

The height of the volleyball, h(t), is modeled by this equation, where t represents the  time, in seconds, after that ball was set :

....(1)

The volleyball reaches its maximum height after 0.625 seconds.

For maximum height,

Put

Now put t = 0.625 in equation (1)

Hope this helps!!

Answer:

-7.5=x

Step-by-step explanation:

9x+13=7x

13=-2x

-7.5=x

Answer:

17

Step-by-step explanation:

Answer:

-2

Step-by-step explanation:

42/-6+5

-7+5 = -2

The distributive property needs to be applied to determine the value to add to the left side of the equation to balance the sides of the equation.

The quadratic equation is an equation of the form; y = ax^2 + bx +c. It a polynomial equation of degree  2.

Note that; the reason why the term b^2 / 4a^2 is not added to the left side of the equation is because the distributive property needs to be applied to determine the value to add to the left side of the equation to balance the sides of the equation.

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Answer:

Answer is B Ed2020

Step-by-step explanation:

trust me

Answer:

4 units to the left of 3 7 units to the left of 3 4 units to the right of 3 7 units to the right of 3

Step-by-step explanation:

Answer:

-4

Step-by-step explanation:

Add 3 units to the right

Subtract 7 units to the left

Total = 4 units to the left

Or you can say -4

I hope this helps you :)

Answer:

x = 1

Step-by-step explanation:

7x-7=2x-2

5x = 5

x = 1

Answer:

slope is -x. Or -1/1.

Step-by-step explanation:

U can use the slope formula.

Answer:

What is 18/4 Simplified? - 9/2 is the simplified fraction for 18/4.

Step-by-step explanation:

Answer:

- 9/2

Step-by-step explanation:

Answer:

The answer is 369/ 7n ^3

Step-by-step explanation:

You convert the mixed number into an improper fraction-

369/7 / n^3

Next you simplify the complex fraction-

369/ 7n ^3

The solution is- 369/ 7n ^3

Hope this helps you! :) <33

Answer:

A: 2x+1= -1/4x+3

Let's see what to do buddy...

____________________________

Reminder:

[tex](a + b)(a - b) = {a}^{2} - {b}^{2} [/tex]

So we need to just Multiply above equations like this :

[tex]x + y = 70[/tex]

[tex]x - y = 40[/tex]

[tex](x + y)(x - y) = 70 \times 40[/tex]

[tex] {x}^{2} - {y}^{2} = 2800 [/tex]

____________________________

And we're done.

Thanks for watching buddy good luck.

♥️♥️♥️♥️♥️

Answer:

y=x+4

Step-by-step explanation:

Slope is positive and it goes up by 1 so it is just 1 and the y-intercept is 4 so it is y=x+4

Answer: srry i think it is y = mx + b, where m is the slope and b is the y-intercept. Slope-intercept is the form used most often as the simplified equation of a line.

Step-by-step explanation: where m is the slope and b is the y-intercept. Slope-intercept is the form used most often as the simplified equation of a line.