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4 years ago

A line with slope 3 passes through the point (0,10). What is the y-coordinate of the point on the line with x-coordinate 2?

1 answer:

4 0

Hello!

So to find the y-coordinate we need an equation for the line. The equation we can use is

y = mx + b

In this we already know m(the slope which is 3) and we can find b by plugging in the points that are given.

10 = 3(0) + b
10 = 0 + b
10 = b

So now that we've found b, we can use this in our equation

y = 4x + b

So now we can plug in the x-coordinate that we know (2) and find the y - coordinate.

y = 4(2) + 10
y = 8 + 10
y = 18

18 is your y-coordinate

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Correct answers only please!

irina1246 [14]

Answer:

C. 67 mph

Step-by-step explanation:

The speedometer reports speed based on the number of revolutions the tire makes in a given time period. If the motorcycle travels 28/25 times as far on each revolution, its speed is 28/25 times as great.

(28/25)(60 mph) = 67.2 mph ≈ 67 mph

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8 0

3 years ago

Read 2 more answers

Solve for x : log(3x) + log(x + 4) = log(15).<br><br>Please explain it to me.

zlopas [31]

Answer:

x = 1

Explanation:

$\sf \rightarrow log(3x) + log(x + 4) = log(15)$

Rule: log(a) + log(b) = log(ab)

$\sf \rightarrow log(3x(x + 4)) = log(15)$

cancel out log on both sides

$\sf \rightarrow 3x(x + 4) = 15$

relocate constant variable

$\sf \rightarrow 3x^2 + 12x -15 = 0$

take 3 as a common factor

$\sf \rightarrow 3(x^2 + 4x -5) = 0$

divide both sides by 3

$\sf \rightarrow x^2 + 4x -5 = 0$

middle term split

$\sf \rightarrow x^2 + 5x -x-5 = 0$

factor common terms

$\sf \rightarrow x(x + 5) -1(x+5)= 0$

collect into groups

$\sf \rightarrow (x-1)(x+5)= 0$

set to zero

$\sf \rightarrow x-1 = 0 , \ x+5= 0$

relocate variables

$\sf \rightarrow x = 1, \ x = -5$

There must be a positive solution for log, so the solution is only x = 1

3 0

2 years ago

Read 2 more answers

Simplify by using the law of indices:<br>y^a(b+c)×y^b(c-a)×y^c(a-b)

tia_tia [17]

Answer:

$y^{2ac}$

Step-by-step explanation:

Using the law if indices

$a^{m}$ × $a^{n}$ = $a^{(m+n)}$

Thus to simplify the expression add the 3 exponents

a(b + c) + b(c - a) + c(a - b) ← distribute parenthesis

= ab + ac + bc - ab + ac - bc ← collect like terms

= 2ac

Then the expression simplifies to

$y^{2ac}$

4 0

3 years ago

The bag was filled with red marbles and blue marbles in the ratio of 5:7. If there were 180 marbles in the bag,how many were red

SOVA2 [1]

You just have to multiply each number by 180 and that's how many you have of each color respectively

3 0

3 years ago

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The slovacek family wants to buy a $200,000 house. With excellent credit, their monthly payments on a loan will be $843 per mont

kirza4 [7]

Answer:$303,480

Step-by-step explanation: with excellent credit which is $843 per month for 30 years. So first I did 12 x 30 = 360 since there are 360 months in 30 years. And then 843 x 360 = $303,480. So $303,480 is your answer

8 0

3 years ago