Answer:
Step-by-step explanation:
y = 7x + 10
slope-intercept form of a linear equation
Which of the following is a right triangle based on the given figure?
Answer:
BDE
Step-by-step explanation:
Drag the tiles to the correct boxes to complete the pairs, In the figure, lines H and KL are parallel. TH K E G D Match each angle relationship with the appropriate reason. Vertical angles theorem Alternate exterior angles theorem linear pair Alternate interior angles theorem Corresponding angles theorem same-side interior angles m_HED = m_FE) mKFE = m_FEJ MZLFG = MADEH
The angle relationship and their reasons are:
m∠HED = m∠FEJ ---> Vertical angles theoremm∠KFE = m∠DEH ---> Alternate interior angles theoremm∠LFG = m∠DEH ---> Alternate exterior angles theoremm∠JEF + m∠LFE = 180° ---> same-side interior angles theoremm∠DEJ = m∠EFL ---> Corresponding interior angles theoremm∠LFG + m∠GFK = 180 ---> linear pairThe angle pairs are formed based on their relative positions. The following shows each angle relationship and their reasons:
∠HED and ∠FEJ are directly vertically opposite each other, therefore, they are equal based on the vertical angles theorem.
m∠HED = m∠FEJ ---> Vertical angles theorem∠KFE and ∠FEJ are alternate interior angles, therefore, they are equal based on the alternate interior angles theorem.
m∠KFE = m∠DEH ---> Alternate interior angles theorem∠LFG and ∠FEJ are alternate exterior angles, therefore, they are equal based on the alternate exterior angles theorem.
m∠LFG = m∠DEH ---> Alternate exterior angles theorem∠JEF and ∠LFE are interior angles on same side of the transversal, therefore, the sum of both angles equal 180 degrees based on the same-side interior angles theorem.
m∠JEF + m∠LFE = 180° ---> same-side interior angles theorem∠DEJ and ∠EFL are corresponding angles, therefore, they are equal based on the corresponding angles theorem.
m∠DEJ = m∠EFL ---> Corresponding interior angles theorem∠LFG and ∠GFK are angles on a straight line, therefore the sum of both angles will equal 180 degrees because they are a linear pair.
m∠LFG + m∠GFK = 180 ---> linear pairLearn more about angle relationship on:
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The sum of n terms of the AP √3, √8, √18, √32,.... is
S = √2+√8+√18+√32+……………… n terms.
or, S = √2 + 2√2 +3√2 +4√2.+………………….+ n terms.
This is an A.P. in which a = √2. , d = √2.
Sn = n/2.[2.a +(n-1).d].
or, Sn = n/2.[ 2√2 +(n-1).√2].
or, Sn = (n/2).√2.[ 2 +n-1].
or, Sn = n.(n+1)/√2. Answer.
Given AP :√2,√8,√18,√32,...
First term = √2
Common difference = √8-√2
⇛ √(2×2×2)-√2
⇛ 2√2-√2
⇛√2
We know that
Sum of first n terms of an AP
⇛ Sn = (n/2)[2a+(n-1)d]
⇛ Sn = (n/2)[2√2+(n-1)(√2)]
⇛ Sn = (n/2)[2√2+√2 n -√2]
⇛ Sn = (n/2)[√2 n +√2)
⇛ Sn = (n/2)×(√2)(n+1)
⇛Sn = (n/√2)(n+1)
⇛ Sn = n(n+1)/√2
Additional comment:
nth term of an AP = a+(n-1)d
Sum of first n terms of an AP
Sn = (n/2)[2a+(n-1)d]
Sum of the first n terms = Sn =
(n/2)(a+an)
If a,b,c are the three consecutive terms in an AP then b = (a+c)/2
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The sum of the 8th & 4th of an Ap is 24 and sum of and sum of 6th & 10th term is 44 Find the Ap
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Pls help I’ll brainlest I need a good grade
How much power does it take to lift a 40N object. 8 meters high in 3 seconds. Show work 8)
Answer:
Step-by-step explanation:
power = work / time
work = force x distance
force = newtons
w = fd
w = 40N(8m)
w = 320J
p = w/t
p = 320J/3s
__
p = 106.66
(sixes repeat)
4/k =8/3 what is k?
Answer:
1.5
Step-by-step explanation:
4 x 2 = 8, so k x 2 = 3
3 / 2 = 1.5
The perimeter of a rectangle is 2020 units.
The length of the rectangle is the distance from (-2,6)(−2,6) to (5,6)(5,6).
What is the width, in units, of the rectangle?
Answer:
8.4
Step-by-step explanation:
edge
What is g(x)?
10-
у
5
X
+
10
d
A
-5
-10
A. g(x) = -1x1
B. g(x) = -x
C. g(x) = -x2
D. g(x) = -2X
C
Step-by-step explanation:
This has a U like shape so it a parabola.
Parabola correlate with quadratic functions
[tex]y = {ax}^{2} + bx + c[/tex]
Since it Going down, the answer is C -x^2.
The function whose graph is given is g(x) = -x²
What is a function?A function is a relation from a set of inputs to a set of possible outputs where each input is related to exactly one output.
Given that a graph, we need to find its function,
Since, the graph is a curve opened downwards, so it is a parabola, opened downwards,
The equation of the parabola is given by y = ax²+bx+c
Therefore, out of the given options we can say that the function is y = x²
Hence the function whose graph is given is g(x) = -x²
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A small tree was planted at a height of 8 feet. The tree has been planted for 15 months, and is now 50 feet tall. Which equation could be used to find x, the average number of feet the tree grew each month?
Answer:
y=42/15x+8
Step-by-step explanation:
We can get the change in height with 50-8, or 42. Now we divide, so 42/15. I'm assuming this is a slope question, so it would be y=42/15x + 8. Let me know if this is the way you want the answer.
Answer:
x=8+(number of feet/number of months)
Step-by-step explanation:
Pls help!!!!!!!!!!!!!!!!!!!!!
Answer:
See below:
Step-by-step explanation:
First fill in:
180* . Every triangle has interior measurments of 180* total
Second fill in: Reason is definition of sum of triangle's interior angles
Third fill in: 2x. Everything in this equation is asking for the angles. First angle is 28, second angle is 2x, and third angle is x-4.
Fourth fill in: x=52
I found this by doing the following:
First, 180-28, so we can see how many degree we are left with.
152.
Now, make an equation:
152=2x+x-4
Simplify
152=3x-4
Add 4 to both sides to cancel out the -4.
156=3x
divide 156/3=52.
Now we know that x=52.
Although the question doesn't ask for this, you would now substitue 52 back into each of the equations to find that degree. For example, 2x=2(52), or 104*.
Answer:
See image
Step-by-step explanation:
All the angles of a triangle add up to 180°
The given diagram shows all the measures: 28°, x - 4° , and 2x
So add them up, set equal to 180 and solve for x. Combine like terms and subtract 24 from both sides of the equation. Divide both sides by 3. x = 52
a torist walks 10.5 inches in 3 seconds. how far does it walk per second
Divide distance by time:
10.5 inches / 3 seconds = 3.5 inches per second
Answer: 3.5 inches per second
Answer: 31.5
Step-by-step explanation: you multiply the inches by the second.
Find the volume in cubic feet of a rectangular moving van with length 14 feet, width 7 feet, and height 7 feet
Answer:
length (l) = 14 feet
breadth (b) = 7 feet
height (h) = 7 feet
so, volume of the
rectangular moving
van = l*b*h
=14feet * 7feet *7feet
= 686 cubic feet
What is the gradient of the graph shown?
Give your answer in its simplest form.
Answer:
m = —1/3
Step-by-step explanation:
There are two clear points shown on the graph
point 1: (0;3)
point 2: (6;1)
[tex]m = \frac{y2 - y1}{x2 - x1} [/tex]
[tex]m = \frac{1 - 3}{6 - 0} [/tex]
[tex]m = - \frac{2}{6} [/tex]
[tex]m = - \frac{1}{3} [/tex]
A scale drawing for a backyard is shown below.
In the drawing, 1 cm represents 4 m.
Assuming the patio is rectangular, find the area of the real patio.
-6 cm
-3 cm-
Patio
2 cm
Lawn
2 cm
Answer:
The area of real patio is 50m².
Step-by-step explanation:
Given,
Length of patio = 3 cm
Width of patio = 6 cm
According to scale =
3 cm = 5m
1 cm = \frac{5}{3}\ m35 m
6 cm = \frac{5}{3}*6 = 10\ m35∗6=10 m
Real length of patio = 5 m
Real width of patio = 10 m
Area = Length*width
\begin{gathered}Area=5*10\\Area=50\ m^2\end{gathered}
Area=5∗10Area=50 m2
The area of real patio is 50m².
What is logistic growth? Why would it be good if human population growth followed a logistic growth pattern in the future?
The population of earth growing in logistic pattern will be helpful because it will help the human population to grow gradually to approach the carrying capacity of earth and without making any burden on it.
What is logistic growth?In logistic growth the population at first increases at slow rate and then at high then it stops when resources start depleting.
When population on earth will follow the logistic growth pattern, the people leaving can have enough resources to use, and it will in a way can a make a better community without war or disturbance.
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The coordinates of a square are (3,2), (8,2), (8,7), and (?,?)
Answer:
i don't know can u solve plz
Answer:
(3, 8)
Step-by-step explanation:
For this, draw a graph and locate the points. Then you can determine where the missing point should be to draw a square. Check out the graph I sent to understand what I'm talking about.
What is the equation for the line in slope-intercept form?
Enter your answer in the box.
Answer:1+1
Step-by-step explanation:
1+1=2
\displaystyle\lim_{ x \rightarrow 0 } \left( \dfrac{ \sqrt[ m ]{ 1+αx \phantom{\tiny{!}}} \times \sqrt[ n ]{ 1+βx \phantom{\tiny{!}}} -1 }{ x } \right)
Answer:
What are you trying to ask.
Step-by-step explanation:
Please Write in a understandable manner.
Thanks from India.
Write an equation involving absolute value or the graph
Answer:
Step-by-step explanation:
2 AND 4
Simplify 8 to the second power plus 2
8^2 + 2 = 64 + 2 = 66
The answer is 66 because 8 to the second power is 64 and then you add 2.
Answer:
66
Step-by-step explanation:
8^2 is equal to 64
64 +2 = 66
8^2 is 8x8
so 8x8= 64
64+2 is 66
someone please help meeeeee
Answer:
B. (5,0)
Step-by-step explanation:
hope this helps
Answer:
B. (5,0)
Step-by-step explanation:
Place all the coordinates on the graph and then its pretty much self-explanatory after that. you just see which is closest to the subject. which, in this case, was the school.
Helppp meee please !!!
Answer:
why has the speaker come to the earth
Answer:
the two numbers are 3x and -x.
Step-by-step explanation:
product = -3x²
sum = 2x
hope this helps you.
What is the constant in the expression below?
-6a2 + 4a - 3
A) -6
B) 2
C)4
D) -3
write the equation of the line that passes through the points ( 1, -1) and (0, 5)
Answer:
y=-6x+5
Step-by-step explanation:
m=(y2-y1)/(x2-x1)
m=(5-(-1))/(0-1)
m=(5+1)/-1
m=6/-1
m=-6
y-y1=m(x-x1)
y-(-1)=-6(x-1)
y+1=-6(x-1)
y=-6x+6-1
y=-6x+5
The square below represents one whole.
Express the shaded area as a fraction, a decimal, and a percent of the whole.
Fraction:
Decimal:
Percent:
Answer:
Fraction: 9/10
Decimal: 0.9
Percent: 90%
Kathryn is 1.4 meters tall. Convert her height to feet. Round to the nearest tenth.
Answer:
4.59318
Step-by-step explanation:
I think you would have to round to the nearest tenth or something so i dont know but this is the exact answer.
The electric bills of household in a state are normal distribution the average of $85 with a standard deviation of $8. A sample of 25 households are selected random. Find the probability that the mean bill is less than $83.
Answer:
0.106
Step-by-step explanation:
We can plug this into normalcdf using the following values:
Lower bound = -1000
Upper bound = 83
Mean = 85
Standard deviation = pop. standard deviation / √(sample size) = 8/5 = 1.6
If I take 1 hour to cook a batch of cookies and I have 15 ovens working 24 hours a day every day for 5 years, how long does it take me to make 6000000 batches of cookies?
Answer:
Approximately 40,069 days
please help i have a few minutes left!!
A. {a, c, g, j, k, r}
B. {C, g)
C. {a}
D. {a, c, g, j, q, k, r}
Answer:
Short
"Option A is the answer"Pls look at the picture for the question.
Answer:
10
Step-by-step explanation:
each tick mark is worth 5
there is the -10, then one to the right is -5, next is 0, next is 5, next one (the one where the x is) 10, next 15, next 20.