B>13/9 interval notation

Given a polynomial p(x)=0, which two expressions could be a pair of irrational roots of the equation square root 2-3, 2-square r

sasho [114]

Answer:

2-square root 3, 2+ square root 3

Step-by-step explanation:

If the polynomial has rational and real coefficients, the roots will be "conjugates" of each other. That is, the sum of the root should be a rational number. So, the irrational parts will be opposites, while the rational parts remain the same.

2±√3 . . . can be the roots of p(x) when p(x) has rational real coefficients

4 0

3 years ago

What is the value of y? 39 34 16 20 one of those number is the answer

melomori [17]

Answer:

20

Step-by-step explanation:

we see here that angle RPN is 180 degrees. SPM is 90 degrees so

angle RPS + angle SPM + angle MPN = 180 degrees

(4y - 10) + 90 + y = 180

(4y - 10) + y = 90

5y - 10 = 90

5y = 100

y = 20

5 0

2 years ago

For home economics class, Sandra has 5 cups of flour. She made 3 batches of cookies that each used 1.5 cups of flour. Write and

stealth61 [152]

Because one batch of cookies uses up 1.5 cups of flour, we can write this as:

batch of cookies = 1.5 cups of flour

Because she made 3 batches we can say:

batch of cookies = 1.5 cup of flour * 3 (because she has made three)

This equals to 3 batches of cookies using up 4.5 cups of flour.

Because at the beginning she had 5 cups and she has used 4.5 cups of flour for making the batches of cookies, she is left with 0.5 cups of flour:

5 cups at the start - 4.5 cups used for cooking = 0.5 cups in the end.

8 0

3 years ago

Read 2 more answers

What is the y-intercept of the following equation. 3x-2y=6

tester [92]

3x-2y=6

1) Add -3x to both sides.
 3x−2y=6
+3x +3x
-----------------
−2y=−3x+6

2) Divide both sides by -2.
 $\frac{-2y}{-2}$ = $\frac{−3x+6}{-2}$

y=32x−3

3) Substitute the y with the equation
3x-2(32x-3)=6
3x-64x+6=6

4) Combine like terms
3x-64x+6=6
-61x+6=6

5) Subtract 6 from each side of the equation
-61x+6=6
-6 -6 (+6-5 gets crossed out)
--------------
-61x=0

6) Divide both sides by -61
$\frac{-61x}{-61} = \frac{0}{-61}$
x=0

============================================================

Now that you've got you x intercept, use the x value and substitute it into the
y=32x−3

y=32(0)-3
y=0-3
y=-3

(0,-3)

7 0

3 years ago

Complete the following proof

Nadya [2.5K]

Answer:

Step-by-step explanation:

statment/reason

1) HK≅JK / given (S)

2) IK bisects ∠HKJ / given

3) ∠3≅∠4 / angle bisectors form congruent angles (A)

4) HK≅JK / given

5) IK ≅IK / reflexive propriety (S)

6) ΔIHK≅ΔIJK / SAS theorem of congruency

7) ∠1≅∠2 / corsponding parts of congruent Δs are ≅

8) IK bisects ∠HIJ / angle bisectors form congruent angles

3 0

3 years ago