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Llana [10]
3 years ago
7

1.) Write an equation of the line that passes through the point (3,-2) and is

Mathematics
1 answer:
GarryVolchara [31]3 years ago
8 0

Answer:

y = 2x - 8

Step-by-step explanation:

You might be interested in
a rectangle box has length 12 inches, width 15 inches, and a height of 17 inches. Find the angle between the diagonal of the box
ANTONII [103]

Answer:

0.7246 radians

Step-by-step explanation:

According to the Question,

Given that, a rectangle box has length 12 inches, width 15 inches, and a height of 17 inches

  • The length of the base diagonal (d) can be found using the Pythagorean theorem on length and width:

d = √{ (12)² +(15)² }  = √(144+225) = √369inches

  • The tangent of the angle is the ratio of the height of the box to this length

 Tan∅ = 17/√369

Taking the Tan^{-1} , we have

∅ = Tan^{-1}(17/√369) ≈ 0.7246 radians

4 0
3 years ago
Mr. Potter's class will take a test for 1 1/2 hours. They need to finish by 11:40 to get to lunch on time.What is the latest tim
stich3 [128]
The answer is 10:10
3 0
3 years ago
The product of a number and 9 is -450
Softa [21]

Answer:

-50

Well to get the answer of the product of a number and 9 is -450. You must divide 9 by -450 using long divison.

6 0
3 years ago
Does 25/60 and 8/20 form a proportion ?​
notka56 [123]

Answer:

No.

Step-by-step explanation:

Change it so that both fractions would have the same denominator. Note that what you do to the denominator, you must also do to the numerator.

Multiply 3 to both the numerator & denominator of 8/20

(8/20)(3/3) = 24/60

24/60 ≠ 25/60 ∴ these 2 fractions are not proportional.

~

7 0
3 years ago
A firecracker reaches a height of h feet before it bursts. The height h is modeled by h = −16t2 + vt + c, where v is the initial
daser333 [38]

General Idea:

If we have a quadratic function of the form f(x)=ax^{2} +bx+c , then the function will attain its maximum value only if a < 0 & its maximum value will be at x=-\frac{b}{2a} .

Applying the concept:

The height h is modeled by h = −16t^2 + vt + c, where v is the initial velocity, and c is the beginning height of the firecracker above the ground. The firecracker is placed on the roof of a building of height 15 feet and is fired at an initial velocity of 100 feet per second. Substituting 15 for c and 100 for v, we get the function as h=-16t^2+100t+15.

Comparing the function f(x)=ax^{2} +bx+c with the given function h=-16t^{2} +100t+15, we get a = -16, b = 100 and c=15.

The maximum height of the soccer ball will occur at t=\frac{-b}{2a}=\frac{-100}{2(-16)} = \frac{-100}{-32}=3.125 seconds

The maximum height is found by substituting t=3.125 in the function as below:

h=-16(3.125)^2+100(3.125)+15=171.25 feet

Conclusion:

<u>Yes !</u> The firecracker reaches a height of 100 feet before it bursts.

6 0
3 years ago
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