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Kisachek [45]
3 years ago
14

What is the equation of the line which includes points (0,3) and (4,5)

Mathematics
1 answer:
laila [671]3 years ago
4 0

Answer:

y = \frac{1}{2} x + 3

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

Calculate m using the slope formula

m = (y₂ - y₁ ) / (x₂ - x₁ )

with (x₁, y₁ ) = (0, 3) and (x₂, y₂ ) = (4, 5)

m = \frac{5-3}{4-0} = \frac{2}{4} = \frac{1}{2}

Note the line crosses the y- axis at (0, 3) ⇒ c = 3, thus

y = \frac{1}{2} x + 3 ← equation of line

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Answer:

False

Step-by-step explanation:

an inequality is a relation which makes a non-equal comparison between two numbers or other mathematical expressions.

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3 years ago
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Find the surface area of the composite figure.
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With the help of the <em>area</em> formulae of rectangles and triangles and the concept of <em>surface</em> area, the <em>surface</em> area of the composite figure is equal to 276 square centimeters.

<h3>What is the surface area of a truncated prism?</h3>

The <em>surface</em> area of the <em>truncated</em> prism is the sum of the areas of its six faces, which are combinations of the areas of rectangles and <em>right</em> triangles. Then, we proceed to determine the <em>surface</em> area:

A = (12 cm) · (4 cm) + 2 · (3 cm) · (4 cm) + 2 · (12 cm) · (3 cm) + 2 · 0.5 · (12 cm) · (5 cm) + (5 cm) · (4 cm) + (13 cm) · (4 cm)

A = 48 cm² + 24 cm² + 72 cm² + 60 cm² + 20 cm² + 52 cm²

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With the help of the <em>area</em> formulae of rectangles and triangles and the concept of <em>surface</em> area, the <em>surface</em> area of the composite figure is equal to 276 square centimeters.

To learn more on surface areas: brainly.com/question/2835293

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1 year ago
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Step-by-step explanation:

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Plz help me with these 2 problems I really need it and I need to know how you to the answer so I can show my work
ELEN [110]

Answer:

13.) 0.19625    15.) 37.68

Step-by-step explanation:

Formula for area of a circle: A=πr²

13.) 3.14 x .25² = 0.19625

Formula for circumference for a circle: C=πD  or C=2πr

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Remember that parentheses come first. Follow PEMDAS

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