B
The y-intercept will be zero because the line crosses the y axis at 0
And to find slope we do rise over run, so we went down -5 and went over 4, so our slope is -5/4
Answer:
6x² + x - 12 = (2x + 3) (3x - 4)
Step-by-step explanation:
Factor 6x² + x - 12 by grouping
we need to rewrite the middle term as a sum of two terms whose product is (6* −12) = −72 and whose sum is 1
The middle term = x = 9x - 8x
6x² + x - 12
= 6x² + 9x - 8x - 12 Grouping the first two terms and the last two terms
= (6x² + 9x) + ( - 8x - 12)
From the first two terms take 3x as a common and from the two terms take (-4) as a common
= 3x ( 2x + 3) -4 (2x + 3)
Take (2x + 3) as a common
= <u> (2x + 3) (3x - 4)</u>
You can focus on the two sub-triangles ABC and ACD
We know that they are both right triangles, because we're given that AC and BD are perpendicular.
The sides AB and AD are the hypothenuses of these triangles, so we know their length through the pythagorean theorem:
But since we're given 
, the expressions for AD and AB are actually the same expression. This proves that AD=AB, and thus that the triangle is isosceles.
Answer:
y = 9
Step-by-step explanation:
So if x = 3, we can sub that into the equation.
This gives us:
6.4 (* 3) + 2.8y = 44.4
so:
19.2 + 2.8y = 44.4
25.2 = 2.8y
so
y = 9
