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11Alexandr11 [23.1K]
3 years ago
5

Which of the following

Mathematics
1 answer:
Ronch [10]3 years ago
3 0

Answer:

Option A

Step-by-step explanation:

<u>Given equation is</u>

=> 3y = 6x + 3

<u>In slope-intercept form, it becomes</u>

=> 3y = 3(2x+1)

=> y = 2x+1

So, Slope = m = 2

<u><em>Parallel lines have equal slope, So any line parallel to the above line would have its slope equal to 2</em></u>

=> Line parallel to 3y = 6x + 3 is y = 2x + 10

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A golfer hits a ball from a starting elevation of 2 feet with a velocity of 70 feet per second down to a green with an elevation
ikadub [295]

Answer:

4.50 s

Step-by-step explanation:

The motion of the ball is represented by the following equation:

h(t) = 2+70t-16t^2 (1)

where

h(t) is the elevation at time t

2 ft is the initial elevation at t = 0

+70 ft/s is the initial vertical velocity

-32 ft/s^2 is the acceleration due to gravity

The green is located at an elevation of -7 feet, so the ball lands on the green when

h(t) = -7

Substituting into (1)

-7=2+70t-16t^2

And re-arranging we get

16t^2-70t-9=0

This is a second-order equation in the form

at^2+bt+c=0

which has solutions

t_{1,2}=\frac{-b\pm \sqrt{b^2-4ac}}{2a} (2)

Here we have:

a = 16

b = -70

c = -9

Substituting into (2) we find the solutions:

t_{1,2}=\frac{70\pm \sqrt{(-70)^2-4(16)(-9)}}{2(16)}

The two solutions are:

t = 4.50 s

t = -0.125 s

The second solution is negative, and since negative time has no physical meaning, the only correct solution is

t = 4.50 s

5 0
3 years ago
What is the total surface area
Stels [109]

We have two right triangles and three different rectangles.

The formula of an area of a right triangle:

A_T=\dfrac{1}{2}l_1l_2

l₁, l₂ - legs

We have l₁ = 20cm and l₂ = 21cm. Substitute:

A_T=\dfrac{1}{2}(20)(21)=(10)(21)=210\ cm^2

The formula of an area of a rectangle:

A_R=lw

l - length

w - width

We have:

rectangle #1: l = 22cm, w = 29cm

A_{R1}=(22)(29)=638\ cm^2

rectangle #2: l = 22cm, w = 21cm

A_{R2}=(22)(21)=462\ cm^2

rectangle #3: l = 22cm, w = 20cm

A_{R3}=(22)(20)=440\ cm^2

The total Surface Area of the triangular prism:

S.A.=2A_T+A_{R1}+A_{R2}+A_{R3}\\\\S.A.=2\cdot210+638+462+440=1960\ cm^2

3 0
3 years ago
How can I find the area and perimeter of the circle? pls help
strojnjashka [21]
The perimeter of the circle is also known as the circumference that said figure out what the diameter is and multiply that by pi (3.14) 
8 0
3 years ago
Read 2 more answers
pe ling needs 2 yards of fabric for a craft project. she has 3 feet already.how many niches of fabric does she still need?
spin [16.1K]
2yards= 72 inches
72 inches= 6 feet

so now that you know that, you know that she needs 6 feet and already has 3 feet. so she just needs 3 feet more. but they are asking for the answer to be in inches. 

3 feet= 36 inches
your answer in 36 inches
5 0
3 years ago
What is the distance between the points (–3, 4) and (–7, 4)?
uysha [10]

Answer:

d =  \sqrt{( - 7  + 3) {}^{2}  + (4 - 4) {}^{2} }  \\ d =  \sqrt{16}  \\ d = 4

Good luck!

Intelligent Muslim,

From Uzbekistan.

6 0
4 years ago
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