Answer: y=-3x-4
Step-by-step explanation:
Since we know slope, we can plug it into slope-intercept form to find the y-intercept by using the given points,
y=-3x+b
8=-3(-4)+b
8=12+b
b=-4
Now that we know the y-intercept, we can complete the slope-intercept form.
y=-3x-4
The strategy<span>Model the situation as a right triangle.
Determine the appropriate trigonometric ratio in order to find the missing angle.
Form an equation and solve for the missing angle.Calculate the final result and round.
</span>
Modeling as a right triangleThis situation can be modeled by the following right triangle. The hypotenuse is 100 meters and the height is 42 meters. <span>We are asked to find the angle of elevation, which is the angle on the left.
</span>Determining the appropriate trigonometric ratio
We are given the side opposite to the missing angle and the hypotenuse <span>The appropriate trigonometric ratio is therefore the SINE.
</span>
<span>
Forming an equation and solving</span>
Denoting the missing angle by θ, we obtain the equation

<span>
</span>Solving the equation, we get

Evaluating this result in the calculator and rounding to the nearest tenth, we get θ =

degrees.
Answer:
D
.(w)(2w+7)=85
Step-by-step explanation:
Hi, to answer this question we have to apply the next formula:
Area of a rectangle: width x length
Since the length will be 7 feet longer than twice its width (w).
So, to obtain the length we have to multiply the width by 2 (twice) and add 7.
Mathematically speaking:
Length: 2w+7
Back with the area formula:
Area of a rectangle: length x width
Replacing with the values given:
85 = w (2w+7)
Note: option D correct equation is D
.(w)(2w+7)=85, since we don't have x variables.
Hello!
We solve this algebraically
y + 6 = 3/2(x - 4)
We distribute the 3/2
y + 6 = 3/2x - 6
If you work with decimals easier we can make 3/2 into a decimal
y + 6 = 1.5x - 6
Add 6 to both sides
y + 12 = 1.5x
subtract y from both sides
1.5x + -y = 12
Hope this helps!
Go up 7 on the coordinate plane (up 7 on the y-axis). Go left 2 on the x-axis. Draw a dot where -2 and 7 meet. That is the point. Assuming you have a grid go up 4 and 1 to the right. Draw a point. Then go back to the first point (-2,7). Go down 4 and 1 to the left. Repeat this as many times as you want. Connect the points and draw the line.