Answer:
Step-by-step explanation:
We want to write the equation for a quadratic function in vertex form with vertex at (-1, 6) that passes through the point (-3, 4).
Vertex form is given by:
Where (<em>h, k</em>) is the vertex and <em>a</em> is the leading coefficient.
Since our vertex is at (-1, 6), <em>h</em> = -1 and <em>k</em> = 6. Substitute:
Simplify:
Next, since the quadratic passes through the point (-3, 4), f(x) = 4 when <em>x</em> = -3. Substitute:
Solve for <em>a</em>. Simplify:
Hence:
Therefore, our function in vertex form is:
Answer:
x = y/5 + 6/5
Step-by-step explanation:
Solve for x:
5 x - y = 6
Add y to both sides:
5 x = y + 6
Divide both sides by 5:
Answer: x = y/5 + 6/5
Answer: 
and 
Step-by-step explanation:
Given: In ΔMNO and ΔQRS
To prove that the triangles are similar by the SSS similarity theorem [corresponding sides of similar triangles are proportional], there must be the third pair of corresponding sides,
That must be and
such that 
Answer:
3 hours + 5hours = 8 hours ÷ 2 =
4 hours is your answer.
Step-by-step explanation:
If you have 2 people working and need to know how long it would take them to finish a job. Working together on the same job, you add each of their total hours to do the job alone,, 5 + 3 = 8, then divide the 8 by 2 people
equals 4 hours for 2 people on 1 job.
On the graph, we can see that when x=1, y=0.
But we don't even need to bother opening the attachment
and studying the graph !
In your question, you said that one point on the function is (1, 0) .
That means that when 'x' is 1, 'y' is zero. And there you are !
