The middle side of a triangle is half of 3 times the length of the shortest side. The longest side is 2 centimeters longer than the middle side. If the perimeter of the triangle is 18 centimeters what is the difference in the longest and shortest side

Answer:

[tex]-x^2+63x-130[/tex]

Step-by-step explanation:

When you put that into an equation:

[tex]x(88-x)-(130+25x)[/tex]

Next, solve.

[tex]\mathrm{Apply\:the\:distributive\:law}:\quad \:-\left(a+b\right)=-a-b[/tex]

[tex]-\left(130+25x\right)=-130-25x[/tex]

[tex]=x\left(88-x\right)-130-25x[/tex]

[tex]x(88-x):88x-x^2[/tex]

[tex]=88x-x^2-130-25x[/tex]

[tex]88x-x^2-130-25x =-x^2+63x-130[/tex]

Therefore, the profit if the cost of producing [tex]x[/tex] units is [tex]-x^2+63x-130[/tex], and there may be restrictions depending on conditions.

Answer:

no

yes

yes

no

no

yes

Step-by-step explanation:

a prime number cant be devided by any thing other than itself or one

Answer:

Step-by-step explanation:

Is 2 is 3 is 11 is 18 is 20 is 27

Answer:

27s

Step-by-step explanation:

d = distance to rendezvous point in miles

t = time of arrival at 10mph, i.e. 3 mins later than appointed time

10 mph = 10 miles per hour = ¹/₆ miles per min

12 mph = ¹/₅ miles per min

t = d/(¹/₆)

t = 6d

5 min = ¹/₁₂ hr

t - ¹/₁₂ = d/(¹/₅)

t = 5d + ¹/₁₂

Elimination of t:

6d = 5d + ¹/₁₂

d = ¹/₁₂ mi

t = 6(¹/₁₂)

t = ¹/₂ min

Time left to appointed time = ¹/₂ - ³/₆₀

= ¹⁰/₂₀ - ¹/₂₀

= ⁹/₂₀.min → 27 seconds

Answer:

27 min

Step-by-step explanation:

rsm

Answer:

[tex]3x - 5 = 7x + 11 \\ 7x - 3x = - 11 - 5 \\ 4x = - 16 \\x = - \frac{16}{4} \\ \color{yellow} \boxed{x =-4}[/tex]

Answer:

x= -4

Step-by-step explanation:

3x-5=7x+11

3x-5+5=7x+11+5

3x=7x+11+5

3x=7x+16

3x-7x=7x+16-7x

-4=7x+16-7x

-4x=16

divided each side by -4

x= 16 over -4

divide them and you get -4.

Answer: C 6 1/4

Step-by-step explanation:

2 1/2 % 2/5 = 25/4 = 6 1/4

Answer:

CORRESPONDING ANGLES

Step-by-step explanation:

Answer:

Corresponding angles i believe.

Step-by-step explanation:

Answer:

y=[tex]-\frac{3}{4}[/tex]x+2

Step-by-step explanation:

y=sx+2;

-1=4s+2;

s=-3/4;

y=[tex]-\frac{3}{4}[/tex]x+2

Answer:

20°

Step-by-step explanation:

Rotation is one of 3 basic rigid transformation, it will not change the original shape and size. Therefore angle B' should be still 20°

The degree measurement of angle B′ will be same as angle B that is 20°. Then the correct option is A.

A point, line, or geometric figure can be transformed in one of four ways, each of which affects the structure and/or location of the object.

From before the refers to the object's initial condition, and Picture, after transformation, refers to the object's ultimate structure and location.

Rotation does not change the shape and size of the geometry. But changes the orientation of the geometry.

If the geometry is rotated, then there is no change in anlges.

Britton rotated trapezoid ABCD 180° on the coordinate plane. If angle B is 20° and angle D is 90°.

The degree measurement of angle B′ will be same as angle B that is 20°.

Then the correct option is A.

More about the transformation of the shape link is given below.

https://brainly.com/question/27224339

#SPJ5

Step-by-step explanation:

je........porte

tu.......portes

nous.......portons

vous........portez

ils......portent

Answer:

Step-by-step explanation:

[tex]2^{(x+ 7)} + 2^{(x+ 6 )} = 2^{x} * 2^{7} + 2^{x}*2^{6}\\\\=2^{x} *(2^{7} + 2^{6})[/tex]

[tex]= 2^{x} * 2^{6} ( 2+ 1)\\\\= 2^{x} * 2^{6} * 3[/tex]

y = 3x +4

3 is the slope. Rise 3 run 1 or up 3 right 1.

4 is the y-intercept

Answer:

After 5 additional shots, the brothers will have a tied score.

Step-by-step explanation:

find equations

henry:

y-int is 15 because that is the starting number. the slope is 3 because that is how much his points are increasing for every successful shot. we can use this information to form this equation:

y = 3x + 15

brother:

y-int is 20 because that is the starting number. slope is 3 because that is how many points he gets for each successful shot. using this information, we can form the following equation:

y = 2x + 20

--

solve

y = 3x + 15

y = 2x + 20

3x + 15 = 2x + 20

x + 15 = 20

x = 5

--

graph

(just use desmos)

Answer:

The first three are functions

Step-by-step explanation:

4th one fails the Vertical line test.

Answer:

A

Explanation:

when A's function has x=1, the denominator would be 0, producing an asymptote. Looking at the function, there is an asymptote at x=1, which means it matches A.

If 6 bananas cost the same as 4 oranges. 3 lemons cost the same as 1 orange, one lime costs the same as half of one banana.

Let's assume the cost of one banana is represented by "B" and the cost of one orange is represented by "O". Based on the given information:

6 bananas cost the same as 4 oranges: 6B = 4O

3 lemons cost the same as 1 orange: 3L = 1O

2 limes cost the same as 1 lemon: 2L = 1O

Now, we need to find the cost of one lime in terms of bananas:

From equation 3, we can rewrite it as: L = (1/2)O

Substitute the value of O from equation 2 into the above equation: L = (1/2) * 3L

Now, we have the cost of one lime in terms of lemons. From equation 2, we know 3 lemons cost the same as 1 orange, so we can rewrite it as: L = (1/2) * (1/3)O

Now, substitute the value of O from equation 1 into the above equation: L = (1/2) * (1/3) * 6B

L = (1/2)B

Therefore, one lime costs the same as half of one banana.

To learn more about proportion click on,

https://brainly.com/question/15259359

#SPJ4

Here are your answers.

it's made by computer.

- BRAINLIEST answerer

Answer:

z = 6

Step-by-step explanation:

- 2.3z = - 13.8 ( divide both sides by - 2.3 )

z = [tex]\frac{-13.8}{-2.3}[/tex] = 6

Answer:

C or the min of f(x) is greater

Step-by-step explanation:

2,8 is the vertex which higher than the vertex of g(x)

Answer:

I don't understand please elaborate more your given question.

Step-by-step explanation:

Answer:

12

Step-by-step explanation: Express your length and width as algebraic expressions:

width = x

length = 3

Use the formula for the perimeter of a rectangle to solve for x:

4 x 3 = 12

width = 12

length = 3

______

[tex] \: [/tex]

[tex] \tt5 - 6x = 8x + 17[/tex]

[tex] \longmapsto \tt \: x = \frac{5 - 17}{ - 6 + 8} [/tex]

[tex] \longmapsto \tt \: x = \frac{ - 12}{8 - 6} [/tex]

[tex] \longmapsto \tt \: x = \frac{ - 12}{ 2} [/tex]

[tex] \longmapsto \tt \: x = \boxed{ \blue{ - 6}}[/tex]

Answer: -10

Step-by-step explanation:

When you plug in 0 for f(x) you get 0-0-12 which is -12. When you plug in 0 for g(x) you get 0+2 which is 2. When you do -12+2 you get -10.

Answer:

x = -3

Step-by-step explanation:

Answer:

x=-3

Step-by-step explanation:

You can just do +x on both sides so: 0=3+x and then -3 on both sides: -3=x.

Answer:

-1/6

Step-by-step explanation:

apply fraction rule to get 1/2(-3)

Multiply the numbers to get 1/-6

apply fraction rule to move negative to make

-1/6

1/2 divided by (-3) = -1/6 or -0.1666666667.

Answer:

Step-by-step explanation:

We know that:

We observe the denominator of the first expression is same as the product of the denominators of the second expression.

Compare the numerators and solve for b:

Answer:

4720

Step-by-step explanation:

got it from here so should be right.