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2 years ago

6

What is an equation in point-slope form of the line that passes through the point (4, −1) and has slope 6?

1 answer:

Grace [21]2 years ago

4 0

Answer:

y + 1 = 6(x - 4)

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What is one way to find the total cost of a jacket for $55.80 with a sales tax of 2.7%

larisa86 [58]

55.80 + 55.80 (.027) = 57.3066 or $57.31

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2 years ago

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Deane is flying to a destination that is 2745 miles away. The plane's average speed is 450 mph. Write the slope-intercept form o

Dmitriy789 [7]

The equation in y = mx+b form is y = -450x+2745

where,
x = number of hours that have passed by
y = distance to destination in miles

The y intercept is 2745 since this is the initial starting y value, aka the starting distance. Therefore b = 2745.

The slope is -450 or -450/1 since for each hour, the distance goes down by 450. You can think of it as
slope = (change in y)/(change in x)
slope = (change in distance)/(change in time)
slope = (-450 miles)/(1 hour)
slope = -450

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2 years ago

( Will give Brainliest) Please Helpp

gogolik [260]

Answer:

8cm

Step-by-step explanation:

Area of a triangle equals bh/2

If you plug in the data, you get

10= $\frac{5}{2}$ * $\frac{h}{2}$

10= $\frac{5h}{4}$

40=5h

h=8

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3 years ago

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What is the equation of the parabola in vertex form with vertex (2,-4) and directrix y=-6

Pachacha [2.7K]

Answer:

$y=\dfrac{1}{8}(x-2)^2-4$

Step-by-step explanation:

The directrix y=-6 is parallel to the x axes, so parabola has equation of the form

$(x-x_0)^2=2px(y-y_0),$

where $(x_0,y_0)$ is the vertex of parabola and p is parabola's parameter.

By the definition, $\frac{p}{2}$ is the distance from the vertex to the directrix, so

$\dfrac{p}{2}=2\Rightarrow p=4$

Hence, the equation of parabola is

$(x-2)^2=8(y+4)$

See attached diagram for the graph of parabola and its directrix.

In vertex form this equation is

$y=\dfrac{1}{8}(x-2)^2-4$

8 0

3 years ago

7 less than k is no less than 70.

77julia77 [94]

Answer:

k-7 $\geq$ 70

Step-by-step explanation: it says no less than 70 implying it could be 70 or above. Greater than or equal to seventy is the correct answer.

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2 years ago