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3 years ago

Help meh with this lol

Mathematics

2 answers:

lora16 [44]3 years ago

4 0

D is the answer because integers are negative numbers

egoroff_w [7]3 years ago

3 0

Answer:

Step-by-step explanation:

Integers: a WHOLE number that can be positive, negative or zero

-22 is a negative whole number

Rational number: Any number that can be written as a fraction with integers.

-22/1 can be the fraction

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Given points A (1, 2/3), B (x, -4/5), and C (-1/2, 4) determine the value of x such that all three points are collinear

AlladinOne [14]

Answer:

$x=\frac{83}{50}$

Step-by-step explanation:

we know that

If the three points are collinear

then

$m_A_B=m_A_C$

we have

A (1, 2/3), B (x, -4/5), and C (-1/2, 4)

The formula to calculate the slope between two points is equal to

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

step 1

Find the slope AB

we have

$A(1,\frac{2}{3}),B(x,-\frac{4}{5})$

substitute in the formula

$m_A_B=\frac{-\frac{4}{5}-\frac{2}{3}}{x-1}$

$m_A_B=\frac{\frac{-12-10}{15}}{x-1}$

$m_A_B=-\frac{22}{15(x-1)}$

step 2

Find the slope AC

we have

$A(1,\frac{2}{3}),C(-\frac{1}{2},4)$

substitute in the formula

$m_A_C=\frac{4-\frac{2}{3}}{-\frac{1}{2}-1}$

$m_A_C=\frac{\frac{10}{3}}{-\frac{3}{2}}$

$m_A_C=-\frac{20}{9}$

step 3

Equate the slopes

$m_A_B=m_A_C$

$-\frac{22}{15(x-1)}=-\frac{20}{9}$

solve for x

$15(x-1)20=22(9)$

$300x-300=198$

$300x=198+300$

$300x=498$

$x=\frac{498}{300}$

simplify

$x=\frac{83}{50}$

8 0

3 years ago

The elevation of a city is 2633 feet above sea level.

Free_Kalibri [48]

Answer:

+2633 ft

Step-by-step explanation:

The city is above sea level meaning it is a positive number.

5 0

3 years ago

How does sin 30degrees compare to sin -30degrees?

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The sine function is an odd function, so the sine of -30° is the opposite of the sine of 30°.

sin(30°) = 1/2

sin(-30°) = -1/2

The sine of 30° is greater than the sine of -30°.

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3 years ago

In a survey, a group of students were asked to name their favorite day of the week. There were 8 students who chose “other”.

lara [203]

5 % of the students choose other. 95% choose either Saturday or Sunday.
Let x be the number of students who participated.

(5/100) * x = 8 Multiply both sides by 100
5 * x = 8*100
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x = 800/5
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NARA [144]

13 m is the volume of the prism

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