1.
a.) 2q + 5r
2(7) + 5(-2)
14 - 10 = 4
b.) 3(p + 6) + q + r Plug in the numbers
3(5 + 6) + 7 - 2 Solve inside the parentheses first
3(11) + 7 - 2
33 + 5 = 38
2.
a.) m(3m + 4n)
2(3(2) + 4(3))
2(6 + 12)
2(18) = 36
b.) n²(m + p²)
(3)²(2 + (-5)²)
9(2 + 25)
9(27) = 243
c.) 3m(8 + n) + n²
3(2) (8 + 3) + 3²
6(11) + 9
66 + 9 = 75
Answer: B. Square
Step-by-step explanation:
- All sides of a square have the same length
- All four angles of a square = 90°
- A square has two parallel sides
Answer:
D) 0.1250
Step-by-step explanation:
Let P(J) = Probability of John to purchase 0 books
Let P(B) = Probability of Beth to purchase 0 books
P(J∩B) = Probability that both john and Beth will purchase 0 books .ie. a total of 0 books is purchased.
Since the decisions to purchase books are two independents events,
P(J∩B) = P(J) * P(B)
P(J) = 0.5
P(B) = 0.25
P(J∩B) = 0.5 * 0.25
P(J∩B) = 0.125
2. rhombus
3. rectangle
4. parallelogram
5.trapezoid
6.quadrilateral
Hi there,
x(x + 19) = -34
I'm going to solve your equation step-by-step.<span><span>x<span>(<span>x + 19</span>) </span></span>= <span>−34
</span></span>Step 1: Simplify both sides of the equation.<span><span><span>x2 </span>+ <span>19x </span></span>= <span>−34
</span></span>Step 2: Subtract -34 from both sides.<span><span><span><span>x2 </span>+ <span>19x </span></span>− <span>(<span>−34</span>) </span></span>= <span><span>−34 </span>− <span>(<span>−34</span>)
</span></span></span><span><span><span><span>x2 </span>+ <span>19x </span></span>+ 34 </span>= 0
</span>Step 3: Factor left side of equation.<span><span><span>(<span>x + 2</span>) </span><span>(<span>x + 17</span>) </span></span>= 0
</span>Step 4: Set factors equal to 0.<span><span><span>x + 2 </span>= <span><span><span>0<span> or </span></span>x </span>+ 17 </span></span>= 0
</span><span><span>x = <span>−<span><span>2<span> or </span></span>x </span></span></span>= <span>−17
</span></span>Answer:<span><span>x = <span>−<span><span>2<span> or </span></span>x </span></span></span>= <span>−<span>17
Hope this helps! :)</span></span></span>
