Answer:
2.23606797749979
Midpoint
(2,−4.5)
Slope
0.5
x intercept
11.00
y intercept
−5.50
Step-by-step explanation:
d = √ ((X2-X1)2+(Y2-Y1)2)
d = √ (1-3)2+(-5--4)2
d = √ ((-2)2+(-1)2)
d = √ (4+1)
d = √ 5
The distance between the points is 2.23606797749979
The midpoint of two points is given by the formula
Midpoint= ((X1+X2)/2,(Y1+Y2)/2)
Find the x value of the midpoint
Xm=(X1+X2)/2
Xm=(3+1)/2=2
Find the Y value of the midpoint
Ym=(Y1+Y2)/2
Ym=(-4+-5)/2=-4.5
The midpoint is: (2,-4.5)
Graphing the two points, midpoint and distance
P1 (3,-4)
P2 (1,-5)
Midpoint (2,-4.5)
The length of the black line is the distance between the points (2.23606797749979)
Find the slope of the line connecting the two points
Slope = (Y2-Y1) = (-5--4) = (-1) = 0.5
(X2-X1) (1-3) (-2)
Find the equation of the line passing through the two points
The general equation for a straight line is
y = mx + b
Where m represents the slope of the line which we found in the previous step to be 0.5
y = 0.50x + b
We substitute x and y for the values from one of our points (3,-4)
-4 = .50×3 + b
-4 = 1.50 + b
-4-1.50 = b
-5.50 = b
Knowing both b and m, we can contruct the equation of the line
y= 0.50x-5.50
X and Y intercepts
The x-intercept is a point on the graph where y is zero
Using the equation we found in the previous step and substituting zero for y
y= 0.50x-5.50
0= 0.50x-5.50
-0.50x= -5.50
x= -5.50/-0.50 = 11.00
The x intercept for this straight line is 11.00
The y-intercept is a point on the graph where x is zero
Using the equation we found in the previous step and substituting zero for x
y= 0.50×0-5.50
y= -5.50
The y intercept for this straight line is -5.50
How do you write a linear equation given the slope and a point that
is not the y-intercept?
Edge 2020
Answer:
point slope form
Step-by-step explanation:
hi! we can use point slope form:
y-y1=m(x-x1)
where m is the slope, x1 is the x-coordinate of the given point, and y1 is the y-coordinate of the given point.
example:
slope is 4
ordered pair is (2,3)
y-3=4(x-2)
y-3=4x-8
y=4x-5
hope this helps!
Help me plz!!!!!!!!!!!!!!!!!!!!!!!!!
Answer:
-2
Step-by-step explanation:
-2+5=3
The sum of two consecutive integers is no more than 17. What is the largest possible value for the greater integer?
a. 7 b. 10
C. 9 d. 6
log81 27 what does this equal
Answer:
3.90993025975
Step-by-step explanation:
For The 10% Of People That See This, Hope You Have The Best Day!
Answer:
Ah thank you, you too from me.
Can someone help? I need a answer by 10/29
Answer:
ad bc
Step-by-step explanation:
Answer: for part a the answer is aed and bec.
Step-by-step explanation:
Multiply. Use the greatest common factor to write each answer in simplest form. 32 x 3/8
Answer:
12
Step-by-step explanation:
You borrow $2000 for three years at an annual interest rate of 12% what is the total cost of the loan at the end of the three years
Answer:
2,391 paid altogether. The interest Rate was another 391 dollars.
Step-by-step explanation:
Classify the number: -135
Answer:
Integer, Rational number, Real number
Step-by-step explanation:
A toy company manufactures sealed cubes that contain a colored liquid that glows in the dark. The liquid completely fills the cubes. If 8 cubic blocks with a side length of m are needed to find the volume of each cube, how much of the liquid can each cube hold?
Answer:
[tex]Volume = 8m^3[/tex]
Step-by-step explanation:
Given
[tex]Cubes = 8[/tex]
[tex]Length = m[/tex] for each
Required
Determine how much all cubes can hold
First, we need to determine the volume of each.
[tex]Volume = m * m * m[/tex]
[tex]Volume = m^3[/tex]
For the 8 cubes, we have:
[tex]Volume = 8 * Volume\ of\ 1[/tex]
[tex]Volume = 8 * m^3[/tex]
[tex]Volume = 8m^3[/tex]
Someone help me w 8 and 9 please please
If you can answer this question please do it as soon as you can.
9514 1404 393
Answer:
6.045×10^40 ergs1.8×10^-2 mmStep-by-step explanation:
A) Your scientific or graphing calculator can tell you the product:
(3.9×10^33 erg/s)(1.55×10^7 s) = 6.045×10^40 ergs
__
B) 10^2 mm is 100 mm, about 4 inches, so 1.8×10^2 mm is about 7 inches. This is somewhat larger than the diameter of a human hair (and about the same size as the diameter of a human head).
1.8×10^-2 mm = 18 μm is a more reasonable estimate of hair diameter
(The range of hair diameters is reportedly about 17 to 181 μm, so the given dimension is on the low end.)
The rectangle below has an area of 6n^4+20n^3+14n^26n 4 +20n 3 +14n 2 6, n, start superscript, 4, end superscript, plus, 20, n, cubed, plus, 14, n, squared. The width of the rectangle is equal to the greatest common monomial factor of 6n^4, 20n^3,6n 4 ,20n 3 ,6, n, start superscript, 4, end superscript, comma, 20, n, cubed, comma and 14n^214n 2 14, n, squared. What is the length and width of the rectangle?
Given:
Area of rectangle = [tex]6n^4+20n^3+14n^2[/tex]
Width of the rectangle is equal to the greatest common monomial factor of [tex]6n^4, 20n^3,14n^2[/tex].
To find:
Length and width of the rectangle.
Solution:
Width of the rectangle is equal to the greatest common monomial factor of [tex]6n^4, 20n^3,14n^2[/tex] is
[tex]6n^4=2\times 3\times n\times n\times n\times n[/tex]
[tex]20n^3=2\times 2\times 5\times n\times n\times n[/tex]
[tex]14n^2=2\times 7\times n\times n[/tex]
Now,
[tex]GCF(6n^4, 20n^3,14n^2)=2\times n\times n=2n^2[/tex]
So, width of the rectangle is [tex]2n^2[/tex].
Area of rectangle is
[tex]Area=6n^4+20n^3+14n^2[/tex]
Taking out GCF, we get
[tex]Area=2n^2(3n^2+10n+7)[/tex]
We know that, area of a rectangle is the product of its length and width.
Since, width of the rectangle is [tex]2n^2[/tex], therefore length of the rectangle is [tex](3n^2+10n+7)[/tex].
i need help on this.
C= 0.41 + 0.26(m-1) solve for m
Answer:
m=(c-0.15)/0.26
Step-by-step explanation:
c=0.41+0.26m-0.26
0.26m=c-0.15
m=(c-0.15)/0.26
solve for substitution
x-2y+z=-11
3x+2y-z=7
-x+2y+4z=-9
Answer:
Unit rate miles per day is, 3
Step-by-step explanation:
Unit rate are defined as the rate are expressed as quantity of 1 such that 2 miles per hour or 5 km per hour.
As per the given statement: A construction crew built 1/2 miles of road in 1/6 days
by unit rate definition;
After substituting the given values we have
⇒
or
Therefore, unit rate miles per day is, 3
Step-by-step explanation:
hhhthhg
The value of y varies directly with x and y= 125 when x = 25. what is the value of y when x=2?
Answer:
Y = 10
Step-by-step explanation:
As, Y / X = 125/25
125/25 = 5
Therefore, y = 5x
So when x = 2
Y = 5x
So, Y = 5x2
Therefore, Y = 10
[y] will be equivalent to 10, if [x] is equal to 2
What is the general equation of a Straight line?The general equation of a straight line is -
[y] = [m]x + [c]
where -
[m] is slope of line which tells the unit rate of change of [y] with respect to [x].
[c] is the y - intercept i.e. the point where the graph cuts the [y] axis.
y = mx also represents direct proportionality. We can write [m] as -
m = y/x
OR
y₁/x₁ = y₂/x₂
Given is the value of [y] varies directly with [x] and y = 125 when x = 25.
Using the formula for direct proportionality -
y₁/x₁ = y₂/x₂
125/25 = y₂/2
y₂ = (125 x 2)/25
y₂ = 5 x 2
y₂ = 10
Therefore, [y] will be equivalent to 10, if [x] is equal to 2
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Write the Scientific Notation for 0.000315
Answer:
3.15 10^-4
Step-by-step explanation:
Answer:
3.15 × 10 to the power of -4Step-by-step explanation:
Hope this helps! <3
An architect makes a model of a new house. The model shows a tile patio in the backyard. In the model, each tile has a length 1/2in and 1/6in. The actual tiles have length 2/3ft and 2/9ft. What is the ratio of the length of a tile in the model to the length of actual tile? What is the ratio of the area of tile in the model to the area of an actual tile?
Answer:
Ratio of the lengths = 1 : 16 and 1 : 15.71
Ratio of the Area = 1 : 251.29
Step-by-step explanation:
Model = 1/2in and 1/6in.
Actual = 2/3ft and 2/9ft.
1 ft = 12 inches
2/3 ft = 8 inches
2/9 ft = 2.67 inches
Model = 0.5 inches and 0.17 inches
Actual = 8 inches and 2.67 inches
Ratio
0.5 : 8 and 0.17 : 2.67
= 0.5 / 8 and 0.17 / 2.67
= 1 / 16 and 1 / 15.71
= 1 : 16 and 1 : 15.71
Area of the tile in the model = length × width
= (0.5 × 0.17) inches
= 0.085 inches
Area of the actual tile = length × width
= (8 × 2.67) inches
= 21.36 inches
Ratio of the area
0.085 : 21.36
= 0.085 / 21.36
= 1 : 251.29
How do you make comparisons between an equation and a graph?
Answer:
here is a hint
Step-by-step explanation:
Understand that the graph of an equation in two variables is the set of all its solutions plotted in the coordinate plane, often forming a curve (which could be a line).
Compare slope of an equation and slope of a line on graph and compare y-intercepts.
What is an equation?In mathematics, an equation is a formula that expresses the equality of two expressions, by connecting them with the equals sign =.
Graph is a mathematical representation of a network and it describes the relationship between lines and points. A graph consists of some points and lines between them. The length of the lines and position of the points do not matter.
For linear equation,
Compare slope of an equation and slope of a line on graph and compare y-intercepts.
Understand that the graph of an equation in two variables is the set of all its solutions plotted in the coordinate plane, often forming a curve (which could be a line).
Therefore, compare slope of an equation and slope of a line on graph and compare y-intercepts.
To learn more about an equation visit:
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Lisa was throwing a dart at a target. She threw 50 times with her left hand and 50 times with her right hand. The histograms show the distance Lisa missed the target by each time. Make an inference about which hand Lisa has better aim with based on the median of each data set. Justify your response.
Answer:
The answer is "More accurately is the left hand".
Step-by-step explanation:
In the given-question when we look at the given equation and see its given graph. This graph offers a much more reliable right hand because it has a smaller distance than that of the left. That being said, the left hand never surpassed the target, again and again, that's why the above given choice is correct.
HELP!!! What is 0.8% as a decimal and fraction?
Arianna is packing scented candles and candle holders into gift boxes. She has 84 candles and 48 holders, and each box must contain both items. She puts the same number of candles in each box, and the same number of holders in each box. What is the maximum number of gift boxes Arianna can pack, and how many scented candles and candle holders will each box have?
Answer:
Step-by-step explanation:
If she has 84 candles and 48 holders, we can write out the factors of both values as shown
For candles
84 = 2×2×3×7
84 = 12×7
For 48
48 = 2×2×2×2×3
48 = (2×2)×(2×2×3)
48 = 4×12
48 = 12×4
From both factors, we can are that 12 common to both of them. This means that the maximum number of gift boxes Ariana can pack is 12
The other factors will give the amount of scented candles and candle holders that each box will have. This means that each box will have 7scented candles and 4 holders.
PLEASE HELP I NEED AWNSER ASAP
Answer:
B
Step-by-step explanation:
8th graders IQR-5
9th graders IQR-8
So, 8th Graders IQR is 3 less than 9th Graders IQR
2.5 as a simplified fraction
Answer:
I believe it would be 5/2
When doing a throw in how many of your feet should be touching the ground.
Can someone help me please please
Answer:
With? I dont see an image if you attached one
Step-by-step explanation:
The function g(x) represents f(x) = 9 cosine (x minus StartFraction pi Over 2 EndFraction) + 3 after translating StartFraction pi Over 6 EndFraction units left and 4 units up.
Which equation represents g(x)?
Answer:
B
Step-by-step explanation:
Im almost sure it B but if not then its for sure D.
The equation that represents the function g(x) is [tex]g(x)=9cos(x-\frac{\pi }{3} )+7[/tex].
What is function?Function, in mathematics, an expression, rule, or law that defines a relationship between one variable (the independent variable) and another variable (the dependent variable).
What is translation?Translation means the displacement of a figure or a shape from one place to another. In translation, a figure can move upward, downward, right, left or anywhere in the coordinate system. In translation, only the position of the object changes, its size remains the same.
The function is given as
[tex]f(x)=9cos(x-\frac{\pi }{2} )+3[/tex]
The function f(x) is first translated [tex]\frac{\pi }{6}[/tex] units left.
The rule of translation is:
[tex](x,y)=(x+\frac{\pi }{6},y)[/tex]
So, we have:
[tex]f'(x)=9cos(x+\frac{\pi }{6} -\frac{\pi }{2} )+3[/tex]
Take LCM
[tex]f'(x)=9cos(x+\frac{\pi-3\pi }{6} )+3[/tex]
[tex]f'(x)=9cos(x-\frac{2\pi }{6} )+3[/tex]
[tex]f'(x)=9cos(x-\frac{\pi }{3} )+3[/tex]
Next, translate f'(x) 4 units up.
The rule of this translation is:
[tex](x,y)=(x,y+4)[/tex]
So, we have:
[tex]g(x)=9cos(x-\frac{\pi }{3} )+3+4[/tex]
[tex]g(x)=9cos(x-\frac{\pi }{3} )+7[/tex]
Hence, the equation that represents the function g(x) is [tex]g(x)=9cos(x-\frac{\pi }{3} )+7[/tex].
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C) A restaurant operator in Accra has found out that during the partial lockdown, if she sells a plate of her food for GH¢20 each, she can sell 300 plates, but for each GH¢5 she raises the price, 10 less plates are sold. What price in GH¢ should she sell the plates to maximize her revenue?
Answer:
Maximum price = GH¢85
Step-by-step explanation:
Let p be the number of times she raises the price as well as the number of times 10 less plates are sold
Revenue, R = number of plates sold * price sold
R = (300 - 10p)(20 + 5p)
R = 6000 + 1500p - 200p - 50p²
R = 6000 + 1300p - 50p²
50p² - 1300p - 6000 = 0
p² - 26p - 120 = 0
finding the axis of symmetry, p = -b/2a
p = -(-26)/2*1
p = 13
Maximum price = 13 * 5 + 20 = GH¢85
Number of plates sold = 300 - 10 * 13 = 170 plates
Maximum revenue = GH¢85 * 170 = GH¢14,450
PLease help thanks legit only!!!!!!!!!!!!!
The slope is 0, or answer choice c.