11. The slope of a line is 1/5. Label the two right
triangles with dimensions that would allow the
triangles to lie on the same line.

Answer:

purple = 6

orange = 4

blue = 2

red = 5

green = 3

Step-by-step explanation:

hope this helped

Answer:

Step-by-step explanation:

hope this helps

Answer:

-2

Step-by-step explanation:

So, for this question all it is asking you to do is plug in the x and y values.

Answer: -2

Step-by-step explanation:

-5 + 3 = -2

-6 - -2 = -4

-4/2 = -2

Answer:

The diver will hit the water at 1.5 seconds

Step-by-step explanation:

Given

[tex]h= -16(t-1.5)(t+1)[/tex]

Required (Missing from the question)

When will the diver hit the water?

To do this, we simply solve for t

When the diver hits the water, the height is 0 (at that point)

So, substitute 0 for h in [tex]h= -16(t-1.5)(t+1)[/tex]

[tex]0= -16(t-1.5)(t+1)[/tex]

Divide both sides by -16

[tex]\frac{0}{-16} =\frac{-16(t-1.5)(t+1)}{-16}[/tex]

[tex]\frac{0}{-16} =(t-1.5)(t+1)[/tex]

[tex]0 =(t-1.5)(t+1)[/tex]

[tex](t-1.5)(t+1)=0[/tex]

Split

[tex]t - 1.5 = 0[/tex] or [tex]t + 1 = 0[/tex]

Solve for t

[tex]t = 1.5[/tex] or [tex]t = -1[/tex]

But time (t) can not be negative.

So:

[tex]t = 1.5[/tex]

Hence, the diver will hit the water at 1.5 seconds

Answer:

There are 250 home section and 2(250) = 500 visitor section.

Step-by-step explanation:

Let there are h number of seats in the home section and v is the number of seats in the visitor section.

h+v = 750 ...(1)

There are twice as many seats in the home  section as there are in the visitor section.

v = 2h ...(2)

From equations (1) and (2).

h+2h = 750

3h = 750

h = 250

Hence, there are 250 home section and 2(250) = 500 visitor section.

Answer:

I think the answer is 288.

Step-by-step explanation:

The rule seems to be multiplying the past number by 2. So, 9*2=18 and 18*2=36. If we continued that rule we would then get 72, 144, and the sixth term is then 288.

hope this helps :D

Answer:

Step-by-step explanation:

This is a geometric sequence because any term divided by the previous term is a constant called the common ratio. r=36/18=18/9=2 A geometric sequence is expressed as

[tex]a_n=ar^{n-1},\text{ where a=initial term, r=common ratio, n=term number}\\ \\ a_n=9(2^{n-1})\\ \\ a_6=9(2^5)\\ \\ a_6=288[/tex]

Answer:

211 base 4

Step-by-step explanation:

Sum of dora and Ann = (133+131) base 4

= 330 base 4

Difference = (330-113) base 4

= 211 base 4

Answer:

Option A i.e. 8, 3, -2, -7, ... is correct.

Step-by-step explanation:

Let us check the sequence given in option A

[tex]8, 3, -2, -7, . . .[/tex]

An arithmetic sequence has a constant difference '[tex]d[/tex]' and is defined by  

[tex]a_n=a_1+\left(n-1\right)d[/tex]

determine the differences of all the adjacent terms of Arithmetic sequence

[tex]3-8=-5,\:\quad \:-2-3=-5,\:\quad \:-7-\left(-2\right)=-5[/tex]

The difference between all the adjacent terms is the same and equal to

[tex]d=-5[/tex]

Therefore, we conclude that the arithmetic sequence 8, 3, -2, -7, ... has a common difference -5.

Hence, option A i.e. 8, 3, -2, -7, ... is correct.

Answer:

8, 3, –2, –7, . . .

Step-by-step explanation:

Answer: 21.

Step-by-step explanation: If you do '90 x 7' you get 630. With this, you will want to divide 630 by 30. So to simplify this, '(90 x 7) ÷ 30 = 21'

Answer:

DADDY CHILL

Step-by-step explanation:

Answer:

B

Step-by-step explanation:

98+g=150

98+g-98=150-98

g = 52

Answer:

[tex]Q =2\frac{1}{2}[/tex] or [tex]Q =- 10\frac{1}{2}[/tex]

Step-by-step explanation:

Given

[tex]P = -4[/tex] --- missing from the question

[tex]Distance = 6\frac{1}{2}[/tex]

Required

Determine the possible value of Q

The distance can be calculated using absolute function as:

[tex]Distance = |Q - P|[/tex]

Substitute values for distance and P

[tex]6\frac{1}{2} = |Q - (-4)|[/tex]

[tex]6\frac{1}{2} = |Q +4|[/tex]

The absolute function can then be split as:

[tex]6\frac{1}{2} = Q + 4[/tex] or [tex]-6\frac{1}{2} = Q + 4[/tex]

Make Q the subject in both cases:

[tex]Q = 6\frac{1}{2} - 4[/tex] or [tex]Q = -4 - 6\frac{1}{2}[/tex]

[tex]Q =2\frac{1}{2}[/tex] or [tex]Q =- 10\frac{1}{2}[/tex]

Answer:

(x+1)(x+8)

Step-by-step explanation:

Those are the factors of x^2+9x+8

Answer:

y=x+2.4

Step-by-step explanation:

r³

hope this helps you

.

.

.

Answer:

Step-by-step explanation:

There is an error in the question. 6x+4y = 48

Multiply first equation by 10:

20x+10y = 50

Divide second equation by 2:

3x+2y = 24

50>24, so 20x+10y > 3x+2y

Answer:

$720

Step-by-step explanation:

Answer:

-4, -2, -1

Hope that helps!

Step-by-step explanation:

Answer:

Step-by-step explanation:

geometric sequence with common ratio = 1/2

a₅ = a₄(1/2) = -4

a₆ = a₅(1/2) = -2

a₇ = a₆(1/2) = -1

Answer:

a) -0.25 and 1.25

b) -0.5 and 1.5

Step-by-step explanation:

a) For 4x^2-4x -1 = 0

What we have to do here is to simply find he points on the x-axis in which the graph crosses it

we have this as;

approximately-0.5 and 1.5

what we are saying is that the plot crosses the x-axis at x = -0.25 and x = 1.25

ii) what we have to do here is to find the point at which y = 2

After finding this point, we trace it to the plot sideways, before we trace to the x-axis

By tracing, we have the crossing on the x-axis at these points at -0.5 and 1.5

Answer:

[tex]\boxed{\textsf{ The slope of the line is $\bf{\dfrac{3}{2}}$.}}[/tex]

Step-by-step explanation:

Two points are given to us and we need to find the slope of the line that passes through these two points . The two points are (3,-2) and (9,-2) .As we know that the slope of the line is given by [tex]\tan\theta[/tex]

Slope of a line is :-

[tex]\qquad\boxed{\boxed{ \sf Slope =\dfrac{ y_2-y_1}{x_2-x_1}=\tan\theta }}[/tex]

On using this formula we can find the slope of the line .

Putting the respective values :-

[tex]\sf\implies Slope = \dfrac{y_2-y_1}{x_2-x_1}\\\\\sf\implies Slope = \dfrac{ 9-3}{2+2} \\\\\sf\implies Slope =\dfrac{6}{4}\\\\\sf\implies\boxed{\pink{\sf Slope = \dfrac{3}{2} }}[/tex]

Answer:

Its zero -w-

Step-by-step explanation:

Answer:

n=m+1

Step-by-step explanation:

7m+2=7n-5

add 5 to each side

7m+7=7n  or 7n=7(m+1)

divide both sides by 7

n=m+1

Answer:

We have that 7m + 2 = 7n - 5

If we want to get n, you can use operations in both sides of the equation to make n the independent variable.

First, from 7m + 2 = 7n - 5, we can sum to both sides 5

7m + 2 + 5 = 7n - 5 + 5

7m + 7 = 7n

Now, we can devide both sides by 7:

(7m+7) /7 = 7n/7

7m/7 + 7/7 = n

m + 1 = n

Answer:

x=18 y=69

Step-by-step explanation:

3x+5y=399

x+5y=363

2x=36

x=18

18+5y=363

5y=345

y=69

Answer:

[tex]\displaystyle d = \sqrt{29}[/tex]

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Algebra I

Algebra II

Step-by-step explanation:

Step 1: Define

Point C(-5, -2)

Point D(0, -4)

Step 2: Find distance d

Simply plug in the 2 coordinates into the distance formula to find distance d

Answer: No, the bank will not keep charging her the $5.95 after the deposit is made.

Step-by-step explanation:

Today, Lin's sister's balance is -$2.67

She gets charged $5.95 per day.

There are 14 days until she can charge some money in the bank account, so the bank will charge $5.92 14 times

So her balance after 14 days will be:

Balance = -$2.67 - $5.95*14 = -$85.97

When she charges the $430 in the account, her balance will be:

Balance = -$85.97 + $430 = $344.03

So now she has a positive balance, which means that the bank does not charge her anymore.

Answer:

According to the question z must be equal to 4. So value of a+b=z or a+b=4

Lets try each of the options

A) a+b

1.6+2.3=3.9 which is not equal to 4

So option a is not the asnwer.

B) a+b = 1.6+2.5= 4.1 which is not equal to 4

C) a+b= 1.9+2.1= 4.00 which is equal to 4

D) a+b= 2.1+3.4= 5.5 which is not eqaul to 4

Thus, we have OPTION C AS THE CORRECT ANSWER

Answer:

It's NOT C, it's D!

Step-by-step explanation:

Answer:

29% of the drive

Step-by-step explanation:

The plot of the problem is:

Transmitter at origin (0,0)  

City to the north at (0,70)

City to the east at (74,0)

The path from city to city is a line with slope:

m = (-70)/74 = -35/37

and y-intercept at y = 70, so the equation is y = (-35/37)*x + 70.

The transmitter reach the area enclosed by the next circle:

x^2 + y^2 = 53^2

See the picture attached

The intersection is gotten from the picture or solving:

x^2 + [(-35/37)*x + 70]^2 = 53^2

the points approximately are: (24.1, 47.2) and (45.8, 26.7)

From Pythagorean theorem the total distance of the trip is:

d1 = √(70^2 + 74^2) ≈ 101.9 miles

And the distance when the signal is picked up is:

d2 =√ [(45.8 - 24.1)^2 + (47.2 - 26.7)^2] ≈ 29.9 miles

You will pick up a signal from the transmitter in (d2/d1)*100 = 29% of the drive.

Answer:

34

Step-by-step explanation:

the equation is 2(lw+lh+wh)

2( 1.5 x 2 + 1.5 x 4 + 2 x 4)

Answer:

Step-by-step explanation:

surface area=2lb+2(l+b)h

=2×1.5×2+2(1.5+2)×4

=6+2×3.5×4

=6+28

=34 sq. m