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3 years ago

'find the equation of the line shown':

Mathematics

1 answer:

insens350 [35]3 years ago

4 0

Answer:

y = x + 6

Step-by-step explanation:

The y-intercept is (0, 6). This is where the line crosses the y-axis.

The slope is 4/4, or 1: m = 1

The equation of the line is therefore y = x + 6

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Joe worked 12 hours and packed 32 cartons. Bob worked 25 hours and packed 64 cartons. Did Joe and Bobwork at the same rate?O YES

Bas_tet [7]

To be able to compare the rates, we will write them in fraction form.

The fraction that represents Joe's rate is:

$\frac{32}{12},$

and the fraction that represents Bob's rate is:

$\frac{64}{25}\text{.}$

Simplifying the above fractions, we get:

$\begin{gathered} \frac{32}{12}=\frac{8}{3}, \\ \frac{64}{25}=\frac{64}{25}\text{.} \end{gathered}$

Since:

$\frac{8}{3}\ne\frac{64}{25}$

then Bob and Joe did not work at the same rate.

Answer:

No, Bob and Joe did not work at the same rate.

4 0

10 months ago

Gregory predicts that 310 people will attend the spring play. There was an actual of 220 people who attended the spring play.wha

tia_tia [17]

The percent error is 29%. I posted the equation for percent error on your other question.

8 0

2 years ago

Write the polar form of a complex number in standard form for <img src="https://tex.z-dn.net/?f=8%5Bcos%28%5Cfrac%7B%5Cpi%7D%7B2

laila [671]

Answer:

Solution : 8i

Step-by-step explanation:

We can use the trivial identities cos(π / 2) = 0, and sin(π / 2) = 1 to solve this problem. Let's substitute,

$8\left[cos\left(\frac{\pi }{2}\right)+isin\left(\frac{\pi \:}{2}\right)\right]$ = $8\left(0+1i\right)$

And of course 1i = i, so we have the expression 8(0 + i ). Distributing the " 8, " 8( 0 ) = 0, and 8(i) = 8i, making the fourth answer the correct solution.

7 0

2 years ago

What is the slope of the points (-1,6) and (2,-3)

Sliva [168]

The answer is 2/4 I believe

6 0

2 years ago

Determine the constant of variation for the direct variation given.

ohaa [14]

Answer:

B. 5

Step-by-step explanation:

We have been given that R varies directly with S. When S is 16, R is 80. We are asked to find constant of variation.

We know that two directly proportional quantities are in form $y=kx$ , where,

k = Constant of variation.

Upon substituting our given values, we will get:

$R=k*S$

$80=k*16$

$\frac{80}{16}=\frac{k*16}{16}$

$5=k$

Therefore, the constant of variation is 5 and option B is the correct choice.

6 0

2 years ago