[tex]ax^2 + x -24 =0\\\\\text{If the roots are}~ \alpha ~ \text{and}~ \beta,\\\\\alpha \beta = -\dfrac{24}a \\\\\implies -2 \dfrac 25 = -\dfrac{24} a\\\\ \implies 2 \dfrac 25 = \dfrac{24} a\\\\\implies \dfrac{12}5 = \dfrac{24}a\\\\\implies 12a = 120\\\\\implies a =\dfrac{120}{12} =10[/tex]
The Appalachian Trail is about 2,175 miles long.
If Katia averages 18 miles each day, how long will it take her to hike the length of the trail?
Answer:
121 days to hike the length of the trail.
Step-by-step explanation:
Divide 2175 miles by 18 miles/day. The unit 'miles' will cancel out, leaving with us the unit 'days.'
2175 miles
------------------- = 121 days
18 mi/day
Solve this equation. Enter your answer in the box. 75 â€"" 3. 5y â€"" 4y = 4y 6.
Answer:
Solve this equation. Enter your answer in the box. 75 â€"" 3. 5y â€"" 4y = 4y 6.
Determine the correct value of 3x + 2 when x= 5
Step-by-step explanation:
3x+2
3 x 5=15
15 + 2 = 17
so your answer is 17
pemdas
Parentheses, Exponents, Multiplication and Division (from left to right), Addition and Subtraction (from left to right).
PLEASE NO LINKS AND NO NEGATIVITY
Answer: bring the purple column to 5 and then green to 6
Step-by-step explanation: you need to divide which results you with 5/6
Answer: It takes john 1.2 months to read one book
Step-by-step explanation:
In - order to find out the answer we need to do [ months / books ] --> 12 / 10
what is 12 divided by 10 ? 1.2
Please help, question in pic
Answer:
D
Step-by-step explanation:
hard to explain but when you rotate 180, you can imagine that a straight line with the center of rotation as the midpoint can be drawn between the image and preimage. you want a mapped to c and you want d mapped to b. having it rotate 180 with the center of rotation being the center of the parallelogram allows you to make those imaginary lines between a and c and d and b. hope this helps
I need help with this question ASAP!
On a coordinate plane, triangle R S T has points (negative 5, 6), (3, 4), and (negative 2, 2). Which expression can be used to find the area of triangle RST? (8 â™ 4) - One-half (10 12 16) (8 â™ 4) - (10 12 16) (8 â™ 4) - One-half (5 6 8) (8 â™ 4) - (5 - 6 - 8).
The area of a triangle is the amount of space on the triangle
The expression that represents the area of the triangle is [tex]A = \frac 12|-5(2 -4) +3(2 -6) -2(4 -6)|[/tex]
The coordinates of the triangle are given as:
[tex]R = (-5,6)[/tex]
[tex]S = (3,4)[/tex]
[tex]T = (-2,2)[/tex]
The area (A) of a triangle from its coordinates or vertices are:
[tex]A = \frac 12|x_1(y_3 -y_2) +x_2(y_3 -y_1) + x_3(y_2 -y_1)|[/tex]
Substitute values for x's and y's
[tex]A = \frac 12|-5(2 -4) +3(2 -6) -2(4 -6)|[/tex]
Hence, the expression that represents the area of the triangle is [tex]A = \frac 12|-5(2 -4) +3(2 -6) -2(4 -6)|[/tex]
Read more about areas of triangles at:
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Examine the diagram, where BD is tangent to circle M at point D, and BA is secant to the same circle at points E and A.
Answer:
19 = x
Step-by-step explanation:
The square of the tangent segment = The product of (whole secant segment) (the outside part of the secant segment)
BD²= (BA)(BE)
8² = (4 + x - 7) (4) BA = BE + EB
8² = (x - 3)(4)
64 = 4x - 12
64 + 12 = 4x
76 = 4x
19 = x
Write an expression for the volume of the figure as a polynomial in standard form. (multiple choice)
Answer:
3.
2x^3+10x^2+14x+6
Step-by-step explanation:
according to figure,
v=w•l•h
(2x+2)(x+1)(x+3)
=(2x+2)x(x+1)+3(X+1)
=(2x+2)(x^2+4x+3)
=2x(x^2+4x+3)+2(x^2+4x+3)
=2x^3+10x^2+14x+6
The volume of the figure as a polynomial in standard form is
V = 2x³ + 10x² + 14x + 6.
What is a cuboid?A closed three-dimensional geometric shape called a cuboid is surrounded by six rectangular plane sections.
The given figure is a cuboid with dimensions (2x + 2), (x + 1), and (x + 3).
The volume of the cuboid is the multiplication of its dimension, therefore, the volume of the cuboid is:
V = (2x +2)(x + 1)(x + 3)
V = (2x² + 2x +2x + 2)(x + 3)
V = (2x² + 4x + 2)(x + 3)
V = 2x³ + 6x² + 4x² + 12x + 2x + 6
V = 2x³ + 10x² + 14x + 6
Hence, the volume of the figure as a polynomial in standard form is
V = 2x³ + 10x² + 14x + 6.
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A linear equation in one variable (the variable x) that can be transformed into an equivalent equation in which of these forms has one solution?
A.
x = x
B. x= 3
C. 1=1
D. 1 = 3
Answer:
b maybe....
Step-by-step explanation:
There 7 ducklings .they sleep in 1 large nest .write and solve an equation that shows how many ducklings sleep in the nest
Answer:
7 ÷ 1 = 7
Step-by-step explanation:
Answer:
I think
Step-by-step explanation:
I think you are subtracting
The minute hand of a clock has a length of 12 cm, and the hour hand has a length of 8 cm
a) How far does the tip of the minute hand travel in one hour?
b) How far does the tip of the hour hand travel in 12 hours?
c) How far does the tip of each hand travel in one week?
Answer:
I have no any ideas
Step-by-step explanation:
sorry
Solve the equation 3(2x + 2) = 3x - 15.
Ox=-7
17
Ox=-
Ox=3
Ox=7
Simplify:
6x + 6 = 3x - 15
Now use all solutions
6(7) + 6 = 3(7) - 15
42 + 6 = 21 - 15
Nearly, you can tell it doesn't work.
6(-7) + 6 = 3(-7) - 15
-42 + 6 = -21 - 15
-36 = -36
So, -7 is x.
Answer:
[tex] \pmb{3(2x + 2) = 3x - 15}[/tex]
[tex] \: \: \: \rightarrow \: {6x + 6 = 3x - 15}[/tex]
[tex] \: \: \: \rightarrow \: {6x - 3x = 15 + 6}[/tex]
[tex]\: \: \: \rightarrow \: {3x = 21}[/tex]
[tex]\: \: \: \rightarrow \: {x = \displaystyle{{ \frac{21}{3} }}}[/tex]
[tex]\: \: \: \pmb\rightarrow \: { \pmb{x = 7}}[/tex]
Factor completely.
121x^2 – 144
Answer: (11x+12)(11x−12)
Step-by-step explanation: (11x+12)(11x−12) (11x+12)(11x+−12) (11x)(11x)+(11x)(−12)+(12)(11x)+(12)(−12) 121x2−132x+132x−144 121x^2-144
find the inverse function f(x)=1/2x+2
Answer:
y=2x-4
Step-by-step explanation:
f(x)=1/2x+2
y=1/2x+2
-----------------
x=1/2y+2
1/2y=x-2
y=2(x-2)
y=2x-4
Determine the slope of the line that passes through the points (-8,-4) and (0, -1).
Answer:
3/8
Step-by-step explanation:
(-1-(-4))/(0-(-8))
=3/8
Which of the following is in the range of the function based on the input-output table below?
Answer:
A.
Step-by-step explanation:
The answer is A because first:
1. we are looking for y so B and D are off the table
2. It goes from least to greatest so C is also gone
3. You are left with A
Answer:
A
Step-by-step explanation:
The range is the y value.
In this table the y value is pay per month.
A small jar of mustard holds 75% as much as a large jar of mustard. If the large jar holds 36 ounces, how much does the small jar hold?
Answer:
9 oz
Step-by-step explanation:
36 ounces * 0.75 = 9oz.
Therefore, the small jar holds about 27 ounces.
Hoped this helped.
[tex]-BrainiacUser1357-[/tex]
Find the value of f(7).
y = f(x)
what are the correct answers?
cos (75)=cos (15) nothing square and check
what is the answer to this equation? x^2-18x+206=0
x = 9-5^(3/2)*i or x = 5^(3/2)*i+9
ok done. Thank to me :>
Classify the triangle based on the side lengths 7. 15 and 21
Triangle based on the side lengths 7. 15 and 21 is Obtuse triangle.
What is Trigonometry?Trigonometry is a branch of mathematics that studies relationships between side lengths and angles of triangles.
The sides of triangle are 7, 15 and 21.
Let the largest angle be θ.
cosθ=7²+15²-21²/2×7×15
=-167/210
Since arc cos(-167/210)=142.68 degrees.
θ=142.68 degrees.
Which means θ>90 degrees.
So its a obtuse triangle.
7+15=22>21
21-7=14<15
So those angles can make a obtuse triangle.
Hence, triangle based on the side lengths 7. 15 and 21 is Obtuse triangle.
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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]
It takes Jada 20 minutes to walk to school. It takes Andre 80% as long to walk to school. How long does it take Andre to walk to school?
____ minutes
WARNING GIVE A DETAILED ANSWER
Time required to walk to school is, t=20 mins
Since, Andre takes 80% of time required to walk to school. Which means
Time taken by Andre = 80% of 20 minutes
t-80/100x20
t=16 minutes
Andre takes 16 minutes to walk to school.
p.s you can be rude and take the points to my question idc Imma be nice and help you
I never was good at math, so i wanted to ask someone for help,
I'm doing 8th grade math, and this is the problem:
-11 + 9b² = 25
If you can help me I will be very grateful!
Answer:
b=4
Step-by-step explanation:
-11+9b^2=25
add 11 to both sides
9b^2=36
divide both sides by 9
b^2=4
take the square root of both sides
b=4
this question is hard
A) Total number of old plans = 3500 + 4700 = 8200
In the new month, the unlimited plans increased by 55%, which adds
0.55 • 3500 = 1925
unlimited plans, while the limited plans decreased by 25%, which subtracts
0.25 • 4700 = 1175
limited plans. Then
Total number of new plans = (3500 + 1925) + (4700 - 1175) = 8950
which corresponds to a percent change of
(8950 - 8200)/8200 ≈ 0.0915 = 9.15%
That is, percent change is given by
(new value - old value) / (old value)
B) The percent change is positive, so it's a percent increase.
Mr. Cooper determined functions to represent his distance traveled in miles, d, in terms of the number of hours, 1, of driving on two types of
highways. He found that on a state highway the function was d = 45t, and on a U.S. highway, the function was d = 601.
If Mr. Cooper drove for 1.5 hours on each type of highway, how much farther did he drive on the U.S. highway than on the state highway?
Enter the answer in the box.
Answer:
105t1
Step-by-step explanation:
por qué los sumas te da
Miguel glues a ribbon border around the edges of a 5-inch by 8-inch picture to create a frame. What is the total length of ribbon Miguel uses?
[tex]\qquad[/tex] ☀️So First – we have to find the perimeter of the frame on which the glue is applied and the length of the ribbon used by Miguel. The perimeter of the frame is the total length of ribbon Miguel uses.
Length of the frame is = 5 inchBreadth of the frame is = 8 inch[tex]\qquad[/tex]____________________
According to the question:-
[tex]\qquad[/tex][tex] \pink{\bf\longrightarrow Perimeter _{(The \:frame) }= The\: total\: length\: of \:ribbon}[/tex]
The frame is in the rectangular shape, as its length and breadth are different . As we know– Perimeter of the rectangle = 2 ( length + breadth ).[tex]\qquad[/tex][tex] \purple{\bf \longrightarrow Perimeter _{(The \:frame) } = 2 ( length\: of\: the \:frame + breadth \:of \:the\: frame )}[/tex]
[tex]\qquad[/tex][tex] \sf \longrightarrow Perimeter _{(The\: frame) } = 2 ( 5 + 8 ) [/tex]
[tex]\qquad[/tex][tex] \sf \longrightarrow Perimeter _{(The \:frame) }= 2 ( 5 ) + 2 ( 8 ) [/tex]
[tex]\qquad[/tex][tex] \sf \longrightarrow Perimeter _{(The\: frame) }= 10 + 16 [/tex]
[tex]\qquad[/tex][tex] \purple{\bf \longrightarrow Perimeter _{(The \:frame) }= 26\: inch} [/tex]
Henceforth, perimeter of the frame is 26 inch.Therefore,
Perimeter of the frame = The total length of ribbon.So, The total length of ribbon = 26 inch.[tex]\qquad[/tex]____________________
The Answer will be 26 inch
Challenge elementary school has 800 students. Every Wednesday, 12% of the students stay after school for chess. How many students attend chess club on Wednesday?
Answer:
Its 96 bro :) 96 students
Step-by-step explanation:
Basically yeah, 800 is 100% of the population yeah. So just multiply 800 times 12%. 800 x 12% is 96.
96 = 12% of 800, I hope this helps!
Your deposit $1000 in an account that earns 2.5% annual interest. Find the balance after 2 years if the interest compounds with the given frequency.
Answer:
34%
Step-by-step explanation:
3+3+3+3+3+3+3+35%