Answer:
x = 5.
Step-by-step explanation:
The area of a rectangle can be determined by the following formula.
A = l ⋅ w
l stands for length or the longer side.
w stands for width or the shorter side.
Now, we can plug the values we are given into the equation.
A = ( x − 2 ) ⋅ ( x + 8 )
The easiest way to multiply is to follow the acronym FOIL , which stands for First Outside Inside Last, and dictates the order in which you multiply these terms.
A = x 2 + 8 x − 2 x −16 = x 2 + 6 x − 16
Now, we can plug in the given value for the area.
39 = x 2 + 6 x − 16
Next, we simplify by moving all terms to one side and factor the equation.
0 = x 2 + 6 x − 55
Finally, we factor the equation. This means we reverse-FOIL, trying to determine the two things that we multiplied together.
0= ( x − 5 ) ⋅ ( x + 11 )
If the equation ultimately equals zero, either ( x − 5 ) or ( x + 11 ) or both equal zero. Therefore, we set each equal to zero to find the value of
x .
x − 5 = 0 x = 5 x + 11 = 0
x = − 11
Since x is a length, we know it cannot be negative. Thus, we can conclude that it equals 5.
The locus of points in a plane 3 units from the line y = 1
Answer:
Option B, 2 parallel lines
Step-by-step explanation:
Complete question
The locus of points in a plane 3 units from the line y = 1
A ray
B. 2 parallel lines
C. circle
D. plane
Solution
A group of points whose location is determined by more than one or at least one specified condition is called a locus. Locus of a line could be a set of points that form a line or a surface satisfying the condition of line in the plane.
Hence, option B is correct
If A(x1, y1), B(x2, y2), (X3, Y3), and D(xx,ya) form two line segments, AB and CD, which condition needs to be met to prove AB ICD? ОА У4 -У, У, -у, - X4 - X X - X OB. 74-Y3 + X4-X = 0 V₂ - X, X - X, oc Yo-Yay 72-Y1--1 x - x x - X, OD. 12-y, *- X, = 1 x₂ - X, Yo-Y OE Y:-72. X.-X2-0 Y₂-X, X - X,
Answer:
The answer is option C..........
To prove that AB is parallel to CD, we need to show that the slope of AB is equal to the slope of CD.
What is line segment?A line segment is a section of a line with two endpoints. A line segment, unlike a line, has a fixed length.
To demonstrate that AB is parallel to CD, we must show that the slope of AB equals the slope of CD.
The slope of AB can be calculated using the formula:
mAB = (y2 - y1) / (x2 - x1)
Similarly, the slope of CD can be calculated using the formula:
mCD = (ya - Y3) / (xx - X3)
If mAB = mCD, then AB is parallel to CD.
Therefore, the condition that needs to be met to prove AB is parallel to CD is: (y2 - y1) / (x2 - x1) = (ya - Y3) / (xx - X3)
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Complete the missing value in the solution to the equation.y=-2x+4
Write an inequality for the sentence below and then solve and check it. The sum of w and nine is less than 18
Answer:
w < 9
Step-by-step explanation:
w + 9 < 18
To solve this inequality, we MUST get the w by itself
Subtraction Property of Equality w + 9 - 9 < 18 - 9
Answer w < 9
What is the median of the data set?
73, 20, 63, 23, 20, 40, 67
Answer:
40
Step-by-step explanation:
if you line the numbers up like so you will see the number in the middle is 40
aka the median
20,20,23,40,63,67,73
Can someone please do my math work I am gonna lose my permit soon and my mom just passed and I'm struggling
To reach her summer reading goal, Elisa has to read at least 30 books. The inequality b ≥ 30 represents the number of books she needs to read. Which of the following is the solution to this inequality?
Answer:
hii
have a good day for you!
The number of copies made each week by teachers at Lamley High School follows a bell-shaped distribution with a
mean of 550 copies and a standard deviation of 185 copies. Mr. Thomas made 782 copies last week. His Z-score is
1.25. Which of the following statements best interprets this value?
O Mr. Thomas made 125 more copies, on average, than the mean number of copies of teachers at Lamley High
School.
O The number of copies Mr. Thomas made is 1.25 standard deviations less than the mean number of copies of
teachers at Lamley High School.
O The number of copies Mr. Thomas made is 1.25 standard deviations more than the mean number of copies of
teachers at Lamley High School.
O The number of copies Mr. Thomas made is 1.25 standard deviations less than the median number of copies of
teachers at Lamley High School.
O The number of copies Mr. Thomas made is 1.25 standard deviations more than the median number of copies of
teachers at Lamley High School.
Answer:
3. The number of copies he made is 1.25 standard deviations more than the mean number of copies made by teachers.
Step-by-step explanation:
In statistics, a z-score is measurement that describes a value's relationship to the mean and allows us to compare the value and the mean. It tells us how many standard deviations above or below the population mean.
Mr. Thomas has a z-score of 1.25.
He made 782 copies last week. The statistic this is being compared to is the mean of 550 copies by teachers per week at Lamley High School.
Therefore, the best interpretation is Mr. Thomas made 1.25 standard deviations more than the mean number of copies. The correct answer is choice 3.
Let's make sure the other choices are incorrect.
The first answer is incorrect because a z-score doesn't compare the exact values, but uses the standard deviation to compare. The second answer is incorrect because he made 782 copies, while the mean was 550. He made more copies, plus the z-score is positive. The fourth and fifth answers are incorrect because the z-score doesn't use the median to compare.⚠️URGENT PLEASEEEEE HELP!!!
Find the m
Answer
It is 112
Step-by-step explanation:
John painted 10 walls in 2 hours. Write an equation comparing walls
painted to hours. Explain why John can use this equation to find the
number of walls he could paint in one hour. Then solve.
PLEASE HELP................................!
Answer:
-6 and -4 only
Step-by-step explanation:
Name the song that goes with these lyrics
1. I was rocking off white tryna have a fun time she gone eat like lunch time molly got her on time
2. Im a first class baby u in last baby im a 90's baby but i cook that shi from the 80's
3. I know i have a purpose but ion see the purpose they tell me the death of me gone be the perkys i know the lace the ills i bought them on purpose lifes unreal when deaths uncertain
Answer:
1. I'll Be Fine - Juice Wrld
2. ON GOD - Juice Wrld
3. Rich and Blind - Juice Wrld
find the value of x
please
Answer:
x = 51
Step-by-step explanation:
These angles equal each other because they're vertical angles so:
2x + 8 = 110
2x = 110 - 8
2x = 102
x = 51
Find missing side lengths
Answer:
[tex]y=30\sqrt{2}[/tex]
Step-by-step explanation:
[tex]In[/tex]Δ[tex]ABC[/tex]
[tex]tan45=AB/BC[/tex]
[tex]1=30/BC[/tex] [tex][tan45=1][/tex]
[tex]-------\\BC=30 \\-------[/tex] ⇒ [tex]OC=30\\[/tex]
[tex]and[/tex] [tex]In[/tex] Δ[tex]ABC[/tex]
[tex]Cos45=Bc/AC[/tex]
[tex]1/\sqrt{2} =x/y[/tex]
[tex]y=\sqrt{2}*x[/tex]
[tex]y=30\sqrt{2}[/tex]
------------------
hope it helps....
have a great day!!
The graph shows the distance traveled by an Olympic-level sprinter over time during a race.
Find the slope of the line, and complete the sentences below.
100 meter race graph of a diagonal line on a coordinate plane going up and to the right with Time in seconds on the x axis and Distance in meters on the y axis. The line begins at the origin and passes through the point 2 comma 20.
9514 1404 393
Answer:
slope: 10 m/srepresents speed in meters per secondStep-by-step explanation:
The slope is the change in the quantity on the vertical scale, divided by the corresponding change in the quantity on the horizontal scale.
Here, the line goes from 0 to 100 meters on the vertical scale, corresponding to a change from 0 to 10 seconds on the horizontal scale. So, the slope is ...
m = (100 m)/(10 s) = 10 m/s . . . . slope of the line
The ratio of distance to time is given the name "speed", so ...
the slope represents the sprinter's speed in meters per second.
According to the scatter plot shown, what approximate income should a 24-year old have?
Income
45,000
40.000
35,000
30,000
25.000
20,000
15,000
10,000
5,000
O
16 18 20 22 24 26 28 30 32
Age
$35,000
$25,000
$20,000
$30,000
Answer:
25,000
Step-by-step explanation:
Help if you can :)
Also, show work!
Plz dont add any type of link
thxx <3
PLEASE HELPP ASAPPP will mark brainlist
Answer:
I think this is the answer for the second question.
Which expression is equivalent to (4 + 3i) - (8 - 61)?
A -4 -3i
O
B. –4 +9i
C. 12 + 9i
D. 12 - 31
Answer:
Its C
Step-by-step explanation:
Out of 140 students, 92 are taking an English course, 74 are taking a history course and 41 are taking both. Find the number of these 140 students who are taking a history course but not an English course?
Answer:18
Step-by-step explanation:
Answer:
33
Step-by-step explanation:
you have to subtract the number of people doing both from the number of people doing just the history.
Here is the equation help
Answer: this might help I’m not sure
Step-by-step explanation:
Answer:
5m+3m=8m
simplified
Step-by-step explanation:
combine all m's together 5m's +3m's =8m's
(☆▽☆)
Hey i need help with this
Answer:
The x-intercepts are 1 and 3
The y-intercept is 3
The vertex is (2,-1)
The line of symmetry is x=2
Step-by-step explanation:
To find the x-intercepts, find where the graph intersects the x-axis, or the horizontal line. To find the y-intercept, find where the graph intersects the y-axis, or the vertical line. To find the vertex, find the coordinate where the graph is at its lowest point (or highest if it is flipped upside down). To find the line of symmetry, simple use the x-coordinate of the vertex and say x= (the x-coordinate)
WILL GIVE BRAINLEIST TO WHOEVER SOLVES THIS THANK YOU.
Answer:
5749234
Step-by-step explanation:
Answer:A squre = c square = B square
Step-by-step explanation:
Give me Brainleist plz
Select the correct graph.
Which graph represents function f?
Answer: top right graph
Step-by-step explanation: Put in calculator and you will find the answer
what is 8x9-6+7(5-4x8)
Answer:
8 x 9 − 28 x 8 + 29
Step-by-step explanation:
A sequence can be generated by using an=12an−1, where n is a whole number greater than or equal to 1.
Given a9=12, what is a10?
5
6
13
24
Answer:
8, 11, 14, 17
Step-by-step explanation:
For example,
Given: an=2an−1−xan=2an−1−x
a5=99a5=99
a3=27a3=27
a5=2a4−x=2(2a3−x)−x=4a3−3x=99a5=2a4−x=2(2a3−x)−x=4a3−3x=99
4(27)−3x=994(27)−3x=993x=108−99=93x=108−99=9
x=3x=3
i neeed help please i did not understand it
Answer:
[tex]15.71cm[/tex]
Step-by-step explanation:
[tex]10 \: \: years = 3.142 \\ 50 \: years = x \\ \\ 10 = 3.142 \\ 50 = x \\ cross \: \: multiply \\ 10x = 50 \times 3.142 \\ 10x = 157.1 \\ x = 15.71cm[/tex]
hope this helps you
can I have the brainliest please?
A die with 8 sides is rolled. What is the probability of rolling a number less than 3
Answer: 6/8
simplify by 2 and you get 3/4 your answer is 3/4
Step-by-step explanation:
The variable k represents a value in the set {-2-4-6-8}. which value of k makes 4 (1.5-k)-10=56/2 a true statement A.-2 B. -4 C. -6 D.-8
Question: The variable k represents a value in the set {-2,-4,-6,-8}. Which value of k make 4(1.5-k)-10=56/2 a true statement?
Step-by-step explanation:
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As inflation increases, it causes the money you earn today to have _____. less value in the future more purchasing power in the future no purchasing power effect in the future more value in the future
Answer:
This answer is A
Step-by-step explanation:
your welcome, im fast to answer
Answer:
the answer is a
Step-by-step explanation: