A linear function has a y-intercept of 3 and passes through the point (3, 7). Tom compared the slope of the function to the slope of 4x - y = 5. What is the difference in the two slopes?

The Consecutive interior angles theorem can be used to show that the lines AB and CD are parallel

An angle is formed from the intersection of two or more lines. Types of angles are acute, obtuse, right angle.

The consecutive interior angle theorem states that if a pair of parallel line is intersected by a transversal, the pair of consecutive interior angles formed is supplementary

The Consecutive interior angles theorem can be used to show that the lines AB and CD are parallel

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It takes the diver 5 s to reach the water.

These are mathematical equations in which the highest power of the unknown is 2 and in factored form are written as f(x) = (x -a)(x - b)

Since the Olympic divers height in feet above the water can be modeled by the function f(x) = -2(x-5)(x+1), where x is the time in seconds after he begins the dive.

The diver reaches the top of the water when f(x) = 0.

So, equating f(x) to zero, we have

f(x) = 0

-2(x-5)(x+1) = 0

Dividing through by -2, we have

(x-5)(x+1) = 0

So, (x - 5) = 0 or (x + 1) = 0

x = 5 or x = -1

Since time cannot be negative, x = 5 s.

So, it takes the diver 5 s to reach the water.

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Answer:

C. Is the answer

Step-by-step explanation:

Hope it helps

Step-by-step explanation:

i used the two methods....I hope this will help you!

Answer:

okay that is great.......?

answer:

the full answers for it

Step-by-step explanation:

Answer:

A

Step-by-step explanation:

calculate 20% of $88

[tex]\frac{20}{100}[/tex] × $88 = 0.2 × $88 = $17.60

Answer:

B and C

Step-by-step explanation:

Answer:

-15/-3,-5/-1

Step-by-step explanation:

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Answer:

You need to find what X= then put the answer in the box to the left

Step-by-step explanation:

Answer:

60t = y

t; time in hours

60: Speed of the spy fleeing

y: how far he has gone in t hours

Hope this helps!

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Step-by-step explanation:

Answer:

11.42

Step-by-step explanation:

Answer:

[tex] \dfrac{x^5}{y^{10}} [/tex]

Step-by-step explanation:

[tex] \dfrac{x^2y^{-6}}{x^{-3}y^4} = [/tex]

[tex] = x^{2 - (-3)}y^{-6 - 4} [/tex]

[tex] = x^5y^{-10} [/tex]

[tex] = \dfrac{x^5}{y^{10}} [/tex]

Answer:

Area of a Rectangle: l x w

2 x 3 = 6

Area of a Triangle:

[tex] \frac{b \times h}{2} [/tex]

The slanted height of the triangle is 2 and the base of the triangle is also 2 so

[tex] \frac{2 \times 2}{2} \\ \\ \frac{4}{2} = 2[/tex]

So to get the area of the figure you add the area of the rectangle plus the area of the triangle.

6+2=8

The area of the figure is 8 units square

Answer:

Its 452.16

Step-by-step explanation:

Because the formal is  [tex]\pi[/tex]r2

Which is 3.14*12*12=452.16

Minus square root of 2, minus square root of 3, minus pi, minus e, etc. Or, to be a bit more fancy, 1 - pi, 2 - pi, 3 - pi, pi - 4, pi - 5, 2 - e, e - 3, square root of 2 minus 2, etc.

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Answer:

1/8

Step-by-step explanation:

●●○•°°°□□●○○○○○••••

Divide total made by total hours:

20.40 / 3 = $6.80 per hour

Answer:

See below.

Step-by-step explanation:

Divide the amount of money by the time.

20.4/3=6.8

So, alex earned $6.80 per hour.

-hope it helps

Answer:

794 stamps in his collection

Step-by-step explanation:

If Amir started out with 397 stamps and doubles his collection, he would have 794.
Take the original amount and multiply it by 2

397(2) =794 stamps

Answer:794

Step-by-step explanation:

397x2=794  

Answer:

A, E, B

Step-by-step explanation:

Answer:

C) 42 square cm

Step-by-step explanation:

each rectangle 2x3 = 6

each square 3x3 =9

4 rectangles 4x6 = 24

2 squares     2x9=18

24+18 = 42

96cm

Step-by-step explanation:

From the question,

Area of rectangle(A) =Area of square(A)

or,32*18=Area of square

or, 576= l^2

or√576=l

or, 24cm

Now, we know,

Perimeter of the square=4l

=4*24cm

=96cm

Do you have a picture of the mathmatic problem?

Answer:

The value of the length of the side C is 11.49.

Step-by-step explanation:

Cosine formula is applicable.

c² = a² + b² -2abcos(C)

substitute the values:

c² = (5)² + (12)² -2(5)(12)cos(72)

= 25 + 144 - 2 (60) (0.309)

= 169 - 37.08

c² = 131.92

square root both sides:

c = sqrt(131.92)

C = 11.49

Answer:

The solution is x = 2

Step-by-step explanation:

i) 3x+2y=4

ii) 2x-y=5

Let's isolate y for the second equation

2x-y=5

2x-5 = y

y = 2x-5

Now use this y and substitute it in the first equation.

3x+2y=4

3x + 2(2x-5) = 4

3x + 4x - 10 = 4

7x / 7 = 14 / 7

x = 2

Answer:

the ratio of the side lengths are consistent

Answer:

Dimension 1 = 12 x 8

Dimension 2 = 14 x 6

Chris should choose Dimension 1

Step-by-step explanation:

Perimeter of a rectangle = 2 × width + 2 × length

                                         = 2(width + length)

Given:

⇒ 40 = 2(width + length)

⇒ width + length = 20 m

Therefore, possible dimensions:

We need to calculate the area of both choices.  The choice with the greatest area will allow the most vegetables to be planted.

Therefore, Chris should choose Dimension 1 (12 x 8).

Answer:

a = 6 , b = 5

Step-by-step explanation:

using the rule of radicals

[tex]\sqrt{a}[/tex] × [tex]\sqrt{b}[/tex] = [tex]\sqrt{ab}[/tex]

then

[tex]\sqrt{180}[/tex]

= [tex]\sqrt{36(5)}[/tex]

= [tex]\sqrt{36}[/tex] × [tex]\sqrt{5}[/tex]

= 6[tex]\sqrt{5}[/tex]

with a = 6 and b = 5

Answer:

Step-by-step explanation:

Answer:

A: 45 5/16

B: The present of the area as 83%

Step-by-step explanation:

(a)

35= 3+3+3.2x+3.2x+3.2x+3.2x

35= 6 + 12.8

29/12.8 +12.8x/12.8

X=2.265625 = 2/12/64

1x = 2 17/64 * 4 + 9 1/16

P = 45 5/16

(b)

The present of the area as 83%

35 – the bases or 6 = 29

29/35 + 0.82857142857

0.82857142857 * 100 = 82.8571428571

Rounded to the nearest whole number is 83%