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Ksenya-84 [330]
3 years ago
8

The distance traveled by a car at a constant rate is proportional to the time spent driving. In the equation d = 45t, d represen

ts the distance (in miles) and t represents the time (in hours).
A. What is the constant of proportionality? ____ miles per hour

b.How far will a car travel in 3 hours?____ miles
Mathematics
1 answer:
OverLord2011 [107]3 years ago
8 0
The constant of proportionality should be 45 miles per hour, and the car should travel 135 miles in three hours.
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Two workers paint lines for angled parking spaces. One worker paints a line so that m∠1=65. The other worker paints a line so th
scoundrel [369]

The image of the car park showing the 2 angles is attached.

Answer:

Their lines are parallel.

Step-by-step explanation:

From the attached image, we can see that ∠1 and ∠2 form a pair of alternate exterior angles. Thus; ∠1 = ∠2.

Now since they are congruent, it means that their lines will be parallel.

Thus, we can conclude that their lines are parallel.

3 0
3 years ago
Solve for the variable b. 5a(b - c ) = d
Liula [17]
5a(b-c)=d. Here, we are trying to isolate the variable b.
Divide both sides by 5a: b-c=d/(5a)
Add c to both sides: b= \frac{d}{5a} +c
3 0
4 years ago
Read 2 more answers
H(x) = x2 1 k(x) = x – 2 (h k)(2) = (h – k)(3) = Evaluate 3h(2) 2k(3) =.
natima [27]

Quadratic equation is the equation in which only one variable is unknown. The highest power of the variable is 2.The value of the given functions are,

(h+k)(x)=5

(h-k)(x)=9

3h(2)+2k(3)=17

<h3>Given information-</h3>

The given function is,

h(x)=x^2+1

k(x)=x-2

<h3>Quadratic equation</h3>

Quadratic equation is the equation in which only one variable is unknown. The highest power of the variable is 2.

1) The value of the function (h+k)(2),

(h+k)(x)=h(x)+k(x)

(h+k)(x)=x^2+1+x-2

(h+k)(2)=2^2+1+2-2

(h+k)(x)=5

2)The value of the function (h-k)(3),

(h-k)(x)=h(x)-k(x)

(h-k)(x)=x^2+1-x+2

(h-k)(3)=3^2+1-3+2

(h-k)(x)=9

3) The value of the function 3h(2)+2k(3)

3h(x)+2k(x)=3x^2+3+2x-2\times 2

3h(2)+2k(3)=3\times2^2+3+2\times2-2\times 2

3h(2)+2k(3)=17

Hence the value of the given functions are,

(h+k)(x)=5

(h-k)(x)=9

3h(2)+2k(3)=17

Learn more about the quadratic equation here;

brainly.com/question/2263981

4 0
3 years ago
Nadia says the hypotenuse of this right triangle has a length of 73 because the Pythagorean theorem states that (28 + 45) square
Vaselesa [24]

Answer:

Third answer (she is incorrect because she should have squared each leg length and then found the sum.)

Step-by-step explanation:

The pythagorean theorem states that a²+b²=c². This is not equivalent to (a+b)²=c² (due to FOIL expansion, this expands to a²+2ab+b²=c²).

This matches with the third answer, as she has to do a² and b≥ separately.

**This question involves expanding perfect squares, which you may wish to revise. I'm always happy to help!

6 0
3 years ago
David has a piece of wood that is 7.28 meters long. He needs 4 pieces of wood that are each 1.75 meters long. If he cuts the woo
Tema [17]

9514 1404 393

Answer:

  yes

Step-by-step explanation:

You can go at this a couple of ways:

1. The total length David needs is (1.75 m) × 4 = 7.00 m. His 7.28 m piece is long enough to provide the pieces he needs.

__

2. The length of each piece when the wood is cut into quarters is ...

  (7.28 m)/4 = 1.82 m

This is longer than the 1.75 m needed, so each piece is long enough.

5 0
2 years ago
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