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3 years ago

Which N W Which pair is supplementary

Mathematics

1 answer:

Bond [772]3 years ago

4 0

N because if lines intersect than they are supplementary if not complementary.

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What is the ordered pair for point b on the graph (-1,4) (4,-1) (5,1) (1,5)

IRINA_888 [86]

Option C: (5,1) is the ordered pair for point B

Explanation:

The graph is plotted with unit scale 1 units for both x and y axis.

We need to determine the ordered pair for point B.

<u>Ordered pair:</u>

Since, the graph is plotted with unit scale 1, the point B is 5 units away from the point (0,0)

Thus, the x - coordinate for point B is 5.

Also, the point B is 1 unit away from the point (0,0)

Thus, the y - coordinate is 1

The coordinates of point B is (5,1)

Thus, the ordered pair for point B is (5,1)

Hence, Option C is the correct answer.

5 0

4 years ago

For all values of x, f(x) = x^2 + 1 and g(x) = x-5

Elena-2011 [213]

Answer:

a) f g(x) = x³ - 5 x² + x -5

b) g(f(x) = x³ - 5 x² + x -5

Step-by-step explanation:

Given that f(x) = x² + 1 and g(x) = x-5

f(g(x)) = f(x-5) = (x-5)²+1 = x² - 10x +25 +1 = x² - 10 x +26

a) f g(x) = f(x) g(x) = (x² + 1 )(x-5) = x³ - 5 x² + x -5

b) g(f(x) = g(x) f(x) = (x-5) (x²+1) = x³ - 5 x² + x -5

6 0

3 years ago

Solve the system by substitution.<br> y = 3x + 14<br> y = X

lys-0071 [83]

Answer:

$\boxed{x = -7~~and~~ y =-7}$

Step-by-step explanation:

y = 3x + 14

y = x

x = 3x + 14

3x - x = -14

2x = -14

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

x = -7

y = x

y = -7

4 0

3 years ago

Read 2 more answers

Select the correct answer from each drop down-menu.

harkovskaia [24]

A statement that is assumed to be true without proof is a(n) Theorem

A statement that has been shown to be true by vigorous application of logic is a(n) ---> Conjecture

A(n) Axiom is a statement that is believed to be true but hasn't been proven.

<h3 /><h3>What's the big difference between a definition and a theorem?</h3>

A definition is both a precise and a general statement of the significance of a mathematical term.

It does this by laying down all of the characteristics of the word together with the structures that need to be true.

This is how the meaning of the word is defined. A mathematical assertion that can be demonstrated using logically sound mathematical reasoning is called a theorem.