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3 years ago

Write an equation of the line that passes through point (-1, 5) and has the slope m = 4.

Mathematics

1 answer:

Juliette [100K]3 years ago

6 0

Step-by-step explanation:

Given

Slope (m) = 4

Point ( -1 , 5)

Now the equation of line is

y - y1 = m ( x - x1)

y - 5 = 4 ( x + 1)

y - 5 = 4x + 4

4x + 4 - y + 5= 0

4x - y + 9 = 0

which is the required equation

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Please help this is due today!

dalvyx [7]

Answer:

The solution of $\frac{1}{4}x \leq 2$ is $\mathbf{x\leq 8}$

Graph of the solution is attached in the figure below.

Step-by-step explanation:

We need to the graph the solution of $\frac{1}{4}x \leq 2$

First we will solve to find value of x

$\frac{1}{4}x \leq 2$

Multiply both sides by 4

$\frac{1}{4}x\times 4 \leq 2\times 4 \\x\leq 8$

So, the solution of $\frac{1}{4}x \leq 2$ is $\mathbf{x\leq 8}$

Graph of the solution is attached in the figure below.

The graph contains both number line and on graph paper also.

3 0

3 years ago

A pan is heated to 409°F, then removed from the heat and allowed to cool in a kitchen where the room temperature is a constant 7

Irina18 [472]

Answer: C. $265.9^{\circ}F$

Step-by-step explanation:

Given: The formula below can be used to find D, the difference in temperature between the pan and the room after t minutes.

$D = 338e^{-0.03t}$

At t= 8 minutes, we get

$D = 338e^{-0.03(8)}\\\\\Rightarrow\ D = 338e^{-0.24}\\\\\Rightarrow\ D = 338(0.786627861067)\\\\\Rightarrow\ D = 265.88\approx265.9^{\circ}F$

The approximate temperature of the pan after it has been away from the heat for 8 minutes= $265.9^{\circ}F$

6 0

3 years ago

Here's a graph of a linear function. Write the equation that describes that function. 8 Express it in slope intercept form. Ente

Stolb23 [73]

Answer:

f(x) = $\frac{1}{2}x+4$

Step-by-step explanation:

Let the equation of the function is,

f(x) = mx + b

Here, m = slope of the line

b = y-intercept

From the graph attached,

y-intercept 'b' = 4

Slope = $\frac{\text{Rise}}{\text{Run}}$

= $\frac{4}{8}$

= $\frac{1}{2}$

Therefore, equation of the function representing the graph will be,

f(x) = $\frac{1}{2}x+4$

5 0

3 years ago

Solve the following equation:<br>17x = 102

Furkat [3]

Answer:

x=6

Step-by-step explanation:

Step 1: Divide both sides by 17.

17x17=10217

x=6

3 0

3 years ago

Read 2 more answers

What is the area of a circle whose radius is 20 meters

Andrews [41]

A≈1256.64 m² thats the answer

8 0

3 years ago