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3 years ago

Is this right or not

Mathematics

1 answer:

mart [117]3 years ago

6 0

The correct answer is x = 12

This is not correct. There are 180° in a triangle, not in each angle. To be 180°, the angle would need to be completely straight (not a triangle).

Since we know this is an equilateral triangle (all three sides are congruent to one another), it is also equiangular (all three angles are congruent to one another). There are 180° in a triangle -- which has 3 angles -- so divide that by 3 to get the measure of the angle (60°).

5x = 60
--- ----
5 5

x = 12

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A recipe for cookies calls for 1 cup of butter, twice as much sugar as butter, and three times as much flour as sugar. How many

slavikrds [6]

You would need 3 cups of flour because 1*2 is 2 and 2*3 is 6 and 6 divided by 2 is 3

3 0

3 years ago

Find all the zeros of the polynomial function p(x) = x3 – 5x2 + 33x – 29

hram777 [196]

Answer:

$\large \boxed{\sf \ \ x=1, \ \ x=2+5i, \ \ x=2-5i \ \ }$

Step-by-step explanation:

Hello,

I assume that we are working in $\mathbb{C}$ , otherwise there is only one zero which is 1. Please consider the following.

First of all, we can notice that 1 is a trivial solution as

$p(1) = 1^3-5\cdot 1^2 + 33\cdot 1-29=1-5+33-29=0$

It means that (x-1) is a factor of p(x) so we can find two real numbers, a and b, so that we can write the following.

$p(x)=(x-1)(x^2+ax+b)=x^3+ax^2+bx-x^2-ax-b=x^3+(a-1)x^2+(b-a)x-b$

Let's identify like terms as below.

a-1 = -5 <=> a = -5 + 1 = -4

b-a = 33

-b = -29 <=> b = 29

$\boxed{ \ p(x)=(x-1)(x^2-4x+29) \ }$

Now, we need to find the zeroes of the second factor, meaning finding x so that:

$x^2-4x+29=0 \ \text{ complete the square, 29 = 25 + 4} \\ \\ x^2-2\cdot 2 \cdot x+2^2+25=0 \\ \\ (x-2)^2=-25=(5i)^2 \ \text{ take the root } \\ \\x-2=\pm 5i \ \text{ add 2 } \\ \\ x = 2+5i \ \text{ or } \ x = 2-5i$

Hope this helps.

Do not hesitate if you need further explanation.

Thank you

5 0

3 years ago

(4x + 2), (2x +3), and (x-2)

Lena [83]

The answer is 7x-3 if you add like terms which are 4x, 2x, and x then take 2, 3, -2 and subtract from each other

4 0

2 years ago

Read 2 more answers

Multiply.

Lena [83]

(4.214) x (3.06) = 12.89484 and can be rounded up to 12.9

6 0

3 years ago

if PQ || RS and the slope of PQ= x-1/4 and the slope of RS is 3/8 then find the value of x justify algebraically and numerically

Artemon [7]

The value of x is 5/8.

Step-by-step explanation:

Given,

The lines PQ and RS are parallel to each other.
slope of PQ= x-1/4
slope of RS = 3/8

The slopes of parallel lines are equal.

slope of PQ = slope of RS

⇒ x-1/4 = 3/8

⇒ (4x-1)/4 = 3/8

⇒ 8(4x-1) = 4(3)

⇒ 32x-8 = 12

⇒ 32x = 20

x = 20/32

x = 5/8

5 0

3 years ago