Answers
Step-by-step explanation:
Since B is the midpoint of AC. So,
AB = BC
12x - 12 = 4x + 28
12x - 4x = 28 + 12
8x = 40
x = 40/8
x = 5
Now,
AB = BC = 4(5) + 28
= 20 + 28
= 48 cm
Now
AC = AB + BC
AC = 48 + 48
AC = 96 cm
Related Questions
if p(q) = q^2 + 4q − 12,then what is p(−1)?
Answers
Step-by-step:
Plug -1 into the equation in place of q.
p(-1) = (-1)^2 + 4(-1) - 12
p(-1) = (-1)^2 - 4 - 12
p(-1) = (-1)^2 -16
p(-1) = 1 - 16
p(-1) = -15
Step by step solution :
STEP
1
:
Trying to factor by splitting the middle term
1.1 Factoring q2-4q-12
The first term is, q2 its coefficient is 1 .
The middle term is, -4q its coefficient is -4 .
The last term, "the constant", is -12
Step-1 : Multiply the coefficient of the first term by the constant 1 • -12 = -12
Step-2 : Find two factors of -12 whose sum equals the coefficient of the middle term, which is -4 .
-12 + 1 = -11
-6 + 2 = -4 That's it
Step-3 : Rewrite the polynomial splitting the middle term using the two factors found in step 2 above, -6 and 2
q2 - 6q + 2q - 12
Step-4 : Add up the first 2 terms, pulling out like factors :
q • (q-6)
Add up the last 2 terms, pulling out common factors :
2 • (q-6)
Step-5 : Add up the four terms of step 4 :
(q+2) • (q-6)
Which is the desired factorization
Equation at the end of step
1
:
(q + 2) • (q - 6) = 0
STEP
2
:
Theory - Roots of a product
2.1 A product of several terms equals zero.
When a product of two or more terms equals zero, then at least one of the terms must be zero.
We shall now solve each term = 0 separately
In other words, we are going to solve as many equations as there are terms in the product
Any solution of term = 0 solves product = 0 as well.
Solving a Single Variable Equation:
2.2 Solve : q+2 = 0
Subtract 2 from both sides of the equation :
q = -2
Solving a Single Variable Equation:
2.3 Solve : q-6 = 0
Add 6 to both sides of the equation :
q = 6
Supplement : Solving Quadratic Equation Directly
Solving q2-4q-12 = 0 directly
Solve using the Quadratic Formula:
a) -7x^2 + 7x + 1 = -8
b) -6x - 1 + 5x^2 = 8x^2
Show your work.
Answers
A. - 7x² + 7x + 1 + 8 = 0
- 7x² + 7x + 9 = 0
x = - b ± √b² - 4ac / 2a
= - 7 ± √7² - 4 (-7) (9) / 2 (-7)
= - 7 ± √49 + 252 / - 14
= - 7 ± √ 301 / - 14
x = - 7 + 17.349 / - 14 x = - 7 - 17.349 / - 14
= 10.349 / - 14 = - 24.349 / - 14
= - 0.739 = - 1.739
B. 8x² - 5x² + 6x + 1 = 0
3x² + 6x + 1 = 0
x = - b ± √b² - 4ac / 2a
= - (-5) ± √-5² - 4 (3) (1) / 2 (3)
= 5 ± √25 - 12 / 6
= 5 ± √ 13 / 6
x = 5 + 3.606 /6 x = - 5 - 3.606 / 6
= 8.606/6 = - 8.606/6
= 1.434. = - 1.434
please re-check the answers hope this helps
If f(x) = x2 + x - 8, find f(-3).
Answers
Answer:
-17
Step-by-step explanation:
it's telling you to replace x with -3.
You have to replace all the x's with -3.
(-3)2 + (-3) - 8 = -17
evaluate f(x) = 5(x-4) when x=10
Answers
Answer:
Value of [tex]f(10)=30[/tex]
Step-by-step explanation:
We have
[tex]f(x) = 5(x-4)[/tex]
We need to find [tex]f(10)[/tex]
[tex]f(10) = 5(10-4)\\\\=5\cdot6\\\\=30[/tex]
While flying against the wind, the plane covered 1800 km in 2 hours and 40 minutes. On the return flight it spent 16 minutes less because the plane was moving on the direction of the wind. What was the speed of the wind and the speed of the plane?
Answers
Answer:
PLANE SPEED --
While flying against the wind - 675 km/h
While flying along with the wind - 750 km/h
WIND SPEED --
Speed of the wind - EXPLANATORY LOOK AT ABOVE DATA
Step-by-step explanation:
If you need the explanation, just comment yes :)
It's a bit long, so I'm not sure if you just wanted the answer or the whole step-by-step explanation.
What is the first step of the second step to prove that Sn arrow 1+2+3+..+n=n(n+1)/2?
Answers
Answer:
I'm pretty sure it's, "verify that Sn is valid for n=1". I think... lol.
Step-by-step explanation:
Sally is solving the linear equation 13 + 4x - 9 = 7x + 7 - 3x. Her final two steps are:
4 + 4x = 4x + 7
4 = 7
Select the statement that correctly interprets Sally's solution.
Lesson Link
1 The solution is x = 0.
2 The solution is the ordered pair (4,7).
3 There is no solution since 4 = 7 is a false statement.
4 There are infinitely many solutions since 4 = 7 is a false statement.
a
Enter the answer number!
Answers
Answer: C. there is no solution since 4=7 is a false statement
Step-by-step explanation:
Are two similar triangles necessarily congruent? Why?
Answers
if their corresponding angles are congruent and the corresponding sides are in proportion ...so it will be similar triangle
u +7 at u=9 step by step explanation plus answer i really need to know how please
Answers
u=9 so we can plug 9 into the equation.
9 + 7 = 16
please help!!! ILL GIVE U BRAINLIEST.
Answers
Answer:
f(x) is translated by 4 units left.
Step-by-step explanation:
did it help ?
well, hope it helps !
Salena is making bracelets. She has 95 inches of string. Each bracelet uses 4 inches of string.
Answers
Answer:
23 bracelets
Step-by-step explanation:
I am assuming that we need to find how many bracelets she can make.
Each bracelet uses 4 in of string, so we would have to divide 95 by 4.
95/4 = 23.75
Salena should have enough to make 23 bracelets.
Hope this helps.
The number of bracelets will be equal to 23 bracelets.
What is an expression?The mathematical expression combines numerical variables and operations denoted by addition, subtraction, multiplication, and division signs.
Mathematical symbols can be used to represent numbers (constants), variables, operations, functions, brackets, punctuation, and grouping. They can also denote the logical syntax's operation order and other properties.
Given that Salena is making bracelets. She has 95 inches of string. Each bracelet uses 4 inches of string.
The number of bracelets will be calculated as
Number = 95/4
Divide the number 95 by 4,
Number = 23.75
The required number of bracelets is 23.
To know more about an expression follow
https://brainly.com/question/24976972
#SPJ2
help pls will mark brainliest if it is correct, its not 72.
Answers
Answer:
52
Step-by-step explanation:
Answer:
52
Step-by-step explanation:
The top has 6 faces, so 6 x 2 = 12
The bottom has the same, 12
The left side has 3, 3 x 2 = 6
The front and inside has 6, x 2 = 12
The right side has 2 x 2 = 4
The back has 3 x 2 = 6
12 + 12 + 6 + 12 + 4 + 6 = 52
Can someone please help? This is difficult.
Answers
They intersect at a point called the centroid. See the attached sketch.
Write the equation for f(x)=x3
after being translated to the left
8 units and up 3 units.
Answers
Using translation concepts, the equation will be given by:
[tex]g(x) = (x + 8)^3 + 3[/tex]
The parent function is:
[tex]f(x) = x^3[/tex]
Shifting a function left 8 units means that [tex]g(x) = f(x + 8)[/tex], hence:
[tex]g(x) = f(x + 8) = (x + 8)^3[/tex]
Shifting a function up 3 units means that 3 is added to the function, that is, [tex]g(x) = f(x + 8) + 3[/tex], hence:
[tex]g(x) = f(x + 8) + 3 = (x + 8)^3 + 3[/tex]
Which is the desired equation.
You can learn more about translation concepts at https://brainly.com/question/4521517
help fast it due at 11pm
Answers
Answer:
multiplying 14/15 by 5 then dividing by 7
Find the slope of the line that passes through (-2, -44) and (-1, -70).
Answers
Let m = slope of the line.
m = delta y/delta x
m = (-70 -(-44)/(-1 -(-2)
m = (-70 + 44)/(-1 + 2)
m = -26/1
m = -26
Understand?
1. What is the next number in the pattern below?
0, 5, 11, 18, _____
can someone pls help me with this? Thank you!
Answers
0 to 5 = +5
5 to 11 = +6
11 to 18 = +7
18 to ? = +8
? = 26
the sum of two numbers x and y is 18 and their difference is 14. how is that written as an equation
Answers
Answer:
x=13
y=5
13-5=8
13+5=18
Step-by-step explanation:
Eva is working two summer jobs, making $16 per hour tutoring and $8 per hour clearing tables. Last week Eva worked 3 times as many hours clearing tables as she worked hours tutoring hours and earned a total of $80. Graphically solve a system of equations in order to determine the number of hours Eva worked tutoring last week, x,x, and the number of hours Eva worked clearing tables last week, yy.
Answers
Answer:
48 and 32 6 hours clearing tables and 2 hours tutoring
Step-by-step explanation:
we can rewrite this as a fraction. we will use 1/10s because 80 can be divided by 8 which is in the problem. we then have to find out what two numbers add up to 8 but one is 3 times the other. 6 and 2 fit into this problem so we plug it into the equation and we write it as this 6x+4x=80 where x is 8. we get 48 and 32.
Alan bought a new car. The total amount he needs to borrow is $55,498. He plans on taking
out a 5-year loan at an APR of 4.21%. What is the monthly payment?
Answers
Answer: Alan's monthly payment would be $973.53.
Answer:
Alan monthly payment is going to be $56
Step-by-step explanation:
You barrow 300$ for 5 years at an interest of 4% what is the interest you paid
Answers
Answer:
$60
Step-by-step explanation:
There's not enough information. We need to know how often the interest is compounded. I'll assume it's yearly. If not, you can apply the same method to what it actually is.
If it's compounded yearly that means it's going to be compounded 5 times so the equation becomes.
5*(300*4%)
which is:
5*(300*.04)
which becomes:
5*12
Which is:
$60
Which of the following choice completes the diagram?
A. Credit card companies
B. Issuer banks
C. Banks
D. All of the choices
Answers
Answer:
D. All if the choices , credit cars , banks and issuer banks
Write the integer from least to greatest. 4, 12, -12, -11
Answers
Answer:
-12, -11, 4, 12
Step-by-step explanation:
A negative number is less the higher it is, and a positive number is more the higher it is
solve the system of equations
y =2x -9
y = x - 4
Answers
y=x-4
x-4=2x-9
+9 each side=
x+5=2x
-x each side=
5=x
flip for the final answer of x=5
A package of Oreos typically contained 45 cookies. Recently, Nabisco reduced the number to 39 cookies in a package because of inflation! What is the percent of change?
Answers
Answer:
Percentage of change - 15.4% (simplified)
Step-by-step explanation:
15.384%
i cant decide if its b or d please help for brainlist !!!!!!!!!!!!!
Answers
This is right answer because option d only shows that y are multiples in sequence but this answer shows the correct sequence
A is correct! Our base number is 9 since it's at x = 0. The number gets smaller as x increases, so it will be 1/3 instead of 3.
Hope this helps :)
Solve for b.
r=5(b + a)
help timed
Answers
Answer:
b=(r/5)-a
Step-by-step explanation:
To solve, you do the mathematics.
r=5(b+a)
r=5b+5a
5b=r-5a
b=(r/5)-a
What is the value of (-a) to the 4th power / (-a) to the 3rd power
Answers
Step-by-step explanation:
(-a)⁴ / (-a)³ = -a
since both terms have the same exponent base (-a), we can simply do the regular exponent arithmetic (multiplication = +, division = -)
4 - 3 = 1
so, the exponent 1 remains.
it works also, if we process the exponents first
(-a)⁴ = a⁴
(-a)³ = -(a³)
a⁴/-(a³) = a/-1 = -a
Petra runs 2 miles in 22 minutes. How long would it take her to run 12 miles?
Answers
Answer:
132 minutes
Step-by-step explanation:
First find how long it would take her to run 1 mile.
We can do this by dividing 22 by 2.
22 / 2 = 11
It takes her 11 minutes to run 1 mile.
Then multiply that by 12 to find out how long it would take her to run 12 miles
12 * 11 = 132
It would take her 132 minutes to run 12 miles
Answer:
132 minutes to run 12 miles
Algebra problem is in the picture attached. PLEASE HELP!
Answers
Answer:
Step-by-step explanation: