x^{2}-3x-40=0x
2
−3x−40=0

Step-by-step explanation:

step 1. (13x + 8) + (2x + 7) = 180 (definition of same side interior angles)

step 2. 15x + 15 = 180 (like terms)

step 3. 15x = 165 (subtract 15 from each side)

step 4. x = 11. (divide both sides by 15)

Answer:

172 is the 34th term

Given :

Base area of Ms. Jones decorative pyramid = 6 inches²

Height of the decorative pyramid = 15 inches

We know that :

[tex]\color{hotpink}\tt \: volume \: of \: a \: triangular \: pyramid\color{plum} \tt \: = \frac{1}{3}Bh [/tex]

Volume of the decorative pyramid :

[tex] =\tt \frac{1}{3} \times 15 \times 6[/tex]

[tex] =\tt \frac{15 \times 6}{3} [/tex]

[tex] =\tt \frac{90}{3} [/tex]

[tex]\color{plum} =\tt 30 \: {inches}^{3} [/tex]

Therefore, the volume of the decorative pyramid with Ms. Jones = 30 inches³

Answer:

12 :)

Step-by-step explanation:

np

Answer:

12 :0

Step-by-step explanation:

Answer:

35 c 36 d

Step-by-step explanation:

Answer:

Given :  A toy car is placed on the floor. Its movement details are given

To find : Distance covered by Car & graph to be plotted

Solution:

Start from rest

u = 0  at  t = 0

Constant acceleration for 3 sec reaching velocity 4 m/s

V = U +at

=> 4 = 0 +  a(3)

=>a = 4/3  m/s²

Distance here  S = ut + (1/2)at²

S = 0 + (1/2)(4/3)3²

=> S = 6 m

deceleration of 0.5 m/s² for 4 sec

=> v = 4  - (0.5)4

=> v = 2 m/s

Distance here   =  4(4)  - (1/2) (0.5)4²

= 16 - 4

= 12 m

Total Distance = 6 + 12 = 18 m

Total Distance traveled by toy Car = 18 m

Graph attached

Learn more:

Figure given below shows the graph of velocity v ofparticle moving ...

brainly.in/question/11151179

Figure given below shows the graph of velocity v ofparticle moving ...

brainly.in/question/10432386

The graph represents Jason's speed on a recent trip. For which time ...

Step-by-step explanation:

Answer:

y=2x-1

y-7=2(x-4)

2x-y-1

//

y=4x+7

y--1=4(x--2) = y+1=4(x+2)

4x-y+7

//

y=1/2x-8

y--4=1(x-8) = y+4=1(x-8)

1x-y-12

Step-by-step explanation:

here u go

Answer:

The answer is (3,-2)

Step-by-step explanation:

[tex] \frac{1}{3} x - 3 = - 2x + 4 \\ \frac{1}{3} x + 2x = 7 \\ \frac{7}{3} x = 7 \\ x = 3 \\ then \: \\ y = - 2[/tex]

Answer:

y = 10 and x =18

Step-by-step explanation:

From the parallelogram,

DH + HF = DF

x+2 + 2y = DF

Also DH = HF

x+2 = 2y

x - 2y = -2 .... 1

Also GH = HE

3x-3 = 5y+1

3x - 5y = 1 + 3

3x-5y = 4 .... 2

Solve  1 and 2 simultaneously

x - 2y = -2 .... 1 * 3

3x-5y = 4 .... 2 * 1

_____________

3x-6y = -6

3x-5y = 4

Subtract

-6y + 5y = -6-4

-y = -10

y = 10

Substitute y = 10 into 1

x- 2y = -2

x - 2(10) = -2

x - 20 = -2

x = -2+20

x = 18

Hence y = 10 and x =18

Answer:

2

Step-by-step explanation:

(6*2.5)/6.5 = 30/13

Answer:I think its B 30/13

Step-by-step explanation:

I used a calculator

Answer:

23.5

Step-by-step explanation:

Answer:

23.5

Step-by-step explanation:

Remember...

5 or more? raise the score, 4 and below let it rest

The number in the tenths place, in this case, is 5 and the number next to it is 4, and since 4 is less than 5, you do not round 5 up to 6, you simply leave it alone!

Answer:

I have no example to go off

Step-by-step explanation:

Answer:14.4

Step-by-step explanation:

Answer:

C. 14 feet

Step-by-step explanation:

THIS IS TO FIGURE OUT THE TRIANGLE

You have to do the Pythagorean Theorem, which is a² + b² = c²

Since h is the entire piece of wood including the additional 2 feet, I will use m as variable for triangle

Fill in for variables: 5² + m² = 13²

Simplify: 25 + m² = 169

Subtract 25 from both sides: m² = 144

Square root both sides to get m alone: m = 12

Now, you have to add the additional 2 feet above the triangle: 12 + 2 = 14

Therefore, h=14

Answer:

12

Step-by-step explanation:

The only answer that makes sense. If you use pythagorean theorem which is a^2+b^2=c^2, and c is the hypotenuse, which is the slanting side, you do this

12^2+5^2=13^2?

144+25=169

169=169

it checks!

Answer:

Look below

Step-by-step explanation:

-x*3x*2x=6x^3

-6x^3<900

-(cube root both sides)

-6x<9.654893846

-divide by 6

-x=1.609148974

And since 1.609148974 is less than 5, that means that X<5 is correct and hence proved

For given cuboid, x < 5

"It is a three-dimensional geometric structure that has six rectangular faces, twelve edges and eight vertices."

V = l × w × h

where, l: length of the cuboid

w: width of the cuboid

h: height of the cuboid

For given example,

We have been given the total volume of the cuboid is less than 900 cm^3

⇒ V < 900 cm³

the length of the cuboid (l) = 3x

the width of the cuboid (w) = 2x

the height of the cuboid (h) = x

Using the formula of the volume of the cuboid,

⇒ V < 900

⇒ l × w × h < 900

⇒ (3x) × (2x) × (x) < 900

⇒ 6x³ < 900

⇒ x³ < 150

⇒ x < 5.3

⇒ x < 5

Therefore, for given cuboid, x < 5

Learn more about the volume of the cuboid here:

https://brainly.com/question/23118276

#SPJ2

Answer:

c=l/--a^2+b^2=l/--45^2+20^2≈49.24429

Step-by-step explanation:

l/-- mean square root

^ means squared/ exponent

Answer:

Since they're asking you to find the missing sides "y" and "x" here's what you need to do....

Step-by-step explanation:

1) This is the 45-45-90 Triangle.

2) y = 20 becasue this is an isocelese triangle - meaning a triangle that has 2 sides of equal lengths!

3) in order to find x (which is the hyptoneus) you have to do

       [tex]\sqrt{2}[/tex] * leg (use on of the legs)

    =  [tex]20\sqrt{2}[/tex]

also I think 45 degrees is there just to throw you off. And I'm pretty positive this is the correct answer, and i'm 100% sure that y = 20 is correct!

I’m pretty sure it’d be y = -x - 2

lmk if it’s wrong.

Answer:

Step-by-step explanation:

a^2+b^2=c^2

17^2+7.6^2=c^2

[tex]\sqrt{17^2+7.6^2}[/tex]=c

c=18.6214

corrected to 1dp= 18.6 m

Answer:

A(1,4) B(2,0) C(5,1)

Answer:

y = (10 * 0.2) ^ x

Y = (2)^x

Y =  2^x + 10

6.5 hours

Step-by-step explanation:

Y is the number of people at the school who have been infected with the flu. The 10 is the initial number of infected students which is a constant so it does not change. The 0.2 is the rate of increase, or 20%. The x exponent is the number of hours so that is a changing number. Your answer is 2 to the power of the number of hours which is x. Add ten after that to get your number. to get 100 people ill, it would take about 6.5 hours.

Answer:

f = 4n

f = n+27

Fred is 36 years old and Nathan is 9 years old.

n = 9

Step-by-step explanation:

Answer:

Step-by-step explanation:

Ooh I love these type of problems

Okay, here we go :

f = Fred and n = Nathan

  f = 4n

  f = n + 27

Above are the two equations (the words translated into algebra)

Now you can solve using substitution (any method works, but substitution is easiest for this problem)

4n = n + 27

3n = 27

n = 9

Since n = 9 substitute n into either equation

f = 4 * 9

f = 36

Fred is 36 and Nathan is 9

lol :)

Answer:

.9

Step-by-step explanation:

Answer:

35

Step-by-step explanation:

Answer:

35

Step-by-step explanation:

Answer:

[tex]g^{-1}(x) =(\frac{x}{10})^{5} +2[/tex]

Step-by-step explanation:

So we have the function [tex]g(x)=10\sqrt[5]{x-2}[/tex]. To find the inverse, we first set the function equal to y:

[tex]y=10\sqrt[5]{x-2}[/tex]

Then, we switch all the y and x variables, like this:

[tex]x=10\sqrt[5]{y-2}[/tex]

Now, we solve for y to find the inverse function:

[tex]x=10\sqrt[5]{y-2}[/tex]

[tex]\frac{x}{10} =\sqrt[5]{y-2}[/tex]

[tex](\frac{x}{10})^{5} =y-2[/tex]

[tex](\frac{x}{10})^{5} +2=y[/tex]

[tex]y=(\frac{x}{10})^{5} +2[/tex]

[tex]g^{-1}(x) =(\frac{x}{10})^{5} +2[/tex]

Answer: Total (Bill + Tip ) = $ 16 ( Tip = 3$ )

Step-by-step explanation:

i only have the answer :3

Answer:

The x coordinate is negative, and the y coordinate is positive.

Hope that helps!

Step-by-step explanation: