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3 years ago

Complementary and Supplementary angles

Mathematics

1 answer:

pav-90 [236]3 years ago

8 0

Answer:

B and D are supplementary there is no complementary angle

Step-by-step explanation:

supplementary angles add upto 180° therefore B and D when added should be equivalent to 180° therefore they are supplementary angles

complementary angles are angles that add upto 90° therefore in the question provided there is no complementary angle

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Write (-3, -5) (-1, -19) in point slope form

stiv31 [10]

Answer:

(y + 5) = -7(x + 3)

Step-by-step explanation:

Point Slope Form: (y - y1) = m(x - x1)

Step 1: Find Slope

m = $\frac{y2 - y1}{x2 - x1}$

m = $\frac{-19 - (-5)}{-1 - (-3)}$

m = $\frac{-19 + 5}{-1 + 3}$

m = $\frac{-14}{2}$

m = -7

Step 2: Put into point slope form

Point Slope Form: (y - y1) = m(x - x1)

(y - (-5)) = -7(x - (-3))

(y + 5) = -7(x + 3)

8 0

3 years ago

Calculate 2.43 x 4 =

ikadub [295]

Answer:

9.72

Step-by-step explanation:

4 0

3 years ago

Read 2 more answers

Which of the following expressions is equivalent to a3 + b3?

lubasha [3.4K]

ANSWER
${a}^{3} + {b}^{3} = (a + b)( {a}^{2 } - ab + {b}^{2} )$

EXPLANATION

To find the expression that is equivalent to
${a}^{3} + {b}^{3}$
we must first expand
${(a + b)}^{3}$
Then we rearrange to find the required expression.

So let's get started.

${(a + b)}^{3} = (a + b) {(a + b)}^{2}$

We expand the parenthesis on the right hand side to get,

${(a + b)}^{3} = (a + b) ( {a}^{2} + 2ab + {b}^{2} )$

We expand again to obtain,

${(a + b)}^{3} = {a}^{3} + 3 {a}^{2}b + 3a {b}^{2} + {b}^{3}$

Let us group the cubed terms on the right hand side to get,

${(a + b)}^{3} = {a}^{3} + {b}^{3} + 3 {a}^{2}b + 3a {b}^{2}$

${(a + b)}^{3} = {a}^{3} + {b}^{3} + 3ab (a+ b)$

We make the cubed terms the subject,

${(a + b)}^{3} - 3ab (a+ b) = {a}^{3} + {b}^{3}$

We factor to get,

$(a + b)({(a + b)}^{2} - 3ab ) = {a}^{3} + {b}^{3}$

We expand the bracket on the left hand side to get,

$(a + b)( {a}^{2} + 2ab + {b}^{2} - 3ab ) = {a}^{3} + {b}^{3}$

We finally simplify to get,

$(a + b)( {a}^{2} - ab + {b}^{2} ) = {a}^{3} + {b}^{3}$

5 0

2 years ago

Read 2 more answers

Hello can some one please help me

Artemon [7]

It’s 4/25 because 2/5 times 2/5 the numerator is 2 times 2 which is four and the denominator is 5 times 5 which is 25

8 0

2 years ago

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Two skateboarders start a race at the same time. Skateboarder A travels at a steady rate of 15 feet per second. Skateboarder B t

notsponge [240]

So covert 4 minutes to seconds. Which would be 4 times 60 which would mean there would be 240 seconds. So you would multiply 15 x 240 = 3,600 feet. Then multiply 22 x 240 = 5,280 feet. 5,280 - 3,600 = 1,680 feet.

ANSWER:
Skateboarder B will have traveled 1,680 more feet over 4 minutes.

5 0

2 years ago