Answers
Answer:
x = 12
Step-by-step explanation:
x^2 + (x - 7)^2 = (x + 1)^2
x^2 + x^2 - 14x + 49 = x^2 + 2x + 1
x^2 - 16x + 48 = 0
(x - 4)(x - 12) = 0
x - 4 = 0 or x - 12 = 0
x = 4 or x = 12
One side has length x - 7.
For x = 4, x - 7 = 4 - 7 = -3.
Since a side of a triangle cannot have a negative length, x = 4 must be discarded.
Answer: x = 12
Related Questions
x[tex]x^{2}-8x+14=2x-7[/tex]
Answers
Answer:
[tex]x = 3\ or\ x = 7[/tex]
Step-by-step explanation:
Given
[tex]x^{2}-8x+14=2x-7[/tex]
Required
Solve
Equate to 0
[tex]x^{2}-8x-2x+14+7=0[/tex]
[tex]x^{2}-10x+21=0[/tex]
Expand
[tex]x^{2}-7x-3x+21=0[/tex]
Factorize
[tex]x(x-7)-3(x-7)=0[/tex]
Factor out x - 7
[tex](x-3)(x-7)=0[/tex]
Split
[tex]x - 3 = 0\ \ x - 7 = 0[/tex]
Solve
[tex]x = 3\ or\ x = 7[/tex]
You have 2 spreads, 3 meats, and 4 kinds of bread. How many different sandwiches can you make using one of each ingredient?
Answers
Answer:
24
Step-by-step explanation:
Consider randomly selecting a single individual and having that person test drive different vehicles. Define events , , and by Suppose that , , , , , and . What is the probability that the individual likes both vehicle
Answers
Answer:
[tex]P(A_1\ n\ A_2) = 0.40[/tex]
Step-by-step explanation:
Let:
[tex]A_1 \to[/tex] An Individual likes vehicle 1
[tex]A_2 \to[/tex] An Individual like vehicle 2
[tex]P(A_1) = 0.55[/tex]
[tex]P(A_2) = 0.65[/tex]
[tex]P (A_1\ u\ A_2 ) = 0.80[/tex]
Required
[tex]P(A_1\ n\ A_2)[/tex] --- probability that both vehicles are liked by the individual.
This is calculated as:
[tex]P(A_1\ n\ A_2) = P(A_1) + P(A_2) - P(A_1\ u\ A_2)[/tex]
So, we have:
[tex]P(A_1\ n\ A_2) = 0.55 + 0.65 - 0.80[/tex]
[tex]P(A_1\ n\ A_2) = 0.40[/tex]
[tex] \frac{9}{11} = 0. |?| |?| [/tex]
list the digits that repeat
Answers
Step-by-step explanation:
9/11=0.81818181....
the digits that repeat is 81
Answer:
.81 repeating
Step-by-step explanation:
9/11 = 0.81 repeating.
thvuvugufugy i need help pls i beg
Answers
Answer:
A-10
B- -12
C-3.6
If you cant understand B is -12
tell this !!!!............
Answers
Answer:
D
Step-by-step explanation:
Answer:
D....................
coz 100 has 0 so the number should at least have 0 in it
Math problem please help thank youuuuuu
Answers
Answer:
the answer is ( -8,-8 )
Step-by-step explanation:
the first point is in -8 and the second point is also in -8 , therefore the answer is ( -8,-8 )
Find the volume of the figure shown below.
A)15 units^3
B)30 units^3
C)9 units^3
D)None of these answers
E)There is not enough information given
Answers
Answer:
B. 30 units³
Step-by-step explanation:
the volume= 5×2×3 = 30
At an effective annual interest rate i, i > 0, each of the following two sets of payments has present value K:
a. A payment of 121 immediately and another payment of 121 at the end of one year
b. A payment of 144 at the end of two years and another payment of 144 at the end of three vears.
Calculate i.
Answers
Answer:
Hence the calculated
Step-by-step explanation:
Now,
[tex]121+121v=144v^{2} + 144 v^{3} =K\\121(1+v)=144v^{2} (1+v)\\v^{2} =\frac{121}{144} \\\\v=\frac{11}{12}[/tex]
Then K is calculated as,
[tex]K=121(1+v)\\K=121(1+\frac{11}{12} )\\K=\frac{121(23)}{12} \\\\K= 231.916[/tex]
Here we get,
[tex]i=\left | \left ( \frac{v-1}{v} \right ) \right |\\i=\left | \frac{\frac{11}{12}-1}{\frac{11}{12}} \right |\\i=\frac{1}{11}[/tex]
Please help immediately! In desperate need!
Answers
9514 1404 393
Answer:
see attached
Step-by-step explanation:
You know that f(0) = 2^0 = 1, so g(0) = -11 has been shifted down 12 units from f(x). A shift of half as much will be a shift down 6 units from f(x), or up 6 units from g(x).
In the attached, we have named the new function h(x). It is equivalent to g(x)+6. That is, you can add 6 to each of the g(x) table values to get the corresponding values for h(x).
PLS HELP ASAP ILL MARK BRAINLIEST Find the geometric probability of landing in the shaded area of the picture. The small circle has a diameter of 6 meters and the larger circle has a diameter of 54 meters. Show and explain all work.
Answers
Answer:
1/80
Step-by-step explanation:
(the area of the small circle)/(the area of the larger circle)
= (π× 3²)/(π× 27²)
(=> eliminate π)
= 3²/27² = (1/9)² = 1/81
since the shaded area is inside the larger circle,
the geometric probability =
1/(81-1) = 1/80
PLS HELP!! I NEED TO FIND THE SURFACE AREA OF THIS CYLINDER!!!!!
Answers
Answer:
Step-by-step explanation:
you have two disks, and one rectangle
area of the disk = π [tex]r^{2}[/tex]
47 π x 2 = 94 π (for the two disks....
rectangle area = L x W
width = 14
Length = 2*π*r = 14π
area = 14*14π = 196 π
total = 196 π + 94 π = 290 π
Answer:
The surface area of this cylinder is about 923.63 [tex]inches^{2}[/tex].
Step-by-step explanation:
The formula for the surface area of a cylinder is this :
[tex]A = 2\pi rh+2\pi r^{2}[/tex]
"R" is 7, and "h" is 14. Knowing these values, let's solve.
[tex]A = 2\pi rh+2\pi r^{2}[/tex] = 2 · π · 7 · 14 + 2 · π ·72 ≈ 923.62824
The surface area of this cylinder is about 923.63 [tex]inches^{2}[/tex].
Hope this helps, please mark brainliest! :)
8 minus the difference of p and 4 un algebraic expression
Answers
Answer:
8 - (p - 4)
Step-by-step explanation:
8 - (p - 4)
Point A is located at (-23, -2). Point B is located at (-23,23). What is the distance
between point A and point B?
Answers
Answer:
25
Step-by-step explanation:
Since the x values are the same
the distaance is simply the difference in the y values
23 - (-2) = 25
hi can someone help me w this
Answers
Answer:
336 ft³ or 336 cubic feet
Step-by-step explanation:
Volume = Area triangle * height
Area triangle = 1/2(8 x 14)
Area triangle = 1/2(112) = 56 ft²
56 ft² * 6 ft = 336 ft³
If my answer is incorrect, pls correct me!
If you like my answer and explanation, mark me as brainliest!
-Chetan K
Evaluate this expression for x=-5 and y=-5
Answers
Answer:
[tex]x - 2y=5[/tex]
Step-by-step explanation:
Given
[tex]x = -5; y=-5[/tex]
[tex]x - 2y[/tex] --- missing from question
Required
Evaluate
We have:
[tex]x - 2y[/tex]
Substitute for x and y
[tex]x - 2y=-5 - 2*-5[/tex]
[tex]x - 2y=-5 +10[/tex]
[tex]x - 2y=5[/tex]
Please help meeeeeee!!
Answers
4x-23=2x+17
2x=40
x=20
Find x so that m || n. Show your work.
Solution:-Since m || n, 4x – 23 = 2x + 17 by the Converse of alternate exterior angles theorem.
Solve for x.
[tex]\sf{4x-23=2x+17}[/tex]
[tex]\sf{4x-2x-23=2x-2x+17}[/tex]
[tex]\sf{2x-23=17}[/tex]
[tex]\sf{2x-23+23=17+23}[/tex]
[tex]\sf{2x=40}[/tex]
[tex]\sf{\frac{2x}{2}={\frac{40}{2}}}[/tex]
[tex]\sf{x={\color{magenta}{20}}}[/tex]
========================#Hope it helps!
(ノ^_^)ノ
Match the base to the corresponding height. Base (b) Height (h) h h b b h
pls help me
Answers
Answer:2 b
Step-by-step explanation:3 h
Answer:
thats your answer
Step-by-step explanation:
To bill customers for water usage, one city converts the number of gallons used into units. This relationship is represented by the equation u = 748g, where g is the total number of gallons of water used and u is the number of units.
Determine which statements about the relationship are true. Choose two options.
g is the dependent variable.
u is the dependent variable.
g is the independent variable.
u is the independent variable.
The two variables cannot be labeled as independent or dependent without a table of values.
Answers
Answer: u is the dependent variable
g is the independent variable
Step-by-step explanation:
Based on the relationship, represented by the equation u = 748g, where g is the total number of gallons of water used and u is the number of units, then :
u is the dependent variableg is the independent variableWhat are the independent variables and dependent variable?An independent variable serves as the variable that one can manipulate then control, an experimental so one can actually record the effects.
Independent variable on the other hand serves as the cause which have an independent values compare to others.
Learn more about variable at:https://brainly.com/question/3764906
#SPJ9
Someone help me please this is an emergency T.T
Answers
Answer:
x < 3
Step-by-step explanation:
The graph of f(x) is above the graph of g(x) for values of x less than 3.
Answer: x < 3
Translate and solve: 46 less than y is at least -184
Answers
Translate: y - 46 > -184
Possible answer: y > - 138
Solution:
y - 46 > -184
= y > - 184 + 46
= y > - 138
#CarryOnLearning
The Possible answer of the given statement could be as y > - 138.
What is a solution set to an inequality or an equation?If the equation or inequality contains variable terms, then there might be some values of those variables for which that equation or inequality might be true.
Such values are called solution to that equation or inequality.
A Set of such values is called solution set to the considered equation or inequality.
Given information; 46 less than y is at least -184
To Translate: y - 46 > -184
WE can solve it as;
y - 46 > -184
y > - 184 + 46
y > - 138
Therefore, The Possible answer of the given statement could be as y > - 138.
Learn more about inequalities here:
https://brainly.com/question/27425770
#SPJ5
The waiting times between a subway departure schedule and the arrival of a passenger are uniformly distributed between and minutes. Find the probability that a randomly selected passenger has a waiting time minutes.
Answers
Answer:
Incomplete question, but I gave you a guide on the uniform distribution, and thus you just have to replace the values in these equations to find the desired probabilities.
Step-by-step explanation:
Uniform probability distribution:
An uniform distribution has two bounds, a and b.
The probability of finding a value of at lower than x is:
[tex]P(X < x) = \frac{a - x}{b - a}[/tex]
The probability of finding a value between c and d is:
[tex]P(c \leq X \leq d) = \frac{d - c}{b - a}[/tex]
The probability of finding a value above x is:
[tex]P(X > x) = \frac{b - x}{b - a}[/tex]
Between a and b minutes.
Here you get a and b for the uniform distribution.
Find the probability that a randomly selected passenger has a waiting time minutes.
Here you will have the value of x.
Find P(7). 1 2 3 4 5 6 7 8 where hand points to 3
1/8
1/4
1/2
Answers
Answer:
1/2
Step-by-step explanation:
Every time clock moves 1 (like for example it move from 3 to 4) 1/8 it covers
3->4->5->6->7 => 1/8+1/8+1/8+1/8 => 4/8 => 1/2
i will mark brainliest
which statement best describes the are of Triangle ABC shown below?
A: it is going to have the area of a square of side lengths 6 units.
B it is twice the area of a square of side lengths 6 units.
C is one half the area of a rectangle with sides 6 units * 2 units.
Dit is twice the area of a rectangle with sides 6 units comes with two units.
Answers
9514 1404 393
Answer:
C is one half the area of a rectangle with sides 6 units * 2 units
Step-by-step explanation:
The area of any triangle is half the area of a rectangle of the same height and width. Here, the triangle has a width of 6 units and a height of 2 units. Its area is ...
one half the area of a rectangle with sides 6 units by 2 units
Find the lateral surface area of the cylinder. Round your answer to the nearest tenth.
Answers
Answer:
B
Step-by-step explanation:
LA = radius x 2 x pi x height = 6 x 2 x pi x 13 = 489.8 ft^2
Mark the angles and sides of each pair of triangles to indicate that they are congruent. NO LINKS!!!
Answers
=========================================================
Explanation:
The order of the lettering is important because the order tells us how the letters pair up.
For DCB and CDJ, we have D and C as the first letters. So that means angle D and angle C are congruent between the triangles. I've marked this in red. The other angles are handled the same way.
The congruences for the segments are then built up from the angles.
Is 24/40 equal to four over five a true proportion
Answers
Answer:yes it is
hsyhsyxhsyxhsyhxysxys
Answer:
24/40 = 12/20 = 6/10 = 3/5 ...
so no 24/40 does not = 4/5
Step-by-step explanation:
Adam bought three kinds of
bagels at the bagel store. He
bought twice as many onion bagels as plain
bagels. He bought four more sesame
bagels than he did plain bagels. Adam ate
one of the sixteen onion bagels he bought
as soon as he got home. How many bagels
does Adam have left?
Answers
9514 1404 393
Answer:
35
Step-by-step explanation:
The 16 onion bagels are twice as many as plain bagels, so there were 8 plain bagels.
There were 4 more sesame bagels than plain bagels, so there were 12 sesame bagels.
Adam has 8 plain, 12 sesame, and 15 onion bagels left, for a total of 35 bagels left.
Help please If f(x) = -3x - 5 and g(x) = 4x-2, find (1-9)(x).
Answers
9514 1404 393
Answer:
-7x -3
Step-by-step explanation:
(f -g)(x) = f(x) -g(x) = (-3x -5) -(4x -2)
(f -g)(x) = -3x -5 -4x +2 = (-3-4)x +(-5+2)
(f -g)(x) = -7x -3
Two buses leave towns 520 kilometers apart at the same time and travel toward each other. One bus travels 16 km/h slower than the other. If they meet in 2 hours, what is the rate of each bus?
Answers
Answer:
122 km/h
138 km/h
Step-by-step explanation:
distance = speed * time
One bus travels 16 km/h slower than the other
(s * 2) + (s - 16)2 = 520
2s + 2s - 32 = 520
4s = 552
s = 552/4
s = 138 km/h
s - 16 = 122 km/h
