Answer:
x = - 
, x = 
Step-by-step explanation:
Given
x² - x - 
= 0
Multiply through by 4 to clear the fraction
4x² - 4x - 3 = 0
Consider the factors of the product of the coefficient of the x² term and the constant term which sum to give the coefficient of the x- term
product = 4 × - 3 = - 12 and sum = - 4
The factors are + 2 and - 6
Use these factors to split the x- term
4x² + 2x - 6x - 3 = 0 ( factor the first/second and third/fourth terms )
2x(2x + 1) - 3(2x + 1) = 0 ← factor out (2x + 1) from each term
(2x + 1)(2x - 3) = 0
Equate each factor to zero and solve for x
2x + 1 = 0 ⇒ 2x = - 1 ⇒ x = -
2x - 3 = 0 ⇒ 2x = 3 ⇒ x =
The radius of a circle is always half its diameter.
Therefore the radius of a circle with a diameter of 121 inches is 1/2(121).
Hence, the correct answer is r = 1/2 (121)
The option not represented by one of the letters in PITI is (a) Title
<h3>How to determine the letter not represented?</h3>
The acronym is give as:
PITI
The meaning of the above acronym is:
- P -> Principal
- I ->Interest
- T -> Taxes
- I -> Insurance
From the list of given options, we can see that Title is not represented in the letters
Hence, the option not represented by one of the letters in PITI is (a) Title
Read more about PITI at:
brainly.com/question/1395659
#SPJ1
Answer:
It should be t = 1.5 seconds if your equation is h(t) = -16*t^2 + 8t + 24
Step-by-step explanation:
h(t) = -16*t^2 + 8t + 24
We want to solve for t when h(t) = 0.
This is a parabolic equation so basically we can use the quadratic formula to solve this.
h(t) = -16*t^2 + 8t + 24
0 = h(t) = -16*t^2 + 8t + 24
take out the 8
0 = -2t^2 + t + 3
0 = -2t*t - 2t + 3t + 3
0 = -2t * (t + 1) + 3*( t + 1)
0 = (-2t + 3) * ( t + 1)
so time cannot be negative, so we choose 0 = (-2t + 3), t = 3/2 seconds
or t = 1.5 seconds
Answer:
m∠MNQ = 158
Step-by-step explanation:
As it can be seen in the figure:
+) The measure of arc MQ = 91 degree
+) The measure of arc RP = 225 degree
As this is the circle, four points M, Q, P and R are on the circle, so that we have:
+) m∠RMP = 1/2. measure of arc RP = 1/2 x 225 = 112.5 degree
As N is on MP
=> m∠RMN = m∠RMP = 112.5
+) m∠ MRQ = 1/2 measure of arc MQ = 1/2 x 91 = 45.5 degree
As N is on RQ
=> m∠MRN = m∠MRQ = 45.5
In the triangle RMN, the total measure of 3 internal angles is equal to 180 degree, so that:
m∠MNR + m∠RMN + m∠MRN = 180
=> m∠MNR + 112.5 + 45.5 = 180
=> m∠MNR = 180 -112.5 -45.5 = 22
As N is on QR
=> m∠MNR + m∠MNQ = 180
=> m∠MNQ = 180 - m∠MNR = 180 - 22 = 158
So that m∠MNQ = 158
