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3 years ago

What is the slope of the line shown below?

Mathematics

2 answers:

Alborosie3 years ago

8 0

Answer:

C. 2/3

Step-by-step explanation:

You can use the equation: $y_{2} - y_{1}/x_{2} - x_{1}$ to find the slope.

y2 is equal to the y coordinate of the second point: 1

y1 is equal to the y coordinate of the first point: -7

x2 is equal to the x coordinate of the second point: 9

x1 is equal to the x coordinate of the first point: -3

So if you plug these values into the equation, you will get:

1 - (-7)/ 9- (-3)

= 1 + 7/ 9 + 3

= 8/12

= 2/3

brilliants [131]3 years ago

5 0

Answer:

2/3

Step-by-step explanation:

We can find the slope using the slope formula

m = ( y2-y1)/(x2-x1)

= (1- -7)/(9 - -3)

= ( 1+7)/( 9+3)

= 8/12

Simplifying

= 2/3

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Pls help i need to find the area again

valentina_108 [34]

Answer:

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Step-by-step explanation:

3 0

3 years ago

Find an equation of the tangent line to f(x) = 5x2 − 2x + 10 at x = 7.

laiz [17]

Answer:

$y=68x-235$

Step-by-step explanation:

$f(x) = 5x^2-2x + 10$

Differentiate:

$\implies f'(x)=10x-2$

Substitute $x=7$ into $f'(x)$ :

$\implies f'(7)=10(7)-2=68$

Therefore, 68 is the gradient of the tangent line at x=7:

$\implies y-y_1=68(x-x_1)$

when $x=7$ , $y=5(7)^2-2(7)+10=241$

$\implies y-241=68(x-7)$

$\implies y=68x-235$

4 0

2 years ago

Amy is making a cookie recipe which uses teaspoon of sugar per batch. She wants to make 6 batches. How many teaspoons of sugar w

nevsk [136]

She will have to use 6 teaspoon

6 0

2 years ago

Explain how to solve 2^x + 1 = 9 using the change of base formula log base b of y equals log y over log b. Include the solution

elena55 [62]

Answer:

$x=2.170$

Step-by-step explanation:

The given equation is $2^{x+1}=9$ .

We take logarithm of both sides to base 2 to get:

$\log_2(2^{x+1})=\log_29$

Apply the power rule of logarithms to get:

$x+1=\log_29$

We now apply the change of base formula:

$x+1=\frac{\log_{10}9}{\log_{10}2}$

$x+1=\frac{0.9542}{0.3010}$

$x+1=3.1701$

$x=3.1701-1$

$x=2.1701$

To the nearest thousandth, $x=2.170$

7 0

3 years ago

50% of Number is 250 what is 80% of that number

Yakvenalex [24]

We have an equation: 250/?= 50/100

Cross multiply:
50*?= 250*100
⇒ ?= 250*100/50= 500

The number is 500~

We have another equation: ?/500= 80/100

Cross multiply:
100*?= 80*500
⇒?= 80*500/100= 400

80% of 500 is 400~

3 0

2 years ago