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3 years ago

Write the equation whose roots are 6 and 1, and whose leading coefficient is 4.

Mathematics

1 answer:

Black_prince [1.1K]3 years ago

8 0

Answer:

4(x-6)(x-1) = 0

Standard form: 4x^2-28x+24=0

Step-by-step explanation:

First, let's write an equation where the roots are 6 and 1.

To do that, we can use the intercept form a(x-p)(x-q) = 0, where a is the leading coefficient, and p and q are the roots.

We can therefore plug what we know into this equation:

4(x-6)(x-1) = 0

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3 years ago

Below are two parallel lines with a third line intersecting them.

Molodets [167]

The answer is 105 degrees! They are alternate exterior which means they are congruent! Also, they form vertical angles when you set them next to each other :)

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2 years ago

the first term of an arithmetic sequence is 2 and the sum of the first 15 terms is 292.5. Find the common difference

adelina 88 [10]

Given:

First term of an arithmetic sequence is 2.

Sum of first 15 terms = 292.5

To find:

The common difference.

Solution:

We have,

First term: $a=2$

Sum of first 15 terms: $S_{15}=292.5$

The formula of sum of first n terms of an AP is

$S_n=\dfrac{n}{2}[2a+(n-1)d]$

Where, a is first term and d is common difference.

Putting $S_{15}=292.5$ , n=15 and a=2 in the above formula, we get

$292.5=\dfrac{15}{2}[2(2)+(15-1)d]$

$292.5=\dfrac{15}{2}[4+14d]$

$292.5=15[2+7d]$

Divide both sides by 15.

$\dfrac{292.5}{15}=2+7d$

$19.5=2+7d$

$19.5-2=7d$

$17.5=7d$

Dividing both sides by 7, we get

$\dfrac{17.5}{7}=d$

$2.5=d$

Therefore, the common difference is 2.5.

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3 years ago

A cube is shown. What is the surface area of the cube?

valkas [14]

1350 cm^2. First, we must find the area of one side. The formula for the area of a square is S^2 or S*S, so plugging in the value of the side we get 15*15=225. So each side of the cube is 225 cm^2, so since there are 6 sides, we just multiply by 6 (225*6=1350).

4 0

3 years ago

Read 2 more answers

Please help me on this

dlinn [17]

Answer:

-q

Step-by-step explanation:

We know that we are trying to find an expression equivelant to p - q:

p - q can be p - 1q

We can then put parenthesis around -1q:

p + (-1q)

We then can simplify:

p + (-q)

5 0

3 years ago