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3 years ago

1. write an equation in point slope form that passes through the point (2,3) and slope of -4

1 answer:

4 0

For number 1, The equation for point slope form is y-y1=m(x-x1). This is called point-slope form because it uses one point, and the lines slope. We plug in the slope for m, and the point for (x1, y1), and then we have our answer for number 1! This is y-3=-4(x-2), in point-slope form. Slope intercept form is different however, requiring the slope of the line, and it's intercept. It is in the form y = mx+b. In the scenario by inputting the variables we already have we can solve for b very quickly. Using our point and slope we get 3=-8+b, or b = 11. This means that the equation in point slope form is y=-4x+11.

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The graph of y=2x^2-4x+2 has a y-intercept of (0,1).<br> A. True<br> B. False

astra-53 [7]

False. Set x = 0 and find y.

y = 2(0)^2 - 4(0) + 2
y = 0 - 0 + 2
y = 2

The y-intercept is (0, 2), not (0, 1).

8 0

4 years ago

Please help for #10 both parts will give 30 points!!!!!

Andreas93 [3]

8x6= 48 (not necessary to divide by 8 since you'd have to multiply it by 2 anyway because there are 2 triangles)
6x12=72
10x12=120
12x8=96

48+72+120+96=336

336cm^2 is the answer

5 0

3 years ago

Karina rode her bike up a mountain trail at an average of 4 mph. Then she rode it back down the trail at an average of 20 mph. T

earnstyle [38]

Answer:

36 miles.

Step-by-step explanation:

We have been given that Karina rode her bike up a mountain trail at an average of 4 mph. Then she rode it back down the trail at an average of 20 mph. The entire trip took 3 hours.

$\text{Distance}=\text{Speed}\times \text{Time}$

Substitute the given values:

$\text{Distance}=(\frac{4\text{ miles}}{\text{Hour}}+\frac{20\text{ miles}}{\text{Hour}})\times 3\text{ Hours}$

$\text{Distance}=(\frac{24\text{ miles}}{\text{Hour}})\times 3\text{ Hours}$

$\text{Distance}=24\text{ miles}\times 3$

$\text{Distance}=72\text{ miles}$

The total distance is 72 miles, so the distance going up would be half of 72.

$\frac{72}{2}=36$

Therefore, Karina went 36 miles up the mountain.

4 0

3 years ago

Y = 2x-6<br><br> I don’t know how to use this WEBSITE :( but uh someone help me again :/

kkurt [141]

X=3 I’m pretty shure

8 0

3 years ago

PLEASE HELP. MATH IN PICTURE

marin [14]

9514 1404 393

Answer:

D . . . (best of the erroneous choices)

Step-by-step explanation:

Solving the first equation for x, we get ...

√(y -1) ≥ x

Solving the second equation for x, we get ...

x > 3

Substituting for x, we have ...

√(y -1) > 3

y -1 > 9

y > 10

Ordered pairs that are in the solution set will have coordinates ...

x > 3, y > 10

In interval notation that looks like ...

x ∈ (-∞, 3) and y ∈ (10, ∞)

The closest answer choice is the last one.

_____

You will note that x must be strictly greater than 3, so y cannot be equal to 10. The offered choice is in error on that point.

You will also note that y is dependent on x. That is, one cannot pick a value of y greater than 10 independently of the value of x. In that sense, the solution is not "the set of all ordered pairs such that [x and y have independent limits]". Rather, it is the set of all ordered pairs such that √(y -1) ≥ x > 3.

5 0

3 years ago