Remember, you can do anything to an equation as long as you do it to both sides
we hates fractions
times both sides by 3
(we could have added 1/3b to both sides but I'm lazy)
4b+6=12-b
add b to both sides
5b+6=12
minus 6 both sides
5b=6
divide both sides by 5
Cos D = adjacent of angle D/ Hypotenus
=33/65
Answer:
1. (7,-9)
2. (4,0) and (10,0)
3. (3,0) and (-3,0)
4. (0,-9)
5. (-1,-32)
Step-by-step explanation:
To find the vertex use the formula

First make the equation into a quadratic equation.

Now it is in the form

Now we can substitute the values

Now we have 7 as our x value for the vertex we can substitute for y,

So the vertex for 1 is (7,-9)
To find the intercepts for 2 & 3, they basically already give it to you. You just need to find a value for x for x-4 that will equal it to 0 and another for x for x-10 that will equal it to 0.

4 is slightly different but start the same,

Here, c (9) just shows the graph move down 9, so the y intercept = 9.
5 is the same process as 1,

Vertex,

Substitute,

So the vertex is (-1,-32)
Answer:
D) x = -2/3 and x = 6
Step-by-step explanation:
4(x²−x+2)−(x+10)(x+2) Distribute
(4)(x²) + (4)(−x) + (4)(2) + − x² + −12x + −20 Multiply
4x² + −4x + 8 + −x² + −12x + −20 Combine like terms
(4x² + −x²) + (−4x + −12x) + (8 + −20) Combine like terms
3x² −16x −12 = 0
x = -2/3 and x = 6
I graphed the equation on the graph below.
If this answer is correct, please make me Brainliest!
The answer is 4140
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