Answer:
Equation of line that passes through the points is; y= -13x - 31
Step-by-step explanation:
Given coordinates;
(- 2, - 5) and (3. - 8)
Find:
Equation of the line
Computation:
Equation of line that passes through the points is;
y = mx + c
So,
in (- 2, - 5)
-5 = m(-2) + c
-5 = -2m + c ...................Eq1
in (3, - 8)
- 8 = m(3) + c
-8 = 3m + c .....................Eq2
From eq2 + eq1
m = -13
-5 = -2m + c
-5 = -2(-13) + c
-5 = 26 + c
c = -31
So,
y = mx + c
y = (-13)x + (-31)
Equation of line that passes through the points is; y= -13x - 31
4x + 3y =18
x-3y = 7
Answer:
x=8,y=-2/3
Step-by-step explanation:
make x the subject of formula
x=7+3y
substitute into the first equation
4(7+3y)+3y=18
28+12y+3y=18
28+15y=18
15y=18-28
15y=-10
y=-10/15=-2/3
since y=-2/3, substitute y into x=7+3y
x=7+3(-2/3)
x=7-2
x=5
find the radius of a circle
if the circumference is 66cm
Answer:
10.5
Step-by-step explanation:
What is the value of P
Answer:
Hello! answer: 42
Step-by-step explanation:
These are vertical angles meaning it will have the same measure so p = 42 hope that helps!
what is the median of 72 27 24 11 14 and 12
Answer: 19
Step-by-step explanation: Since there is no one middle number we have to find the mean of the two middle numbers. Once you find the mean for 24 and 11 you will see that the answer is 19.
Answer:
The median is the middle number in numerical order.
Numerical order - [tex]11,12,14,24,27,72[/tex]
There are 6 numbers.
The median is 19.
Write the equation of the linear relationship in slope-intercept form.
Answer:
y = 1/3x + 70/3
Step-by-step explanation:
2 points on the graph:
(20, 30) and (50, 40)
Slope:
m=(y2-y1)/(x2-x1)
m=(40 - 30)/(50 - 20)
m= 10/30
m= 1/3
Slope-intercept:
y - y1 = m(x - x1)
y - 30 = 1/3(x - 20)
y - 30 = 1/3x - 20/3
y = 1/3x + 70/3
The original cost of a laptop computer was x dollars. The expression 0.36 represents the value of the laptop today. Choose two expressions that also represent the value of the laptop today.
A. 1-0.64
B x-0.36
C. X-0.64
D. X(1 - 0.36)
E. X(1- 0.64)
Answer:
b and e
Step-by-step explanation:
b is easy: its the cost of the laptop times 0.36
e is a bit more complicated- its 1 minus 0.64 giving you 0.36 and then its just the same problem as b from there
Blueberry pies sold each day
Least:
Greatest:
Median (02):
Lower Quartile (Q1):
Upper Quartile (03):
Blueberry pies sold each day So, Least: 1, Greatest:8, Median(02):4,
Lower quartile(q1):3, Upper quartile(03):5.
What are quartiles?When we get data that can be compared relatively with each other, for finding quartiles, we arrange them in ascending or descending order.
Quartiles are then selected as 3 points such that they create four groups in the data, each group approximately possessing 25% of the data.
The lower quartile, also called the first quartile has approx 25% in its left partition, and on its right lies approx 75% of the data.
Left to right is said in the assumption that data were arranged increasingly from left to right.
From the given data
The Least number is 1.
The greatest number is 8.
The Median(02) is 4.
Lower Quartile (Q1): 3
Upper Quartile (03): 5
Learn more about quartiles here:
brainly.com/question/9260741
#SPJ2
In ΔWXY, the measure of ∠Y=90°, YX = 40, XW = 41, and WY = 9. What ratio represents the cosine of ∠W?
Answer:
Step-by-step explanation:
cosine W=9/41
Answer:
cos W = [tex]\frac{9}{41}[/tex]
Step-by-step explanation:
cos W = [tex]\frac{adjacent}{hypotenuse}[/tex] = [tex]\frac{WY}{XW}[/tex] = [tex]\frac{9}{41}[/tex]
HELP ASAP !!!!!!!!!!!!!!
Answer:
x = sqrt(17)
Step-by-step explanation:
Angle B is 90 degrees; the line BC is a radius of circle C and line AB is a tangent line of BC. Since they must be perpendicular, angle B is 90 degrees.
Now use the pythagorean theorem to solve for x.
c=9, a = 8, b= x
a^2+b^2=c^2
8^2+x^2=9^2
x=sqrt(81-64)
x=sqrt(17)
HELLLPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPP
Five friends take a maths test
Adam, Brandon, Chen together scored 200 marks
Brandon, Chen and Damion together scored 215
Chen, Damion, Erica together scored 224
Damion and Erica scored more than Chen
The five of them together scored 350 marks
What are their individual scores?
Answer:
Adam scored 60, Brandon scored 66, Chen scored 74, Damion scored 75, and Erica scored 75.
Step-by-step explanation:
Since five friends took the maths test, and Adam, Brandon, and Chen together together scored 200 marks; Brandon, Chen and Damion together scored 215; Chen, Damion and Erica together scored 224; and Damion and Erica scored more than Chen; While the five of them together scored 350 marks, to determine what are their individual scores the following calculations must be done:
Adam + Brandon + Chen = 200
Damion + Erica = 150
Brandon + Chen + Damion = 215
Adam + Erica = 135
Chen + Damion + Erica = 224
Adam + Brandon = 126
Adam + Brandon = 126 + Chen = 200
Chen = 200 - 126
Chen = 74
Damion and Erica scored more than Chen
Chen + Damion + Erica = 224
74 + Damion + Erica = 224
Damion + Erica = 150
Damion = 75
Erica = 75
Brandon + Chen + Damion = 215
Brandon + 74 + 75 = 215
Brandon = 215 - 74 - 75
Brandon = 66
Adam = 350 - 75 - 75 - 74 - 66
Adam = 60
Therefore, Adam scored 60, Brandon scored 66, Chen scored 74, Damion scored 75, and Erica scored 75.
2. Suppose over several years of offering AP Statistics, a high school finds that final exam scores are normally distributed with a mean of 78 and a standard deviation of 6. A. What are the mean, standard deviation, and shape of the distribution of x-bar for n
Answer:
By the Central Limit Theorem, the mean is 78, the standard deviation is [tex]s = \frac{6}{\sqrt{n}}[/tex] and the shape is approximately normal.
Step-by-step explanation:
Central Limit Theorem
The Central Limit Theorem establishes that, for a normally distributed random variable X, with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean [tex]\mu[/tex] and standard deviation [tex]s = \frac{\sigma}{\sqrt{n}}[/tex].
For a skewed variable, the Central Limit Theorem can also be applied, as long as n is at least 30.
Mean of 78 and a standard deviation of 6
This means that [tex]\mu = 78, \sigma = 6[/tex]
Samples of n:
This means that the standard deviation is:
[tex]s = \frac{\sigma}{\sqrt{n}} = \frac{6}{\sqrt{n}}[/tex]
What are the mean, standard deviation, and shape of the distribution of x-bar for n?
By the Central Limit Theorem, the mean is 78, the standard deviation is [tex]s = \frac{6}{\sqrt{n}}[/tex] and the shape is approximately normal.
1. How much salt and baking powder together is needed to make 36 cup cakes?
Answer:
too much salt will not bring taste to the cup cakes
Step-by-step explanation:
Help plz:)))I’ll mark u Brainliest
Answer:
[tex]sin^{-1}(\frac{51}{53})\\=74.21\\[/tex]
≈74
Lance purchased 6 songs and spent $9.
Erika purchased 8 songs and spent $12.
If each of song costs the same amount of
money, what is the constant of
proportionality between the money spent
and the number of songs downloaded?
A. 0.75
B. 1.5
C. 2
D. 3
Alice sells boxes of candy at the baseball game and wants to know the mean number of boxes she sells. The numbers for the games so far are listed below. 16, 14, 14, 21, 15
Answer:
1st
Step-by-step explanation:
You need to add the numbers and then dicuvde by how many numbers are there.
Answer:
16
Step-by-step explanation:
"Mean" is another way of asking for the average. Add all numbers together, then divide by how many numbers you started with.
16 + 14 + 14 + 21 + 15 = 80
80 ÷ 5 = 16
A dozen apples costs $2.35. At this rate, how much would 5 apples cost?
Answer:
0.95 is your answer
Step-by-step explanation:
Answer:
$.98
Step-by-step explanation:
so if a dozen apples cost $2.35 that can be represented by the equation 12x=2.35
so solve that for x because that is the price of a single apple
so then if you just leave it because it is a weird decimal then x times 5(to figure out how much 5 apples cost) is
(2.35/12) * 5 = 47/48 or about $.98
so five apples cost $.98
Sara
has
what
you can work out
she needs.
Saved & 75. This is 30% of
She needs. Explain how
Answer:
The question seems incomplete.
Step-by-step explanation:
A garden table and a bench cost $672 combined. The garden table costs $78 less than the bench. What is the cost of the bench?
Answer:
b = $375
Step-by-step explanation:
b = cost of the bench
t = cost of the table
t = b - 78
b + b - 78 = 672
2b = 750
b = $375
Help me please will be appreciated thx
Answer:
-6 +8d -2c
Step-by-step explanation:
[tex]\frac{-2}{5} (15 -20d +5c) = \frac{-2}{5} \times 15 - \frac{-2}{5}\times20d +\frac{-2}{5}\times5c = -6 + 8d -2c[/tex]
I need help doing my homework
Answer:
A= πr^2
45=πr^2
45/1 =22/7×r^2
45/1=22r^2/7 cross multiply
22r^2 ×1=45×7
22r^2=315 divide both sides by 22
22r^2/22=315/22
r^2=14.318
Can any one psay what is monmon meaning I think it's and alien
Answer:
Monmon is a Beast Digimon. It is a Digimon that has the appearance of an infant monkey. It has enough strength to wield a slingshot the size of its body with ease, and confidence in its abilities to prevent its prey from escaping. It often falls from treetops due to its careless personality. Its stylish traits are its tiger-printed outfit and its white-tipped tail
What is the radius in the eqution below? (x - 5) ^ 2 + (y + 3) ^ 2 = 49
Answer:
7.
Step-by-step explanation:
The equation of a circle is
(x - h)² + (y - k)² = r²
Where
(h, k) is the center and r is the radius, so we only need to work with r.
The expression states that
r² = 49 or the radius squared is equal to 49. So solve for r to find the radius.
r² = 49
Take the square root.
r = 7
The radius of the equation is 7.
The equation $x + {y = 2 can be rewritten in a form that reveals the y-intercept of the graph of the equatior
Drag numbers to complete the equation that is equivalent to $x + žy = 2 and show the value of the y-intercept
Answer:
[tex]y = \frac{2}{z} - \frac{x}{z}[/tex]
Step-by-step explanation:
Given
[tex]x + zy = 2[/tex]
Required
Rewrite to show y-intercept
We have: [tex]x + zy = 2[/tex]
Subtract x from both sides
[tex]zy = 2-x[/tex]
Divide both sides by z
[tex]y = \frac{2}{z} - \frac{x}{z}[/tex]
The y intercet is: [tex]\frac{2}{z}[/tex]
Please solve thank you
Answer:
you multiply
Step-by-step explanation: itss easy just multiply it
Any help would be greatly appreciated!
Answer:
the answer for that question is sqrt(49)
Help me pls !!!!! Rlly need it
Answer:
its ajwhwowhwkwuquwwyqkqhqoagwkw6shsossgsjiwhesishsisjsjsishwiwgaisujwwisu
=
3x-2
6
which of the following is the inverse of f(x)?
2x-3
6
O A. f-'(x) = 2x
O f-
B. F'(x) = 6452
O C. F'(x) = 6*+2
O D. F'(x) = 2***
Answer:
i thi nk correct answer is b so
50 POINTS !
PLEASE HELP ILL GIVE BRAINLIEST !! EXPLAIN YOUR ANSWER .
FAKE ANSWERS WILL GET REPORTED.
Answer:
cap it's only 5
Step-by-step explanation:
Answer:
I think she drove 65 mile.
Step-by-step explanation:
I used a piece of paper and drew a triangle. One side 25 and another 60.
Then i used the Pythagorean theorem.
Find the slope please and thank you!! :))
Answer:
3/2
Step-by-step explanation:
(y-y)/(x-x)=-1+7/2+2=6/4=3/2
Answer:
Slope = 1.5
Step-by-step explanation:
m = (y₂ -y₁) / (x₂-x₁)
m = (-1+7) / (2+2)
m = 1.5
Multiply 0.06 by 0.021
Answer:
Just multiply:
= 0.06×0.021
= 1.26
is this the right answer I don't even know my answer
Answer:
0.00126
Step-by-step explanation:
If you just ignore the decimals for a second, and focus on the numbers, then when you multiply 6 by 21, you get 126.0. Then move the decimal over 5 spaces, because there are 5 decimal spaces in total. Sorry if my explanation is a little confusing.
Hope that this helps!