Answer:
The answer is
2.8 unitsStep-by-step explanation:
The distance between two points can be found by using the formula
[tex]d = \sqrt{ ({x1 - x2})^{2} + ({y1 - y2})^{2} } \\ [/tex]
where
(x1 , y1) and (x2 , y2) are the points
From the question the points are
(-3,3) and (-1,5)
The distance is
[tex]d = \sqrt{( { - 3 + 1})^{2} + ({3 - 5})^{2} } \\ = \sqrt{ ({ - 2})^{2} + ( { - 2})^{2} } \\ = \sqrt{4 + 4} \\ = \sqrt{8} \: \: \: \: \: \: \: \: \\ = 2 \sqrt{2} \: \: \: \: \: \: \\ = 2.82842[/tex]
We have the final answer as
2.8 units to the nearest tenthHope this helps you
12. Venu and Tanuj are running along a circular track. They take 48 seconds and 56 seconds to
complete a lap respectively. They begin from the starting point at the same time
6) How long does it take for them to meet at the starting point again?
How many laps will each boy have run by then?
Answer:
The meet at first time at starting point after 336 seconds,
Vanu have completed 7 laps while Tanuj has completed 6 laps.
Step-by-step explanation:
Given that Venu and Tanuj take 48 seconds and 56 seconds to
complete a lap respectively.
To meet them again at the startiong point, the time taken must be multiple of 56 and 48.
So, the minimum time required to meet them again at the startiong point is time taken for first time meet.
Time taken to first time meet is the smallest number which can be divided by 56 and 48, i.e the lowest common factor (LCM) of 56 and 48 which is 336 seconds or 5 minutes 36 seconds.
Number of laps by Venu
[tex]=\frac{336}{48}=7[/tex]
Number of laps by Tanuj
[tex]=\frac{336}{56}=6[/tex]
Divide.
-4 4/5 divided by 4
Answer:
-1 1/5
Step-by-step explanation:
Write algebraic expressions for this word phrase.
The sum of ¾ of a number and 7.
Answer:
¾x + 7
Step-by-step explanation:
"The sum of": Addition expression
"¾ of a number": ¾x
"and 7": + 7
Combine them all and you get ¾x + 7
The graph below represents the solution set of which inequality? x2 – 2x – 8 0 x2 + 2x – 8 > 0
Answer: x^2+2x-8<0
Step-by-step explanation:
A. x^2 - 2x - 8 < 0
(x - 4)(x + 2) < 0
B. x^2 + 2x - 8 < 0
(x + 4)(x - 2) < 0
C. x^2 - 2x - 8 > 0
(x - 4)(x - 2) > 0
D. x^2 + 2x - 8 > 0
(x + 4)(x - 2) > 0
When you test a point in the interval between -4 and 2, for example 0, it is negative.
[tex]x^2+2x-8 < 0[/tex] represents the given solution set.
What is known as inequality?A mathematical expression in which left hand side is not equal to right hand side is known as inequality.
The given solution set is x>-4 and x<2
Option A: [tex]x^2-2x-8 < 0[/tex]
(x+2)(x-4)<0
x<-2 and x<4
Option B: [tex]x^2+2x-8 < 0[/tex]
(x-2)(x+4)<0
x<-4 and x<2
Option C: [tex]x^2-2x-8 > 0[/tex]
(x+2)(x-4)>0
x>4 and x>-2
Option D: [tex]x^2+2x-8 > 0[/tex]
(x-2)(x+4)>0
x>-4 and x>2
Hence, [tex]x^2+2x-8 < 0[/tex] represents the given solution set.
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Question 9
A roller coaster has 4 cars, each with the same number of seats. There are 21 passengers seated in
the roller coaster, but 3 seats are empty. Write an equation that can be used to determine the
number of seats in each car.
Answer:
[tex]4n = 24[/tex]
Step-by-step explanation:
Given
[tex]Cars = 4[/tex]
[tex]Empty = 3[/tex]
[tex]Occupied = 21[/tex]
Required
Determine an equation to find number of seats
Let the number of seats in each car be represented by n;
If [tex]1\ car = n[/tex]
Then:
[tex]4\ cars = 4 * n[/tex]
[tex]4\ cars = 4 n[/tex]
This implies that there are 4n total seats
Solving further:
[tex]Occupied\ Seats + Empty\ Seats = Total[/tex]
Substitute values for the above parameters:
[tex]21 + 3 = 4n[/tex]
[tex]24 = 4n[/tex]
Reorder
[tex]4n = 24[/tex] ---- This equation can be used to solve for n
The height of a tree is 38 inches. After 4 years, the height is 9 feet 10 inches. How many inches did the tree grow each year?
The tree grows linearly, then the tree grows each year will be 20 inches.
What is the linear system?A Linear system is a system in which the degree of the variable in the equation is one. It may contain one, two, or more than two variables.
The height of a tree is 38 inches.
After 4 years, the height is 9 feet 10 inches.
1 ft = 12 inches
9 ft = 180 inches
Then 9 ft and 10 inches will be
→ 108 + 10
→ 118 inches
The tree grows in 4 years and will be
→ 118 - 38
→ 80 inches
Let the tree grows linearly, then the tree grows each year will be
→ 80 / 4
→ 20 inches
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In math i kind of need to know if a whole number is greater then a whole number and decimal.Example:7.5 and 7. Witch one is greater and how do i find out witch one is bigger
Answer:
7.5
Step-by-step explanation:
It is greater because it is closer to 8.
-12=x-1 Please help need help
Answer:
x = -11
Step-by-step explanation:
-12 = x - 1
-12 + 1 = x
x = -11
Answer:
[tex] \boxed{ \bold{ \huge{ \boxed{ \sf{x = - 11}}}}}[/tex]
Step-by-step explanation:
[tex] \bigstar{ \sf{ \: - 12 = x - 1}}[/tex]
[tex] \tt{Step \: 1 \: }[/tex] : Swap the sides of the equation
[tex] \hookrightarrow{ \sf{x - 1 = - 12}}[/tex]
[tex] \tt{Step \: 2 \: }[/tex] : Move 1 to right hand side and change it's sign
[tex] \hookrightarrow{ \sf{x = - 12 + 1}}[/tex]
[tex] \tt{Step \: 3}[/tex] : Calculate
Remember : The negative and positive integers are always subtracted but posses the sign of the bigger integer.
[tex] \hookrightarrow{ \sf{x = - 11}}[/tex]
The value of x = 11
Hope I helped!
Best regards! :D
~TheAnimeGirl
Someone please help me out with this question ASAP thank u
Answer:
Yes, it is AC.
Explanation:
There’s no other way of naming it.
Need help with this problem
Answer:
Step-by-step explanation:
2x + 1 + x + 23 = 180
3x + 24 = 180
3x = 156
x = 52
2(52) + 1 = 104 + 1 = 105
52 + 23 = 75
the ordered pair (a,b) gives the location of point P on the coordinate plane. The value of b is negative. The value of a is not 0. Where could point P be located on the coordinate plane?
Answer:
P can be located anywhere below the x-axis but not directly on the y-axis
Step-by-step explanation:
To start, "a" refers to the x coordinate for P and "b" is the y coordinate. The y axis is the vertical line on a graph and anything below the point of 0 is negative. If x can't be 0, that also means that it can't be on the y axis. So, if the x coordinate can be any number and y is negative, P can be anywhere below the x-axis and not on the y-axis (drawing a graph will help with understanding, too).
y=1/4x + 8 what would be the slope and the y-intercept
Answer:
y= 1/4x + 8
comparing with
y= mx + c
slope = 1/4
for y intercept x=0
y=8
Step-by-step explanation:
The slope of the line is 1/4, The y-intercept is 8.
In the equation y = (1/4)x + 8, the coefficient of x is 1/4. This coefficient represents the slope of the line.
Therefore, the slope of the line is 1/4.
The equation is in the form y = mx + b, where m represents the slope and b represents the y-intercept.
In this equation, the y-intercept is the value of y when x is 0. By substituting x = 0 into the equation, find the y-intercept.
y = (1/4)(0) + 8
= 0 + 8
= 8
Hence, the y-intercept is 8.
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what is good for your health
Answer:
Exercise, 8 hrs of sleep, healthy diet with lots of fruits and vegetables are all good for your health
Step-by-step explanation:
If a given area of a square is 24cm2, estimate the length of one side of the square?
Answer:
2√6cm
Step-by-step explanation:
Area = L×L
A=L2
24 =L2
√24 =√L2
2√6= L
:.L =2√6.cm.
A square sheet of paper measures 42 centimeters on each side. What is the length of the diagonal of this paper?
The perimeter of a rectangle is 22 inches. Find the dimensions if its length is 3 inches greater than its width.
Answer:
Length: 7
Width: 4
Step-by-step explanation:
We can create a system of equations for this problem, where [tex]w[/tex] is the width and [tex]l[/tex] is the length.
The perimeter of a rectangle is twice its length added to twice its width.
[tex]2l+2w=22[/tex]
The length is 3 more than the width:
[tex]l = w+3[/tex]
We can now substitute in [tex]w+3[/tex] as [tex]l[/tex] in the equation [tex]2l+2w=22[/tex].
[tex]2(w+3) + 2w = 22[/tex]
Distribute the first terms:
[tex]2w+6+2w=22[/tex]
Combine like terms:
[tex]4w+6=22[/tex]
Subtract 6 from both sides:
[tex]4w=16[/tex]
Divide both sides by 4:
[tex]w = 4[/tex]
Now we know that w = 4. We can now substitute this inside an equation to find [tex]l[/tex].
[tex]l = w+3\\\\l = 4+3\\\\l=7[/tex]
Hope this helped!
Answer:
What the other guy said XDDDDDDDDDD
Step-by-step explanation:
I'm awesome =D
how do i solve this? 12x÷100+35000minus 14x ÷100
Answer:
-2x/100 + 35
Step-by-step explanation:
Step 1:
12x ÷ 100 + 35,000 - 14x ÷ 100
Step 2:
- 2x ÷ 100 + 35,000 ÷ 100
Step 3:
- 2x ÷ 100 + 35
Answer:
- 2x/100 + 35
Hope This Helps :)
Mr. Chong celebrated his seventy fifth birthday in 1998. In what year was he born?
Answer:
1924
Step-by-step explanation:
1998
- 75
--------
1924 so he was born in 1924
SIMPLE GEOMETRY QUESTION WORTH 13 POINTS!!! EASY EARNED POINTS!!! ANSWER ASAP!
Answer:
90°
Step-by-step explanation:
If E=F, and E is the complement to F, they must both be 45 degrees.
2x45=90
180-90=90
Solve -9(t - 2) = 4(1-15).
Answer:
t = 74 / 9
Step-by-step explanation:
-9(t - 2) = 4(1 - 15)
-9t + 18 = 4 - 60
-9t + 18 = -56
-18 -18
-9t = -74
/-9 /-9
t = 74 / 9
t = 8.22
Answer:
t = 74 / 9 ~= 8.222
Step-by-step explanation:
-9 ( t - 2 ) = 4 ( 1 - 15 )
-9 * t + -9 * -2 = 4 * 1 + 4 * -15
-9t + 18 = 4 + -60
-9t + 18 = -56
-9t = -56 + -18
-9t = -74
t = 74 / 9
Alternatively:
-9 ( t - 2 ) = 4 ( 1 - 15 )
-9 * t + -9 * -2 = 4 ( - 14 )
-9t + 18 = -56
-9t = -56 + -18
-9t = -74
t = 74 /9
Cheers.
Given h(x) = -x + 1 find h(0)
Answer:
1
Step-by-step explanation:
Just replace 0 instead of x and simplify.
The required value of h(0) is 1.
What is a function?A function is defined as a relation between a set of inputs having one output each. In simple words, a function is a relationship between inputs where each input is related to exactly one output.
Now the given function is,
h(x) = -x + 1
To find the value of h(0), put x= 0 in the given equation
⇒ h(0) = -0+ 1
Since, -0+ 1= 1
∴We obtain,
h(0) = 1
which the required value of h(0).
Hence,the required value of h(0) is 1.
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What is the correct order of steps for bisecting angle ABC?
Answer: First choice. ECFBDA
Explanation:
The answer choices list either step E or step F first.
It turns out that step E must come first because we place the compass on the original angle ABC to help copy this angle.
The arc formed on angle ABC intersects the two rays as described in step E. Those two intersection points are labeled point D and point E, which is what step C describes. So C must be the next step.
Therefore the correct sequence is ECFBDA.
ECFBDA is the correct order of steps for bisecting angle ABC.
What is angle bisector?"Angle bisector is defined as the ray which divides an angle into two equal measures."
According to the question,
Rearrange the given statements in correct order of steps for angle bisector.
E. Place the compass on point B, and swing an arc that intersects rays BA and BC.
C. Place point D on the intersection of the arc on ray BA and point E on
the intersection of the arc with ray BC.
F. Place the compass on point D, and draw an arc inside the angle.
B. Keeping the compass the same distance , place the compass on point
E. draw an arc inside the angle.
D. Place point F on the intersection of the arcs created from points D
and E.
A. Draw a ray from point B through point F.
Hence, ECFBDA is the correct order of steps for bisecting angle ABC.
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What is the area of the arrow shown?
16 In
2 in.
DI
6 in
20 in
HELP ME PLEASE
Answer:
44 in
Step-by-step explanation:
Simplify 4 over quantity 2 plus 7 i
Answer:
(8-28i)/53
hope it helps!
Step-by-step explanation:
What type of angles are ECH and FCG?
ECH is an acute angle.
FCG is also an acute angle.
Answer:
Vertical angles
Step-by-step explanation:
Vertical angles are angles formed by two intersecting lines, which the angles are facing the opposite direction. Also the angles are on the same vertice (point).
Your friend has owned a dog for 35 weeks. This is five weeks less than twice as long as he has owned a cat. How long has your friend owned a cat? .
Answer:
20 weeks
Step-by-step explanation:
35+5=40
40/2=20
Lyle wants to build a rectangular dog pen with a length that is 12 feet more than the width. Lyle can afford no more than 560 feet of fence. Write
an inequality to show that the perimeter of the dog pen can be no more than 560 feet.
2 (12 + w) + 2w < 560
(12 + 2) + w < 560
o 2(12 + w) + 2w< 560
0 (12+w) + w < 560
Answer:
2(2W+12) < 560
Step-by-step explanation:
Perimeter of a rectangular dog pen P = 2(L+W) where;
L is the length of the dog pen
W is the width of the dog pen
If Lyle wants to build a rectangular dog pen with a length that is 12 feet more than the width, then L = W+12
If Lyle can afford no more than 560 feet of fence, this means that the perimeter cannot be more than 560feet i.e P<560
The inequality to show that the perimeter of the dog pen can be no more than 560 feet is expressed as P < 2(L+W)
Substituting the given parameters;
2([W+12]+W)<560
2(2W+12)<560
Hence the inequality to show that the perimeter of the dog pen can be no more than 560 feet is 2(2W+12)<560
what is the quotient of 3\4 and 5\6
Answer:
9/10
Step-by-step explanation:
Using a spinner, conduct an experiment to compare experimental probability with theoretical probability.
The probability of an event is a number from 0 to 1 that measures the chance that an event will occur. In this lesson, we will look into experimental probability and theoretical probability.
The following table highlights the difference between Experimental Probability and Theoretical Probability. Scroll down the page for more examples and solutions.
he following table highlights the difference between Experimental Probability and Theoretical Probability. Scroll down the page for more examples and solutions.
Experimental vs Theoretical Probability
How to find the Experimental Probability of an event?
Step 1: Conduct an experiment and record the number of times the event occurs and the number of times the activity is performed.
Step 2: Divide the two numbers to obtain the Experimental Probability
How to find the Theoretical Probability of an event?
The Theoretical Probability of an event is the number of ways the event can occur (favorable outcomes) divided by the number of total outcomes.
1. Determine the 20th term of the sequence
1, 4, 7, ...
Explicit
Find the 20th term