Answer:
1/x + 1/( x+15 ) = 1/4 / · x ( x+15 )
x+15 + x = x ( x+15 ) /4 / · 4
8 x + 60 = x² + 15 x
x² + 15 x - 8 x - 60 = 0
x² + 7 x - 60 = 0
x² + 12 x - 5 x - 60 = 0
x · ( x + 12 ) - 5 ·( x+ 12 ) = 0
( x + 12 ) · ( x - 5 ) =0
x = - 12 ( not accepted ) or x = 5
The time taken by Brian: 5 + 15 = 20 hours
Step-by-step explanation:
If DEF ~= PQR, which congruences are true by CPCTC? Select all that apply.
a. DF = PR
b. DE = PR
C. EF = QR
D. Q = D
E. E = Q
F. F= R
Answer:
A, C, E, F
Step-by-step explanation:
what is pi over 12 to the 10 power times 6 over 5.32018?
Answer: 3.9737436e-13
Step-by-step explanation: pi/12= 0.26179938779 to the tenth power = 5.0738475e-11 x 6/5.32018= 3.9737436e-13.
Plz Help, i really dont understand this, and I'm taking a timed test!
Solve for x: −3|x + 7| = −12 (2 points)
A. x = 5 over 3 , x = − 19 over 3
B. x = −3, x = −11
C. x = −3, x = 11
Answer:
B. x = −3, x = −11
Step-by-step explanation:
−3|x + 7| = −12
-3x - 21 = -12 and -3x - 21 = 12
-3x - 21 = -12
-3x = 9
x = -3
-3x - 21 = 12
-3x = 33
x = -11
Riley is training to run in a 5-kilometer road race. She would like to
reduce her race time by 15 seconds each month that she trains.
The race is in 3 months. What is the total change in time that Riley
hopes to achieve?
1. What integer represents the change in race time Riley wants to
achieve each month?
2. What integer represents the number of months she will train?
3. Write a multiplication expression that can be used to find the total
change in time.
4. Complete the number line to find the product.
-15
--50-45-40-35-30-25-20-15 -10 -5
0
5. What is the total change in race time that Riley hopes to achieve?
Explain what this change represents in the situation.
Answer:
1. -15
2. 3
3. -15 [tex]\times[/tex] 3
4. Kindly refer to the attached image.
5. -45, This change represents that achieving the goal will reduced the time by 45 seconds.
Step-by-step explanation:
Given that it is a 5 kilometre race.
Time to be reduced each month = 15 seconds
Total number of months left in the race = 3
1. Riley wants to achieve each month a decrease of 15 seconds.
Integer representing the change = -15
2. Change in time i.e. 3 months is represented by integer 3.
3. There are a total of 3 months and there is a decrease of 15 every month.
so, multiplication expression is: -15 [tex]\times[/tex] 3
4. Kindly refer to the attached image for the number line representation of the answer.
The arrow is from 0 to -45.
5. Total change in time is -45.
This change represents that achieving the goal will reduced the time by 45 seconds.
HELP!!!
This is a geometry question!
Please give reasoning with your answer!
I can and will mark a "real" answer brainliest!
Answer:
ΔABD ≅ ΔCDB
Step-by-step explanation:
Since a = 3, we can sub 3 into the expressions and then get a value for each side length.
AB: 3 + 7 = 10
BC = 16
CD: 12 - 2 = 10
DA: 18 - 2 = 16
Hence:
AB = CD (both have sidelengths of 10)
AD = CB (both have sidelengths of 16)
BD = BD (common line)
Therefore: ΔABD ≅ ΔCDB Q.E.D.
Nool is a computer repairman, To fix a computer,
he charges a customer X per hour, plus a fired
lee of $15 for the service call, as represented by
the equation below
y = 40x + 15
In the equation, what is represented by the variable
A the number of hours Noel worked
the amount Noel charged per hour
C, the fixed fee for the service call
D. the total cost of the repair job
Can someone
y = bx(x - a)(x-a)(x + b)(x - b)
In the equation above, a and b are positive
constants and a ≠ b. How many distinct x-intercepts
does the graph of the equation in the xy-plane have?
The x-intercepts of an equation are simply the zeros of the equation
The equation [tex]\mathbf{y = bx(x - a)(x -a)(x + b)(x - b)}[/tex] has 4 distinct x-intercepts
The equation is given as:
[tex]\mathbf{y = bx(x - a)(x -a)(x + b)(x - b)}[/tex]
Set the equation to 0; i.e. calculate the zeros
[tex]\mathbf{bx(x - a)(x -a)(x + b)(x - b) = 0}[/tex]
Divide both sides by constant b
[tex]\mathbf{x(x - a)(x -a)(x + b)(x - b) = 0}[/tex]
Split the above equation, as follows
[tex]\mathbf{x= 0\ or\ x - a = 0\ or\ x -a = 0\ or\ x + b = 0\ or\ x - b = 0}[/tex]
Solve for x in each of the equation
[tex]\mathbf{x= 0\ or\ x = a\ or\ x = a\ or\ x= -b\ or\ x = b}[/tex]
Remove repeated solutions
[tex]\mathbf{x= 0\ or\ x = a\ or\ x= -b\ or\ x = b}[/tex]
The count of solutions above is 4
Hence, the equation has 4 distinct x-intercepts
Read more about x-intercepts at:
https://brainly.com/question/3951754
solve for x
(3/x-c)=(4/x-d)
9514 1404 393
Answer:
x = 4c-3d
Step-by-step explanation:
Cross multiply, separate variables terms and constant terms.
[tex]3(x-d)=4(x-c)\\\\3x-3d=4x-4c\\\\4c-3d=x\qquad\text{add $4c-3x$}\\\\\boxed{x=4c-3d}[/tex]
need help with questions................
Answer:
not a function
Step-by-step explanation:
you can not have one-to-many
there is two 3 in the X column
put these numbers in descending order
75%
2/5
0.84
2/3
What the word please. Identify the vocabulary word that matches the picture.
Answer:
Step-by-step explanation:
BD divides CBA into two angles. The add to 90 degrees. Therefore they are complementary.
The key word is complementary. The angles are <CBA and <DBA are complementary.
Answer:
Right angle or adjacent angle. I'm not sure if there was a vocabulary bank.
Step-by-step explanation:
Solve for k in the following equation:
m =
8kx
7.
- 6
Answer:
m=56kx-6
Step-by-step explanation:
I need helppp?!
What is the slope of the line??? Please give right answer :(((
Answer:
hello
Step-by-step explanation:
Slope, sometimes referred to as gradient in mathematics, is a number that measures the steepness and direction of a line, or a section of a line connecting two points, and is usually denoted by m. Generally, a line's steepness is measured by the absolute value of its slope, m.
m = slope
In the diagram below of AACD, DB is a median to AC, and AB = DB.
D
A
B
c
If mZDAB = 32°, what is mZBDC?
(1) 320
(3) 58°
(2) 520
(4) 64°
Answer:
it will be (3)
Step-by-step explanation:
since DB is a median
then DB= half AC , AB=BC
then AB=BD
then the two triangles are isosceles
The required m∠BDC is 32° .
In geometry, a median of a triangle is a line segment joining a vertex to the midpoint of the opposite side, thus bisecting that side. Every triangle has exactly three medians, one from each vertex, and they all intersect each other at the triangle's centroid.
According to the given question ;
DB is a median;
By the symmetry ;
Then DB = half AC ,
= AB = BC
Then= AB = BD
In a triangle, a line that connects one corner (or vertices ) to the middle point of the opposite side is called a median. A property of isosceles triangles, which is simple to prove using triangle congruence, is that in an isosceles triangle the median to the base is perpendicular to the base.
Then the two triangles are isosceles.
Means m∠DAB = m∠BDC = 32°
For the more information about the properties of isosceles triangle click the link given below.
https://brainly.in/question/13106654
What's the answer ?
A. B. C. Or D?
Answer:
D.) y=-x-2
Step-by-step explanation:
Answer:
D.) y=-x-2
Step-by-step explanation:
Trust me I just know
Solve for n.
4/7 x n = 14
Answer:
[tex]n = \frac{49}{2x}[/tex]
Step-by-step explanation:
1) Simplify [tex]\frac{4}{7}[/tex] xn to [tex]\frac{4xn}{7}[/tex]
[tex]\frac{4xn}{7}[/tex] = 14
2) Multiply both sides by 7.
4xn = 14 × 7
3) Simplify 14 × 7 to 98.
4xn=98
4) Divide both sides by 4.
[tex]xn = \frac{98}{4}[/tex]
5) Simplify [tex]\frac{98}{4}[/tex] to [tex]\frac{49}{2}[/tex]
[tex]xn = \frac{49 }{2}[/tex]
6) Divide both sides by x.
[tex]n = \frac{49}{2} / x[/tex]
7) Simplify [tex]\frac{49}{2} /x[/tex] into [tex]\frac{49}{2x}[/tex]
[tex]n = \frac{49}{2x}[/tex]
Please help
The perimeter of a rectangular pool is 48 feet. Its length is 4 feet more than its width.
Let the width of the pool be represented by x.
Which equation below can be used to describe the situation?
Step-by-step explanation:
perimeter = 2* ( length + width)
Length = 4 + Width = 4+x
Equation is,
2* (4+x+x) = 48
2* (4+2x) = 48
4+2x = 48/2 = 24
4+2x=24
2x = 24-4 = 20
2x = 20
x = 10
8. Find the perimeter of ABC with vertices A(-8, -3), B(-2, -3), and C(-8,5).
Answer:
24
Step-by-step explanation:
Can someone tell me where to graph this
Answer:
(7, -6)
Step-by-step explanation:
You will graph it at this point because the point is basically the origin and when you rotate it clockwise 90° it will end up in Quadrant IV.
State whether the given measurements determine zero, one, or two triangles.
A = 61°, a = 23, b = 24
Answer:
One
Step-by-step explanation:
Find the value of B
Applying the law of sines
[tex]\frac{a}{sin(A)}[/tex] = [tex]\frac{b}{sin(B)}[/tex]
substitute the given values
[tex]\frac{23}{sin(61)}[/tex] = [tex]\frac{24}{sin(B)}[/tex]
sin (B) = [tex]\frac{24}{23}[/tex]Sin(61)
step 2
Find the measure of angle C
Remember that the sum of the interior angles in any triangle must be equal to 180 degrees
so
61 + 65.87 + C = 180
C = 53.13
step 3
Find the value of c
Applying the law of sines
[tex]\frac{a}{sin(A)}[/tex] = [tex]\frac{c}{sin(C)}[/tex]
substitute the given values
[tex]\frac{23}{sin(61)}[/tex] = [tex]\frac{c}{sin(53.13)}[/tex]
c = [tex]\frac{23}{sin(61)}[/tex]SIN (53.13)
C=21.04 units
so
there can only be one value for each measurement, therefore there can only be one triangle
Answer:
The answer is 2 triangles
Step-by-step explanation:
I took the test.
f(x) = -(x-3) +x
What is f(-1) = ?
Explanation:
Let y=3x
To calculate the inverse, interchange
x and y,
x =3 y
can someone help me on this question pretty please
Answer:
50 dollars an hour
Step-by-step explanation:
Simplify the expression.
−(−x)3 − x3
Answer:
0
Step-by-step explanation:
-(-x) ^3-x^3
x^3-x^3
=0
can some one please help me i’m begging
Answer:
Step-by-step explanation:
for 2.2 you would still have 5^2 in brackets still
same kind of error for 2.1
Which of the equations is graphed below?
A.) y=-4x+3
B.) y=-4x-3
C.) y=4x-3
D.) y=4x+3
Answer:
4x - 3 = y
Step-by-step explanation:
Here's why: 4 is your slope and -3 is your y intercept so the equation would look something like 4x - 3 = y.
Hope I helped
Write an equation in slope-intercept form with the given slope and y-intercept. m = 1 , b = -1
Answer:
y = 1x -1
Step-by-step explanation:
m is your slope which is 1 and -1 is you y intercept
the slope intercept form is y = mx + b
which means the equation will be y = 1x -1
Identify the horizontal and vertical asymptotes, if any, for the graph of f(x) shown. Check all that apply.
y = 0
y = 1
x = 1
x = –1
no vertical asymptotes
no horizontal asymptotes
Answer:
y = 0 , x = 1
Step-by-step explanation:
jdbdjdajhsbsbs
Answer:
Step-by-step explanation:
The graph has both a vertical and horizontal asymptote to which the value
of the function approaches as the y-values and x-values approaches
infinity respectively.
The horizontal asymptote is; y = 0The vertical asymptote is the line x = 1Reasons:
The horizontal asymptote is the horizontal line that the function's graph
tends towards as the value of the input variable approaches infinity.
The horizontal line that the graph of the function approaches is y = 0
Therefore;
The horizontal asymptote is; y = 0Similarly, the vertical asymptote is the vertical line that the graph of the
function approaches but never meets.
Therefore;
The graph of the function on the bottom left approaches the line x = 1 from
the left, while the graph of the function with the domain 0 < x < ∞,
approaches the line x = 1 from the right.
Therefore;
The vertical asymptote is the line x = 1Learn more here:
https://brainly.com/question/13939972
Solve:
-2(x – 4) = -8
x = 8
X = -8
X = 16
X = -16
Help please
Answer:
x = 8
Is that what you wanted?
How to solve 240=-16 Equation
no idea
Step-by-step explanation:
u can use google for this if u r in hurry
Given m∠GHF = 34°, m∠HJF = 124°, and m∠FKJ = 79°.
Angle GFJ = 56 degrees
Angle FGH = 124 degrees
Angle HFJ = 34 degrees
Angle HKJ = 101 degrees
Step-by-step explanation:
The measure of the angles are:
[tex]\mathbf{GFJ = 56}[/tex]
[tex]\mathbf{GFJ = 56}[/tex]
[tex]\mathbf{\angle HFJ = 34}[/tex]
[tex]\mathbf{\angle HKJ =101}[/tex]
The given parameters are:
∠GHF = 34°,
∠HJF = 124°,
∠FKJ = 79°.
(a) Angle ∠GFJ
This is calculated as:
[tex]\mathbf{GFJ = 180 - \angle HJF}[/tex] --- base angles of parallelogram add up to 180 degrees
So, we have:
[tex]\mathbf{GFJ = 180 - 124}[/tex]
[tex]\mathbf{GFJ = 56}[/tex]
(b) Angle ∠FGH
This is calculated as:
[tex]\mathbf{\angle FGH = \angle HJF}[/tex] --- opposite angles of parallelogram are equal
So, we have:
[tex]\mathbf{\angle FGH = 124}[/tex]
(c) Angle ∠HFJ
This is calculated as:
[tex]\mathbf{\angle HFJ = \angle GHF}[/tex] --- corresponding angles
So, we have:
[tex]\mathbf{\angle HFJ = 34}[/tex]
(d) Angle ∠HKJ
This is calculated as:
[tex]\mathbf{\angle HKJ =180 - \angle FKJ}[/tex] ---- supplementary angles
So, we have:
[tex]\mathbf{\angle HKJ =180 - 79}[/tex]
[tex]\mathbf{\angle HKJ =101}[/tex]
Read more about angles in a parallelogram at:
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