C
You can use the pythagorean theorem.
5^2+4^2 =c^2 (or length of AB in this case)
25+16=c^2
41=c^2
c (or length of AB) = sqrt 40
Its -1,3
<span>y=4<span>x2</span>+8x+7</span>
There is a formula for finding the vertex= <span>y=a<span>x2</span>+bx+c</span>
<span>h=−<span>b<span>2a</span></span></span> and <span>k=c−<span><span>b2</span><span>4a</span></span></span>
Solve for h with <span>a=4</span> and <span>b=8</span> and <span>c=7</span>
<span>h=−<span>b<span>2a</span></span>=<span><span>−8</span><span>2⋅4</span></span>=−1</span>
<span><span>
=</span>−<span>b<span>2a</span></span>=<span><span>−8</span><span>2⋅4</span></span>=−1</span>
Solve for k
<span>k=c−<span><span>b2</span><span>4a</span></span>=7−<span><span>82</span><span>4⋅4</span></span>=7−<span>6416</span>=7−4=3</span>
Our vertex is at <span>(−1,3)</span>
<span>y=4<span>x2</span>+8x+7</span> with vertex at <span>(−1,3)</span>
Answer: 39 students
Step-by-step explanation:
First, remove the number of students who traveled by car from the total number so we can see the number of students who traveled by bus:
= 197 - 2
= 195 students by bus.
These 195 students traveled in 5 buses. The number of students on each bus is therefore:
= No. of students traveling by bus / No. of buses
= 195 / 5
= 39 students
Answer:
No
Step-by-step explanation:
y=0.375x is a proportional or linear relationship because y is a consant multiplied by the variable x. In other words, x increases with y at a linear rate, therefore being proportional.
