Step-by-step explanation:
a) Perimeter is equal to 2w + 2L
2(3x + 4) + 2(x + 3)
6x + 8 + 2x + 6
8x + 14
b) Put 5 in x's place
8×5 + 14
40 + 14
54
c) Area = (3x + 4) * (x + 3)
Put 4 in x's place
(3×4 + 4) * (4 + 3)
12 + 4 * 7
16 * 7
112
The base is 3+(x), altitude is x so substitute. Now we know the area of a triangle is base X height X 1/2. Substitute again! 1/2 (3+x)(x)=35. Multiply both sides by 2 to cancel out the 1/2. Now you have (x)(x+3)=70 and you have to foil out the left side x^2+3x=70. Subtract 70 on both sides x^2+3x-70=0. Find two numbers that multiply to -70 and add to 3. Solve (x+10)(x-7)=0. the x value is 7. since you can't have negative length values. Substitute 7 into 3+x for the base so you know the base is 10 and the height is 7.
-g(-2) is 10
<u>Step-by-step explanation:</u>
Step 1:
Given g(x) = 3x - 4. Find g(-2).
⇒ g(-2) = 3 × -2 - 4 = -6 - 4 = -10
Step 2:
Find -g(-2)
⇒ -g(-2) = -(-10) = 10
(50+ b)5
= 5* (50+ b) (commutative property)
= 5* 50+ 5* b (distributive property)
= 250+ 5b
= 5b+ 250
The final answer is 5b+ 250.
Hope it helps.
The answer is C
expand the equation then you will get 3-10x-5=9+3x, simplify you get 13x=-11