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KiRa [710]
3 years ago
6

Construct a linear equation if slope is 7.5 and ordered pairs are (2,17.50), (5,40.00)

Mathematics
1 answer:
Brrunno [24]3 years ago
3 0

Answer:

y=7.5x+2.5

Step-by-step explanation:

y=7.5x+b

(40)=7.5(5)+b

40=37.5+b

b=40-37.5

b=2.5

the linear equation in slope-intercept form is y=7.5x+2.5

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∠U=90°, TS = 73, SU = 55, and UT = 48.
ololo11 [35]

Answer:

sin S =  is the ratio found.

Step-by-step explanation:

It is given that m∠U = 90°

TS is the hypotenuse = 73 units

UT is the adjacent side of the right angle = 48 units

SU is the base of the triangle = 55 units

Now we have to find the ratio as,

sin S =

sin S =

Plugin the values, we will get,

sin S =

So the ratio was found.

disclaimer this is not my work it is youaskianswer's work.

6 0
3 years ago
ALGEBRICAL EXPRESSIONS<br><br> ADD 4y<br><br> (3y²+5y-7) and 2(y³-4y²+5)​
tangare [24]

Answer:

<h3>(3y2+5y-7)+2(y3-4y2+5)</h3>

3y2+5y-7+2y3-8y2+10

3y2-8y2+5y-7+10

-5y2+5y+17

7 0
3 years ago
Tim estimates that 60÷5.7 is about 10.Will the actual quotient be greater than 10 explain
Zepler [3.9K]
Well first you can do the problem. So take 60 divided by 5.7. When it is done it will come out to about 10.5263 which is a irrational number. So yes the quotient will be larger than 10.
Hope I helped!
8 0
3 years ago
The eight term of a geometric progression is given by Sn= -[-3(sin^2x + cos^2x)^n + In e. Find the first term and common ratio.​
igor_vitrenko [27]

Answer:

Step-by-step explanation:

Sn= -[-3(sin^2x + cos^2x)^n + In e.

sin^2x + cos^2x = 1  and ln e = 1, so

Sn = -(-3)^n + 1

When n = 8

this = -(-3)^8 + 1

7 0
3 years ago
4. The distance light travels in one year is approximately 5,870,000,000,000 miles. The distance light travels in 100 years is:
jolli1 [7]
<h3><em><u>given</u></em><em><u>;</u></em></h3>

<em><u>5,870,000,000,000 miles.</u></em>

<h3><em><u>to</u></em><em><u> </u></em><em><u>find</u></em><em><u>:</u></em></h3>

<em><u>The distance light travels in 100 years</u></em><em><u>.</u></em>

<h3><em><u>solution</u></em><em><u>:</u></em></h3>

<em><u>The distance of the light travels in 100 years is:</u></em>

<em><u>5,870,000,000,000 × 100 miles.</u></em>

<em><u>= 587,000,000,000,000 miles</u></em>

<em><u>= 587 × 10</u></em><em><u>^</u></em><em><u>12 miles.</u></em>

<em><u>answer</u></em><em><u>=</u></em><em><u> </u></em><em><u>option</u></em><em><u> </u></em><em><u>d</u></em>

7 0
2 years ago
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