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2 years ago

What is the slope of the line that passes through the points (4, 7) and (8, 9)

Mathematics

1 answer:

SSSSS [86.1K]2 years ago

3 0

Answer:

y = 0.5x + 5

Step-by-step explanation:

Use the slope formula to find the slope of a line given the coordinates of two points on the line.

The slope formula is:

m = $\frac{y{2}-y{1} }{x{2}- x{1} }$ = $\frac{y}{x}$

The coordinates of the first point represent x1 and y1. The coordinates of the second points are x2, y2.

Now let's fill in the formula with the points,

m = $\frac{8-4}{9-7}$

Solve,

⇒ Y = 9 – 7 = 2

⇒ X = 8 – 4 = 4

m = $\frac{8-4}{9-7}$ = $\frac{2}{4}$

Simplify,

⇒ $\frac{2}{4}=\frac{1}{2}=0.5$

Therefore, the Equation of the line is y = 0.5x + 5.

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Which inequality represents the graph

Zolol [24]

Answer:

z≥-10

Step-by-step explanation

it just is, trust.

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3 years ago

Georgia works part-time at a daycare while she is going to college. She earned $160 last week. Georgia worked 12 more hours than

Lelu [443]

Answer:

B. $8

Step-by-step explanation:

Given:

Total payment, T = $160

Hourly rates = $t/hour

= total payment/total time worked

The question said, "worked 12 more hours than the amount she is paid per hour".

Total time worked = (12 + t) hour

Therefore, Hourly rates of payment, t = 160/(12 + t)

t^2 + 12t - 160 = 0

Solving the above quadratic equation,

t = -20 and 8

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3 0

3 years ago

A deep sea diver started at sea level (0 feet) and dove at a rate of 5.6 feet per minute. If the diver dove for ½ hour, what rat

Leona [35]

Given:

A deep sea diver started at sea level (0 feet).

Rate of diving = 5.6 feet per minute.

Time = $\dfrac{1}{2}$ hour

To find:

The rational number that represents his position relative to sea level.

Solution:

We know that,

1 hour = 60 minutes

$\dfrac{1}{2}$ hour = 30 minutes

A deep sea diver, dove at a rate of 5.6 feet per minute.

Distance covered in 1 minute = 5.6 feet

Distance covered in 30 minute = 30 × 5.6 feet

= 168 feet

The diver dove 168 feet in $\dfrac{1}{2}$ hour. Since it is below the sea level, therefore it should be negative.

So, the rational number that represents his position relative to sea level is $-168$ feet.

Therefore, the correct option is D.

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3 years ago

True or False - the following scenario depicts an independent relationship between variables (tree growth and air quality): 20%

Aneli [31]

True it will be true

7 0

3 years ago

Read 2 more answers

Find the slope of the tangent line to the curve f(x)=e^(x) at (0.4,1.49)

almond37 [142]

Answer:

1.49

Step-by-step explanation:

In order to find the slope of the tangent line to a given equation, and in a given point, we need to:

1. Find the first derivative of the given function.

2. Evaluate the first derivative function in the given point.

1. Let's find the first derivative of the given function:

The original function is $f(x)=e^{x}$

But remeber that the derivative of $e^{x}$ is $e^{x}$

so, $f'(x)=e^{x}$

2. Let's evaluate the first derivative function in the given point

The given point is (0.4,1.49) so:

$f'(x)=e^{x}$

$f'(0.4)=e^{0.4}$

$f'(x)=1.49$

Notice that the calculated slope of the tangent line is equal to the y-coordinate of the given point because f'(x)=f(x). In conclusion, the slope of the tangent line is equal to 1.49.

8 0

3 years ago