Vertex of x^2 = (0,0)
Vertex of x^2 - 8x + 7
Find the roots by factoring
(x - 7)( x -1 )=0
x= 7, x = 1
middle: [7+1]/2 = 8/2 = 4
g(4) = 4^2 -8(4) + 7 = 16 - 32 + 7 = -9
Vertex = (4,-9)
Then the translation is right 4, down 9. This is the first option.
Answer:
m∠SQR = 74°
Step-by-step explanation:
Points P, Q and R are collinear.
Therefore, angles PQR and angle RQS are the linear pair of angles.
Since linear pair of angles are supplementary angles.
m∠PQR + m∠RQS = 180°
By substituting the measures of the given angles,
(3m + 1) + (2m + 4) = 180
5m + 5 = 180
5m = 180 - 5
5m = 175
m =
m = 35
Since, m∠SQR = (2m + 4)°
= (2×35) + 4
= 74°
Therefore, m∠SQR = 74° is the answer.
Answer:
a) (490,510)
b) (480,520)
c) (470,530)
Step-by-step explanation:
Mean, μ = 500
Standard Deviation, σ = 10
Empirical Rule:
- According to Empirical rule almost all data lies within three standard deviation of mean for a normal distribution.
- About 68% of data lies within one standard deviation of the mean.
- About 95% of data lies within two standard deviation of mean.
- About 99.7% of data lies within three standard deviation of mean.
a) 68% of the observations
About 68% of data lies within 490 and 510.
b) 95% of the observations
About 95% of data lies within 480 and 520.
c) All the observations
All of the observations lie between 470 and 530.
Hello! Since 7 is positive, starting from the origin, which is (0, 0), you're going to move 7 steps to the right. Since the second number is negative, you're going to move 3 downwards. Let me elaborate. The left side starting from the origin, is negative numbers. The right side, is obviously positive. Downwards is negative, and upwards is positive. The first number out of the two, is the first step you'll make. So since 7 is positive, starting from the origin, you'll move to the right 7 times. The second number either go's up or down depending on whether it's positive or not. Since the second number you provided me is negative, you'll move downwards 3 times after you moved 7 times right.
Answer:
x = (3t - 4y) / m.
Step-by-step explanation:
mx + 4y = 3t Subtract 4y from both sides:
mx = 3t - 4y Divide both sides by m:
x = (3t - 4y) / m.