Question

9 note: figure not drawn to scale. the triangle shown has a perimeter of 22 units. if x = 9 units and y = 7 units, what is the value of z, in units? a) 6 b) 7 c) 9 d) 16 10 the function h is defined by h(x)=3x - 7. what is the value of h(-2)? a) -13 b) -10 c) 10 d) 13

Explanation:

Question 9

Step1: Recall perimeter formula

The perimeter $P$ of a triangle is $P=x + y+z$. We know $P = 22$, $x = 9$ and $y = 7$.

Step2: Substitute values and solve for $z$

Substitute into the formula: $22=9 + 7+z$. Simplify the right - hand side: $9 + 7=16$, so $22=16 + z$. Then subtract 16 from both sides: $z=22 - 16=6$.

Step1: Substitute $x=-2$ into the function

Given $h(x)=3x - 7$, substitute $x = - 2$. We get $h(-2)=3\times(-2)-7$.

Step2: Calculate the result

First, calculate $3\times(-2)=-6$. Then $h(-2)=-6 - 7=-13$.

Answer:

A. 6

Question 10