Answer:
The answer is below
Step-by-step explanation:
We are asked to find the perimeter of triangle CDE. The perimeter of a shape is simply the sum of all its sides, hence:
Perimeter of tiangle CDE = |CD| + |DE| + |CE|
Given that C(4, -1), D(4, -5), E(2, -3).
The distance between two points [tex]X(x_1,y_1)\ and\ Y(x_2,y_2)[/tex] is given as:
[tex]|XY|=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]
Therefore the lengths of the triangle are:
[tex]|CD|=\sqrt{(4-4)^2+(-5-(-1))^2} =4\ units\\\\|DE|=\sqrt{(2-4)^2+(-3-(-5))^2} =2.83\ units\\\\|CE|=\sqrt{(2-4)^2+(-3-(-1))^2} =2.83\ units[/tex]
Perimeter of CDE = 4 + 2.83 + 2.83 = 9.66 units
#2: Tell whether the function below is linear or exponential.
y = 4 • 2^x
Answers
O Linear
O Exponential
Answer:
Exponential
Step-by-step explanation:
For this question you need to understand what is a linear function and what is an exponential function.
Linear function is a function where any variable x,y,z has the power of maximum 1 for example
x+y=1
7x+2y=10
1000x+9999y=40000
The numbers look too big but its the same category as linear function because all the variable in the equation are to the power of 1
Whereas, An exponential function is a mathematical function of the following form: [tex]y=a^x[/tex] where x is a variable, and a is a constant called the base of the function. Most commonly exponential functions are involved with mathematical symbol [tex]e[/tex].
So in your question [tex]y=4.2^x[/tex] where x the variable has become the power/degree the fucntion is an exponential function.
Solve the equation. Identify any extraneous solutions.
h = sqrt 3h
-3 is a solution of the original equation. 0 is an extraneous solution.
0 and 3 are solutions of the original equation.
3 is a solution of the original equation. 0 is an extraneous solution.
0 is a solution of the original equation. 3 is an extraneous solution.
Answer:
It's the second option:
0 and 3 are both solutions.
Step-by-step explanation:
h = √(3h) Square both sides:
h^2 = 3h
h^2 - 3h = 0
h(h - 3) = 0
h = 0, 3.
If we plug h = 0 into the original equation:
0 = √(3*0) = 0 so this is a root.
x = 3:
3 = √(3*3) = 3 so this is also a root.
Answer:0 and 3 are solutions of the original equation.
Step-by-step explanation:
determine whether the given expressions are perfect square trinomials. Write "P" if it is a perfect square trinomial and "N" if not. Write your answer on your answer sheet.
1.) a^2 - 22a + 121
2.) b^2 - 8b + 16
3.) 4d^2 + 20d - 25
4.) 100 + 50e + e^2
5.) 36r^2 - 60rt + 25t^2
thank you in Advance
PLEASE HELP QUICK!!!!!
Answer:
C.
That is the closest answer since 8 times 10 6 times gets you 8 million.
Step-by-step explanation:
Answer:
C. 8×10⁶
Step-by-step explanation:
8,406,000 to nearest million is 8,000,000
8,406,000 = 8.406 × 10⁶
8,000,000 = 8 × 10⁶
What is the slope of this graph?
4
−14
−4
14
Answer:
-4
Step-by-step explanation:
i took the quiz on k12 :)
Given the point (1, 2) and a slope of 4, write the equation in point slope form.
Answer:
y - 2 = 4(x - 1)
Step-by-step explanation:
Use point slope form, y - y1 = m(x - x1), where m is the slope:
Plug in the slope and the given point:
y - y1 = m(x - x1)
y - 2 = 4(x - 1)
So, the equation in point slope form is y - 2 = 4(x - 1)
7) Write an equation in point-slope form of the line
through point J(-2,10) with slope - 2
Answer:
y=-2x+6
Step-by-step explanation:
y=mx+b
10=(-2)(-2)+b
10=4+b
10-4=b
6=b
Can someone help me it would be appreciated
Answer:
X^6 is the GCF
Step-by-step explanation:
Because what x^6 is will be more than x^4
can someone please help :) i suck at math.
Answer:
c) -11 1/2
Step-by-step explanation:
basically, you work backwards using the inverse operation.
start with -7, subtract 5.25 and you get -12.25, then add .75 (3/4) and you get -11.5 or -11 1/2
When a figure is increased to make a larger image, are the two figures congruent?
Answer:
No because Congruent means the same, but since it's a different size than the original then they aren't the same.
Step-by-step explanation:
There are two other ways to write this fraction.
−15/29
List them in the space below.
Answer:
-30/58 & -45/87
Step-by-step explanation:
The first answer is just multiplying the original by 2.
The second one is being multiplied by 3.
The multiplicated moves DO NOT CHANGE THE VALUE OF THE ORIGINAL FRACTION, meaning that they are equivalent. :))
(−45)(158)(73)(−1)
QUICK
Answer:
If you are multiplying (-45)(158)(73)(-1) your answer is 519,030.
Step-by-step explanation:
If you are buying at item at a store for a price of $41, and there is a 5.3% tax added on top, what would be the total amount due at the register, to the nearest cent?
Answer:
$53.92
Step-by-step explanation:
x/100=5.3/41
Cross Multiply
41x=530
41x/41=530/41
x=12.92
41+12.92=53.92
Answer: $43.17
Step-by-step explanation:
%53 = 0.053
Percent formula:
a ( 1 + r )
41 (1 + 0.053)
41 (1.053)
43.173
round
what is the simplest form of 8y-4x=-56 ?
About the only thing you can do with it is divide both sides by 4.
Then you have
2y - x = -14
Two less than seven times a number c is written as
That's your answer .
Write the equation of the line in slope-intercept from (y=Mx+b) given:
999÷128= plz help mee
Answer:
The answer is (7.8046875)
Step-by-step explanation:
Hope this helped
A fish was swimming LaTeX: 2\frac{1}{2}2 1 2 feet below the water's surface at 1:00 p.M. Three hours later, the fish was at a depth that is LaTeX: 3\frac{1}{4}3 1 4feet below where it was at 1: 00 p.M. What rational number represents the position of the fish with respect to the water's surface at 4:00 p.M.?
Answer:
[tex]\frac{23}{4}[/tex] feet
Step-by-step explanation:
The depth of the fish to the surface of water at 1:00 pm = 2 [tex]\frac{1}{2}[/tex] feet
= [tex]\frac{5}{2}[/tex] feet
The depth of the fish to its initial position at 4:00 pm = 3 [tex]\frac{1}{4}[/tex] feet
= [tex]\frac{13}{4}[/tex] feet
The position of the fish with respect to the water's surface at 4:00 pm = the depth of the fish to the surface of water at 1:00 pm + the depth of the fish to its initial position at 4:00 pm
= [tex]\frac{5}{2}[/tex] + [tex]\frac{13}{4}[/tex]
= [tex]\frac{10 + 13}{4}[/tex]
= [tex]\frac{23}{4}[/tex]
The position of the fish with respect to the water's surface at 4:00 pm is [tex]\frac{23}{4}[/tex] feet.
The mean survivial time after diagnosis for a certain disease is 15 years with a standard deviation of 5 years. Based on a particular treatment, an individual's predicted survival time is 2.8 standard deviations beyond the mean. How much longer, after diagnosis, is the patient expected to survive?
Answer:
The time the patient expected to survive after diagnosis is 29 years.
Step-by-step explanation:
It is provided that the mean survival time after diagnosis for a certain disease is 15 years with a standard deviation of 5 years.
That is,
[tex]\mu=15\\\sigma=5[/tex]
An individual's predicted survival time is a = 2.8 standard deviations beyond the mean.
Compute the time the patient expected to survive after diagnosis as follows:
[tex]X=\mu+a\sigma[/tex]
[tex]=15+(2.8\times 5)\\\\=15+14\\\\=29[/tex]
Thus, the time the patient expected to survive after diagnosis is 29 years.
solve the question
Answer:
the answer is 402 the 2 lines just make the answer an even number and if its already even nothing happens
Step-by-step explanation:
Answer:
402
Step-by-step explanation:
because if it was negative in those lines, it would turn into a positive but since it is already positive, it stays that way. (if a negative is in there, change to positive/if positive in there, it stays the same)
An active horse can eat up to 9 pounds of food for every 300 pounds of body weight each day. At this rate, how much does an active horse weight if he eats 36 pounds of food every day pls helpp pls
Answer:
I believe its 1,200 pounds.
Step-by-step explanation:
9 × 4 = 36 so youd multiply 300 by 4 as well. I'm not sure but I think this is correct.
Anand needs to hire a plumber. He's considering a plumber that charges an initial fee of \$65$65dollar sign, 65 along with an hourly rate of \$28$28dollar sign, 28. The plumber only charges for a whole number of hours. Anand would like to spend no more than \$250$250dollar sign, 250, and he wonders how many hours of work he can afford. Let HHH represent the whole number of hours that the plumber works.
Answer:
Anand can afford is 6hoursStep-by-step explanation:
Let H represent the whole number of hours that the plumber works.
given that the fixed cost is $65
and the hourly cost is $28
also given that Anand has a total of $250 with him
the total cost can be expressed in terms of the number of hours H as
250=65+28H
we can now solve for H
250-65=28H
185=28H
divide both sides by 28
H=185/28
H=6.60714285714
"The plumber only charges for a whole number of hours."
So the number of hours Anand can afford is 6hours
Answer:
Anand can afford is 6hours
Step-by-step explanation:
Let H represent the whole number of hours that the plumber works.
given that the fixed cost is $65
and the hourly cost is $28
also given that Anand has a total of $250 with him
the total cost can be expressed in terms of the number of hours H as
250=65+28H
we can now solve for H
250-65=28H
185=28H
divide both sides by 28
H=185/28
H=6.60714285714
"The plumber only charges for a whole number of hours."
So the number of hours Anand can afford is 6hours
Solve for n
(40-2n)divided by 4=8?
Answer:
n = 4
Step-by-step explanation:
(40 - 2n) ÷ 4 = 8
10 - 0.5n = 8
-0.5n = 8 - 10
-0.5n = -2
n = 4
If you find my answer helpful
Pls consider marking my answer as Brainliest! It would mean a lot!
Answer:
the correct answer is n=4
Factor the following trinomial completely. Look first for the greatest common factor.
6r^2+14r−12
Answer:
[tex]2(3r-2)(r+3)[/tex]
Step-by-step explanation:
Factor [tex]6r^2+14r-12[/tex]
[tex]6r2+14r-12[/tex]
[tex]=2(3r-2)(r+3)[/tex]
Answer:
[tex]2(3r-2)(r+3)[/tex]
Step-by-step explanation:
[tex]6r^2+14r-12[/tex]
Start by factoring out the greatest common factor, [tex]2[/tex]:
[tex]2(3r^2+7r-6)[/tex]
Factor out the trinomial in the parentheses using the "Reverse FOIL" method (Write 2 parentheses and factor out the trinomial into them):
[tex]2(3r-2)(r+3)[/tex]
_
To check:
(Multiply First, Outside, Inner, Last):
[tex]2(3r^2+9r-2r-6)[/tex]
Combine like terms:
[tex]2(3r^2+7r-6)[/tex]
Distribute the [tex]2[/tex]:
[tex]6r^2+14r-12[/tex]
Frwinds? XD
Question uh....
65x9
UwU
Answer:
585
Step-by-step explanation:
65 times 9= 585
60 times 9=540
5 times 9=45
540 plus 45= 585
~~~Hope this helps ~~~ :)
Answer:
yws can we be frwinds? `(*>﹏<*)′
Step-by-step explanation:
65x9 = 585
ε=ε=ε=┏(゜ロ゜)┛
Write an equation for the line that contains the points (-6,5) and (-12,-13).
Answer:
Step-by-step explanation:
you make y2-y1 over x2-x1 with the points so -13-5 over -12- -6 and that equals -18 over -6 simplified to 3
a swimmer swam the 50 meter freestyle in a time of 21 seconds what was his speed to the nearest tenth of a meter per second PLEASE HELP
Answer:
2.4
Step-by-step explanation:
50/21=2.380.....
2.38
2.4
Answer:
50/21 or 2 8/21 meters per second
Step-by-step explanation:
Well speed is the distance divided by the time, so, 50 is the distance and 21 is the time, so, you divide 50 by 21 to get the answer
Pls halp,due today thank uu
There are 6 boys for every 7 girls on a playground. How many boys and girls could be playing on the playground?
estimate 29.14 divided by 3.2071
Answer:
9.05 is my estimate
Step-by-step explanation:
The actual answer should be 9.08 etc....cause its a repeating decimal.