Find the slope of the line that passes through (5,2) and (10,7).

Approximate the answer to two decimal places.

Answer:

[tex](x + 3)(x - 5)(x-3)<0[/tex]

Step-by-step explanation:

Given

[tex](x + 3)(x^2 - 8x + 15)<0[/tex]

Required

Complete the factoring

[tex](x + 3)(x^2 - 8x + 15)<0[/tex]

Expand

[tex](x + 3)(x^2 - 3x - 5x+ 15)<0[/tex]

Factorize:

[tex](x + 3)(x(x - 3)-5(x-3))<0[/tex]

Factor out x - 3

[tex](x + 3)(x - 5)(x-3)<0[/tex]

The expression has been completely factored

Answer:

Reflected across thhe Y-Axis (I think thats what your looking for)

Answer:

x = 17

Step-by-step explanation:

x + 73 = 90

x = 90 - 73

x = 17

Step-by-step explanation:

GDP per capita =

Total GDP / Total Population

[tex] = \frac{42.29 \times {10}^{9} }{10123540} \\ = 4177.39[/tex]

in dollars.

Note billion = 10^9.

Answer:

RQ = RS = 3

Step-by-step explanation:

Since RQ and RS are radii of the circle then they are congruent

let RQ and RS be x , then

Using Pythagoras' identity in right triangle QRS

x² + x² = (3[tex]\sqrt{2}[/tex] )²

2x² = 18 ( divide both sides by 2 )

x² = 9 ( take the square root of both sides )

x = [tex]\sqrt{9}[/tex] = 3

Thus RQ = RS = 3

Answer:

The displac ment between t = 1 and t = 4 is 272 feet

Step-by-step explanation:

To get the displacement of the ball, we first need to get the equation for the position of the ball with respect to time.

We can do this by differentiating the velocity equation given:

v(t) = -32t +96

integrating between the limits of t = 1 and t = 4, we have

[tex]s = \int\limits^4_1 {-32t +96} \, dt[/tex]

[tex]s(t) = -32t^2/2 +96t[/tex]

[tex]s =[ -16t^2 +96t] t = 4, t =1[/tex]

where t = 4.

s = 256 + (96) =352 feet

Where t = 1

s = 80

Displacement of the ball = 352 -80 = 272ft

The displac ment between t = 1 and t = 4 is 272 feet

Answer: 120

Step-by-step explanation:

If you want the explanation tell me in the comments.

Answer:

See explaination and answer below

Step-by-step explanation:

Relationship:

Complementary angles add up to 90 degrees

JKL + MNP = 90

Solve for x:

(2x - 3) + (5x + 2) = 90

7x - 1 = 90

7x = 91

x = 13

Solve for JKL:

JKL = 2x - 3

JKL = 2(13) - 3

JKL = 23 degrees

Solve for MNP:

MNP = 5x + 2

MNP = 5(13) + 2

MNP = 67

Check work:

67 + 23 = 90

Please mark brainliest if this helped!

Please mark brainliest if this helped!

Answer: First you have to know that complementary mean 90*

Step-by-step explanation:(2x-3)+(5x+2)=90

2x - 3 + 5x + 2=90

7x-1=90

7x=90+1

7x=91

x=91/7

x=13

Answer:

9x - 5 = 6

9x = 6 + 5

9x = 11 (divide both sides by 9 to get x)

9x/9 = 11/9

x = 1.22222222222

Answer:

Is to place a ' or a prime

ΔA'B'C'

Answer:

One way to name a transformed figure is to place a apostrophe after each letter in the

name of the original figure. For example, a reflection of ΔABC is named ΔA'B'C' (pronounced A prime B prime C prime).

Step-by-step explanation:

Answer:

I think you need to find the area of bottom part hope this helps im confused two but try that

Answer:

ok queen

Step-by-step explanation:

Answer:

21

Step-by-step explanation:

Answer:m

Step-by-step explanation:

n

Answer:

30 is correct answer. ... ...........

Answer:

Option B

Step-by-step explanation:

Given the corrected equations from the comment:

Y = -1/2x - 1

Y = 1/4x - 4

(I am assuming from the answer choices  that the 1/2 is negative)

Use a graphing tool to graph the given equations.

When graphed, the lines pass the point (4, -3).

See graph below.

Option B should be the correct answer.

Hope this helps.

Answer:

B x=13.5; y=10

this is answer

Step-by-step explanation:

Answer:

Jim drove the truck 156 miles

Step-by-step explanation:

Represent the number of miles driven with x.

Then the formula for the total rental cost is C(x) = $17.95 + ($0.87/mile)x, and this comes to $153.67.  Solve for x:

$153.67 - $17.95 = ($0.87/mile)x, or

$135.72 = ($0.87/mile)x

Dividing both sides by ($0.87/mile), we get:

x = 156

Jim drove the truck 156 miles

Answer:

no solution

Step-by-step explanation:

Answer:

If the slope is different - always one solution

if the slope is the same but the y intercept is different - no solution

if the slope and y intercept are the same - infinite number of solutions

Answer: 345.977 m^3

Step-by-step explanation:

Answer:

(3+ 5)2=8*2=16

Step-by-step explanation:

Answer:

16

Step-by-step explanation:

(3+1*5)2

B- brackets

I- indices

D- division

M- multiplication

A- addition

S- subtraction

1*5=5

5+3=8

8*2=16

Answer:

The answer is 8 quarters, 16 nickles, and 32 dimes

Step-by-step explanation:

Hope this helped :)

Answer:

A. DEF=EDF

Step-by-step explanation:

Answer:

1) 23^a+b

2) 5^5

3) 11^x-y

4) 2^10

Step-by-step explanation:

if they have the same base numbers then they are pretty easy to combine. multiplication means you add the exponents, and division means you subtract the exponents. for number 2, you would make them the same base by making 25 -> 5^2 and then just add the exponents.

Answer:

12 years

Step-by-step explanation:

Represent the mother's age by m and the son's by 4.  Currently m = 36 years old.

In x years the mother will be three times as old as her son:

mother:  36 + x years old

son:  4 + x years old

The pertinent equation to solve is:

36 + x = 3(4 + x)

Performing the multiplication, we get:

36 + x = 12 + 3x, or

24 = 2x.  Then x = 12.

Check:  In 12 years, will the mother's age be 3 times the son's age?

Does 36 + 12 = 3(4 + 12)?

Does    48      = 48?  YES

The mother will be 3 times as old as her son in 12 years from now.

Answer:

I think 96° but not fully sure sorry if wrong

Answer:

120.7 cm²

Step-by-step explanation:

2( 1 + √2 ) a² = 2( 1+ √2 ) · 5² ≈ 120.7