Answer:
a) Equation of the line [tex]y +1 = \frac{5}{6} (x - 2)[/tex]
b) Equation of the line y + 1 = 0.833 ( x-2)
Step-by-step explanation:
Explanation:-
Given points are ( 2,-1) and (8 ,4)
Slope of the line
[tex]m = \frac{y_{2} - y_{1} }{x_{2} - x_{1} }[/tex]
[tex]m = \frac{4- (-1) }{8-2 } = \frac{5}{6}[/tex]
Point - slope form
y - y₁ = m ( x - x₁)
y - (-1) = 5 /6 ( x-2)
6 ( y +1) = 5 (x -2)
a) Equation of the line [tex]y +1 = \frac{5}{6} (x - 2)[/tex]
b) Equation of the line y + 1 = 0.833 ( x-2)
Two trucks started toward each other at the same time from towns 500 km apart. One truck traveled at a rate of 65 km
per hour while the other traveled at 60 km per hour. After how many hours did they meet?
А
If x represents the number of hours, which of the following equations could be used to solve the problem?
Answer: 4 hrs
Step-by-step explanation: D=RT
500=(65+60)T
500=125T
T=500/125
T=4 HOURS THEY'L MEET.
Please help. I need to figure out how these two triangles are similar
Answer:
3.
Step-by-step explanation:
Segment AB falls on line 2x − 4y = 8. Segment CD falls on line 4x + 2y = 8. What is true about segments AB and CD?
They are perpendicular because they have the same slope of −2.
They are perpendicular because they have slopes that are opposite reciprocals of −2 and .
They are lines that lie exactly on top of one another because they have the same slope and the same y-intercept.
They are lines that lie exactly on top of one another because they have the same slope and a different y-intercept.
Answer:
They are perpendicular because they have slopes that are opposite reciprocals of −2 and .Step-by-step explanation:
The given lines are
[tex]2x-4y=8[/tex]
[tex]4x+2y=8[/tex]
Let's rewrite each equation in the form [tex]y=mx+b[/tex]
[tex]2x-4y=8\\2x-8=+4y\\y=\frac{2x-8}{4} \\y=\frac{x}{2}-2[/tex]
[tex]4x+2y=8\\2y=8-4x\\y=\frac{8-4x}{2}\\ y=4-2x[/tex]
Now, let's use the perpendicular rule
[tex]m_{1} \times m_{2} =-1\\\frac{1}{2} \times (-2)=-1 \implies -1=-1[/tex]
As you can observe, the slopes satisfy the perpendicular rule, that means the lines are perpendicular.
Therefore, the right answer is the second choice because it states the rule of perpendicularity between the given lines.
Answer:
They are perpendicular because they have slopes that are opposite reciprocals of −2 and .
Step-by-step explanation:
I took the test and the dot is 1/2
ANSWER QUICK PLEASE WILL MARK BRAINLIEST!!!!!!
Answer: A is correct
Step-by-step explanation:
They’re the only lines perfectly parallel, I got this correct
Answer:
A is the correct answer
Step-by-step explanation:
which two functions are inverses of each other
Answer:
f(x) = 4x, g(x) = [tex]\frac{1}{4}x[/tex]
Step-by-step explanation:
Inverse function is when you switch the x and the y and solve for x
f(x) = 4x
y = 4x
x = 4y
Now solve for x
y = [tex]\frac{1}{4}x[/tex]
g(x) = [tex]\frac{1}{4}x[/tex]
If you try that with the other functions, none of them work.
Answer:
C. f(x)= 4x, g(x)= 1/4x
Step-by-step explanation:
inverse functions are flipping x and y corrdinates so let's plug in x=1 into f(x) and get y = 4
now plug in x = 4 into g(x) and check if the answer is 1 - yes ,it is!
HELP ASAP I WILL GIVE YOU THE POINTS !!!!
What is the area of this polygon?
Enter your answer in the box.
Answer:
can you put the picture of the question
Step-by-step explanation:
sub to pewdiepie
The ratio of the number of sheep to the number of horses on a farm is 8:3. If there are 42 horses on the farm, how many sheep are on the farm?
Answer:
112
Step-by-step explanation:
8:3
?:42
do 42 divided by 3 which is 14
so 14 times 8 which is 112
hope this helps
If a boy 5 feet tall casts a shadow 14 feet long, what will be the length of the shadow of a tree that is 25 feet high?
Answer:
70 feet
Step-by-step explanation:
This problem can be answered by using proportions based on similar triangles.
Notice that a person and its shadow on the ground form a right angle (therefore they can be considered the two "legs" of a right angle triangle)
The same runs for the tree and its shadow.
Since the inclination of the rays of the sun are the same at the same time for both objects (the boy and the tree), their hypothenuses form the same angles with the ground and therefore belong to similar triangles.
We can create the following proportion to solve for the shadow of the tree (ST) using the information provided: the height of the boy (HB), the shadow of the boy (SB), and the height of the tree (HT)
[tex]\frac{SB}{HB} =\frac{ST}{HT}\\\frac{14}{5} =\frac{ST}{25}\\\frac{ST}{25}=\frac{14}{5} \\ST=\frac{14*25}{5}\\ST=70\,\,ft[/tex]
Which of the following values of x is a solution to the equation 5(x-2)+7=37?
Answer:
x = 8
Step-by-step explanation:
5x - 10 + 7 = 37
5x - 3 = 37
5x = 40
x = 8
Five people were eating apples, A finished before B, but behind C. D finished before E, but behind B. What was the finishing order?
Answer:
cdb
Step-by-step explanation:
Answer:
A
C
D
B
E
Step-by-step explanation:
Hope that helps
Solve the equation, 2x + 1 = 3, for x. Which of the following properties of equality did you apply? Question 11 options: A) Addition and division B) Addition and multiplication C) Subtraction and multiplication D) Subtraction and division
Answer:
D
Step-by-step explanation:
2x+1=3
-1 on both sides: 2x=2, then divide by two. You get x=1
For this you would use D, subtraction and division
Answer:
x = 1
D) Subtraction and Division
Step-by-step explanation:
2x + 1 = 3
(2x + 1) - 1) = (3) - 1 ←
2x = 2
(2x)/2 = (2)/2 ←
x = 1
In the places where I put the arrows is where I applied the properties. I used subtraction and division to solve.
The line plots show the number of minutes two different age groups of teenagers spent online the previous week.
Select from the drop-down menus to complete each statement.
1) The range is _______.
a) is greater for data set one (13-15-year-olds)
b) is greater for data set two (16 to 18-year-olds)
c) is the same for both sets of data
2) The mean _________.
a) is the same for both sets of data
b) is greater for data set one (13-15-year-olds)
c) is greater for data set two (16 to 18-year-olds)
Answer:
Step-by-step explanation:
13-15 year olds:
Range: 13
Mean: 27.4
16-18 year olds:
Range:24
Mean: 28.05
Therefore,
1) the range is greater for set two
2) the mean is greater for set two as well
Answer:
1. B
2. C
Step-by-step explanation:
plz help with this question
Simplify 8x^4/x^3+7x^4 and Find the excluded values
So first what we do is we need to get the excluded values. So to get them we have: 8x^4/x^3+7x^4.
Lets factor out the second part. x^3+7x^4 = (x^(3/4)+7x))^4
So then we get 8x^4/(x^(3/4)+7x)^4
8x^4/(x^(3/4)+7x)^4
Work this out for me
Answer:
x = 129
Step-by-step explanation:
x and 51 are same- side exterior angles and supplementary, thus
x = 180 - 51 = 129
Answer:
19degree I think
Step-by-step explanation:
the sum of each angle on the straight line is 180 degree so if you want to find x you needed to subtract 180degree-51 degree then you will get the answer
In the story “My Wonder Horse”, what key words and phrases does the author use to contrast the “legend” with the actual horse?
Answer:
what is the math?
Step-by-step explanation:
Please someone help me
Answer:
92.4 m^2
Step-by-step explanation:
Area of Trapezoid: h(b1+b2)/2
6.6 (14.2 + 7.6 + 6.2) / 2
= 6.6 (28) / 2
= 184.8/2
= 92.4 m^2
Find the measure of each missing angle
Answer:
See below;
Step-by-step explanation:
Consider the steps below;
[tex]1. Measure of Angle 1 - m< 1 + m< 2 = 180, ( Considering They Form A Linear Pair ) m< 1 + ( 145 ) = 180,\\m< 1 = 35 degrees\\\\2. Measure of Angle 2 - m< 2 = m< 4, ( Considering They Are Vertical Angles ),\\m< 2 = 145 degrees\\\\3. Measure of Angle 3 - m< 3 = m< 1, ( Vertical Angles ),\\m< 3 = 35 degrees\\\\4. By Alternate Interior Angles Theorem - m< 5 = m< 3,\\m< 5 = 35 degrees\\\\5. By Vertical Angles Theorem - m< 6 = m< 4,\\m< 6 = 145 degree\\\\[/tex]
[tex]\\\\\\6. By Corresponding Angles Theorem - m< 7 = m< 3,\\m< 7 = 35 degrees,\\\\7. By Corresponding Angles Theorem - m< 8 = m< 4,\\m< 8 = 145 degrees[/tex]
Thus, we derive such a solution;
m∠ 1 = 35°, m∠ 2 = 145°, m∠ 3 = 35° , m∠ 5 = 35° , m∠ 6 = 145° , m∠ 7 = 35° , m∠ 8 = 145°
I dont know the question to this What is 6÷1/7
Answer:
42
Step-by-step explanation:
6÷(1/7) equals forty two.
Solution,
6/1/7
=6*7/1
=42
Hope it helps
Good luck on your assignment
Examine the diagram.
A triangle has angles A, 60 degrees, 55 degrees. A line is at the top of the triangle and forms angles B, C, and 65 degrees. Angle C is opposite to angle with measure 60 degrees.
The diagram shows parallel lines cut by two transversal lines creating a triangle. Which statement can be made from the diagram?
mAngleB + mAngleC + 55° = 180°
mAngleA + 60° + 55° = 180°
mAngleC = 55°
mAngleA = 55°
Answer:
mAngleA + 60° + 55° = 180°Step-by-step explanation:
As two angles of the triangle are 60° and 55°, the measure of ∠A is:
180° - (60° + 55°) = 65°So the angles C and B measure 60° and 55°.
∠C is opposite to 60°, so is 60° as well, therefore m∠B = 55°
Statements:
mAngleB + mAngleC + 55° = 180°
Incorrect, it gives 170°mAngleA + 60° + 55° = 180°
Correct as mAngleA is 65°mAngleC = 55°
Incorrect, it is 60°mAngleA = 55°
Incorrect, it is 65°Answer: its b
Step-by-step explanation: on edge.
Help a homie w an extra chromi out
Answer:
(2a + 1)
----------------
(2 - a^2)
Step-by-step explanation:
(2 + 1/a)
----------------
(2/a - a)
Multiply by a/a
(2 + 1/a) *a
----------------
(2/a - a) *a
(2a + 1)
----------------
(2 - a^2)
Click an item in the list or group of pictures at the bottom of the problem and, holding the button down, drag it into the correct position in the answer box. Release your mouse button when the item is place. If you change your mind, drag the item to the trashcan. Click the trashcan to clear all your answers.
Express in simplified exponential notation.
x3 • x5 =
.
Answer:
[tex]x^8[/tex]
Step-by-step explanation:
Given the expression: [tex]x^3 \cdot x^5[/tex]
We are required to express it in simplified exponential notation.
We apply the addition law of indices below.
Given two expressions [tex]a^x$ and a^y[/tex] with same base a, then: [tex]a^x \cdot a^y=a^{x+y}[/tex]
Therefore:
[tex]x^3 \cdot x^5\\=x^{3+5}\\=x^8[/tex]
Racquetballs are sealed in a pressurized container to maintain the rebound percentage
of the balls. A racquetball has a rebound percentage of 83% when it is taken out of the
pressurized can. Suppose a racquetball is dropped from a height of 3 meters onto a
racquetball court. Use the rebound rate given to predict the height of the ball after the
first 5 bounces
Answer:
1.182 meters.
Step-by-step explanation:
We have that the initial height is 3 meters, we know that after each rebound it recovers 83% of the original height, therefore:
First bounce:
3 * 0.83 = 2.49
Second bounce:
2.49 * 0.83 = 2.0667
We can deduce a formula here:
hn = 3 * (0.83) ^ n
where is the bounce number, we know that the bounce number that we want to find the height is 5, therefore:
h5 = 3 * (0.83) ^ 5
h5 = 1.182
which means that at the fifth bounce, the height is 1.182 meters.
What is the probability that this spinner lands on an even number? Select both the fraction and the percentage
1/2
30%
40%
3/10
50%
10%
4/10
1/10
Answer:
1/2 and 50%
Step-by-step explanation:
5/10 is equal to 1/2 and 50%
Find the sum of the measures of the interior angles of a polygon having ten sides
Answer:
1440°
Step-by-step explanation:
Formula for sum of the measures of the interior angles of a polygon is given as:
[tex] (n-2)\times 180°\\
= (10-2)\times 180°..(plug\: n = 10)\\
= 8\times 180°\\
= 1440°
[/tex]
PLS HURRY IM BEING TIMED!!! which graph shows a positive slope?
Answer:
The bottom left one
Step-by-step explanation:
it has a positive slope
Answer:
I’m pretty sure it’s the bottom left corner one
Step-by-step explanation:
The line increases from left to right, so it has a positive slope
Is this correct or not i need to knowww :(
Answer:
Step-by-step explanation:
That one is a hard one, I dunno tho
Answer:
Yes, the equation selected is correct :)
Explanation:
This might look kinda complicated, but the black line is your answer & the green points are from the table. The black line is the closest to all the points and has a slope that keeps it with the trend of the table.
solve for 5/8= x-1/9
Answer:
[tex] \dfrac{53}{8} [/tex]
Step-by-step explanation:
[tex] \dfrac{5}{8} = \dfrac{x - 1}{9} [/tex]
Cross multiply.
[tex]8(x - 1) = 9 \times 5[/tex]
[tex] 8x - 8 = 45 [/tex]
[tex] 8x = 53 [/tex]
[tex] x = \dfrac{53}{8} [/tex]
Answer: x = 53/8
Step-by-step explanation:
5/8 = x-1 / 9
45 = 8(x-1)
45 = 8x - 8
-8x = -8 - 45
x = 53/8
What is the equation of a line that goes through the points (-5, 1) and (-4. 6 points
3)?
please help! math asap
Answer: y=3/5x-4
Step-by-step explanation:
the slope is rise/run
the y intercept is where the line meets the y axis
