Answer:
See explanation
Step-by-step explanation:
4x = 12x + 32
Subtract 12x from both sides
-8x = 32
Divide each side by -8.
x = -4
Answer:
2.5477 feet
Step-by-step explanation:
Refer the image attached to understand my solution.
BC = height of lamppost.
DE = Julia
AD = shadow of Julia
BD = 2 feet. AD = 5 feet
BA = BD + AD
= 2 + 5 = 7 feet
In ΔABC
tan 20° = 
BC = 7 * tan 20°
BC = 2.5477 feet
SO the height of lamppost = 2.5477 feet
Assuming annual compounding, then:
FV=15000*(1+.035)^15
FV=15000*1.6753488307521611831782355996538
FV=$25130.23
At the end of 15 years, Tom should have $25130.23 in his account.
You add all of those numbers together and get your answer which is 60, so basically like this
25.50 + 14.25 + 18 + 2.25 = 60
Answer:
(-2 , 5)
(-1 , 0)
(1 , -4)
(3 , 0)
(4 , -5)
Step-by-step explanation:
<u>First solve the equation:</u>
x² - 2x - 3
<em><u>Find two numbers with have a sum of -2 and a product of -3.</u></em>
-3 and 1
(x - 3)(x + 1)
Solve for x:
x - 3 = 0
x = 3
x + 1 = 0
x = -1
You know that the graph will cross the x-axis at -1 and 3.
(-1 , 0)
(3 , 0)
You know that the graph is positive.
<u>Complete the square to find the vertex</u>
x² - 2x - 3
(x - 1)² = x² - 2 + 1
x² - 2x - 3 = x² - 2 + 1 - 2 = (x - 1)² - 2
1 = 0
x = 1
Substitute into the original equation:
x² - 2x - 3 =
1² - (2 * 1) - 3 =
1 - 2 - 3 =
-4
(1 , -4)
<em><u>You can input any two numbers within -10 and 10. Such as -2 and 4.</u></em>
x² - 2x - 3 =
-2² - (2 * -2) - 3 =
4- -4- 3 =
5
(-2 , 5)
x² - 2x - 3 =
4² - (2 * 4) - 3 =
16 - 8 - 3 =
-5
(4 , -5)
