Answer:
The solution to the given system of equations is
(
,
)
Step-by-step explanation:
Given system of equation are
To solve equation by using elimination method
Now subtracting equations (1) and (2)
_________________
5x=-16
Substitute in equation (1)
Therefore the solution is
(,)
Answer:
∠2=121°
Step-by-step explanation:
Ok, firts know that supplementary angles add up to 180 degrees, it means that ∠1+∠2=180°, and we are told that ∠1=4y+7 and ∠2=9y+4. <u>We need ∠2</u>.
∠1+∠2=180°
(4y+7)+(9y+4)=180 Solve the equation, finding y.
13y+11 = 180
y = (180-11)/13
y = 169/13
y = 13
Now we know y, ∠2=9(13)+4=121°
Since you’re dealing with a linear equation in slope-intercept form, we know the equation is going to be in the form of y=mx+b.
Therefore, we need to find the slope (“m”) of the line (change in y/change in x), which is rise/run. We also need to find the y-intercept (“b.”)
1.) (0, -3) (1, -1)
We took two points from the line to find the slope. We will use the 2 coordinate pairs to find the slope.
2.) m=(y2-y1)/(x2-x1)
This is the slope “m” formula.
3.) m=( -1+3)/(1-0)
Input the coordinate values into the formula. The +3 you see is due to -(-3)=+3.
4.) m=2/1
We simplified the above formula.
5.) m=2
By division.
We now have the slope or “m.” M=2. Therefore, the equation rises 2 units and runs 1 unit.
Now, finding the y-intercept:
The y-intercept or “b” is where the line intersects the y-axis. It is the starting point of a linear equation.
To find the y-intercept, we need to figure out what the output is when the input is 0. We can see on the table in the picture that with an input of 0, the output is -3.
Therefore, b=-3. This is because an input of 0 means that there is no movement on the x-axis, so we can determine where the where the linear intercepts the y-axis.
Therefore, the equation is y=2x-3, where m=2 and b=-3.
That’s the answer: y=2x-3
Complete Question
The complete question is shown on the first uploaded image
Answer:
The correct option is C
Step-by-step explanation:
From the question we are told that
The radius of the cylinder is 
The height of the right cone is 
From the diagram we see that container B is a semi -sphere and the volume of a semi-sphere is mathematically represented as
The question tells us that both container has the same radius so
This equivalent to
Solving the equation will produce the same formula as
