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2 years ago

PLEASE HELP!!! WORTH 20 POINTS!

Mathematics

1 answer:

Mkey [24]2 years ago

8 0

Answer:

a. 1 1/2 (or 3/2)

b. 2/3

c. 1

d. 1

Step-by-step explanation:

Part A: (1,1) (7,5)

To determine the slope, you will use the equation m=(y2-y1)/(x2-x1). Keep in mind that it doesn't matter what point you use for (x1, y1) or (x2, y2).

Let's plug in the numbers for part a:

m=(7-1)/(5-1)

Let's then solve the problems inside the parentheses:

m=6/4

And finally, we simplify:

m=3/2 (or 1 1/2 depending on what your teacher wants for an answer)

For these others, I will just go through the steps and not explain them, if you need help or don't understand something I'm doing, either look back at what I did for part a or comment on this answer.

Part B: (1,1) (5,7)

m=(5-1)/(7-1)

m=(4/6)

m=2/3

Part C: (2,5) (-1,2)

m=(-1-2)/(2-5)

m=(-3/-3)

m=1

Part D: (2,5) (-7,-4)

m=(-7-2)/(-4-5)

m=(-9/-9)

m=1

You might be interested in

The volume of a sphere is 2145 cubic centimeters. What is the approximate diameter of this sphere?

eimsori [14]

Answer:

d = 2(40.11 cm) = 80.22 cm

Step-by-step explanation:

The formula for volume of a sphere is V = (4/3)πr³

and here V = (4/3)πr³ = 2145 cm³

Let's simplify this equation by multiplying both sides by (3/4); this will cause (4/3) to disappear:

(3/4)(4/3)πr³ = (3/4)2145 cm³, or

r³ = 1608.75 cm³

Taking the cube root of both sides, we get:

r = 40.11 cm

Remembering that diameter = 2 times radius, we calculate the diameter:

d = 2(40.11 cm) = 80.22 cm

6 0

3 years ago

A canister is dropped from a helicopter 500m above the ground. Its parachute does not open, but the canister has been designed t

solmaris [256]

Answer:

The impact speed 98.995 m/s is less than 100 m/s and the canister will not burst.

Step-by-step explanation:

A function F is called an antiderivative of f on an interval I if $F'(x) = f(x)$ for all x in I.

Recall that if the object has position function $s=f(t)$ , then the velocity function is $v(t)=s'(t)$ . This means that the position function is an antiderivative of the velocity function. Likewise, the acceleration function is $a(t)=v'(t)$ , so the velocity function is an antiderivative of the acceleration.

An object near the surface of the earth is subject to a gravitational force that produces a downward acceleration denoted by $g$ . For motion close to the ground we may assume that $g$ is constant, its value being about $9.8 \:{\frac{m}{s^2}}$ .

We know that the acceleration due to gravity is given by

$a(t)=-9.8$

and the antiderivative is velocity

$v(t)=\int a(t)\,dt\\v(t)=\int -9.8\,dt\\v(t)=-9.8t +C$

We know that the canister was dropped, so the initial velocity at t = 0 is zero, this fact let us know the value of C.

$v(0)=9.8(0)+C\\C=0$

The antiderivative of velocity is the position

$s(t)=\int v(t) \, dt\\s(t)=\int -9.8t \, dt\\s(t)=-4.9t^2+C$

To find the value of the constant C, we know that the height was 500 m at t = 0, this means $s(0)=500$

$500=-4.9(0)^2+C\\C=500$

$s(t)=-4.9t^2+500$

Using the fact that at the time of impact the height s(t) is zero we can compute the total time of the fall:

$s(t)=-4.9t^2+500=0\\\\-4.9t^2=-500\\\\t^2=\frac{5000}{49}\\\\\mathrm{For\:}x^2=f\left(a\right)\mathrm{\:the\:solutions\:are\:}x=\sqrt{f\left(a\right)},\:\:-\sqrt{f\left(a\right)}\\\\t=\sqrt{\frac{5000}{49}},\:t=-\sqrt{\frac{5000}{49}}$

A negative time does not make sense, so we only take as a possible solution

$t=\sqrt{\frac{5000}{49}}=\frac{50\sqrt{2}}{7}\approx 10.102$

Now the final velocity is

$v(\frac{50\sqrt{2}}{7})=-9.8(\frac{50\sqrt{2}}{7})\approx -98.995$

The impact speed 98.995 m/s is less than 100 m/s and the canister will not burst.

5 0

3 years ago

983488 divided by 1188. What's the remainder? DON'T USE A CALCULATOR!! NO DECIMALS!

matrenka [14]

Answer:

it would be a reminder but it would be C it's the most logical answer because it rounds to a ridiculously large number so it 972 in my opinion

8 0

3 years ago

Read 2 more answers

$115. Today, the price rose to $161. Find the percentage increase. $ ?

Svetllana [295]

Answer:

40%

Step-by-step explanation:

3 0

3 years ago

Y=-x+7 find x intercept

vivado [14]

Answer:

The x-intercept=7

Step-by-step explanation:

Step 1

Given the equation;

y=-x+7, is a linear equation

Step 2

The x-intercept is the value of x when the graph crosses the x-axis. At this point, the value of y=0

Step 3

Substitute the value of y in the linear equation above to solve for the x-intercept.

Given;

y=0

And the linear equation is;

y=-x+7

replace;

0=-x+7

x=7

The x-intercept=7

8 0

3 years ago