Answer:
y=3x+1, or the second option
Step-by-step explanation:
We can see on the graph the line converges with the y-axis at (0, 1), so we can cross out the last two answers. Then we can also see that the slope is 3 on the graph and an equation that has x^2 must be a parabola. The answer is then narrowed down to the second option.
Step-by-step explanation:
(1) Factor the GCF out of the trinomial on the left side of the equation. (2 points: 1 for the GCF, 1 for the trinomial) 2x²+6x-20=0
2x²+6x-20
2(x²+3x-10)
the factors are 2 and (x²+3x-10)
(2) Factor the polynomial completely. (4 points: 2 point for each factor)
2(x²+3x-10)
2(x²-2x+5x-10)
2(x(x-2) + 5(x-2)) group like terms
2(x+5)(x-2)
(3) If a product is equal to zero, we know at least one of the factors must be zero. And the constant factor cannot be zero. So set each binomial factor equal to 0 and solve for x, the width of your project. (2 points: 1 point for each factor)
constant = 2 cannot be zero
the other factors are (x+5) and (x-2)
(x+5)=0 => x= -5
or
(x-2)=0 => x=2
(4) What are the dimensions of your project? Remember that the width of your project is represented by x. (2 points: 1 point for each dimension)
thank you so much, sorry if it's a little confusing!!
(it is indeed confusing, because physical dimensions cannot be negative)
The dimensions of the project (assumed a rectangle) are +2 and -5
<u><em>Answer:</em></u>
Scott will need 168 ft² of pavers to cover his patio
<u><em>Explanation:</em></u>
Scott wants to cover a trapezoid-shaped patio
<u>This means that:</u>
To get the number of square feet of pavers he'll need, we need to get the area of his patio
<u>Area of trapezium id calculated as follows:</u>
<u>We are given that:</u>
base₁ = 11 ft
base₂ = 13 ft
height = 14 ft
<u>We now substitute with the givens to get the area as follows:</u>
<u>This means that:</u>
Scott will need 168 ft² of pavers to cover his patio
Hope this helps :)
The probability would be B because it is 8 cubed.
Answer:
A = 24 cm^2
Step-by-step explanation:
The area of a triangle is
A = 1/2 bh
A = 1/2 (6)*8
A = 24 cm^2
