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disa [49]
3 years ago
7

Find the x- and y- intercept of the line. -4x +2y =24

Mathematics
2 answers:
tresset_1 [31]3 years ago
6 0

Answer:

Step-by-step explanation:

X-intercept is -6; y-intercept is 12

andrey2020 [161]3 years ago
4 0
<span>-4x +2y =24

<u>x-intercept
</u>y=0, -4x =24, x= - 6 
<u>
(</u>-6,0)

<u>y-intercept</u>
x=0, 2y=24, y=12

(0, 12)</span>
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Is each line parallel, perpendicular, or neither parallel nor perpendicular to a line whose slope is 2/5?
Gnesinka [82]
Parallel: line p with slope 2/5
Perpendicular: line n with slope -5/2
the other two would be neither.
3 0
3 years ago
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The function h defined by h(t)=(49 + 4.9t)(10 - t) models the height, in meters, of an object t seconds after it is dropped from
kipiarov [429]

Answer:

Step-by-step explanation:

Let's FOIL this out and get it into standard quadratic format:

h(t)=-4.9t^2+490. The lack of a linear term in the middle means therewas no upwards velocity, consistent with the object being dropped straight down as opposed to thrown up in the air tand then falling in a parabolic path. The -4.9t² represents the acceleration due to gravity, and the 490 represents the height from which the object was dropped. The constant in a quadratic that is modeling parabolic motion always represents the height from which the object was dropped (or launched). That's how you know.

5 0
3 years ago
Ellie, an office manager, needs to find a courier to deliver a package. The first courier she is considering charges a fee of $1
Ber [7]

Answer:

The weight of the package is 1 kilograms.

It will cost  $ 13 by both the couriers services.

Step-by-step explanation:

Let the weight of her package is x kilograms

Now, according to the question:

The charges of first Courier = $10 + $3(x)

and The charges of Second  Courier = $7 + $6(x)

Also, for x  kilograms, both the charges are equal

⇒ $10 + $3(x)   =  $7 + $6(x)

or, 10 + 3x =  7 + 6x

or, 10 -7 = 6x - 3x

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5 0
3 years ago
I) Find the volume in terms of pie
SVETLANKA909090 [29]

Answer:

i) pi×4500 cm³

ii) pi×600 cm²

iii) 14 liters

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in general : the diameter is 30 cm, the radius is half of that (15 cm)

i)

the volume of a cylinder is base area times height.

Vc = pi×r²×h = pi×15²×20 = pi×225×20 = pi×4500 cm³

ii)

similar to volume, the side "mantle" area of the cylinder is the circumference of the base area times height.

surface area of the cylinder mantle is

Scm = 2×pi×r×h = 2×pi×15×20 = pi×30×20 = pi×600 cm²

iii)

for this we need now to do the multiplication with pi and then convert the cm³ to liters.

1 liter = a cube of 10 cm side length = 10×10×10 = 1000 cm³

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