Answer:
x=-10,8
length=13
width=5
Step-by-step explanation:
(x+5)(x-3)=65
x^2+2x-15-65=0
x^2+2x-80=0
(x+10)(x-8)=0
x=-10,8
x+5
(-10)+5=-5, negative length does not make sense
x+5
8+5=13
x-3
(-10)-3=-13, negative width does not make sense
x-3
(8)-3=5
Answer:
x=8
length= 13inches
width=5inches
Step by step explanation:
A=lw
65= (x+5)(x-3)
65= x²-3x+5x-15
x²+2x-80=0
x²+ 10x - 8x - 80 = 0
x(x+10) -8(x+10) = 0
(x-8)(x+10)=0
x= 8 or -10
x cannot be negative
hence x= 8
length= x+5
=8+5
=13inches
width= x-3
=8-3
=5inches
At what point(s) does the parabola,
y
=
x
2
−
2
, intersect the line,
y
=
−
x
Answer:
Please check the formatting when posting. I'm assuming these are the equations:
y=x^2 - 2
y=−x
Step-by-step explanation:
We can either graph the equations or solve them. I use graphing - see the attachment. The lines intersect at (-2, 2) and (1,-1)
1. Graphing
See attached graph
(-2, 2) and (1,-1) are the intersection points
2. Solving
y=x^2 - 2 Use y=−x in this equation:
-x = x^2 - 2
0 = x^2 + x - 2
0 = (x+2)(x-1)
x = -2 and +1
(-2, 2) and (1,-1) are the intersection points
(9,11)(9,3) find the slope and explain
please
Answer:
0
Step-by-step explanation:
y2-y1/x2-x1
11-3/9-9
8/0
0
slope=0
A large tank was filled with water at a constant rate. The time and amount were recorded in the table.
Complete the table below to show how many gallons of water are in the tank after 335 and 405 minutes?
Time (minutes) 5 110 215 260 335 405
Amount (gallons) 1 22 43 52
Answer:
67 gallons at 335 minutes
81 gallons at 405 minutes
Step-by-step explanation:
I plotted the points and determined they form a straight line, with a slope of 3 and a y-intercept of 0.
In the form of y=mx+b,
this fill behavior can be represented as y = (1/5)x + 0, or y = (1/5)x
y is the volume in gallons and x is the time in minutes. The slope, (1/5), is the rate of filling the tank, in gallons/minute.
The solutions for 335 and 405 minutes may be found either by marking them on the graph (attached), of by simple calculation:
At 335 minutes, y = (1/5)(335), or 67 gallons
At 405 minutes, y = (1/5)(405) = 81 gallons
What’s the answer?? I need asap!
Answer:
120°
Step-by-step explanation:
Opposite angles in a cross of 2 lines like this are equal;
A = 120 and B = D = 60°
Answer:
∠ A = 120°
Step-by-step explanation:
∠ A and 120° are vertically opposite angles and are congruent , so
∠ A = 120°
#1: Find the value of X. (GEOMETRY)
I will give brainliest to BEST answer! fake answers will be reported.
refer to attachment!
Answer:
x = 14
Step-by-step explanation:
1. We know that all angle measures in a triangle sum to 180 degrees.
This means that 7x - 11 + 5x - 2 + 2x - 3 = 180.2. (Solving)
Step 1: Combine like terms.
[tex](7x+5x+2x)+(-11-2-3)=180[/tex] [tex]14x -16 = 180[/tex]Step 2: Add 16 to both sides.
[tex]14x - 16 + 16 = 180 + 16[/tex] [tex]14x = 196[/tex]Step 3: Divide both sides by 14.
[tex]\frac{14x}{14}=\frac{196}{14}[/tex] [tex]x = 14[/tex]Step 2: Check if solution is correct.
[tex]7(14)-11+5(14)-2+2(14)-3=180[/tex] [tex]98-11+70-2+28-3=180[/tex] [tex]180=180[/tex]Therefore, the answer is x = 14.
The following are the ages of 13 mathematics teachers in a school district.
29, 30, 32, 38, 39, 43, 43, 44, 45, 46, 46, 57, 60
Notice that the ages are ordered from least to greatest.
Give the five-number summary and the interquartile range for the data set.
Five-number summary
Minimum:
a
Lower quartile:
Median:
0
Upper quartile:
Maximum:
Interquartile range:
Answer:
Minimum: 29
Lower Quartile: 35
Median: 43
Upper Quartile: 46
Maximum: 60
Interquartile Range: 11
Step-by-step explanation:
Find the value of x?
Answer:
145°
Step-by-step explanation:
See the attachment. Angles A, B, and C all belong to the triangle.
We know that A + B + C = 180° since the angles of a triangle always add to 180°. We also know that when two lines meet that their sum is also equal to 180°. So we can write for each interior angle the following:
Result
<A = (180 - 88) 72
<B = (180-x) 180-x
<C = (180 - 127) 53
The sum of angles A, B, and C is equal to 180:
72 + (180-x) + 53 = 180
x = 145Write an equation in the form
Y = mx +b to represent the line on each
graphy
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IT
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3
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given a1 = -1 and a4 = -8 what is a10
Answer:
The nth term of the sequence is given. Find the first 4 terms, a10, and a15 2 What is the first term? a1 = (Type an integer or a simplified fraction.) What is the second term? a2 = (Type an integer or a simplified fraction.) What is the third term? a,-| (Type an integer or a simplified fraction.) What is the fourth term? a4(Type an integer or a simplified fraction.) What is the tenth term❤
If I make 2,500 dollars a minute.How much money will I make in 8 hours?
Answer:
1200000
Step-by-step explanation:
First, convert the 8 hours into minutes 8 hours * 60 minutes = 480 minutes
Then just do 2500 dollars * 480 minutes = 1200000
Answer:
$1,200,000
Step-by-step explanation:
We 1st multiply 2,500 by 60 due to 60 minutes being in 1 hour and get 150,000
We now know that in 1 hour you make 150,000 and to find out how much you make in 8 we then multiply 150,000 by 8 which equals $1,200,000.
I hope this helps have a great day and happy holidays :)
Is the sequence {4, 7, 10, 13, 16, ...} a function? Explain.
a
Yes, because each input is a natural number with multiple output numbers in the sequence
b
Yes, because each input is a natural number with a single output number in the sequence
c
No, because there are no input values paired with a single output number in the sequence
d
No, because there are multiple input values paired with a single output number in the sequence
Step-by-step explanation:
tricky, as the sequence does not define the input values.
by we can assume that the corresponding input values are 1, 2, 3, 4, 5, ... as it is usual for a sequence.
in that sense, b is the correct answer.
The sequence is a function because each input is a natural number with a single output number in the sequence.
What is arithmetic progression?The difference between any two consecutive integers in an arithmetic progression (AP) sequence of numbers is always the same amount. It also goes by the name Arithmetic Sequence.
Given the sequence {4, 7, 10, 13, 16, ...},
Given that each term has a common difference, this is an arithmetic sequence. In this instance, the next item in the sequence is obtained by multiplying the previous term by 3.
a₂ - a₁ = 7 - 4 = 3
a₃ - a₂ = 10 - 7 = 3
the difference in output is the same for all the numbers in sequence.
Hence the sequence is the function of the Arithmetic Sequence.
Learn more about arithmetic progression;
https://brainly.com/question/16947807
#SPJ2
Rotation 180 counterclockwise around the origin of the point (-3,-7)
Answer: (3 , 7)
Step-by-step explanation: When rotating a point 180 degrees counterclockwise about the origin our point A(x,y) becomes A'(-x,-y). So all we do is make both x and y negative. Since x and y are already negative, they become positive due to the double negative rule.
Need help fast on hs geometry please
[tex]\begin{gathered}15 = 4x + 3 \\ = > 4x = 15 - 3 \\ = > 4x = 12 \\ = > x = 3\end{gathered}
15=4x+3
=>4x=15−3
=>4x=12
=>x=3[/tex]
Therefore, YZ = 4x + 3 = 4(3) + 3 = 12 + 3 = 15Answers:
3, 15
Hope you could get an idea from here.
Doubt clarification - use comment section.
fill in blanks plz hurry due tmrw
5/7of ... is 5/21
... is blank
[tex]\dfrac 57 \cdot x = \dfrac 5{21}\\\\\\\implies \dfrac x 7 = \dfrac 1{21}\\\\\\\implies 21x = 7\\\\\implies x = \dfrac{7}{21}\\\\\\ \text{Hence}~\dfrac 57 ~ \text{of}~~ \dfrac{7}{21}~ ~\text{is}~ \dfrac{5}{21}[/tex]
Which values for A and B will create infiniely many solutions for this system of equations
Answer :
4x-ay=15
Step-by-step explanation:
Johnathan is driving from Houston to Seattle. After 3 hours, he has traveled 150 miles. After 7 hours, he has traveled 350 miles. This information is also represented in the table below.
Driving Time
Time (hr) Distance (miles)
3 150
7 350
10 500
What is Johnathan’s average rate of speed?
Answer:
50mph
Step-by-step explanation:
first divide 150 by 3 and you get 50
then divide 350 by 7 you get 50
and finally divide 500 by 10 and you get 50
Find the domain and range of the function represented by the graph . What’s the domain an range
For the holidays, Antonio is driving to visit his grandparents who live 441 miles away. Antonio's car gets 31.5 miles per gallon of gas when he is driving on the highway. In order to budget for his trip, Antonio wants to know how much gas he will need.
Use an equation to find how much gas Antonio needs for the drive.
Antonio needs
gallons of gas.
Answer:
12
Step-by-step explanation:
anyone can have few minutes to help!!
Answer:
i am not sure
Step-by-step explanation:
write an equation in slope intercept form for the line that passes through the point, and is perpendicular to the line y=-1/3x+9;(-6,-2)
Answer:
Step-by-step explanation:
y=-1/3x+9
This is written in the format y=mx+b, where m is the slope and b the y-intercept (the value of y when x=0).
Perpendicular lines have a slope that is the negative inverse of the slope of the reference line, in this case -(1/3). The new slope is 3. equation is:
y = 3x + b
To find b, enter the given point, (-6,-2) and solve for b:
y = 3x + b
-2 = 3(-6) + b
-2 = -18 + b
b = 16
The full equation is y=3x + 18
1. Nathan bought a bicycle for $230 at an auction. He fixed it up and sold it at a 30% markup. How much did
Nathan sell the bike for?
Nathan bought a bicycle for $230 at an auction. Nathan sells the bike for $299 at a 30% markup.
What is the percentage?A percentage is a minimum number or ratio that is measured by a fraction of 100.
Nathan bought a bicycle for $230 at an auction. He fixed it up and sold it at a 30% markup.
So, the markup price, we get
30% of $230
= 30/100 x 230
= 3 x 23
= 69
Total selling price = 230 + 69
= 299
Thus, Nathan sells the bike for $299.
Learn more about percentages;
https://brainly.com/question/23111313
what are the correct answers?
cos (75)=cos (15) nothing square and check
Find the area of the parallelogram
Answer:
A = 99.84 cm²
Step-by-step explanation:
The area (A) of a parallelogram is calculated as
A = bh ( b is the base and h the perpendicular height )
Here b = 9.6 and h = 10.4 , then
A = 9.6 × 10.4 = 99.84 cm²
Step-by-step explanation:
We can see that this parallelogram is two right angles joined side by side. Normally the area of a parallelogram is Base x Height.
But let's make an exception.
For the first right angle. The area = 1/4(b+h)
¼(10.4+9.6) = 5cm²
We see that the base of the triangle is flipped and the angles correspond
so, the area would be 5cm² * 2
= 10cm²
A cylinder has a height of 7 centimeters and a diameter of 24 centimeters. What is its volume?
Answer:
[tex]to \: know \: \: the \: solution[/tex]
[tex]refer \: to \: the \: attatchment[/tex]
I hope this helps you !!FOR 20 POINTS r(x)=−7x−3 and q(x)=r(−3x).
What equation shows the correct rule for the function q?
q(x)=21x
q(x)=21x−3
q(x)=21x+9
q(x)=21x+3
Answer:
last one
Step-by-step explanation:
Answer: the correct answer is B the guy above me is wrong
Step-by-step explanation:
Find EG
Please help
Answer:
EG = 12.2
Step-by-step explanation:
Since HG = HE = 14 then the triangle is isosceles.
HF is a perpendicular bisector of EG , then
EF = FG = 6.1 , so
EG = EF + FG = 6.1 + 6.1 = 12.2
What is an
equation of the line that passes through the point (-8, -1) and is
parallel to the line x– 4y = 4?
Answer:
y=1/4x + 1
Step-by-step explanation:
first equation,,y=1/4x - 1
G1 = G2
G2 = 1/4
y+1 /x+8 =1/4
4y = X + 8 -4
4y =x + 4
y = 1/4x + 1
It takes Amy twice as long to deliver papers as it does Nancy. How long would it take each girl to deliver the papers by herself if they can deliver the papers together in 36 minutes?
Answer:
so if it takes twice all long for amy as nacy that means
Amy takes 2/3 or 0.6(aprox)
Nacy takes 1/3 or 0.3(aprox)
Amy=24
Nacy=12
Hope This Helps!!!
If one of you guys wouldn’t mind helping me do this question it would really speed up the process I have like 10 minutes now
Answer:
13. 70(two digits 7 times 10 which is a multiple of 5)
Hope This Helps!!!
The base of a triangular field is three times its height. If the cost of cultivating the feild at $36 per hectare is $486, find its base and height.
Please explain also
Answer:
Formula of the area of triangle = 1/2 × b × h (where 'b' is the base and 'h' is the height)
1 hectare = $36
$486 = 13.5 hectares
13.5 hectares = 1/2 × b × h
To get b × h, you use the reverse of the formula. Hence:
13.5 = 1/2 × b × h
13.5 ÷ 1/2 = b × h
= 27
27 is b × h.
The question states that the base is three times the height. Hence:
b = 3u
h = 1u
b × h = 27
= 3u × 1u
Thus, we need to find one value which is three times the other, in order to get a product of 27.
Factors of 27:
1 × 27
3 × 9
9 is three times of 3. Thus, the base is 9, while the height is 3.