Answer:
3 units
Step-by-step explanation:
By intersecting chords theorem:
[tex] AE \times EB = CE \times ED[/tex]
[tex] \therefore 3 \times 4= x \times (x+1)[/tex]
[tex] \therefore 12= x^2 +x[/tex]
[tex] \therefore x^2 +x-12=0[/tex]
[tex] \therefore x^2 +4x-3x-12=0[/tex]
[tex] \therefore x(x +4)-3(x+4)=0[/tex]
[tex] \therefore (x +4)(x-3)=0[/tex]
[tex] \therefore (x +4)=0, \: (x-3)=0[/tex]
[tex] \therefore x=-4, \: x=3[/tex]
Since, the value of x can not be negative.
[tex] \therefore x\neq - 4[/tex]
[tex] \implies x = 3[/tex]
[tex] \implies CE = 3[/tex]
Working alone, Wilbur can mop a
warehouse in 11 hours. Perry can mop the
same warehouse in 9 hours. Find how
long it would take them if they worked
together.
It would be 20 hours
Step-by-step explanation:
let me know if I am wrong thxs
a trail is 5 miles long. carlos walks 2/3 of the trail and runs the rest. how many miles does carlos walk?
Answer:
as 1 mile = 1.609 km
so 5miles = 8.045 km
so 2/3 of the trail = 2/3 × 8.045 = 5.3633333 (ans)
Hope it helps
A trail is 5 miles long. Carlos walks 2/3 of the trail and runs the rest. Carlos walks 5.36 miles.
What is the unitary method?The unitary method is a method for solving a problem by the first value of a single unit and then finding the value by multiplying the single value.
A trail is 5 miles long. Carlos walks 2/3 of the trail and runs the rest.
we know that 1 mile = 1.609 km
then, 5 miles = 5 × 1.609
= 8.045 km
so, 2/3 of the trail = 2/3 × 8.045
= 5.3633
Learn more about the unitary method;
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In the diagram below, what is the measure of angle 2?
Rick has a printer that can print a job in 8 minutes. When he uses his son's smaller printer at the same time, he can complete the same job in 6 minutes. How long does it take his son's printer to complete the job by itself? (In minutes.)
Answer:
maybe 2 minutes?
Step-by-step explanation:
not sure im so sorry!
x^100+1 divide by x+1
Answer:
x=-1
Step-by-step explanation:
[tex] \frac{x ^{100} + 1 }{x + 1} [/tex]
[tex]x + 1 = 0[/tex]
[tex]x = - 1[/tex]
The temperature of the water in an aquarium is regulated so
that it cycles regularly between 26 and 30 degrees Celsius over
the course of each 24 hours. The equation that models the
temperature of the water isy = 2 sin(x) + 28. What does
the number 2 represent in the context of the problem?
Answer:
B
Step-by-step explanation:
Choose all expressions equivalent to 32 + 24
Answer:
32+24 = 56
Step-by-step explanation:
pls help!!! and no links :)
Answer:
The surface area of the parallelogram is;
2x^3 -6x^2 - 14x +24 squared centimeters
Step-by-step explanation:
To get the area of the parallelogram, we need to multiply the base length of the parallelogram by the height of the parallelogram
We have this as follows;
(x-4)(2x^2+2x-6)
= x(2x^2 + 2x-6) -4(2x^2 + 2x-6)
= 2x^3 + 2x^2 - 6x -8x^2 -8x + 24
= 2x^3 +2x^2 -8x^2 -6x-8x+24
= 2x^3 -6x^2 - 14x +24
y= 4x + 2
y= 4x + 6
How many solutions
0 solutions.
4x+2 is not = 4x+6
Therefore there will be Jo solutions
Answer:
no solutions
Step-by-step explanation:
Given the 2 equations
y = 4x + 2 → (1)
y = 4x + 6 → (2)
Substitute y = 4x + 2 into (2)
4x + 2 = 4x + 6 ( subtract 2 from both sides )
4x = 4x + 4 ( subtract 4x from both sides )
0 = 4 ← not possible
This indicates the system has no solution
The side length of a square is (8 - square root 10) inches long. Find the area of the square. Write your answer in simplest radical form.
Answer:
74-16 square root 10
Step-by-step explanation:
area = (length)^2
= (8- square root 10)^2
= 64- 16 square root 10 + 10
=74-16 square root 10
The area of the square is [tex]74-16\sqrt{10}[/tex] inches².
Area of square
Let x be the length of square
then area = x²
How to find the square area?
Given the side length of a square is [tex]8-\sqrt{10}[/tex] inches.
then the area of the square is [tex](8-\sqrt{10} )^{2}[/tex]
therefore,
[tex](8-\sqrt{10} )^{2}= 8^2+(\sqrt{10})^2-2(8)(\sqrt{10})[/tex]
[tex]=64+10-16\sqrt{10}[/tex]
[tex]=74-16\sqrt{10}[/tex]
Hence the area is [tex]74-16\sqrt{10}[/tex] inches².
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Solve the equation
2x2 + 8x – 1 = 0
by completing the square.
Give your answers correct to 2 decimal places.
Step-by-step explanation:
[tex] {2x}^{2} + 8x - 1 = 0 \\ {x}^{2} + 4x - \frac{1}{2} = 0 \\ {x}^{2} + 4x + {( \frac{1}{4} )}^{2} - \frac{1}{2} - { (\frac{1}{4} )}^{2} = 0 \\ {(x + \frac{1}{4}) }^{2} - \frac{9}{16} = 0 \\ {(x + \frac{1}{4}) }^{2} = \frac{9}{16} \\ x + \frac{1}{4} = ±( \frac{ 3}{4} ) \\ x = \frac{1}{2} \: or \: - 1[/tex]
Answer:
Step-by-step explanation:
divide each term by 2 to begin with x²
x² + 4x - 1/2 = 0
now add 1 to each side
x² + 4x = 1/2
now divide 4 in half and square the result and add it to each side
x² + 4x + 4 = 1/2 + 4
(x + 2)² = 9/2
What angle is this? A: Adjacent. B: Vertical. C: Complementary. D: Supplementary.
Pleasee help I need it lol
Answer:
C ≥ 9
Step-by-step explanation:
Since they have already spent 15 dollars, and they will spend more than 23, it should at least be 24, but can also be more than 24, so C is greater than or equal to 9 :D
Jackie had her hair done and gave her stylist a 20% tip. Her haircut and color was $120.
Answer:
She gave her stylist a 24 dollar tip.
;p
WILL GIVE BRAINLIEST
Water Brook Farm includes 240 acres of cropland. The Farm owner wishes to plant this acreage in both corn and soybeans. The profit per acre in corn production is $325 and enjoy beans is $180. A total of 320 hours of labor is available. each acre of corn requires 2 hours of labor where is each acre of soybeans requires 1 hour of labor
If the farm only planted corn what would the profit be?
Step-by-step explanation:
$325x240acres
=$78000
Please help me
can u explain how to do this
Answer:
x=41
Step-by-step explanation:
so since this is a right triangle you can use the Pythagorean Theorem to find the missing side. the two sides you know are 'a' and 'b' and the missing side is 'c'. the theorem says that:
a^2+b^2=c^2
so:
9^2 +40^2=c^2
solve for the exponents:
81 +1600=c^2
1681=c^2
and now, since 1681 is the missing side's length squared, we must find the square root of 1681, which is 41
hope this helps :)
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Even if Tom walks
of a mile more than
of the distance he walks to
school every day, the result is still less than
of a mile. How far does
10
Tom walk to school every day?
Answer:
Ok
Explanation:
What are the ways to determine if a relation is a function? Select EACH correct
answer.
Answer:
Step-by-step explanation:
Math math math math help
Answer:
The answer is B.
Step-by-step explanation:
You simply just simplify the expression. When you do this you get x to the third, 2x squared, and 4x. I hope this helps!!
Answer:
B
Step-by-step explanation:
x*x*x=x^3 (x cubed)
x*x=x^2 (x squared)
We CAN'T add up x's here.
They're from different families.
So, B is correct:)
One-sixth of a certain number is four more
than one-twelfth the number. Find the number. a. 6 b. 18 C. 36 d. 48
let number be x
1/6x - 1/12x= 4
1/12x=4
cross multiply
x= 12 x 4
x= 48
If one-sixth of a certain number is four more than one-twelfth the number, the required number will be 48.
Let the unknown number be 'a'
One-sixth of the number is expressed as 1/6 a ..... 1
One-twelfth the number is also expressed as 1/12 a
Four more than one-twelfth the number will be written as:
1/12 a + 4 .... 2
Equating 1 and 2 will give:
1/6 a = 1/12 a + 4
a/6 = a/12 + 4
Collect the like terms
[tex]\frac{a}{6} - \frac{a}{12} = 4[/tex]
Find the LCM
[tex]\frac{2a-a}{12} = 4\\\frac{a}{12} = 4[/tex]
Cross multiply
a = 12×4
a = 48
This shows that the required number is 48
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20 points question: Please Help!!!! Need Explanations as well. No Links!
Answer: C
Because if you put then in order(1,3,3,4,9) you will see that once you cross them off the last one will be 3 which would be the median and the answer.
Seventh grade
>
DD.1 Probability of simple events ZZB
Learn with an example
6
A bag contains 6 marbles, of which 3 are white.
What is the probability that a randomly selected marble will be white?
Write your answer as a fraction or whole number.
P(white)
-
Submit
Answer:
1/2
Step-by-step explanation:
total marbles 6
white marbles 3
white marbles/ total = 3/6
simply 1/2
Step-by-step explanation:
total marbles 6
white marbles 3
white marbles/total =3/6
simply 1/2
Can anyone please solve this quickly?
Answer:
c = 10
Step-by-step explanation:
3 is to 6 as 5 is to c:
3 5
----- = -----
6 c
Then 3c = 30, and c = 10
What is 75 percent of 28?
Answer:
21 is 75% of 28
Step-by-step explanation:
75% = 0.75
28(0.75) = 21
The graph of a linear function is shown on the grid.
Which equation is best represented by this graph?
Answer:
A
Step-by-step explanation:
what's the volume of this 3d shape??
[tex]\huge{ \mathfrak{ \underline{ Answer }}}\: \: ✓ [/tex]
let's divide the figure into two parts :
1st - rectangular prism2nd - triangular prism_____________________________
Area of rectangular prism :
[tex]8 \times 5 \times 2[/tex][tex]80 \: \: {cm}^{3} [/tex]_____________________________
Area of triangular prism :
[tex] \dfrac{1}{2} \times 6 \times 8 \times 5[/tex][tex]3 \times 40[/tex][tex]120 \: \: {cm}^{3} [/tex]_____________________________
Volume of whole figure :
[tex]80 \: \: {cm}^{3} + 120 \: \: {cm}^{3} [/tex][tex]200 \: \: cm {}^{3} [/tex]_____________________________
[tex]\mathrm{ \#TeeNForeveR}[/tex]
Use the box method to distribute and simplify (6x – 4)(-x^2+ 2x – 3). Drag and
drop the terms to the correct locations of the table.
(6x-4)(-x^2+2x-3)
Answer:
for the empty box in the -4 column put -8 and for the empty box in the 6x column put -18
Explain how changes in the dimensions of a cube dimensions affect the volume of a cube. Be specific, explaining how much the volume will change with each increase of 1 unit on the side lengths. Please give a clear explanation!
Answer:
When the dimensions of the shape, such as radius, height, or length change, both surface area and volume also change. However, the volume of the object always changes more than the surface area for the same change in dimensions.
find the simple interest on Birr 700 at 12% rate for 3 months
Answer:
252
Step-by-step explanation:
700 mutliply by 12 divided by 100 is equall to 8484multiply by 3 is equall to 252Write as a polynomial - \dfrac{ 2 }{ 7 } { a }^{ 2 } { y }^{ 7 } \left( 5a { y }^{ 2 } - \dfrac{ 1 }{ 2 } { a }^{ 2 } y- \dfrac{ 5 }{ 6 } { a }^{ 3 } \right)
Answer:
[tex]\frac{10}{7}\cdot a^{3}\cdot y^{4} - \frac{1}{7}\cdot a^{4}\cdot y^{3} - \frac{5}{21}\cdot a^5\cdot y^{2}}[/tex]
Step-by-step explanation:
According to the statement, we have the algebraic equation[tex]\frac{2}{7}\cdot {a^{2}\cdot y^{2}}\cdot \left(5\cdot a\cdot y^{2} - \frac{1}{2}\cdot {a}^{2}\cdot y - \frac{5}{6}\cdot a^{3}\right)[/tex] and we must to rewrite it as a polynomial. Since there are two variables: [tex]a[/tex], [tex]y[/tex], we must observe the following definition of polynomial:
[tex]p(a, y) = \Sigma\limits_{i = 0}^{n} c_{i}\cdot a^{i}\cdot y^{n-i}[/tex] (1)
Where:
[tex]i[/tex] - Index.
[tex]c_{i}[/tex] - i-th Coefficient of the polynomial.
[tex]n[/tex] - Grade of the polynomial.
By means of algebraic handling, we have the following result:
1) [tex]\frac{2}{7}\cdot {a^{2}\cdot y^{2}}\cdot \left(5\cdot a\cdot y^{2} - \frac{1}{2}\cdot {a}^{2}\cdot y - \frac{5}{6}\cdot a^{3}\right)[/tex] Given
2) [tex]\left(\frac{2}{7}\cdot a^{2}\cdot y^{2} \right)\cdot \left(5\cdot a\cdot y^{2}\right) + \left(\frac{2}{7}\cdot a^{2}\cdot y^{2} \right) \cdot \left(-\frac{1}{2}\cdot a^{2}\cdot y \right) + \left(\frac{2}{7}\cdot a^{2}\cdot y^{2} \right)\cdot \left(-\frac{5}{6}\cdot a^{3}\right)[/tex] Associative and distributive properties/[tex](-a)\cdot b = -a\cdot b[/tex]
3) [tex]\frac{10}{7}\cdot a^{3}\cdot y^{4} - \frac{1}{7}\cdot a^{4}\cdot y^{3} - \frac{5}{21}\cdot a^5\cdot y^{2}}[/tex] Associative and commutative properties/[tex]\frac{a}{b}\times \frac{c}{d} = \frac{a\cdot c}{b\cdot d}[/tex]/[tex](-a)\cdot b = -a\cdot b[/tex]/Definition of subtraction/[tex]\frac{a\cdot c}{b\cdot c} = \frac{a}{b}[/tex]/Result