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kirill115 [55]
3 years ago
7

Consider the graph below.

Mathematics
1 answer:
alina1380 [7]3 years ago
4 0

Answer:

B. y = x - 8

Step-by-step explanation:

✔️First, find the slope of the line using two points on the line, say (0, -8) and (8, 0):

slope (m) = \frac{y_2 - y_1}{x_2 - x_1} = \frac{0 - (-8)}{8 - 0} = \frac{8}{8} = 1

slope (m) = 1

✔️Find the y-intercept (b):

The y-intercept is -8. The line intercepts the y-axis at y = -8.

b = -8

✔️Next, substitute m = 1, and b = -8 into y = mx + b:

Thus:

y = (1)x + (-8)

y = x - 8

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(+7) x (-3) math intergers
IrinaK [193]

Answer:

-21

Step-by-step explanation:

- * + = -

- * - = +

+ * + = +

Here + * - = -

7* 3 = 21 and sign is -ve

4 0
3 years ago
Read 2 more answers
Explain how the distance formula can prove Pythagoras' Theorem. In your
Paul [167]

Answer:

Given a triangle ABC, Pythagoras' Theorem shows that:

c^2=a^2+b^2

Thus,

c = \sqrt{a^2+b^2}

The distance formula, gives an equivalent expression based on two points at the end of the hypotenuse for a triangle.

d^2 = (x_{2} -x_{1})^2 + (y_{2} -y_{1})^2

d = \sqrt{(x_{2}-x_{1})^2 +  (y_{2} -y_{1})^2 }

Therefore when given the hypotenuse with endpoints at

(x_{1}, y_{1})  and {(x_{2}, y_{2})

We know that the third point of the right triangle will be at

(x_{2}, y_{1})

and that the two side lengths will be defined by the absolute values of:

(x_{2} - x_{1}) = a

(y_{2} - y_{1}) = b

8 0
2 years ago
Estimate the difference 7 3/4-2/25 Show your work.
crimeas [40]

Answer: 7 3/4 - 2/25 = 767/100  = 7  67/100 = 7.67

Step-by-step explanation:

Conversion a mixed number 7 3/4

to a improper fraction: 7 3/4 = 7 3/4  = 7 · 4 + 3/4= 28 + 3/4 = 31/4

To find a new numerator:

a) Multiply the whole number 7 by the denominator 4. Whole number 7 equally 7 * 4/4 = 28/4

b) Add the answer from previous step 28 to the numerator 3. New numerator is 28 + 3 = 31

c) Write a previous answer (new numerator 31) over the denominator 4.

Seven and three quarters is thirty-one quarters

Subtract: 31/4 - 2/25= 31 · 25/4 · 25 - 2 · 4/25 · 4 = 775/100 - 8/100 = 775 - 8/

100 = 767/100

6 0
2 years ago
Read 2 more answers
Josie is training for a race the ratio of the number of minutes she wants to the number of miles she wants is 2043 she plans to
guajiro [1.7K]

Answer:

Josie takes 0.93 minutes to run 2 miles.

Step-by-step explanation:

We are given the following in the question:

Ratio:

Number of minutes: Number of miles = 20:43

Josie wants to run 2 miles. We have to find the number of minutes she need to run to maintain the ration.

Let x be the number of minutes Josie run.

This can be done in the following manner:

\dfrac{20}{43} = \dfrac{x}{2}\\\\\Rightarrow x = \dfrac{20}{43}\times 2\\\\\Rightarrow x = 0.93

Thus, Josie takes 0.93 minutes to run 2 miles.

8 0
3 years ago
name a factor pair for a rectangle that has an area of 50 sq. cm.and a perimeter greater than 100 cm.
ioda
<span>a rectangle of dimensions 1 cm * 50 cm has a perimeter of 102 cm.</span>
7 0
3 years ago
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