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2 years ago

Write an equation of the line

Mathematics

1 answer:

oee [108]2 years ago

3 0

Answer:

y= -2/1x + 8 or y= -2x + 8

Step-by-step explanation:

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1. Find the vertex of the following: y = (x - 4)(x - 10) *

horsena [70]

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

$\frac{-b}{2a}$

First make the equation into a quadratic equation.

$(x-4)(x-10)\\x^{2} -10x-4x+40\\x^{2} -14x+40$

Now it is in the form

$ax^{2} +bx+c=0$

Now we can substitute the values

$\frac{-(-14)}{2(1)} \\\frac{14}{2} \\7$

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

$x^{2} -14x+40=y\\(7)^{2} -14(7)+40=y\\49-98+4=y\\y=-9$

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.

$x-4=0\\x=4\\\\x-10=0\\x=10$

4 is slightly different but start the same,

$(x-3)(x+3)\\x^{2}+3x-3x-9\\x^{2}-9$

Here, c (9) just shows the graph move down 9, so the y intercept = 9.

5 is the same process as 1,

$2(x-3)(x+5)\\2(x^{2}+5x-3x-15)\\2(x^{2}+2x-15)\\2x^{2}+4x-30$

Vertex,

$\frac{-(4)}{2(2)} \\\frac{-4}{4} \\-1$

Substitute,

$2x^{2}+4x-30\\2(-1)^{2}+4(-1)-30\\2-4-30\\-32$

So the vertex is (-1,-32)

8 0

3 years ago

Which statement is true about the graph of

Alekssandra [29.7K]

The answer is C it’s vertex is at (2,4) because a quadratic formula is suppose to look like y= a ( x - h )^2 + k and the vertex is (h,k) when you look back at Your question h=-2 and but Bc of the formula then it’ll be h=2 and then k=4 and that’s how you get the vertex from a quadratic formula. Hope this helps :)

6 0

2 years ago

Please could someone please explain how i do this, much appreciated!

Vilka [71]

You want to multiply together the number of possible choices for each digit in the code.

0-9 is ten possible numbers, since repetitions are allowed (example code 2,2,2,2) there are ten possible choices per digit in the code.

10*10*10*10 = 10,000 four digit coded possible

6 0

2 years ago

A triangular prism. The base of a triangular side is shaded. What are the possible shapes of cross sections of this figure? A cr

Alexxandr [17]

Answer:

the first one is triangle and the second one is rectangle

Step-by-step explanation:

i just did it on edge

3 0

2 years ago

Read 2 more answers

It takes jada 20 minutes to walk to school. It takes Andre 80% as long to walk to school.