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yaroslaw [1]
3 years ago
7

Which equation represents a line that passes through (-2, 4) and has a slope of 1/2?

Mathematics
1 answer:
jok3333 [9.3K]3 years ago
3 0

Answer:

\large\boxed{y-4=\dfrac{1}{2}(x+2)\text{- point-slope form}}\\\boxed{y=\dfrac{1}{2}x+5\text{- slope-intercept form}}

Step-by-step explanation:

The point-slope form of an equation of a line:

y-y_1=m(x-x_1)

m - slope

We have the slope m=\dfrac{1}{2} and the point (-2, 4).

Substitute:

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

y-4=\dfrac{1}{2}(x+2) - point-slope form

Convert to the slope-intercept form (y = mx + b):

y-4=\dfrac{1}{2}(x+2)      <em>   use the distributive property</em>

y-4=\dfrac{1}{2}x+1         <em>add 4 to both sides</em>

y=\dfrac{1}{2}x+5 - slope-intercept form

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A hollow metallic cylinder is made from a metallic sheet of 2.4 cm thickness. The inner
butalik [34]

Answer:

The volume of the metal used is 5277.9 cm³.

Step-by-step explanation:

The volume of a cylinder is given by:

V = \pi r^{2} h

Where:

r: is the radius

h: is the height = 50 cm

The volume of metal (V_{m}) can be found by subtracting the internal volume (V_{i}) from the external volume (V_{e}):

V_{m} = V_{e} - V_{i}

V_{m} = \pi r_{e}^{2} h - \pi r_{i}^{2} h    

The external radius is given by the sum of the internal radius with the tickness:

r_{e} = t + r_{i}

Hence, the volume is:

V_{m} = \pi*50 cm((2.4 cm + 5.8 cm)^{2} - (5.8 cm)^{2}) = 5277.9 cm^{3}

           

Therefore, the volume of the metal used is 5277.9 cm³.

I hope it helps you!                                                      

4 0
3 years ago
Answer these questions with work
sweet-ann [11.9K]
First, you make 9 into a fraction which would become 36/4
then, subtract 9/4 from both sides so that would give you 3/4x = 27/4
then divide each side by 3/4 (same thing as multiply by its reciprocal) and that would give you x=9
7 0
3 years ago
Read 2 more answers
A cruise ship travels from Port Cassett North at speed of 34 km/h for 2.5 hours. Then it turns 90° and travels west at 30 km/h f
IrinaK [193]
34km/h*2.5 hours=85km
30km/h*7.3 hours=219km
This makes a right triangle, so you plug it into the Pythagorean Theorem. The result is 234.92km from Port Cassett.
4 0
3 years ago
Hellllllllllp hurrryyy pleaseee
Harrizon [31]

The rate at which Riya is applying the mulch to the garden is 250000:1.

<h3>What is the rate?</h3>

It should be noted that rate is simply used to show the relationship between two things. A rate in mathematics is the comparison of two related values expressed in different units. The numerator of the ratio expresses the corresponding rate of change in the dependent variable if the denominator of the ratio is written as a single unit of one of these quantities and it is assumed that this quantity may be modified systematically (i.e., is an independent variable).

Per unit of time is a frequent sort of rate, and examples include speed, heart rate, and flux. Exchange rates, literacy rates, and electric field ratios are examples of ratios with a non-time denominator (in volts per meter).

From the information, Riya is applying mulch to the garden and she applied at a rate of 250000cm³ for every m² of space.

Therefore, the rate at which Riya is applying the mulch to the garden is 250000:1.

Learn more about rate on:

brainly.com/question/25537936

#SPJ1

5 0
1 year ago
Can anyone answer (b)
lana [24]
The problem is, I don't think that you estimated for letter a, so you can't do letter b.
8 0
3 years ago
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