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3 years ago

Find the value of x when the area of a triangle is 22 in2 and has a base of 3x-1 and height of x.

1 answer:

5 0

The formula for the area of a triangle is (1/2)bh = A
when we plug in the numbers, we get (1/2)(3x-1)x = A
using the distributive property we get (1.5x - .5)x = A
Then its 1.5x^2 - .5x = A
then if we factor out 0.5x we get 0.5x(3x-1) = A
then with the zero product property, 0.5x can equal 0 and x would need to equal 0.
if 3x-1 = 0 , then 3x = 1 then x = 1/3. so our answer would be 1/3 I'm pretty sure because a length cannot be 0

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What is the solution for X in the equation 4x - 3 + 5 = 2x + 7 - 8x

PolarNik [594]

Answer:

C. X = 1/2

Step-by-step explanation:

4x - 3 + 5 = 2x + 7 - 8x

4x +2 = - 6x + 7

4x + 6x = 7 - 2

10x = 5

x = 1/2

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2 years ago

Jude factored 28x2 as (14x)(2x²).

Yuri [45]

Answer:

Only Jude

Step-by-step explanation:

To show 28 x 2 we show 14 x 2 x 2

The x would be cancelled out in this process so x *x would work to enable a product of 56.

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3 years ago

Factor the polynomial F(x) =x^3-x^2-4x+4 completely.

Norma-Jean [14]

Answer:

Step-by-step explanation:

PART 1:

Possible roots by noticing the coefficient of first term:

x = 1, -1

PART 2:

1 | 1 -1 -4 4

1 0 -4 0

The remainder is zero, hence one factor is (x-1)

PART 3:

$x^3-x^2-4x+4=(x^2-4)(x-1)\\\\x^3-x^2-4x+4=(x+2)(x-2)(x-1)$

PART 4:

$f(x)=(x+2)(x-2)(x-1)\\\\=(x^2-4)(x-1)\\\\=x^3-4x-x^2+4\\\\=x^3-x^2-4x+4$

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3 years ago

The mold for a cone has a diameter of 4 inches in 6 inches tall what is the volume of the cone mold to the nearest 10th

anygoal [31]

Hey there!

The formula for the volume of a cone is $V=\pi r^{2} \frac{h}{3}$ .

In this cone, we have the given information:

Its diameter is 4 inches
Its height is 6 inches

The information we need for this formula is the radius and height.

We already have the height, but not the radius.

Fortunately, we can easily get it by dividing the diameter by 2.

$4 \div 2 = 2$

So, the radius is 2.

Let 3.14 be $\pi$ .

Plug in each value into the equation. $V = 3.14 \times 2^{2} \times \frac{6}{3}$

Simplify the exponent and fraction.

$V = 3.14 \times 4 \times 2$

Multiply the three numbers together.

$V = 25.12$

But wait! We have to round this to the nearest tenth.

When rounding, we look at the place value one less than the one we are rounding to. Since we are rounding to the nearest tenth, we look at the hundredths place, which is the digit 2.

Since 2 is less than 5, we round down to 25.1.

This is the volume of a cube, and it is measured in inches, so the unit we will use is $in^{3}$ .

So, your <u>final answer</u> is $25.1 in^{3}$ !

Hope this helps!

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2 years ago

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vova2212 [387]

Answer: 160

Step-by-step explanation:

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3 years ago