All categories

3 years ago

Write a quadratic equation in standard form that has two solutions, -9 and 3

1 answer:

8 0

So for this you need the two solutions to be x= -9 and x=3 then move over the numbers and put in brackets (x+9)(x-3) then multiply together x^2+9x-3x-27 then combine like terms to get x^2+6-27

You might be interested in

Abe,a plumber, charges $50 per hour for making an in-home visit. The Plumbing Service $65 per hour but no set free for a visit.

ArbitrLikvidat [17]

Answer:

Plumber: 13 hours

Plumbing service: 10

Step-by-step explanation:

What you have to find is LCM(least common multiple in order to find the lcm all you have to do is list all the multiples and find their common multiple.

5 0

3 years ago

Read 2 more answers

My questions are in the picture please help

Marrrta [24]

21.

So to solve for the value of a variable in an equation, you would need to isolate x on one side. The first thing you have to do is multiply 2 and (x + 7) together, which can be rewritten as 2(x) + 2(7). After multiplying, your equation would be: $2x+14+3x=12$ , or A.

22.

So the rule with multiplying exponents with the same base is to add the exponents together, and the rule with dividing exponents with the same base is to subtract the exponents. Your equation will be simplified as such:

$4^{(3+4)-9}\\ 4^{7-9}\\ 4^{-2}$

Now the rule with converting negative exponents into fractions is $x^{-m}=\frac{1}{x^m}$ . In this case, 4^-2 would turn into $\frac{1}{4^2}$ , or C, which is your final answer.

6 0

3 years ago

Sin(5x+20)

WINSTONCH [101]

Answer:

Yes.

Step-by-step explanation:

Just like normal algebra, you factor our the common factor, in this case, 5.

Thus,

$\sin(5(x + 4))$

4 0

3 years ago

What’s the answer ? I’m stuck

Law Incorporation [45]

Angle M equals 45°
Angle N equals 15°

3 0

3 years ago

A telephone pole has a wire to its top that is anchored to the ground. The distance from the bottom of the pole to the anchor po

Bumek [7]

Answer:

The height of the pole is 105ft,

Step-by-step explanation:

Let us call $h$ the height of the pole, then we know that the distance from the bottom of the pole to the anchor point is 49, or it is $h - 49$ .

The wire length $d$ is 14 ft longer than height $h$ , hence

$d= h+14$ .

Thus we get a right triangle with hypotenuse $d= y+14$ , perpendicular $h$ , and base $h-49$ ; therefore, the Pythagorean theorem gives

$(h-49)^2+h^2 = (h+14)^2$

which upon expanding we get:

$h^2-98h+2401 = h^2+28h+196$

further simplification gives

$h^2-126h+2205=0$ ,

which is a quadratic equation with solutions

$h =21ft\\h = 105ft.$

Since the first solution $h =21ft$ will give the triangle base length of $21ft-49ft = -28ft$ which is negative; therefore, we disregard it and pick the solution $h = 105ft$ .

Hence, the height of the pole is 105ft.

3 0

3 years ago