Answer:
y = 4x - 8
Step-by-step explanation:
(-1, -12) & (4, 8)
First you want to find the slope of the line that passes through these points. To find the slope of the line, we use the slope formula: (y₂ - y₁) / (x₂ - x₁)
Plug in these values:
(8 - (-12)) / (4 - (-1))
Simplify the parentheses.
= (8 + 12) / (4 + 1)
= (20) / (5)
Simplify the fraction.
20/5
= 4
This is your slope. Plug this value into the standard slope-intercept equation of y = mx + b.
y = 4x + b
To find b, we want to plug in a value that we know is on this line: in this case, I will use the second point (4, 8). Plug in the x and y values into the x and y of the standard equation.
8 = 4(4) + b
To find b, multiply the slope and the input of x(4)
8 = 16 + b
Now, subtract 16 from both sides to isolate b.
-8 = b
Plug this into your standard equation.
y = 4x - 8
This is your equation.
Check this by plugging in the other point you have not checked yet (-1, -12).
y = 4x - 8
-12 = 4(-1) - 8
-12 = -4 - 8
- 12 = -12
Your equation is correct.
Hope this helps!
Here is a square inscribed in a circle with radius 1 meter. What is the perimeter of
the square? Explain or show your reasoning
Answer:
[tex]4\sqrt{2}[/tex]
Step-by-step explanation:
distance formula:[tex]\sqrt{\left(x_2-x_1\right)^{2}+\left(y_2-y_1\right)^{2}}[/tex]
set square to be centered on the origin and find the distance between 2 of the connected points
[tex]\sqrt{\left(3-2\right)^{2}+\left(2-1\right)^{2}}[/tex]
= [tex]\sqrt{\left(1\right)^{2}+\left(1\right)^{2}}[/tex]
= [tex]\sqrt{2}[/tex]
multiply by 4 as it is a square and all of its sides are equal
[tex]4\sqrt{2}[/tex]
insert units
[tex]4\sqrt{2}\ \ meters[/tex]
The perimeter of the square is √32.
Given to us
the radius of the circle is 1 meterWhat is the diagonal of the square inscribed in the circle?As we can see in the figure AB is the diagonal of the square and diameter of the circle. therefore,
AB = Diagonal of the square = Diameter of circle = 2 x Radius = 2 meter
We know the diagonal of a square is equal to the product of √2 and the side of the square.
[tex]Diagonal = side \times {\sqrt2}[/tex]
Substitute the value,
[tex]2 = side \times {\sqrt2}\\\\side = \dfrac{2}{\sqrt2}\\\\side ={\sqrt2}[/tex]
What is the perimeter of the square?The perimeter of the square is four times the side of the square.
[tex]Perimeter = 4\times (side)[/tex]
Substitute the value,
[tex]Perimeter = 4\times (\sqrt2)\\\\Perimeter = 4\sqrt2 = \sqrt{2\times 16} = \sqrt{32}[/tex]
Hence, the perimeter of the square is √32.
Learn more about Square:
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The cost of a phone call at a hotel is determined by the formula
C = 0.35t + 0.6
Where C is the cost in dollars and T is the length of the call, in minutes.
What is the length of a call that costs 5.85
(a) 3 minutes
(b) 6 minutes
(c) 15 minutes
(d) 18 minutes
Show your answer for Brainliest
Which function has a greater constant rate of change explain. Function A y=10x-3 or function B x 1 2 3 4 5 and y are 20 15 10 5 0
Answer:
The function B has greater constant
Step-by-step explanation:
[tex]m(b) = \frac{20 - 15}{1 - 2} = - 5 \\ y = - 5x + c \\ when \: y = 20 \: \: \: \: \: and \: x = 1 \\ 20 = - 5 \times 1 = c \\ c = 25[/tex]
can anyone tell me the answer for b
Answer:
88....................
Answer:
88 people
Hope it helps!!!!
can someone please explain(ignore the lines i’ve drawn on i don’t think they are
correct)
Answer:
Step-by-step explanation:
1.open the compass more than half of the distance between C and D, and scribe arcs of the same radius centered at C and D.
2. Call the two points where these two arcs meet A and B. Draw the line between A and B.
3. AB is the perpendicular bisector of the line segment CD. Call the point where AB intersects CD E.
This website offers a pretty good explanation:
https://web.sonoma.edu/users/w/wilsonst/courses/math_150/c-s/Perp-Bisect.html
Find the value of x in the figure below 13x+8 2x+7
Step-by-step explanation:
step 1. (13x + 8) + (2x + 7) = 180 (definition of same side interior angles)
step 2. 15x + 15 = 180 (like terms)
step 3. 15x = 165 (subtract 15 from each side)
step 4. x = 11. (divide both sides by 15)
Doctors sometimes use this formula to calculate how much medicine to give a child. A child who is 4 years old needs some medicine. The amount for an adult is 20 ml. Use the formula to work out the correct amount for this child.
Answer:
A basic formula, solving for x, guides us in the setting up of an equation: D/H x Q = x, or Desired dose (amount) = ordered Dose amount/amount on Hand x Quantity
Step-by-step explanation:
Medications are available in multiple concentrations, therefore orders written in "mL" rather than "mg" are not acceptable and require further clarification.
...
Example 2.
Step 1. Calculate the dose in mg: 18 kg × 100 mg/kg/day = 1800 mg/day
Step 2. Divide the dose by the frequency: 1800 mg/day ÷ 1 (daily) = 1800 mg/dose
PLSS HELP BRAINLIEST
Answer:
y=-2x-1
Step-by-step explanation:
1st step is to find the slope
which is....
-2
2nd step would be find y-intercept
which is....
-1
soooo your equation would be....
y=-2x-1
Evaluate N= -3.3 - n x n
Answer:kk
Step-by-step explanation:
the gradient of the line y = 4 -2x
Answer:
-2
Step-by-step explanation:
the slope-intercept form
if x-y=9,x²+y²=27,then xy=?
Answer:
xy = - 27
Step-by-step explanation:
Note that
(x - y)² = x² - 2xy + y² ← substitute given values, that is
9² = 27 - 2xy
81 = 27 - 2xy ( subtract 27 from both sides )
54 = - 2xy (divide both sides by - 2 )
- 27 = xy
POSSIBLE POINTS
I am having a family reunion this summer. I have $5,000.00 to spend. I will spend $1575.00 for decorations and entertainment. The cator will charge
$26.00 per person. How many people can attend with the given budget. Write and solve an equation, then state how many people can attend the
reunion.
Answer:
The answer is 131 people
Step-by-step explanation:
I'm not too sure about equations bc its been a min since I've done them but maybeeeee it's 26x - (1,575) = 5,000 something like that LOL
All I know is that you have to subtract 1575 from 5,000 and then you get 3,435 dollars left and you divide that by 26 people and you get 131.731 but of course you can't have a half of person so it stays at 131.
Hopefully that helped lol
Write 2 41/50 as a percent
Answer:
282%
Step-by-step explanation:
2 and 41/50 is also 82/100 so 282%
The mixed number A = 2 41/50 as a percentage is P = 282 %
Given data ,
Let the percentage value be represented as P
Now , the mixed number is given as A
where the value of A = 2 41/50
On simplifying the number , we get
A = 2 82/100
where the conversion of a fraction to a percent, we divide the numerator by the denominator and multiply by 100.
(141/50) x 100 = 282/1
On simplifying the equation , we get
P = 282%
Therefore, 2 41/50 is equal to 282%
Hence , the percentage value is A = 282 %
To learn more about percentage click :
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simplify the surd 3√ 20 +√ 45
Answer:
9[tex]\sqrt{5}[/tex]
Step-by-step explanation:
Using the rule of radicals
[tex]\sqrt{a}[/tex] × [tex]\sqrt{b}[/tex] ⇔ [tex]\sqrt{ab}[/tex]
Simplify the radicals
[tex]\sqrt{20}[/tex]
= [tex]\sqrt{4(5)}[/tex]
= [tex]\sqrt{4}[/tex] × [tex]\sqrt{5}[/tex]
= 2[tex]\sqrt{5}[/tex]
[tex]\sqrt{45}[/tex]
= [tex]\sqrt{9(5)}[/tex]
= [tex]\sqrt{9}[/tex] × [tex]\sqrt{5}[/tex]
= 3[tex]\sqrt{5}[/tex]
Then
3[tex]\sqrt{20}[/tex] + [tex]\sqrt{45}[/tex]
= 3(2[tex]\sqrt{5}[/tex] ) + 3[tex]\sqrt{5}[/tex]
= 6[tex]\sqrt{5}[/tex] + 3[tex]\sqrt{5}[/tex]
= 9[tex]\sqrt{5}[/tex]
The temperature at 12 am was 44 degrees. The temperature dropped steadily for the next 8 hours to reach the daytime low of 20 degrees. Create an equation for the relationship between temperature and the time.
Answer:
20=-8x+44
Step-by-step explanation:
hope this helps and have a great day
After Stan makes a 15% down payment on a $7,000
motorcycle, how much will he still owe?
Can someone pls help me with this ???
Answer: x and y coordinate
Step-by-step explanation:
the list shows 8 of talishas maths quiz scores.
70, 81, 82, 82, 82, 89, 94, 100
what is the mean absolute deviation of her quiz scores?
Answer: 85
Yupyupyupypu
HELP PLEASE! DID I DO THAT RIGHT?!
Answer:
I think it is right, yes i think it is.
Step-by-step explanation:
A plane leaves an airport traveling at 400 mph in the direction N 45° E. A wind is blowing at 40 mph in the direction N 45° W. What is the ground speed of the plane?
400 mph
402 mph
429 mph
440 mph
i would say c maybe?
Answer: B - 402
Edge 2020
i need help with this
Answer:
The answer is B
Step-by-step explanation:
Write the equation in vertex farm
x2 - 8x + 10 = 0
Answer:
x = 4 + √ 6 , 4 − √ 6 hope this is correct-
In Panama City in January high tide was at midnight. The water level at high tide
help , thanks for your help , a farm grew 19.8 tons of wheat in 2013 . The farm's wheat output increased by 9.8% from 2014 and by 5.1% from 2015 , which expression represents a strategy bfor estimating the total output of wheat , in tons in 2015?
Answer:
Step-by-step explanation:
D is a rough estimate because the actual output would be
9.8(1.098)(1.051)
Simplify, must end in positive exponent :)
Answer:
b^4
Step-by-step explanation:
have a good day
Step-by-step explanation:
[tex] \frac{ ({b}^{8}) (b)}{(b)^{5} } \\ = \frac{ {b}^{8 + 1} }{ {b}^{5} } \\ = \frac{ {b}^{9} }{ {b}^{5} } \\ = {b}^{9 - 5} \\ = {b}^{4} [/tex]
Hope it will help :)
What is the least common multiple of 12, 18, and 45?
Answer:
180
Step-by-step explanation:
Given the equation 4(3n-7) = -19, what is the first step you could use to solve for n?
Answer:
3/4
Step-by-step explanation:
4(3n-7)=-19
3n-7=-19/4
3n=-19/4+7
3n=-19/4+28/4
3n=9/4
n=(9/4)/3
n=(9/4)(1/3)
n=9/12
simplify
n=3/4
Answer:
3/4
You would have to divide both sides by 4
Step-by-step explanation:
[tex]\frac{4(3n-7)}{4} =\frac{-19}{4}[/tex] ( divide both sides by 4 )
[tex]3n-7= -\frac{19}{4}[/tex] ( simplify )
[tex]3n-7+7=-\frac{19}{4} +7[/tex] ( add 7 to both sides )
[tex]3n=\frac{9}{4}[/tex] ( simplify )
[tex]\frac{3n}{3} =\frac{\frac{9}{4} }{3}[/tex] ( divide both sides by 3 )
[tex]n=\frac{3}{4}[/tex]
75÷4= how much money did they have
Answer:
18.75
Step-by-step explanation:
Answer:
$18.75
Step-by-step explanation:
I think of a number, double it, subtract 3,
the result is 7. Evaluate the number that I first thought of.
Answer:
5
Step-by-step explanation:
2x - 3 = 7
this equation can represent the senario because the number (x) is doubles (multiplyed by 2), subtracted by 3 then equal to 7
then you can just solve for x
2x=10
x=5
Which is a solution to the equation?
(x - 3)(x - 5) = 35
Ox= -8
O x= -5
O x= 2
O x = 10
Answer:
x=10
Step-by-step explanation:
Let's solve your equation step-by-step.
(x−3)(x−5)=35
Step 1: Simplify both sides of the equation.
x2−8x+15=35
Step 2: Subtract 35 from both sides.
x2−8x+15−35=35−35
x2−8x−20=0
Step 3: Factor left side of equation.
(x+2)(x−10)=0
Step 4: Set factors equal to 0.
x+2=0 or x−10=0
x=−2 or x=10
