Answers
The equation of the blue line will be
y = 4x -3
The equation of the line that passes through the points (1, 1) and (2, 5) is y = 4x - 3.
We have,
To find the equation of the line that passes through the coordinates (1, 1) and (2, 5), we can use the point-slope form of the equation of a line.
The point-slope form of the equation is:
y - y1 = m(x - x1)
Where (x1, y1) represents one of the given points on the line, and m represents the slope of the line.
First, let's calculate the slope (m) using the given coordinates:
m = (y2 - y1) / (x2 - x1) = (5 - 1) / (2 - 1) = 4 / 1 = 4
Now, we can choose either of the given points and substitute its coordinates into the point-slope form. Let's use (1, 1):
y - 1 = 4(x - 1)
Simplifying the equation:
y - 1 = 4x - 4
y = 4x - 3
Therefore,
The equation of the line that passes through the points (1, 1) and (2, 5) is y = 4x - 3.
Learn more about the equation of a line here:
https://brainly.com/question/23087740
#SPJ2
Related Questions
PLEASE HELP
What type of association does the graph show between x and y?
Answers
Answer: Linear association
Step-by-step explanation:
A study found that the average time a person spent exercising each week was 84 minutes, but there could be up to a 3% error in this
number. Which of these could be the actual average time spent?
es
A)
78.32 minutes
B)
81.48 minutes
C)
87.32 minutes
D)
88.64 minutes
B is the answer
Answers
Answer:
C
Step-by-step explanation:
The actual average time = 81.5 minutes
The correct answer is an option (B) 81.48 minutes
What is percent error?"percent error = [(estimated value - actual value) / (actual value)] × 100"
For given example,
percent error (e) = 3%
estimated average time spent (x) = 84 minutes
We need to find the actual average time spent (y)
Using the formula of percent error,
⇒ e = [(x - y)/y] × 100
⇒ 3 = (84 - y)/y × 100
⇒ (84 - y)/y = 3/100
⇒ (84 - y) / y = 0.03
⇒ 84 - y = 0.03y
⇒ 84 = 0.03y + y
⇒ 84 = (1.03)y
⇒ y = 81.5 minutes
Therefore, the actual average time = 81.5 minutes
The correct answer is an option (B) 81.48 minutes
Learn more about the percent error here:
https://brainly.com/question/10501147
#SPJ2
Find the product of 2 and 3 and then take that from 8
Answers
Answer:
2
Step-by-step explanation:
2*3=6
8-6=2
2×3=6 8-6=2
Step-by-step explanation:
im was a great place
X-7<14 help me please I need help
Answers
Answer:
x < 21
Step-by-step explanation:
What is the simple interst on $32,000 at 7% interest for 6 months
Answers
Answer:
1120$
Step-by-step explanation:
Total Intrest/By 7%
Answer:
$1,120 hope this helps!
Step-by-step explanation:
Valentino's Pizzeria sells four types of pizza crust. Last week, the owner tracked the number sold of each type, and this is what he found.
Type of Crust Number Sold
Thin crust 338
Thick crust 331
Stuffed crust 164
Pan style 192
Based on this information, of the next 4000 pizzas he sells, how many should he expect to be stuffed crust? Round your answer to the nearest whole number. Do not round any intermediate calculations.
Answers
Answer: Number of pizzas out of 4000 that is expected to be pan size
= 4000 * 168 / (326 + 309 + 247 + 168)
= 640
what is the exact value of cos(7pi/8)
Answers
Answer:
cos ([tex]\frac{7\pi}{8}[/tex]) = [tex]-\frac{\sqrt{2+\sqrt{2}}}{2}[/tex]
Decimal value: −0.9238795325...
Step-by-step explanation:
Write,
cos [tex]\frac{7\pi}{8}[/tex] = cos [tex](\pi-\frac{\pi}{8})[/tex] = −cos [tex]\frac{\pi }{8}[/tex]
Now using half angle formula, cos(x) = 2 cos²([tex]\frac{\pi }{2}[/tex]) − 1, we can write cos [tex]\frac{\pi }{4}[/tex] = 2
cos²([tex]\frac{\pi }{8}[/tex]) − 1
This means [tex]\frac{1}{\sqrt{2}}[/tex] + 1 = 2 cos²([tex]\frac{\pi }{8}[/tex])
2 cos²([tex]\frac{\pi }{8}[/tex]) = [tex]\frac{\sqrt{2}+1}{\sqrt{2}}[/tex]
cos²([tex]\frac{\pi }{8}[/tex]) = [tex]\frac{\sqrt{2}+1}{2\sqrt{2}}[/tex]
cos([tex]\frac{\pi }{8}[/tex]) = [tex]\sqrt{\frac{\sqrt{2}+1}{2\sqrt{2}}}[/tex]
Simplify,
[tex]\sqrt{\frac{\sqrt{2}+1}{2\sqrt{2}}}[/tex] = [tex]\sqrt{\frac{2+\sqrt{2}}{4}[/tex] = [tex]\frac{\sqrt{2+\sqrt{2}}}{2}[/tex]
Hence,
cos ([tex]\frac{7\pi}{8}[/tex]) = −cos ([tex]\frac{\pi }{8}[/tex]) = [tex]-\frac{\sqrt{2+\sqrt{2}}}{2}[/tex]
The exact value of cos(7pi/8) is [tex]\rm -\dfrac{\sqrt{2+\sqrt{2}} }{2 }[/tex] and this can be determined by using the trigonometric properties.
Given :
Expression -- [tex]\rm cos(\dfrac{7\pi}{8})[/tex]
The following steps can be used to determine the exact value of the given expression:
Step 1 - Write the given expression.
[tex]=\rm cos(\dfrac{7\pi}{8})[/tex]
Step 2 - Rewrite the above expression.
[tex]= \rm cos(\dfrac{8\pi - \pi}{8})[/tex]
Step 3 - The above expression is reduced to:
[tex]= \rm -cos(\dfrac{ \pi}{8})[/tex] --- (1)
Step 4 - According to the trigonometric properties:
[tex]\rm cos(x) = 2 cos^2(\frac{x}{2})-1[/tex]
Step 5 - Substitute the value of x = [tex]\pi[/tex]/4 in the above expression.
[tex]\rm cos(\frac{\pi}{4}) = 2 cos^2(\frac{\pi}{8})-1[/tex]
Step 6 - Simplify the above expression.
[tex]\rm cos(\frac{\pi}{8})=\sqrt{\dfrac{\dfrac{1}{\sqrt{2}} +1}{2}}[/tex]
[tex]\rm cos(\frac{\pi}{8})=\sqrt{\dfrac{1+\sqrt{2} }{2\sqrt{2} }[/tex]
[tex]\rm cos(\frac{\pi}{8})=\dfrac{\sqrt{2+\sqrt{2}} }{2 }[/tex]
Step 7 - Substitute the value of cos([tex]\pi[/tex]/8) in the expression (1).
[tex]\rm -cos(\frac{\pi}{8})=-\dfrac{\sqrt{2+\sqrt{2}} }{2 }[/tex]
For more information, refer to the link given below:
https://brainly.com/question/17081568
3 of 8
The area of a circle is 16.71cm2.
Find the length of the radius rounded to 2 DP.
Answers
Answer:
Radius = 2.31 cm
Step-by-step explanation:
Area of circle = 16.71 square centimeters
[tex]\pi r^2 = 16.71 \\3.14r^2=16.71\\r^2=\frac{16.71}{3.14}\\r^2=5.32\\\sqrt{r^2}=\sqrt{5.32}\\r=2.306[/tex]
Radius of circle = 2.31 centimeter
whoever helps me ill mark brainliest
Answers
can someone help please!
Answers
Answer:
7*(1/10)= the third one
Step-by-step explanation:
Answer:
I am here to save you!!!!
Step-by-step explanation:
It's the third one
Which number is NOT in the solution set of x + 6 < 14?
Answers
Answer:
x < 8
Step-by-step explanation:
x + 6 < 14
x < 14-6
x < 8
hope it help u
plz follow me
There is more than one answer!
Answers
Answer:
I think it's B and D
Step-by-step explanation:
what is the length of the diagonal C
then find the length of diagonal D
Answers
Answer:
d = √389
Step-by-step explanation:
to find c we use 15 and 8 into the formula of "a^2 + b^2 = c^2" which is 17. Now we use 17 and 10 as a and b to find c in the formula which is d.
a^2 + b^2 = c^2
10^2 + 17^2 = x^2
100 + 289 = x^2
389 = x^2
√389 = √x^2
√389 = x
Which is the least common multiple of 8 and 16?
Answers
Answer:
The awnser is 2
Step-by-step explanation:
Two sides of a triangle measure 25 cm and
35 cm. Which of the following could be
the measure of the third side?
0 11 cm
O 6cm
O 8 cm
O 3 cm
Answers
A cone with the same base but a height 3 times taller than the given cylinder exists. What is the volume of each figure? Express your answers in terms of pi.
Volume of the cylinder = pi
Volume of the cone = pi
Answers
Answer: the answer to this problem is 36 :)
Answer:
Both are 36
Step-by-step explanation:
I just did it
Find the slope of the graph of
the linear function, f,
if f(3) = 6
and f(-2) = -4.
Answers
Answer:
slope is 2
Step-by-step explanation:
Slope Formula: [tex]m=\frac{y2-y1}{x2-x1}[/tex]
= [tex]\frac{-4-6}{-2-3}[/tex]
= [tex]\frac{-10}{-5}[/tex]
= [tex]2[/tex]
If a rhombus is a square, then it is a rectangle ( True or False )
Answers
Answer:
That would be false
Step-by-step explanation:
*
Which does NOT describe SLOPE?
unit rate
rate of change
"per"
initial value
Answers
Unit Rate is the correct answer, I know because it is the correct answer
Question 2 Average annual rainfall totals for cities in New York are listed below. Rochester 0.97 meters Ithaca 0.947 meters Saratoga Spring 1.5 meters New York City 1.268 meters Choose the rainfall measurements which are in order from least to greatest.
Answers
Answer:
rocket ships
Step-by-step explanation:
rocket ships
obamnia
Evaluate (-4)^(-2)..........................................................................................................
Answers
Answer:
[tex](-4)^{2} = \frac{1}{16}[/tex]
Step-by-step explanation:
Explanation:-
Given (-4)⁻²
we will apply (a)⁻ⁿ = [tex]\frac{1}{a^{n} }[/tex]
(-4)⁻² = [tex]\frac{1}{(-4)^{2} }[/tex]
[tex]= \frac{1}{(-1)^{2} (4)^{2} }[/tex]
[tex]= \frac{1}{16}[/tex]
[tex](-4)^{2} = \frac{1}{16}[/tex]
Please help don’t know answer
Answers
Answer: Slope: 2/3
y-intercept: 9
Step-by-step explanation:
A recipe calls for 3 cups of pecans for every 5 cups of walnuts. How many cups of pecans should be added to 8 cups of walnuts?
A. 1.3 cups
B. 1.875 cups
C. 4.8 cups
D. 15 cups
Answers
Answer:A
Step-by-step explanation:
A ratio shows us the number of times a number contains another number. The correct option is C.
What is a Ratio?A ratio shows us the number of times a number contains another number.
Given that a recipe calls for 3 cups of pecans for every 5 cups of walnuts. Therefore, the ratio of pecans to walnuts is,
Pecans/ Walnuts = 3 cups / 5 cups
Now, the number of cups of pecans that should be added to 8 cups of walnuts is,
Pecans/ Walnuts = 3 cups / 5 cups
Pecans/ 8 cups = 3 cups / 5 cups
Pecans = (8×3)/5 cups
Pecans = 4.8 cups
Hence, the correct option is C.
Learn more about Ratios:
https://brainly.com/question/1504221
#SPJ2
I will give BRAINLIEST
Answers
Did you ever get the answers ?
Answers
Answer:
of what??????????????????
Answer:
what do you mean???
How many degrees warmer is Knowlton than
Gainesville
Knowlton-12c
Gainesville-9c cooler
Answers
12c-9c=3c
Graph the line 3x + y = 12.
Answers
Answer:
the slope is -3 and the y intercept is 12
PLZ ANSWER ASAP
Which equation represents a direct variation?
y = 0.5 x
x - y = 5
xy = 5
y = x + 5
Answers
Answer:
a
Step-by-step explanation:
Answer:
y = 0.5 x equation represents a direct variation
What is the name of the decimal number?
3.54
Answers
Answer:
Three and fifty four hundredths.
I hope this helps!
Answer:
54 hundreths
Step-by-step explanation:
What is the volume of the composite figure. I said 36 but it is wrong.
Answers
Answer:
108
Step-by-step explanation:
You are correct for stating one tissue box has a volume for 36.
But notice there are 3 tissue boxes, so in order to find the total volume, you should add them up.
36+36+36=108
Answer:
6*3*2=36 there are 3 boxes so 36*3=108
Step-by-step explanation:
