Answer:
y=-x+2
Step-by-step explanation:
m=(y2-y1)/(x2-x1)
m=(-5-1)/(7-1)
m=-6/6
m=-1
y-y1=m(x-x1)
y-1=-1(x-1)
y-1=-x+1
y=-x+1+1
y=-x+2
Answer:
y = -1 x + 2
Step-by-step explanation:
First of all, remember what the equation of a line is:
y = mx+b
m is the slope, and b is the y-intercept.
Now, to find m, simply substitue here: [tex]m=\frac{y1-y2}{x1-x2}[/tex]
Which means: m = [tex]\frac{-5-1}{7-1} = -1[/tex]
Now, look at our line's equation so far: y=-1x+b.
b is what we want, the -1 is already set and x and y are just two "free variables" sitting there. We can plug anything we want in for x and y here, but we want the equation for the line that specfically passes through the two points (1,1) and (7,-5).
So, why not plug in for x and y from one of our (x,y) points that we know the line passes through? This will allow us to solve for b for the particular line that passes through the two points you gave!
You can use either (x,y) point you want..the answer will be the same:
Either: (1,1). y=mx+b or 1=-1 × 1+b, or solving for b: b=1-(-1)(1). b=2.
Or: (7,-5). y=mx+b or -5=-1 × 7+b, or solving for b: b=-5-(-1)(7). b=2.
both gave us the same answer for b, which is 2.
Therefore, the equation of the line that passes through the points (1,1), and (7,-5) is:
Y = -x + 2
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Answer:
You could start by measuring the angle of the slope, then mark the half point of the slope, call it 0, then mark the left end -1 and then the right end 1
You may begin by calculating the slope's angle, then marking the slope's midway point, or 0, then the left end, -1, and finally the right end, 1.
The width of a rectangle is the length minus 2 units. The area of the rectangle is 8 square units. What is the length, in units, of the rectangle?
The length of the rectangle is 4 units.
What is rectangular shape?A quadrilateral with parallel sides that are equal to one another and four equal vertices is known as a rectangle.
Let n be the length of the rectangle.
The width of a rectangle is the length minus 2 units.
The width = n - 2
The area of the rectangle is 8 square units.
The area of the rectangle = length x width
8 = n (n-2)
n²-2n - 8 = 0
n²-4n+2n - 8 = 0
n(n-4)+2(n-4) = 0
(n+2)(n-4) = 0
n = 4 and -2.
So the length is 4 units.
Therefore, 4 units are the length of the rectangle.
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A math club is having a bake sale. Find the area of the bake sale sign.
The Area of the sign is_ square feet
The bake sale sign has a 6 ft2 space.
What is area?
An object's area is how much space it takes up in two dimensions.
It is the measurement of the quantity of unit squares that completely cover the surface of a closed figure.
The word "area" refers to a free space.
A shape's length and width are used to compute its area. Unidimensional length is expressed in terms of feet (ft), yards (yd), inches (in), etc.
But a shape's area is a two-dimensional measurement. In order to measure something in a square, it is done so using measurements like square inches (in2), square feet (ft 2), square yards (yd2), etc.
The majority of forms and things have corners and edges.
According to our question-
The opposite sides of a rectangle's quadrilateral (it has four sides and four angles) are equal and parallel.
Area of a rectangle equals length times width.
The area of the bake sale sign = length * breadth
Hence, The bake sale sign has a 6 ft2 space.
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Response Question
How much do Americans pay for coffee on average? In a 2015 survey of 105 randomly selected U.S.
adults, the respondents were asked what price they paid for their most recent purchase of coffee.
The sample data had a mean of $3.42 and a standard deviation of $0.75.
Answer:
The right solution is "3.29, 3.57".
Step-by-step explanation:
Seems that the given problem is incomplete. Below is the attachment of the complete and appropriate query.
The given values are:
Randomly selected adults,
[tex]n = 105[/tex]
Mean,
[tex]\bar{x} = 3.42[/tex]
Standard deviation,
[tex]s = 0.75[/tex]
Now,
At 95% confidence level if given by,
= [tex]\bar{x} \ \pm \ Z_{\frac{\alpha}{2} }\times \frac{s}{\sqrt{n} }[/tex]
On putting the given values, we get
= [tex]3.42 \ \pm \ Z_{\frac{0.05}{2} }\times \frac{0.75}{\sqrt{105} }[/tex]
= [tex]3.42 \ \pm \ 1.96\times 0.073[/tex]
= [tex]3.42 \ \pm \ 0.143[/tex]
= [tex]3.29, 3.57[/tex]
Write two equivlants ratios for each ratios
a. 3:12
b) 3/5
c) 108:9
help meeeeeee plsssss begging u
Step-by-step explanation:
[tex]3 : 12 \equiv \frac{3}{12} \equiv 1 : 4[/tex]
[tex] \frac{3}{5} \equiv3 : 5[/tex]
[tex]108 : 9 \equiv \frac{108}{9} \equiv12 : 1[/tex]
What is the surface area of the cylinder with height 7 in and radius 6 in? Round your answer to the nearest thousandth.
Answer: 490.088 in2
Step-by-step explanation:
Sammies room is 20 feet long and 12 feet wide her parents want to cover the floor with tiles. If they choose to use tiles with with side 2 feet long how many tile would they need
Find the area of the room by multiplying the length by the width:
Area of room = 20 x 12 = 240 square feet.
Find the area of the tile: 2x 2 = 4 square feet.
To find the number of tiles divide the area of the room by the area of a tile:
240/4 = 60
They will need 60 tiles.
Answer:
120
Step-by-step explanation:
20*12=240
240/2=120
Jenna noted the prices for a bag of dog food at a number of online stores. The prices were $22, $9, $10, $19, $18, and $20.
Find the mean, median, and mode of the prices.
Which measure of center BEST describes this set of data. Explain your choice.
Answer:
Mean: 16.333333333333
Median: 18.5
Mode: 9,10,18,19,20,22
Step-by-step explanation:
Mean: Add all the terms together and divide your result by the amount of you there are. ((22+9+10+19+18+20) / 6)
Median- Organize the terms from least to greatest. When you find the middle of the terms you will get 18.5, look for what between 18 and 19.
Mode- Normally to find the mode you would order the terms from least to greatest, and then find which term occurs the most. But since all the terms occur once, it will be all of the terms.
what is the quotient of 6x^3+2x-x/x where x≠0
Answer:
6[tex]x^{2}[/tex] + 1
Step-by-step explanation:
[tex]\frac{6x^{3}+ 2x-x }{x}[/tex] combine 2x -x = x
[tex]\frac{6x^{3} + x}{x}[/tex]
[tex]\frac{x(6x^{2} + 1) }{x}[/tex] the x's cancel out
6[tex]x^{2}[/tex] + 1
by using the distributive property and the greatest common factor what is 18+15
Answer:
33
Step-by-step explanation:
18 + 15 ← factor out 3 ( the GCF ) from each term
= 3(6 + 5)
= 3(11)
= 3 × 11
= 33
The waitress had a table with a bill of $75.29 and received $12.80. What was the percent tip she received?
Answer:
17%
Step-by-step explanation:
Firstly, we can establish that the tip is a percentage of the bill, excluding tips. This means that the $75.29 would be 100%, thus to find the percentage of tip received, we would take
$12.80/$75.29 × 100 = 17%
Hi, please help (see image)
I need help on question b) and c)
This homework is due very soon !!! ( SOS)
Answer:
b: Two thousand four hundred and forty (2440)
c: 1.33 x 10^27
Step-by-step explanation:
I'm uncertain by what an ordinary number is, but to calculate the answer for part b, you need to divide the diameter of Mercury by 2, which would give the aforementioned answer.
As for part c, you will need to subtract the masses of Jupiter and Saturn:
mass of Jupiter - mass of Saturn = 1.33 ×[tex]10^{27}[/tex]
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Answer:
√28 and √11
Step-by-step explanation:
Note : -
Irrational number is any real number that cannot be expressed as the quotient of two integers.
Here,
√28 = 5.291.......
5.291.... is an infinite number, it keeps going, it cannot be expressed in terms of a fraction.
Similarly,
√11 = 3.316......
Hence,
√28 and √11 are irrational numbers.
What is the length of the hypotenuse of a 45 45 90 triangle if the length of the leg is 5?
The length of the hypotenuse will be 5√2 = 7.07
The triangle specified in the question is right-angled, one angle is mentioned to be 90°. It is also an isosceles triangle since both other angles are equal. if both angles are equal, both sides will also be equal.
So the length of both equal sides = 5 cm
Pythagoras' theorem tells us about the relationship between the three sides of a right-angled triangle. It states that the square of the hypotenuse of the right-angled triangle will be equal to the sum of squares of the other two sides. If a, b, and c are the sides
c² = a²+ b²
c = √(a²+b²)
According to Pythagoras' theorem, Hypotenuse = √base²+ alt²
Hypotenuse = √5²+5²
= 5√2
= 7.07 cm
So the length of the hypotenuse is 5√2 = 7.07 cm.
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A cuboid has a volume of 24 cm^3. What can its maximum surface area be, if its length, breadth, and height are integers?
Answer:
76 cm^2
Step-by-step explanation:
Volume of the cuboid = Length(l)×breadth(b)×Height (h)
Given that
A cuboid has a volume of 24 cm^3 and its length, breadth, and height are integers only.
prime factor of 24 = [tex]2^3\times3\times1[/tex]
24 = 2×3×2×2×1
24= 12×2×1
or 24= 6×4×1
Now, for Surface area to be maximum we have to take dimensions as
12,2,1
SA = 2(lb+lh+bh)
=2(12×2+12×1+2×1)
= 76 cm^2
Therefore, maximum area of the cuboid with diemensions, 12,2,1 = 76 unit
Pula need to make an 80% on her test to pass the class. she has 25 questions on the test. How many does she need to get correct
Answer:
Step-by-step explanation:
25×80%=20
so she need to get 20 questions right
Answer:
20
Step-by-step explanation:
total question: 25
marks need to pass: 80%
25-20% = 20
please help with math
Answer:
i think linear
Step-by-step explanation:
let me know if this is wrong
12 cm 11 cm 11cm find the volume
Volume:-
= 12 × 11 × 11
= 12 × 121
= 1452 cm³
Answer:
it is 1452 I believe (๑ↀᆺↀ๑)
The three angles of a triangle have measures of 65 degrees, 15 degrees, and (x +42) degrees. What is x?
please !!! only a couple minutes left!! help
Answer:
58 degree is the value of x
The students at Walden Middle School are selling tins of popcorn to raise money for new uniforms. They sold 42 tins in the first week.How much money did they make in the first week?
Answer:
$388.50
Step-by-step explanation:
42 tins
$9.25/tin
[tex]42*9.25=388.5[/tex]
So, they raised $388.50
please help just answer the blanks I'll give a crown thing don't waste an answer.
Answer:
5) 1: 63
2: 117
3: 63
4: 117
5: 63
6: 117
7: 63
8: 117
Step-by-step explanation:
Vertical, corresponding, alternate exterior, and alternate interior angles are all congruent (equal).Angles such as same side exterior and same-side interior are supplementary; meaning these angles add up to 180°.Jason wants to buy his dad a television for his birthday. The original cost is $1300. The sales price is $800. What is the percent change for the television? Round your answer the the nearest tenth.
Answer: 38.5%
Step-by-step explanation:
it decreased by 38.5%
formula for it is (value 2 - value 1)/value 1 * 100 = so (800-1300)/1300*100 = -500/1300*100 = -0.384615 * 100 = -38.4615 = -38.5 (round off) = 38.5 decrease
15. A pool can hold 850 gallons. It now has 598 gallons of
water and is being filled at the rate shown. How many
more minutes, m, can water continue to flow into the
pool before it overflows? Write and solve an inequality.
Then graph the solutions.
Help plis and thankyou :)
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In tenpin bowling, the height of each bowling pin must be 15 inches with an absolute deviation of 0.03125 inches find the minimum and maximum possible heights of the bowling pin.
The minimum and maximum possible heights of the bowling pin are 14.96875 inches and 15.03125 inches
How to find the minimum and maximum possible heights of the bowling pin.From the question, we have the following parameters that can be used in our computation:
Absolute deviation = 0.03125 inches
Height = 15 inches
The minimum is calculated as
Minimum = Height - Absolute deviation
Substitute the known values in the above equation, so, we have the following representation
Minimum = 15 - 0.03125 inches
Minimum = 14.96875 inches
The maximum is calculated as
Maximum = Height + Absolute deviation
Substitute the known values in the above equation, so, we have the following representation
Maximum = 15 + 0.03125 inches
Minimum = 15.03125 inches
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HELP
Find the Axis of Symmetry
Answer:
Axis of symmetry= 3
Step-by-step explanation:
f(x)= 2x^2 +12x-4
f(x)=ax^2+bx+c
x=12/2(2)
x=3
f(x)= 2(3)^2+12(3)-14
f(x)= 2(9)+36-14
f(x)=18+36-14
f(x)= 54-14
y=40
20 PTS-what Theorem can be used to prove these triangles are congruent
Answer: AAS
Step-by-step explanation:
AAS, because the side congruence isn't between the angles as it should be in order for it to be ASA.
what is 4 /25 in a whole number
Step-by-step explanation:
4/25 cannot be converted into a whole number, it is less than 1
Answer:
decimal = 0.15
whole number (rounded) = 0
Which polynomial is prime?
x3 + 3x2 -2x - 6
x° - 2x2 + 3x 6
4x4 + 4x3 - 2x - 2
D 2x + x3 -x +2
The final equation is a polynomial of primes [tex]2x^{4} + x^{3} - x + 2[/tex] It can't be factored. Variables are sometimes known as indeterminate in mathematics.
what is polynomial ?An essential component of the "language" of mathematics and algebra are polynomials. They are used to express numbers that are the result of mathematical operations in almost every area of mathematics. Other types of mathematical expressions, such as rational expressions, also use polynomials as "building blocks."
given
Is a base form of a polynomial in other words is a polynomial that can't be factored.
so we have
[tex]A ) x^{3} +3x^{2} - 2x - 6 = ( x +3 ) ( x^{2} - 2 )\\B) x^{3} -2x^{2} +3x - 6 = ( x- 2 ) (x^{2} + 3)\\C)4x^{4} +4x^{3} - 2x - 2 = 2( x +1 )(2x^{2} - 1)\\D) 2x^{4} +x^{3} -x + 2[/tex]
hence, the final equation is a polynomial of primes [tex]2x^{4} + x^{3} - x + 2[/tex] It can't be factored.
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PLEASE HELP
Using the ratio 26 black marbles to 2 white marbles, match the following to create the equivalent ratios.
Step-by-step explanation:
1:13
2:26
3:39
4:52
5:65
6:78
Rule - ×13