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belka [17]
3 years ago
15

What is the slope of the line that passes through the points (8,7) and (4,5)?

Mathematics
2 answers:
musickatia [10]3 years ago
6 0

Answer:

The slope is \frac{1}{2}

Step-by-step explanation:

The slope formula is \frac{y2-y1}{x2-x1}

(8, 7) is (x1, y1)

(4, 5) is (x2, y2)

Plug in the values:

\frac{5-7}{4-8}

solve:

\frac{-2}{-4}

\frac{1}{2}

The slope is \frac{1}{2}

Varvara68 [4.7K]3 years ago
3 0

Answer:

1/2

Step-by-step explanation:

Y2-y1/x2-x1

-2/-4

1/2

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6; because they are an equal distance apart
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swat32

Answer:

50, 40, 30, 250, 350

Step-by-step explanation:

1/2 = 0.5, 0.5 x 100 = <u>50</u> (0.5 -> 5 -> 50)

2/5 = 0.4 (10 / 5 [the denominator] = 2, 0.2 x 2 [the numerator] = 0.4), 0.4 x 100 = <u>40</u> (0.4 -> 4 -> 40)

3/10 = (10 / 10 [the denominator] = 1, 0.1 x 3 [the numerator] = 0.3), 0.3 x 100 = <u>30</u> (0.3 -> 3 -> 30)

5/2 = 2.5 (2 1/2), 2.5 x 100 = <u>250</u> (2.5 -> 25 -> 250)

7/2 = 3.5 (3 1/2), 3.5 x 100 = <u>350</u> (3.5 -> 35 -> 350)

Note: I'm not sure if I understand the question completely, but I changed the fraction into a decimal and multiplied it by 100. Not sure what it means by "<u><em>Divide</em></u><em> fraction</em>".

3 0
3 years ago
the pattern continues, what would be the eighth number in the pattern?4. 25, 28, 32, 37, 43 ______ PLS HELP ME
fredd [130]

25,28,32,37,43,50,58,67.

\boxed{The\:eighth\:number\:in\:the\:pattern\:is\:67.}

\large\mathfrak{{\pmb{\underline{\red{Step-by-step\:explanation}}{\orange{:}}}}}

25, 28, 32, 37, 43,50,58,67\\ ✒ \: 25 + 3 = 28 \\ ✒ \: 28 + 4 = 32 \\ ✒ \: 32 + 5 = 37 \\ ✒ \: 37 + 6 = 43 \\ ✒ \: 43 + 7 = 50 \\ ✒ \: 50 + 8 = 58 \\ ✒ \: 58 + 9 = 67

\large\mathfrak{{\pmb{\underline{\orange{Happy\:learning }}{\orange{.}}}}}

4 0
3 years ago
What is the positive solution to the equation 0 = –x2 + 2x + 1? Quadratic formula: x = StartFraction negative b plus or minus St
katrin [286]

Answer:

x = 2 + √2

x = 2 - √2

Step-by-step explanation:

- x² + 2x + 1 = 0

x² - 2x - 1 = 0

Here,

a = <em>1</em>

b = <em>- 2</em>

c = <em>- 1</em>

Now,

Discriminant

D = b² - 4ac

= (-2)² - 4(1)(-1)

= 4 + 4

= 8

=2√2 > 0

<em><u>Real and </u></em><em><u>D</u></em><em><u>istinct roots </u></em>

x = - b +- √b² - 4ac/2a

= - (-2) +- √ = (-2)² - 4(1)(-1)/2(1)

= 2 +- √4 + 4/2

= 2 +- √8/2

= 2 +- 2√2/2

= 2 +- √2

x = 2 + √2 or x = 2 - √2

7 0
4 years ago
Consider the following expression and determine which statements are true. x^2+5yz−8
statuscvo [17]

Answer:

A.there are 3 terms.

B.the variables are x, y, and z.

Step-by-step explanation:

Complete question below:

Consider the following expression and determine which statements are true. x^2+5yz−8

CHOOSE 2 ANSWERS)

A.there are 3 terms.

B.the variables are x, y, and z.

C.The coefficient of x is 2.

D.the term 5yz is made up of 2 factors

The expression x^2+5yz-8

has three terms namely: x^2, 5yz and -8

The variables are x, y and z

The coefficient of x is 1 not 2, so option c is wrong

The term 5yz is made up of more than two factors namely 5, y, z, 5y, 5z, 5yz . So option d is also wrong.

The correct answers are option a and option b

A.there are 3 terms.

B.the variables are x, y, and z

8 0
4 years ago
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