Please help me. Thank you
Answer:
AE - 3, EB - 2, EC - 5
Step-by-step explanation:
Use the Pythagorean theorem and you'll find that these are the answers.
I'll answer problem 19
=======================================================
Part (a)
The tickmarks on segments DE and DC indicate they are the same length. We're also told that |DC| = |DE| = 5.
So DE is also 5 cm long. Triangle DAE is a right triangle with the 90 degree angle at angle A. Let x be the length of segment AE.
We'll use the pythagorean theorem to find x
a^2 + b^2 = c^2
(AE)^2 + (AD)^2 = (DE)^2
x^2 + 4^2 = 5^2
x^2 + 16 = 25
x^2 = 25-16
x^2 = 9
x = sqrt(9)
x = 3
Segment AE is 3 cm long
=======================================================
Part (b)
For any rectangle, the opposite sides are parallel and the same length. This means AB = DC = 5 cm.
We found earlier that AE = 3 cm, so,
AE+EB = AB
3+EB = 5
EB = 5-3
EB = 2
Segment EB is 2 cm long
=======================================================
Part (c)
We know that AD = BC = 4 cm, because the opposite sides are the same length.
Earlier in part (b), we found that segment EB was 2 cm long.
Triangle EBC is a right triangle with legs EB = 2 and BC = 4. Let's apply the pythagorean theorem to find EC. Let y = EC.
a^2 + b^2 = c^2
(EB)^2 + (BC)^2 = (EC)^2
2^2 + 4^2 = y^2
4 + 16 = y^2
20 = y^2
y^2 = 20
y = sqrt(20)
y = sqrt(4*5)
y = sqrt(4)*sqrt(5)
y = 2*sqrt(5)
y = 4.4721359
As an exact value, EC is sqrt(20) or 2*sqrt(5) cm long.
As an approximate value, EC is roughly 4.4721359 cm long.
I would ask your teacher if you should use the exact or approximate value.
math su.cks......................................................................................................................................................................................................................... on suc.kers! i like bad jokes.
Answer:
Step-by-step explanation:
Ok
Answer:
what
Step-by-step explanation:
:(
HELP ASAP GIVING BRAINLIEST
Answer:
5: c, 3: a
Step-by-step explanation:
Really confused, can someone help me?
First Answer:
x = 12
First Step-by-step explanation:
12 + x = -3(4 - x)
12 + x = -12 + 3x
- x - x
—————————
12 = -12 + 2x
+ 12 + 12
—————————
24 = 2x
24/2 = 2x/2
12 = x
Second Answer:
No solution
Second Step-by-step explanation:
2(x - 1/2) = 8 + 2x
2x - 1 = 8 + 2x
+1 +1
—————————
2x = 9 + 2x
- 2x - 2x
—————————
0 = 9
^^ No solution
The equation of line L is 2x+y=3
Line M is parallel to line L and passes through
(1,−6)
Work out the equation of line M.
Give your answer in the form
y=ax+b
(3 marks)
Answer:
y = -2x - 4
Step-by-step explanation:
We transform the line equation of L:
2x + y = 3 --(-2x)--> f(x) = y = -2x + 3
We now know that L intersects the y-axis at 3 and it has a slope of -2.
In order to construct a parallel line M, it needs to have an identical slope to L.
All we need to do now is to move one step from the given point (1,-6) towards 0 with the predetermined slope of -2, resulting in the point (0,-4).
Since we know slope and intersection with the y-axis (0,-4), we can construct the line equation:
f(x) = y = -2x - 4 for line M.
Question Help
3.3 PS-14
A salesperson at a jewelry store earns 4% commission each week. Last week, Jarrod sold $750
worth of jewelry. How much did he make in commission? How much did the jewelry store make
from his sales?
HELPPPPP
Question 15(Multiple Choice Worth 4 points)
(05.06 LC)
Given the scatter plot, choose the function that best fits the data.
scatter plot with data points that form an upward curve staring at the origin and continuing to the right
f(x) = 4x
f(x) = −4x
f(x) = 4x2
f(x) = 4x
Answer:
f(x) = 4x²
Step-by-step explanation:
This function curves while the others don't.
Hope it's correct and helps!
The function that best fits the data is [tex]y=4^x[/tex]
What is function?"It defines a relation between input and output values.""In function, for each input there is exactly one output."What is exponential function?"The function of the form [tex]y=ab^x[/tex] where a, b are real numbers and a ≠ 0 "
For given question,
The scatter plot with data points that form an upward curve staring at the origin and continuing to the right.
The graph represents an exponential function.
At (0, 1),
[tex]\Rightarrow 1=ab^0\\\Rightarrow a=1[/tex]
At (1, 4) we have,
[tex]\Rightarrow 4 = ab^1\\\Rightarrow 4=(1)b\\\Rightarrow b=4[/tex]
So, we have exponential function of the form [tex]y=4^x[/tex]
Hence, the function that best fits the data is [tex]y=4^x[/tex]
Learn more about exponential function here:
https://brainly.com/question/11464095
#SPJ3
Beyonce is solving a system of equations: 2x – 3y = -2
4x + y = 24
She decides to use the elimination method to find the solution. She multiplies the second equation by 3 and adds it to the first equation to find 14x = 70, showing her that x = 5. Beyonce finds that y = 4.
Step 3: 4x + y = 24
4(5) + y = 24
20 + y = 24
-20 -20
y = 4
Step 1: 3(4x + y = 24) → 12x + 3y = 72
Step 2: 2x – 3y = -2
Solution: (5, 4)
+ 12x + 3y = 72
14x = 70
→ x = 5
Thinking about this process, Beyonce says out loud, “There are lots of ways I could go about solving this problem. I could do the method above or I could multiply the first equation by -2 and add the second.
Step 3: 4x + y = 24
4x + 4 = 24
-4 -4
4x = 20
x = 5
Step 1: -2(2x – 3y = -2) → -4x + 6y = 4
Solution: (5, 4)
Step 2: -4x + 6y = 4
+ 4x + y = 24
7y= 28
→ y = 4
“I seem to find that there is only one solution to the two equations, but I wonder if I will get the same solution if I use a different method?”
Explain how you know that a system of equations has no solution.
Answer:
Step-by-step explanation:
A system of equations has no solutions if you end up with a contradiction. For example, the system of two equations
y = 2x + 4
y = 2x
If you subtract the second equation from the first, you get
0 = 4
an obvious contradiction. If you were to graph the equations, you would see that the lines are parallel. They never intersect, so there is no point that satisfies both equations.
Kaylin buys a greeting card for $3.79. She then buys 4 postcards that all cost the same amount. The total cost is $5.11. How much is each postcard?
Answer:
$0.33
Step-by-step explanation:
5.11-3.79=1.32 1.32/4
Hope this helps :)
Answer:
each postcard cost .33 or 33 cent
Step-by-step explanation:
5.11(total cost)-3.79(greeting card)= 1.32
1.32(cost of all postcards)/4= .33
write an expression equivalent to 2(2x + 2y).
Answer:
4x+4y
Step-by-step explanation:
You can write an equivalent expression by simply simplifying the expression. In order to simplify this expression, distribute the numbers.
You'll get:
(2*2x)+(2*2y) = 4x + 4y
4x + 4y is an equivalent expression.
Choose all the fractions that are in simplest form. 4/26 8/21 6/19 9/10 10/22
Answer:
8/12, 6/19 and 9/10!
Step-by-step explanation:
All of them cannot be simplified.
but the rest can like
4/26 can be simplified by 2
and 10.22 can be simplified by 2
Lines x and y are parallel lines cut by a transversal. If m 24 = 82°, which of the
following is true?
+
21 22
24 / 23
X
Y
25 26
28/ 27
A) m_8 = 82
B) m 25 = 82°
Find the values of x and y
Can someone help?
Answer:
y=70
x=55
Step-by-step explanation:
In an equilateral triangle, all the angles measure 60 degrees. Knowing this, we can set the following equations:
[tex]60=y-10\\60=x+5[/tex]
[tex]60=y-10[/tex]
Add 10 to both sides
[tex]60+10=y-10+10\\70=y[/tex]
[tex]60=x+5[/tex]
Subtract both sides by 5
[tex]60-5=x+5-5\\55=x[/tex]
I hope this helps!
Answer:
x is 55° & y is 70°.
Step-by-step explanation:
This is an equilateral triangle.
In an equilateral triangle all sides are 60°
So,
1) x+5 = 60
x = 55°.
2) y-10 = 60
y = 70°.
Answer: x is 55° & y is 70°.
x^2 + 9x + 14 I need help !
Answer:
x² + 9x + 14 can be factored as (x+2)(x+7)
Step-by-step explanation:
The general form is ax² + bx + c. If a=1, then you can start looking for two numbers that multiplied give c and added give b.
14 = 2*7
and
9 = 2+7
hence the easy factorization
(x+2)(x+7)
Keep in mind that it only works if a=1.
Answer:
( + 2 ) (x+7 )
Step-by-step explanation:
Use the sum-product pattern 2 + 9 + 1 4 2 + 7 + 2 + 1 4 2
Common factor from the two pairs 2 + 7 + 2 + 1 4 ( + 7 ) + 2 ( + 7 ) 3
Rewrite in factored form ( + 7 ) + 2 ( + 7 ) ( + 2 ) ( + 7 )
Can’t figure out M<7/12
The options are
A.1
B.-1
C.-9
D.-5
M < 7 / 12
(1) < 7 / 12
(1) < 0.583333333 (false statement)
(-1) < 7 / 12
(-1) < 0.583333333 (true statement)
(-9) < 7 / 12
(-9) < 0.583333333 (true statement)
(-5) < 7 / 12
(-5) < 0.583333333 (true statement)
B C D maybe?
The perpendicular bisectors of triangle RST intersect at K. Find KR
Answer:
Step-by-step explanation:
Remark
The diagram is a mess of lines; you have to guess where that 12 belongs. Just to make the question a bit more interesting, I'm going to say the 12 belongs to the perpendicular.
If that's true you can find KT using Pythagorus. KT and RT are equal. (SSS)
So, let's go.
Givens
1/2 of ST = 1/2 32 = 16
12 is the leg of the small triangle KT and the third point where the perpenduclar line meets ST.
Solution
KT^2 = 16^2 + 12^2
KT^2 = 256 + 144
KT^2 = 400
KT = sqrt(400)
KT = 20
RK = KT because parts of a congruent triangle = parts of the other triangle containing the line (KT) that you are trying to find the length of.
-8(y + 5) = -8y - 40 TRUE or FALSE
Answer: true because that’s what you get when you use the distributive property
Step-by-step explanation:
4(6-5x)^2+11=20
quadratic equations
Answer:
(x-114.5), (x-14.05)
Step-by-step explanation:
Answer attached
Christopher is going to use a computer at an internet cafe. The cafe charges
$0.20 for every minute using a computer on top of an initial charge of $7.
Make a table of values and then write an equation for C, in terms oft,
representing the total cost of using a computer for t minutes at the internet
cafe.
Answer:
0 7
1 7.20
2 7.40
3 7.60
Step-by-step explanation:
The function f(x) = {}]" is reflected across the y-axis to create the function g(x). Which ordered pair is on g(x)?
0 (-3.375)
o(-22
O (3)
10 (2-23
Answer:
I think your problem didn't copy correctly because you didn't provide a function. if you could provide it to me I would be glad to help and give you the answer.
I also do exams and quizzes if your interested
I NEED HELP ASAP!!!!!
Solve the equation and show your work.
Here's the problem: 4x + 3x - 3(4x - 8) = 14
Step 1.) Eliminate parentheses by distributing the -3.
Step 2.) Collect any like terms on the left side of the equation.
Step 3.) Subtract 24 from both sides of the equation.
Step 4.) Divide both sides of the equation by -5.
Answer:
Step-by-step explanation:
x=2
LeBron bought a 8-pack of Powerade for $7.68. What is the unit rate for one bottle of Powerade?
anybody please help me
Answer:
E
Step-by-step explanation:
you would find the area of both squares, then add them together.
Me Help ASAP or when everrr
Answer:
Base = 3√5
Step-by-step explanation:
Given:
Hypotenuse = 9
Perpendicular = 6
Find:
Base(x)
Computation:
Using Pythagorean theorem
Base = √Hypotenuse² - Perpendicular²
Base = √9² - 6²
Base = √81 - 36
Base = √45
Base = 3√5
20. Mr. Reed bought tickets for 7 teachers
to attend a concert. He paid a total of
$245 for the tickets. If each ticket
cost the same amount, how much
did Mr. Reed pay for each ticket?
A $24.50
B $25.00
C $32.00
D $35.00
Find the slope of the line through each pair of points.
Type your answer as a fraction.
(-1, -11), (16, -8)
Answer:
m = 3/17
Step-by-step explanation:
M = -1y/-11c + 16y/-8x = 3/17
Can someone plz help me the info is in the photo I'm begging you and I need the equation to show my work.
Answer:
$65.02
Step-by-step explanation:
15% of 85 = 12.75
sale price = 85-12.75 = 72.25
10% of 72.25 = 7.225 = 7.23
final cost = 72.25 - 7.23 = 65.02
A store manager wants to determine how much to pay her employees. The number of hours the employees work is x, and the hourly wage that they are paid is y. The store manager is willing to pay the employees a wage given by the equation 10y-30x=20 . The business owner states that the employees should be paid a wage given by the equation 6y+30x=60. If the two equations were added then simplified to determine hourly wage, y, how much would the employees be paid?
Answer:
The employees will work for 1 hour, will earn $5 per hour and will be paid $5
Step-by-step explanation:
System of Equations
The number of hours the employees work is x.
And the hourly wage that they are paid is y. The store manager is willing to pay the employees a wage given by the equation
10y-30x=20
The business owner states that the employees should be paid a wage given by the equation
6y+30x=60
Adding both equations we have:
16y = 80
Dividing by 16:
y = 80/16 = 5
Substituting into the first equation:
10*5-30x=20
Operating and simplifying:
50-30x=20
50 - 20 = 30x
30x = 30
x = 30/30 = 1
Thus, the employees will work for 1 hour, will earn $5 per hour and will be paid $5
What is the base of the expression 11 and 12 square? 3 11 12 21
Answer:
your answer is 11
Step-by-step explanation:
An exponential has the base at the bottom
can someone help me?
Answer:
No
Step-by-step explanation:
It appears the only way to talk to you is by answering your questions...so whatever.
Fan activity though? Really? Worst excuse ever. Ew.