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masha68 [24]
2 years ago
12

What does 1) x2 – 5x – 14 = 0 equals?​

Mathematics
1 answer:
LuckyWell [14K]2 years ago
7 0

Answer:

<h3>x = -2 and 7</h3>

Step-by-step explanation:

  • x^2 - 5x - 14 = 0
  • x^2 - ( 7 - 2 )x - 14 = 0
  • x^2 - 7x + 2x - 14 = 0
  • x ( x - 7 ) + 2(x - 7) = 0
  • (x + 2) (x - 7) = 0
  • x = -2 and 7

<h3>Hope it helps !!</h3>
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Suppose 3/4 is a root of a polynomial equation. what does this tell us about the leading coefficient and the constant term in th
snow_tiger [21]

Answer:

Nothing new about leading coefficient. Definition says it can't be zero. It can always be made equal to one by dividing through.

Constant term cannot be zero unless a root is zero.


Step-by-step explanation:

x-3/4 = 0 has root 3/4 constant term -3/4


(x-3/4)(x-b) = 0 has roots 3/4 and b, constant term 3b/4 which is zero only if b is zero.


(x-3/4)(x-b)(x-c) = 0 has roots 3/4, b, c, constant term -3bc/4 which is zero only if b or c is zero.


Etc. ...

5 0
3 years ago
10 percent of 145..........
jeka57 [31]
To get this, take 0.10 x 145 = 14.5
3 0
3 years ago
Read 2 more answers
Which ordered pairs in the form (x, y) are solutions to the equation 3x – 4y = 21? Choose all answers that are correct.
bekas [8.4K]
A. (−3, 3)
<span>3x – 4y = 21
</span>3(-3) - 4(3) = 21
-21 = 21 >>>>> not equal

B. (−1, −6)
<span>3(-1) - 4(-6) = 21
</span>21 = 21 >>>>>>>>>>Equal

C. (7, 0)
<span>3(7) - 4(0) = 21
</span>21 = 21>>>>>>>>>>equal

D. (11, 3)
<span>3(11) - 4(3) = 21
</span>21 = 21 >>>>>>>>>equal
5 0
3 years ago
Read 2 more answers
Complete the two-column proof by providing a reason for each of the five statements.
Mnenie [13.5K]

Answer:

Step-by-step explanation:

Given:

RUTS is a rectangle.

To prove:

∠USR ≅ ∠SUT

                  Statements                            Reasons

1. RUTS is a rectangle                   1. Given

2. RU = ST, UT = RS                      2. By the definition of a rectangle

3. ∠STU = ∠SRU = 90°                  3. Definition of a rectangle

4. ΔURS ≅ ΔSTU                           4. By the LL theorem of congruence

5. ∠USR ≅ ∠SUT                           5. CPCTC

4 0
3 years ago
Read 2 more answers
The distance from Earth to the sun is about 9.3 × 10 7th power miles.
AURORKA [14]

<u>Answer:</u>

The distance from earth to sun is 387.5 times greater than distance from earth to moon.

<u>Solution:</u>

Given, the distance from Earth to the sun is about 9.3 \times 10^{7} \mathrm{miles}

The distance from Earth to the Moon is about 2.4 \times 10^{5} \mathrm{miles}

We have to find how many times greater is the distance from Earth to the Sun than Earth to the Moon?

For that, we just have to divide the distance between earth and sun with distance between earth to moon.

Let the factor by which distance is greater be d.

\text { Now, } \mathrm{d}=\frac{\text { distance between sun and earth }}{\text { distance between moon and earth }}=\frac{9.3 \times 10^{7}}{2.4 \times 10^{5}}=\frac{9.3}{2.4} \times 10^{7-5}\\\\=3.875 \times 10^{2}=387.5

Hence, the distance from earth to sun is 387.5 times greater than distance from earth to moon.

5 0
3 years ago
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