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3 years ago

WILL MARK BRAINLIEST ANSWER!!! 6. Find the measure of angle x.

Mathematics

2 answers:

ehidna [41]3 years ago

4 0

Answer:

A: 71°

Explanation:

The interior angles of a triangle must always equal 180°.

We have two of the angles, and if we add them up and subtract it from 180°, we can get the missing angle.

49+60+x=180

Add 49 and 60

109+x=180

Isolate the x, so subtract 109 from 180

x=71°

antoniya [11.8K]3 years ago

3 0

Answer:second account

Step-by-step explanation:

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This is the table i need help with

Papessa [141]

2.3 is the other length
Hope this helps :)

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2 years ago

Read 2 more answers

Write the polynomial f(x)=x^4-10x^3+25x^2-40x+84. In factored form

Verizon [17]

<h2>Steps:</h2>

So firstly, to factor this we need to first find the potential roots of this polynomial. To find it, the equation is $\pm \frac{p}{q}$ , with p = the factors of the constant and q = the factors of the leading coefficient. In this case:

$\textsf{leading coefficient = 1, constant = 84}\\\\p=1,2,3,4,6,7,12,14,21,28,42,84\\q=1\\\\\pm \frac{1,2,3,4,6,7,12,14,21,28,42,84}{1}\\\\\textsf{Potential roots =}\pm 1, \pm 2,\pm 3,\pm 4,\pm 6, \pm 7,\pm 12,\pm 14,\pm 21,\pm 28,\pm 42,\pm 84$

Next, plug in the potential roots into x of the equation until one of them ends with a result of 0:

$f(1)=(1)^4-10(1)^3+25(1)^2-40(1)+84\\f(1)=1-10+25-40+84\\f(1)=60\ \textsf{Not a root}\\\\f(2)=2^4-10(2)^3+25(2)^2-40(2)+84\\f(2)=16-10*8+25*4-80+84\\f(2)=16-80+100-80+84\\f(2)=80\ \textsf{Not a root}\\\\f(3)=3^4-10(3)^3+25(3)^2-40(3)+84\\f(3)=81-10*27+25*9-120+84\\f(3)=81-270+225-120+84\\f(3)=0\ \textsf{Is a root}$

Since we know that 3 is a root, this means that one of the factors is (x - 3). Now that we know one of the roots, we are going to use synthetic division to divide the polynomial. To set it up, place the root of the divisor, in this case 3 from x - 3, on the left side and the coefficients of the original polynomial on the right side as such:

3 | 1 - 10 + 25 - 40 + 84
_________________

Firstly, drop the 1:

3 | 1 - 10 + 25 - 40 + 84
↓
_________________
1

Next, multiply 3 and 1, then add the product with -10:

3 | 1 - 10 + 25 - 40 + 84
↓ + 3
_________________
1 - 7

Next, multiply 3 and -7, then add the product with 25:

3 | 1 - 10 + 25 - 40 + 84
↓ + 3 - 21
_________________
1 - 7 + 4

Next, multiply 3 and 4, then add the product with -40:

3 | 1 - 10 + 25 - 40 + 84
↓ + 3 - 21 + 12
_________________
1 - 7 + 4 - 28

Lastly, multiply -28 and 3, then add the product with 84:

3 | 1 - 10 + 25 - 40 + 84
↓ + 3 - 21 + 12 - 84
_________________
1 - 7 + 4 - 28 + 0

Now our synthetic division is complete. Now since the degree of the original polynomial is 4, this means our quotient has a degree of 3 and follows the format $ax^3+bx^2+cx+d$ . In this case, our quotient is $x^3-7x^2+4x-28$ .

So right now, our equation looks like this:

$f(x)=(x-3)(x^3-7x^2+4x-28)$

However, our second factor can be further simplified. For the second factor, I will be factoring by grouping. So factor x³ - 7x² and 4x - 28 separately. Make sure that they have the same quantity inside the parentheses:

$f(x)=(x-3)(x^2(x-7)+4(x-7))$

Now it can be rewritten as:

$f(x)=(x-3)(x^2+4)(x-7)$

<h2>Answer:</h2>

Since the polynomial cannot be further simplified, your answer is:

$f(x)=(x-3)(x^2+4)(x-7)$

6 0

2 years ago

Which answer would it be?<br> A. Graph C<br> B. Graph B<br> C. Graph A<br> D. Graph D

Mkey [24]

Answer:

Step-by-step explanation:

y < 1/3x -4

The y intercept is -4

The slope is 1/3

y is less than so the line is dotted

y is less than so we colour below the line

Please vote for Brainliest and I hope this helps!

5 0

2 years ago

Im not sure whats it asking (even thought its infront of my face) Can someone sum op what its trying to tell me to do?

lakkis [162]

U hace to draw the coordinates and then multiply the line with enlargement and note the coordinates

5 0

3 years ago

Instructions: Select the correct answer from each drop-down menu.

vovangra [49]

Answer: The answer is (A) $\dfrac{4}{3}.$ and (C) $4x-3y=0.$

Step-by-step explanation: We are given a graph with a point A having co-ordinates (3, 4) and origin O(0, 0). We are to find the slope and equation of line OA.

Since O(0, 0) and A(3, 4) are two points on the line OA, so its slope will be

$m=\dfrac{4-0}{3-0}=\dfrac{4}{3}.$

And the equation of the line will be

$y-0=\dfrac{4}{3}(x-0)\\\\\\\Rightarrow y=\dfrac{4}{3}x\\\\\\\Rightarrow 3y=4x\\\\\Rightarrow 4x-3y=0.$

Thus, the correct options are (A) and (C).

6 0

3 years ago