Answer:
10
Step-by-step explanation:
The distance between the points (-3, -6) and (3, 2) is 10 units.
What is the distance formula between two points?The distance formula between two points (x₁, y₁) and (x₂, y₂) is given by,
D = [tex]\sqrt{(x_2 - x_1)^2 + (y_2 - y_1_)^2[/tex].
Given, We have to determine the distance between the points (- 3, - 6) and (3, 2).
Let, (x₁, y₁) is (- 3, - 6) and (x₂, y₂) is (3, 2).
Therefore,
D = [tex]\sqrt{(3 + 3)^2 + (2 + 6)^2[/tex].
D = [tex]\sqrt{(6)^2 + (8)^2[/tex].
D = [tex]\sqrt{(36 + 64)[/tex].
D = [tex]\sqrt{100}[/tex].
D = 10 units.
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The numerator of a rational number is less that it’s denominator by 7.If the new number becomes 3/2 when the numerator is tripled and the denominator is increased by 16, find the original number
Pls help me with this question
Answer:
[tex]\frac{23}{30}[/tex]
Step-by-step explanation:
let the denominator of the original fraction be x, then
[tex]\frac{x-7}{x}[/tex] ← is the original fraction
After the given changes, that is
[tex]\frac{3(x-7)}{x+16}[/tex] = [tex]\frac{3}{2}[/tex] ( cross- multiply )
6(x - 7) = 3(x + 16) ← distribute parenthesis on both sides
6x - 42 = 3x + 48 ( subtract 3x from both sides )
3x - 42 = 48 ( add 42 to both sides )
3x = 90 ( divide both sides by 3 )
x = 30
Thus
[tex]\frac{30-7}{30}[/tex] = [tex]\frac{23}{30}[/tex] ← the original rational number
Identify the sets as integers,natural numbers or whole numbers {0,5,10,15}
Answer: They are all of the above.
Step-by-step explanation: A integer is a whole number, a whole number is a integer and a natural number is a whole number. The definition of a whole number is a number with no fractions, the definition of a integer is a number with no fractions, and the definition of a natural number is a positive number.
In order to inscribe a circle in a triangle, which line must you construct?
Answer:
You must construct an angle bisector. The point where two angle bisectors meet is the center of the circle.
The correct answer is D. angle bisector.
Hope this helps =)
Give 3 angle measures of an obtuse triangle.
Answer:There are many different answers :-) but 100, 40, 40 is one
Step-by-step explanation:
There are quite a few answers, but you need to make sure 1 angle is greater than 90 degrees. The remaining two angles should add up to less than 89 degrees and all 3 angles should total 180 degrees.
i.e. 100, 40, 40
Jermaine went to the Adventureland Park with $40 to spend. His ticket cost $16. Write and solve an inequality to show how much he might spend on souvenirs and snacks.
Please help me do this ❤️
Answer:
24$ left
Step-by-step explanation:
40-16=24$
he has 24$ left for snacks
make me brainiest and hope this helps
Identify the constant term in 14x + 6y - 5. A. 14 B. 6y C. -5 D. 5
Answer:
D
Step-by-step explanation:
Answer:
C. -5
Step-by-step explanation:
14x and 6y both have variables attached to them
the most basic form for a function like this is ax+by+c
the definition of constant is a fixed value. the reason your constant has to be a solo number, not attached to a variable, is that these variables change the number!! so, -5, the only number that won't change in the function, is the constant.
Someone help me please !!
13 points
Answer:
idk
Step-by-step explanation:
Please answer CORRECTLY !!!!!! Will mark brainliest !!!!!!!!!!
Answer:
f(a) = 1,5
Step-by-step explanation:
-3a + 6b = a + 4b
[+3a] [+3a]
6b = 3a + 4b
[-4b] [-4b]
2b = 3a
[÷2] [÷2]
b = 1,5a
If U is the set of all natural numbers less than 10, A is its subset containing all natural numbers less than 6 and B⊂U consists of all natural numbers greater than 4 (and of course smaller than 10), draw Venn diagram showing these sets. List elements of sets A, B, their union, and their intersection.
Answer:
U = {1,2,3,4,5,6,7,8,9}
A = {1,2,3,4,5}
B = {5,6,7,8,9}
Step-by-step explanation:
Rewrite the function by completing the square.
h(x)=4x^2-36x+81
Answer:
[tex]4(x-4.5)^2+60.75[/tex]
Step-by-step explanation:
[tex]h(x)=4x^2-36x+81\\\\h(x)=4(x^2-9x+20.25)+60.75\\\\h(x)=4(x-4.5)^2+60.75[/tex]
Hope this helps!
Answer:
Step-by-step explanation:
Use the formula
b/2^2
Answer: 4( x- 9/2)^2 + 0
simplify (3)(-4) + (3)(4) - 1
Answer:
1
Step-by-step explanation:
Please answer CORRECTLY !!!!!! WILL MARK BRAINLIEST
Answer:
5
Step-by-step explanation:
7m - 2m = 5m
-5n - 3n = 8n ( just in case you need it (: )
Also, have a great day
The solid glass award that Jillian was given has a total height of 15 inches as shown. A rectangular pyramid with a base of 6 inches by 4 inches and a height of 15 inches. A rectangular prism with a length of 6 inches, width of 4 inches, and height of 2 inches. What is the total volume of glass used to make the award? 120 inches cubed 152 inches cubed 168 inches cubed 204 inches cubed
Answer:
204inches i think
Step-by-step explanation:
Answer:
120
Step-by-step explanation:
edge
A rectangular street sign has an area of 40 square inches and a perimeter of 28 inches. What are the dimensions of the sign?
inches by inches
Answer: 4 inches by 10 inches
Step-by-step explanation:
The area of a rectangle can be written as b*h, while perimeter is equal to (2b +2h).
A = b*h = 40
P = 2b + 2h = 28
P = 2b + 2h
28 = 2b + 2h
28 = 2(b+h)
14 = b + h
What two numbers add to 14 and multiply to 40?
4 * 10 = 40
4 + 10 = 14
Answer:
10 and 4
Step-by-step explanation:
Try:
. 13(5x + 7y + 8)
Answer:
65x+91y+104
Step-by-step explanation:
13(5x + 7y + 8)
Distribute
12*5x +13*7y+13*8
65x+91y+104
Answer:65x+91y+104
Step-by-step explanation:
(13)(5x+7y+8)
(13)(5x)(13)(7y)+(13)(8)
65x+91y+104
Hope this helps
A globe in the shape of a sphere has a radius of 3/4 ft. What is the volume of the globe?
Answer:
1.768
Step-by-step explanation:
Answer:
1.77 ft^3
Step-by-step explanation:
V=4/3pi(3/4)^3
V=4*3^3pi/3*4^3
V=9pi/4^2
V=9pi/16
V=1.77
What is the height of the cone below?
3 in.
9 in.
27 in.
75 in.
Answer:
The answer should be 9in.
hope that helped.
Step-by-step explanation:
Answer:
b
Step-by-step explanation:
Solve for x. Your answer must be simplified. x/-8 ≥−5
Answer:
x ≤ 40
Step-by-step explanation:
Given
[tex]\frac{x}{-8}[/tex] ≥ - 5
Multiply both sides by - 8 to clear the fraction, reversing the symbol as a result of multiplying by a negative quantity.
x ≤ 40
A jar contains 100 tickets for a drawing. Among those tickets are 7 winning tickets. What are the odds in favor of winning?
A. 7:93
B. 7:100
C. 93:7
D. 93:100
Answer:
i say 7/100
Step-by-step explanation:
if the 100 tickets is your total then its your denominator
the 7 is represents the tickets what are winners
hi what s the answer
Answer:
a) 60%
b) 55%
Step-by-step explanation:
a) Count the shaded boxes: 6
Count the total: 10
6 / 10 = 60%
b) Count the shaded boxes: 11
Count the total: 20
11 / 20 = 55%
Answer:
Hey!
a) 60%
b) 55%
Step-by-step explanation:
how do you get a??
we have to c ount the shaded boxes: 6 boxes
6 divided by 10 = 0.6 (multiply by 100 to get 60%)
Now...
We have to count the shaded boxes: 11 boxes in total
Count the total available boxes: 20
11 divided by20 = 0.55 (multiply by 100 to get 55%)
HOPE THIS HELPS!!
The safe fluoride-to-water ratio is 0.5 to 1.4 parts per million (ppm) gallons. What is the range in parts of fluoride that could be added to 500,000 gallons of water?
Answer:
250,000 to 700,000 parts
Step-by-step explanation:
For the lower ratio of 0.5, we have to get 0.5 flouride parts/1 gallon of water equivalent to (some fluoride parts)/ (500,000 gallons of water). we can multiply 500,000 by 0.5 to get 250,000 as our lower limit. Similarly, we can multiply 500,000 by 1.4 to get 700,000 as our upper limit
40 points
What are the slope and the y-intercept of the linear function that is represented by the table?
x
y
Negative three-fourths
Negative StartFraction 1 Over 30 EndFraction
Negative one-half
Negative StartFraction 2 Over 15 EndFraction
One-fourth
Negative StartFraction 13 Over 30 EndFraction
Two-thirds
Negative three-fifths
The slope is Negative two-fifths, and the y-intercept is Negative one-third.
The slope is Negative one-third, and the y-intercept is Negative two-fifths.
The slope is One-third, and the y-intercept is Negative two-fifths.
The slope is Two-fifths, and the y-intercept is Negative one-third.
Answer:
c
Step-by-step explanation:
did the exam on edge and got 100
The slope is Negative two-fifths, and the y-intercept is Negative one-third. Hence, the correct option is A.
What is the equation of a line?A line is a one-dimensional shape that is straight, has no thickness, and extends in both directions indefinitely. The equation of a line is given by,
y =mx + c
where,
x is the coordinate of the x-axis,
y is the coordinate of the y-axis,
m is the slope of the line, and
c is the y-intercept.
The slope of the linear function that is represented by the table,
Slope, m = [(-3/5) - (-13/30)]/[(2/3)-(1/4)]
= [(-18+13)/30] / [(8-3)/12]
= -(12/30)
= -(2/5)
The y-intercept of the linear function that is represented by the table can be found by substituting the coordinate of any one point in the equation of the line.
[tex]y = mx + c\\\\-(\dfrac{2}{15}) = -(\dfrac{2}{5})(-\dfrac12) + C\\\\-\dfrac{2}{15} = \dfrac15 + C\\C = -\dfrac5{15}\\\\C = -\dfrac13[/tex]
Hence, The slope is Negative two-fifths, and the y-intercept is Negative one-third. Hence, the correct option is A.
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write a table to show your steps for calculating the standard deviation and then use your table to calculate the standard deviation of the values listed:
10, 11, 12, 10.5, 11.25, 12.25, 10
Answer:
The standard deviation for the given data set is 1.65.Step-by-step explanation:
The Standard Deviation is defined as
[tex]\sigma =\sqrt{\frac{\Sigma (x_{i} -\mu)^{2} }{N-1} }[/tex]
Where [tex]\sigma[/tex] is the standard deviation, [tex]\mu[/tex] is the mean and [tex]N[/tex] is the total number of data.
So, first, we need to find the mean of the data set.
[tex]\mu = \frac{10+11+12+10.5+11.25+12.25+10}{7} =11[/tex]
Now, we have to subtract each data with the mean to then elevate the differnece to the square power.
[tex]10-11 = -1 \implies (-1)^{2}=1\\ 11-11 = 0 \\12-11 = 1 \implies 1^{2}=1\\ 10.5-11 = -0.5 \implies (-0.5)^{2} =0.25\\11.25 - 11 = 0.25 \imples (1.25)^{2}=0.0625\\12.25 - 11 = 1.25 \implies (1.25)^{2}=1.5625\\10-11 = -1 \implies (-1)^{2}=1[/tex]
Then, we sum all these results.
[tex]\Sigma (x_{i}- \mu )^{2}=1+0+1+0.25+0.0625+1.5625+1=16.278[/tex]
Next, we divide the sum by [tex]N-1=7-1=6[/tex]
[tex]\frac{\Sigma (x_{i}-\mu )^{2} }{N-1}=\frac{16.278}{6} \approx 2.713[/tex]
Finally, we apply the square root.
[tex]\sigma = \sqrt{2.713} \approx 1.65[/tex]
Therefore, the standard deviation for the given data set is 1.65.
Solve for y.
212-y=282
Answer:
y = -70
Step-by-step explanation:
212 - y = 282
212 - 282 = y
-70 = y
y = -70
Can you guys help me plsss
I do not get this work
Answer:
160 square units
Step-by-step explanation:
We need to find the surface area of this figure, which is basically the areas of all the exterior sides.
Looking at the pyramid, we notice that we have 4 congruent triangles and 1 square.
Triangles:
The area of a triangle is denoted as A = (1/2) * b * h, where b is the base and h is the height. Here, the base is 8, so b = 8, and the height is 6, so h = 6. Plug these values in to get the area of one triangle:
A = (1/2) * b * h
A = (1/2) * 8 * 6 = (1/2) * 48 = 24
The area of one triangle is 24 square units, so the area of 4 is 24 * 4 = 96 square units.
Square:
The area of a square is denoted by: A = s * s = s². Here, s = 8, so plug that in:
A = s²
A = 8² = 8 * 8 = 64
The area of the square is 64 square units.
Now add up the areas of the triangles and square:
96 + 64 = 160 square units
The surface area is 160 square units.
Answer:
160
Step-by-step explanation:
Surface area = 4 triangles + square
4(½ × 6 × 8) + 8²
96 + 64
160 units²
Aljan and Bella are both driving from Cleveland to Chicago. Aljan leaves at
7:40 and averages 60 mph (miles per hour on the way. Bella leaves at 8:00
and averages 65 mph on the way. The situation is modeled by this system,
where x is the number of hours after Bella leaves and y is the distance each
will travel:
y = 60x + 20
y = 65x
How long after Bella leaves will she pass Aljan, and how far will they each
have traveled?
Answer:
Bella will pass Ajjan after 4h and they will have travelled 260 miles.
Step-by-step explanation:
In order to calculate the number of hours, "x", that it'll take for Bella to pass Aljan, we need to find the value of "x" that makes both equations equal. Therefore,
[tex]60*x + 20 = 65*x\\65*x - 60*x = 20\\5*x = 20\\x = \frac{20}{5} = 4[/tex]
In order to calculate the distance they traveled, we must use this value for "x" in any of the equations, as done below:
[tex]y = 65*4\\y = 260[/tex]
Bella will pass Ajjan after 4h and they will have travelled 260 miles.
Answer:
Bella will pass Ajjan after 4h and they will have travelled 260 miles.
Step-by-step explanation:
2
Select the correct answer.
In an axiomatic system, which category do points, lines, and planes belong to?
A
theorems
B.
axioms
C.
undefined terms
D.
definitions
help meeee, i need helppp
Answer: The first one is A. 16 + 10 +10 +10 +10
The second one is 40 units^2
Step-by-step explanation:
Answer:
A
Step-by-step explanation:
When you get all the areas together, the answer is A. Sorry i was late to help
Find the volume of the prism.
The volume is
cubic inches.
So the right answer is 3/10 cubic inches.
Look at the attached picture
Hope it will help you
Good luck on your assignment
There are 9 friends playing a card game in which all of the 52 cards in a standard deck are distributed to the players. How many cards does each person get?
Answer:5 and 7 left
Step-by-step explanation:
Answer:
Each person would get 5 cards, withe 7 left over.
Step-by-step explanation:
This is because 52/9 is 5.7777. So then you would multiply 9 by 5 and get 45. You finally do 52-45 and get the 7 leftovers.