Since we need to find the point at which the 2 lines intersect at the x-axis, we need to find where the 2nd line intersects the x axis, by plugging in y=0.
x-2(0)=4
x=4
Therefore, at (4,0).
Now we plug in (4,0) at the first equation.
4b+3(0)=10
4b=10
b=5/2
Therefore, at b=5/2
Answer: y= -x-5
Step 1: Determine which equation to change
Since we will be using the substitution method, we will need to substitute y from the bottom equation with information from the top equation. This will be the equation we change.
Step 2: Change the equation
Let’s rewrite the equation we will be working with.
3x+3y= -15
Our goal will be to get y alone on the left side. To start, let’s subtract 3x from both sides, leaving only 3y on the left side.
3x+3y= -15
3y= -3x-15
Now we need to get y completely alone by eliminating the coefficient of 3. Let’s do this by dividing each term by 3.
3y= -3x-15
y= -x-5
This is your answer. Hope this helps! Comment below for more questions.
The roof will be in the shape of an isosceles triangle with a base length of 30 m and two sides that are 17 m. The two 17 m beams will have the same angle of elevation since they have to might in the middle.
So to find the angle of elevation, we can split the roof in half vertically to create a right triangle. The base will now be 15 m, and the hypotenuse will be 17. Now we can use a trigonometry function to solve for the angle. We know the hypotenuse and the side adjacent to the angle, so we can use cosine.
The answer is 28.1 degrees
Answer:
length = 200 m
width = 400 m
Step-by-step explanation:
Let the length of the plaing area is L and the width of the playing area is W.
Length of fencing around three sides = 2 L + W = 800
W = 800 - 2L ..... (1)
Let A is the area of playing area
A = L x W
A = L (800 - 2L)
A = 800 L - 2L²
Differentiate with respect to L.
dA/dL = 800 - 4 L
It is equal to zero for maxima and minima
800 - 4 L = 0
L = 200 m
W = 800 - 2 x 200 = 400 m
So, the area is maximum if the length is 200 m and the width is 400 m.
Answer:
D: [0,8]
R: [0,3]
Step-by-step explanation:
The domain is the x-values covered by the graph, while the range is the y-values. So to find each, find the lowest and highest x and y value; since this graph is continuous the domain and range will include all values between these points. In this case, the lowest x is 0 and the highest is 8; the lowest y is 0 and the highest is 3. Then to write the answer write is from least to greatest, finally, surround the point by a parenthesis or bracket. The difference is that parenthesis means the value is not included while a bracket means it is. On this graph all points are included, therefore brackets should be used.
