Answer:
d = [tex]\sqrt{29}[/tex]
Step-by-step explanation:
[tex]d= \sqrt{(x_2-x_1)^2+(y_2-y_1)^2} \\d= \sqrt{(1-(-1))^2+(-1-4)^2} \\d= \sqrt{(2)^2+(-5)^2} \\d= \sqrt{4+25} \\d=\sqrt{29}[/tex]
The distance between each pair of points (-1,4) and (1,-1) is √29 units after using the distance formula.
What is a distance formula?It is defined as the formula for finding the distance between two points. It has given the shortest path distance between two points.
The distance formula can be given as:
[tex]\rm d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]
It is given that:
The distance between each pair of points (-1,4) and (1,-1)
Two points are (-1, 4) and (1, -1)
To find the distance between the above two points using the distance formula:
[tex]\rm d=\sqrt{(1-(-1))^2+(-1-4)^2}[/tex]
[tex]\rm d=\sqrt{(1+1)^2+(-1-4)^2}[/tex]
The arithmetic operation can be defined as the operation in which we do the addition of numbers, subtraction, multiplication, and division
d = √[(2)² + (-5)²]
d = √(4 + 25)
d = √29 units
Thus, the distance between each pair of points (-1,4) and (1,-1) is √29 units after using the distance formula.
Learn more about the distance formula here:
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A large ice chest holds 62 liters of water. A smaller chest holds 4/5 as much water
How many liters of water does the smaller chest hoid? Move a number to each box to show the answer. HELP ASAP.
Answer:
Step-by-step explanation:
Since a large ice chest holds the water = 62 liters
And smaller chest holds the water = [tex]\frac{4}{5}[/tex] of the larger ice chest
= [tex]\frac{4}{5}\times 62[/tex]
= [tex]\frac{248}{5}[/tex] liters
Therefore, fraction that represents the amount of ice water in the smaller ice chest will have 0 in the first box, 248 in the numerator and 5 in the denominator.
[tex]0\frac{248}{5}[/tex]
Jin has 34 feet of garden fence. He wants the shape of his garden to be a rectangle 5 feet wide.
Which should be the length of Jin's garden?
O A 42 feet
OB 24 feet
O c. 12 feet
D. 6 feet
A boat traveled 70 miles in 5 hours.how far did the boat travel in one hour
Answer: 14 miles
Step-by-step explanation:
70/5 = 14
Which represents a function? A 2-column table with 5 rows. The first column is labeled x with entries negative 10, negative 5, 0, 5, 10. The second column is labeled y with entries 84, 31.5, 4, 1.5, 24. A mapping diagram shows a relation, using arrows between domain and range for the following ordered pairs: (8, negative 4), (negative 2, 10), (negative 2, negative 7). In the domain, the number 3 does not have a relation to a number in the range. A series of ordered pairs: (4, 5), (6, negative 2), (negative 5, 0), (6, 1)
Answer:
The 1st table represents a function
Step-by-step explanation:
Just trust me on this I took the quiz on edge 202 and got it right
the graph is
x | Y
--------------
-5 | -22
--------------
0 | -2
------------
3 | 10
what is the answer to 19=-3a-5
Answer:
[tex] \fbox{ \huge{ \sf{ a = - 8}}}[/tex]
Step-by-step explanation:
[tex] \bigstar{ \sf{ \: 19 = - 3a - 5}}[/tex]
[tex] \tt{Step \: 1 \: }[/tex] : Swap the sides of the equation
[tex] \longmapsto{ \sf{ - 3a - 5 = 19}}[/tex]
[tex] \tt{Step \: 2 \: }[/tex] : Move 5 to right hand side and change it's sign
[tex] \longmapsto{ \sf{ - 3a = 19 + 5}}[/tex]
[tex] \tt{Step \: 3 \: }[/tex] : Add the numbers : 19 and 5
[tex] \longmapsto{ \sf{ - 3a = 24}}[/tex]
[tex] \tt{Step \: 4 \: }[/tex] : Divide both sides by -3
[tex] \longmapsto{ \sf{ \frac{ - 3a}{ - 3} = \frac{24}{ - 3}}} [/tex]
[tex] \tt{Step \: 4}[/tex] : Calculate
[tex] \longmapsto{ \sf{a = - 8}}[/tex]
[tex] \sf ∴ \: the \: value \: of \: a \: is \: - 8.[/tex]
[tex] \sf{Hope \: I \: helped !} [/tex]
[tex] \sf{Best \: regards !!}[/tex]
~[tex] \sf{TheAnimeGirl}[/tex]
sara says. "if you subtract 14 from my number and multiply the difference by -4, the result is -80." What is Sara's number?
Answer:
34
Step-by-step explanation:
We can solve this equation by giving Sara's number a variable.
Let it be x.
Then we solve by simply interpreting the problem step by step.
"If you subtract 14 from my number..."
x - 14
"...and multiply the different by -4..."
-4(x-14)
"...the result is -80"
-4(x-14) = -80
Now that we have our equation, we can solve for x.
1.) Use distributive property to expand.
-4x + 56 = -80
2.) Subtract 56 from both sides
-4x = -136
3.) Divide by -4
x = 34
Sara's number is 34
Using distributive property to expand, it is found that Sara's number is; 34
What is distributive property?The distributive property states that an expression of the form A(B + C) can be solved by a multiplication over addition operation that is
A(B + C) = AB + AC
This property is known by distributive law and applies to subtraction also.
We need to solve this equation by giving Sara's number a variable.
Let the Sara's number a variable be x.
Then we solve by simply interpreting "If you subtract 14 from my number..." means
x - 14
Then "...and multiply the different by -4..." means -4(x-14)
"...the result is -80"
-4(x-14) = -80
Now that we have our equation,
1.) Use distributive property to expand;
-4x + 56 = -80
Subtract 56 from both sides;
-4x = -136
Now Divide by -4
x = 34
Hence, Sara's number is; 34
Learn more about distributive property here;
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The pH scale measures how acidic or basic a substance is. Lemon juice is said to have a pH of less than 4 and greater than 1.5. Model the normal range of pH values of lemon juice, using a compound inequality.
Answer:
1.5<x<4 i hope this is right sorry if its not
Step-by-step explanation:
Answer:
b
Step-by-step explanation:
Solve for h
3/7=h/14-2/7
Answer:
h =10
Step-by-step explanation:
3/7 = h/14 -2\7
3/7 = 1/14 h + -2/7
1/14 h + -2/7 = 3/7
1/14 h + -2/7 +2/7 = 3/7 + 2/7
1/14 h = 5/7
14 * ( 1/14h) = 14* (5/7)
h =10
Is x – 3 a factor of 5x5 – 3x4 + 2x2 – 9x + 12 ?
Answer:
No
Step-by-step explanation:
Answer:
see explanation
Step-by-step explanation:
If (x - 3) is a factor of the polynomial then f(3) = 0
Given
f(x) = 5[tex]x^{5}[/tex] - 3[tex]x^{4}[/tex] + 2x² - 9x + 12 , then
f(3) = 5[tex](3)^{5}[/tex] - 3[tex](3)^{4}[/tex] + 2(3)² - 9(3) + 12
= 5(243) - 3(81) + 2(9) - 27 + 12
= 1215 - 243 + 18 - 27 + 12 = 975
Since f(3) ≠ 0 then (x - 3) is not a factor of the polynomial
Construct a frequency distribution and a frequency histogram for the data set using the indicated number of classes. Describe any patterns. Number of classes: 8 Data set: Finishing times (in seconds) of 20 male participants in a 5K race
Answer and Explanation:
Number of classes = 8
Highest value =2300
Lowest value = 1250
Class width= highest value – lowest value / number of classes
= 2300 – 1250/8
= 131.25 = 132
So, we can write class as 1250+132=1382
Class frequency
1250-1382 2
1382-1514 3
1514-1646 6
1646-1778 2
1778-1910 3
1910-2042 2
2042-2174 1
2174-2306 1
help!!!!!!!! im crying over this stuid question what is the answer
Step-by-step explanation:
S (2, -3)
T (2, -1)
U (1, 0)
If b = 9, what is
[tex] \sqrt{4b} [/tex]
Answer:
= 6
Step-by-step explanation:
[tex]\sqrt{4b}\\ b = 9\\then:[/tex]
= √(4*9)
= √36
= 6
I need helppppppppp
Answer:
[tex]4^2[/tex]
Step-by-step explanation:
[tex]\frac{4^7}{4^5}=4^{7-5}=4^2[/tex]
Which best describes and corrects the error in finding the difference?
Answer:
The first answer choice.
Answer: The opposite of -12 should be added.
7 - (-12) = 7 + 12 = 19
Step-by-step explanation:
The 2 minus signs cancel out and make the 12 positive so 7 - (-12) = 19.
Help me answer
Expand 3p(p+5)
Answer:
3p² + 15p
Step-by-step explanation:
We use distributive property to distribute 3p to each of the terms:
3p · p = 3p²
3p · 5 = 15p
3p² + 15p
Hey there!☺
[tex]Answer:\boxed{3p^2+15p}[/tex]
[tex]Explanation:[/tex]
[tex]3p(p+5)[/tex]
Let's expand.
[tex]3p(p+5)\\\text{After Expanding: }3p^2+15p[/tex]
So the answer is [tex]3p^2+15p[/tex].
Hope this helps!
please hurry!! the graph of y= 2/x - 1 is shown which statement about the graph is accurate
A. the x-intercept or the graph (2, 1)
B. the graph has no y-intercepts
C. the y-intercept of the graph is (2, 0)
D. the graph has no x-intercepts
Answer:
B. The graph has no y-intercepts
Step-by-step explanation:
We see that we have vertical and horizontal asymptotes.
We also see that the right side of the graph has an x-intercept of (2, 0).
Therefore, A and D are incorrect.
We use the vertical asymptote x = 0 to get our answer B, as we will never cross the y-axis as x approaches negative and positive infinity.
Here are two five-pointed stars. A student said, “Both figures A and B are polygons. They are both composed of line segments and are two-dimensional. Neither have curves.” Do you agree with the statement? Explain your reasoning.
Answer:A
Step-by-step explanation:
Bcnitsreksbeux
Given f(x) = 2x + 1, find the range value if the domain value is 1.75.
Given:
The function is
[tex]f(x)=2x+1[/tex]
To find:
The range value if the domain value is 1.75.
Solution:
Domain is the set of input values and range is the set of output values.
Here, range value if the domain value is 1.75. It means the value of function f(x) at x=1.75.
Substitute x=1.75 in the given function.
[tex]f(1.75)=2(1.75)+1[/tex]
[tex]f(1.75)=3.5+1[/tex]
[tex]f(1.75)=4.5[/tex]
Therefore, the required range value is 4.5.
One number is twelve greater than another number. Twice the larger plus five times the smaller is 38. Find both numbers.
Answer:
I need points because i have a question
Step-by-step explanation:
And i need major help hope u understand also thanks
Tevin bought a box of 25 washers for $3.25. How much did Tevin pay per washer?
0.13 cents
So basically u need to do 3.25÷25.
please help me with these two questions ( show work plz )( it's ok if you only now one)
Answer:
1.8.09
2.-6
Step-by-step explanation:
1. 11b=89
b=89/11
8.09
2. 13+k/3=11
k/3=11-13
k/3=-2
k=-2*3
=-6
Answer:
Number 2 is - 6
Step-by-step explanation:
2. 13 + k/3 = 11
We can start off my subtracting 13 in both sides.
-13 + 13 + k/3 = 11 - 13
k/3 = -2. now we have to multiply 3 in both sides
3 x k/3 = -2 x 3
k = -6
Hope this helps!!
Last two questions guys plz answer correctly for 1 more brainliest!!!
Thanks!
:D
Just wanna say thanks to everybody to helped me through this math sheet :3
Answer:
51. 15×2=30
53. 12×6=72
please mark me as brainliast
Answer:
51.)15×2=30
53.)12×6=72
Solve the equation below 7a=56
Answer:
a=8
Step-by-step explanation:
The ratio of boys to girls in the sixth grade is 2:3
1)If there are 24 boys, how many girls are there?
2)If there are 80 students, how many are girls?
Answer:
3*16=48 girls (further explination below)
Step-by-step explanation:
80/(2+3)=16, so since 3 in the ratio is for girls, there are 3*16=48 girls.
This is my first time answering :) your welcome
How do you determine a closer approximation for the square root of 12
Answer:
look at it
Step-by-step explanation:
What does it mean when a variable equals R
Like b=R
Answer:
Step-by-step explanation:
R=r
someone please solve this 3n+9n=-2(7-4n)-(1+n)
Answer:
n= -3Step-by-step explanation:
[tex]3n+9n=-2(7-4n)-(1+n)\\\\\mathrm{Add\:similar\:elements:}\:3n+9n=12n\\\\12n=-2\left(7-4n\right)-\left(1+n\right)\\\\\mathrm{Expand\:}-2\left(7-4n\right)-\left(1+n\right):\quad 7n-15\\\\12n=7n-15\\\\\mathrm{Subtract\:}7n\mathrm{\:from\:both\:sides}\\\\12n-7n=7n-15-7n\\\\Simplify\\\\5n=-15\\\\\mathrm{Divide\:both\:sides\:by\:}5\\\\\frac{5n}{5}=\frac{-15}{5}\\\\Simplify\\\\n=-3[/tex]
Answer:
n=-3
sorry no steps
What is an equation of the line that passes through the points (-8, 0) (8,4)
Answer:
y= 1/4x + 2
or y= 0.25 x + 2
Step-by-step explanation:
Which situation can be represented by the equation x + 15 = 42?
Every bunch of bananas on a shelf has 15 bananas. If there are
42 bunches, how many bananas are on the shelf?
A gardener plants 42 plants in every row. The gardener planted
15 rows. How many plants have been planted?
Jim receives $15 for a barrel of glass bottles he collects for recycling.
If Jim received $42, how many barrels of glass bottles did Jim recycle?
If a grocer adds 15 pieces of fruit to a basket, there are now 42 pieces
in the basket. How many pieces of fruit were already in the basket?
Answer:
The last answer - If a grocery adds 15 pieces of fruit to a basket, there are now 42 pieces on the basket. How many pieces of fruit were already in the basket?
Jill made 20 muffins. She put them into 3 boxes and has two muffins left. How many are in each box if they all contain the same amount of muffins?