We want to find the length of PT.
From the figure [given T is midpoint of PQ], we can write:
\(PT+TQ=PQ\)We are given expressions for PT and TQ, we know they are equal. Thus, we can equate them and solve for x.
\(\begin{gathered} PT=TQ \\ 3x+8=5x-6 \\ 8+6=5x-3x \\ 14=2x \\ x=\frac{14}{2} \\ x=7 \end{gathered}\)The length of PT is "3x + 8". We know x = 7, so we can figure out the length of PT:
\(\begin{gathered} PT=3x+8 \\ PT=3(7)+8 \\ PT=21+8 \\ PT=29 \end{gathered}\)what fraction of 2 pounds is twenty pence
PPLLLLLEEEEAASSEE HELPP
Answer:20 pence is one tenth(1/10) or 10% of two pounds
PLEASE HELP ME 50 POINTS!!!
Explain how to simplify this expression:
(8a + 8) + (5a – 6).
8a+8+5a−6
=8a+8+5a+−6
Combine Like Terms=8a+8+5a+−6
=(8a+5a)+(8+−6)
=13a+2
=> (8a + 8) + (5a – 6)
=> (8a + 5a) + (8 – 6) [Combine like terms]
=> (13a + 2)
How do I find slope for this equation please helpppp
Answer:
-1
Step-by-step explanation:
The slope for the equation is -1
The equation of a line has a formula of y= mx + b
the m is the slope, and looking at the equation from your question, m is -1
What is the relationship between the two quantities in the table? x y 1 30 2 60 3 90 4 120 The relationship between the quantities is “+ 90.” The relationship between the quantities is “Minus 90.” The relationship between the quantities is “+ 30.” The relationship between the quantities is “Times 30.”
Answer:
Your answer is C
Step-by-step explanation:
Have a nice day or night hope it helps
Answer:
It is simply C
Step-by-step explanation:
Algebra transformation
f(x) =
f(x) =
f(x) =
f(x) =
Algebra transformation
for Graph1 f(x)=f(x)+4
for Graph2 f(x)=-f(x-4)
for Graph3 f(x)=f(x-7)
for Graph4 f(x)=f(x-2)-5
Define reflection of graphIn mathematics, the reflection of a graph is a transformation that produces a mirror image of the original graph across a specific line or point. The line or point across which the reflection occurs is called the axis of reflection.
Graph1
Transform the graph by +4 units in y direction.
f(x)=f(x)+4
Graph2
Transform the graph by +4 units in x direction.
f(x)=f(x-4)
Now take the reflection of graph about x axis
f(x)=-f(x-4)
Graph3
Transform the graph by +7 units in x direction.
f(x)=f(x-7)
Graph5
Transform the graph by -5 units in y direction.
f(x)=f(x)-5
Now Transform the graph by -2 units in x direction.
f(x)=f(x-2)-5
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HELP ASAP! QUESTION IN PHOTO
Answer:
6.4
Step-by-step explanation:
1-1.6
4X1.6=6.4
Which plastic process continuously compresses melted plastic through an opening
(called a die) to create a long plastic piece that can then be cut to length?
A^2 + 2AB +B^2
habsbsjabdhjsbfhjbsdjh
What is the greatest common factor of 14 and28
Answer:
7
Step-by-step explanation:
2*7=144*7=28Common factor = 7Answer:
7
Step-by-step explanation:
The greatest common factor is the largest number that goes into both numbers. In this case, that is 7.
40% de_____=60
Es urgente por favor con explicación
Answer:
Hola 15 es tu respuesta
Step-by-step explanation:
por 40% puedes convertirlo en 4, multiplicar por 15 y obtendrás 60
espero que esto ayude
PLEASE HELP ME WITH THIS!!
Answer:
440 cm ²
Step-by-step explanation:
216 cm² +24 cm²= 440 cm²
Un tren parte del reposo al Este y experimenta una aceleración de 0.3 m/s durante 0.5 minutos
A)¿Qué distancia recorre en ese tiempo?
B)¿Que velocidad lleva?
Answer:
Step-by-step explanation:
d = ½at² = ½(0.3)(30²) = 135 m
v = at = 0.3(30) = 9 m/s
Helppp me plsss :(:)
Answer:
5
Step-by-step explanation:
in a 45 45 90 triangle the 2 equal smaller sides (a) are the same and the hyp is a√2
Can someone help meee please
a. The function (f o g)(x) = 3/(3 + x)
b. In interval notation, the domain of the function (f o g)(x) is (-3, ∞).
What is a function?A function is a mathematical equation that shows the relationship between two variables.
a. Given the functions f(x) = x/x + 2 and g(x) = 6/x, we desire to find (f o g)(x). We proceed as follows
We know that (f o g)(x) is a composite function and (f o g)(x) = f(g(x))
Since f(x) = x/x + 2 and g(x) = 6/x,
So f(g(x)) = x/(x + 2)
= g(x)/[g(x) + 2]
= 6/x ÷ (6/x + 2)
= 6/x ÷ (6 + 2x)/x
= 6/x × x/(6 + 2x)
= 6/(6 + 2x)
= 6/2(3 + x)
= 3/(3 + x)
So, f(g(x)) = 3/(3 + x)
b. To find the domain of (f o g)(x) in interval notation, we proceed as follows
Since (f o g)(x) = f(g(x)) = 3/(3 + x)
Now, f(g(x)) is valid when (3 + x) > 0
So, 3 + x > 0
x > - 3
So, in interval notation, the domain of (f o g)(x) is (-3, ∞). We use the open bracket on the left side of the - 3 since -3 is not included.
So, in interval notation, the domain of (f o g)(x) is (-3, ∞).
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Which number doesn't share the same pattern as
2,20, 4,8,300
60ft by 60ft wall and a mirror that’s 60ft by 20ft the mirror covers wat percent of the wall?
Answer:
okay, so we have a wall that is 60 ft. The area of the wall because the wall is a square is just side squared. So the area of the wall is \(60^{2}\), which is 30 600 square feet. The mirror is 20 ft by 60 ft. So the area of the mirror, because its a rectangle is length times width, so that's 20 a 60 so 20 x 60 is gonna give me 1200 square feet. So if we take the area of the mirror and put that over the area, the wall we get 1200 over 30 600, which reduces to one over three. So the mirror is one third the area of the wall.
Step-by-step explanation:
3. Taylor has a $30.00 gift card that she can spend at the store. She has already bought a $9.00 picture frame, and she wants to buy $3.00 journals with the leftover money on the card. How many journals can she buy without going over the card's limit?
Variable:
Inequality:
Solution:
Answer:
She can buy 7 journals
$30.00-$9.00=$21.00
$3.00x7 journals=$21.00
Show the algorithm/abstract strategy to justify the 3/5?
The algorithm/abstract strategy to justify the fraction 3/5 involves interpreting it as a division, performing the division, and obtaining the decimal representation as the results.
To justify the fraction 3/5, we can use the concept of division and understand it as a ratio or proportion.
Algorithm/Abstract Strategy:
Start with the numerator, which is 3.
Identify the denominator, which is 5.
Interpret the fraction as a ratio or comparison between the numerator and denominator.
Understand that 3/5 represents a division where the numerator (3) is divided by the denominator (5).
Perform the division: 3 ÷ 5.
Simplify the division to its simplest form, if necessary.
The result of the division, in this case, is the decimal representation of the fraction.
If required, convert the decimal representation to a percentage or any other desired form.
For example, if we perform the division 3 ÷ 5, the result is 0.6.
So, 3/5 can be justified as the ratio or proportion where the numerator (3) is divided by the denominator (5) resulting in 0.6.
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Please help me, I really don’t understand nothing!
please which class are you
Is the relation shown in the table below a function? (type in yes or no)
Answer:
Yes
Step-by-step explanation:
To know if a table is a function or not, we have to see if 1 input only has 1 output.
Looking at the table each input only has 1 output, so it is a function.
Eli saves money each month to buy a new computer.
The total amount he has saved, T, can be calculated
by the equation T = 83 + 30m, where m is the
number of months since he started saving. What
does the number 83 represent in the equation?
Answer:
The money he already had when he started saving.
Step-by-step explanation:
Eli begin with $83 during month [m] = 0 and saved money onwards starting from month one.
What does the constant (c) in the equation → y = mx + c indicates?The constant (c) in the equation - y = mx + c, indicates the value of (y) at
x = 0. This means that it indicates the value of (y) even before the value of (x) started to increase.
Given is the equation → T = 83 + 30m representing the money saved by Eli each month to buy a new computer.
The equation given is -
T = 83 + 30m
When compared to the equation of the straight line -
y = mx + c
We get -
c = 80
This shows that Eli begin with $83 during month [m] = 0 and saved the money onwards starting from first month.
Therefore, Eli begin with $83 during month [m] = 0 and saved money onwards starting from month one.
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what type of number is 15/10
Answer:
The number 15/10 is a fraction, specifically a rational number. It can be expressed as the quotient of two integers, where 15 is the numerator and 10 is the denominator. In this case, the fraction is equivalent to 1.5, which is a decimal representation of the rational number.
Step-by-step explanation:
Answer:
Fraction, 15/10 is written out as 15 Over 10
to the nearest inchh, find the permiter of a 10-degree sector cut form a ircular disac of raus 11 inches
The perimeter of the 10-degree sector cut form a circular disc of raus 11 inches is approx. 24 inches.
(11) / 180L
=11(pi) / 18L
=11(3.14159) / 18L
=34.55749 / 8L
=1.9198606 inches is the length of the arc
Perimeter =11 + 11 + 1.9198606 P
=23.9198606 P
=23.92 inches
The distance covered around a two-dimensional figure is defined as its perimeter. It specifies the length of a shape, such as a triangle, square, rectangle, or circle. A 2D shape's area and perimeter are the two major parameters that describe it.
The perimeter of each shape varies depending on its measurements. The perimeter of a circle is only stated as the diameter of the circle. However, the procedure for calculating the perimeter of all polygons is the same, which is to add all of their sides.
If we need to compute the length of a circular or rectangular field, we may easily do it using the perimeter formula, given the dimensions.
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What is the coefficient of 20x?
Answer:
20
Step-by-step explanation:
A coefficient is the number that is attached to the variable.
In this case, the number attached to the variable is 20.
Therefore, the coefficient is 20
hope this helps :)
A family of four bought a vacafion
package for $4,000. If the tax rate
is 10% how much will they payin
faxes?
Help will give Brainly points
Answer:
AAS (Angle Angle Side) shows congruence.
Step-by-step explanation:
Basically if you have Two Angles and a side length, which you do, by rule of congruence the rest of the triangle will be equal because two angles and a side length are equal.
Help help help ASAP
Consider the function f(x)=x² + 7x. Form an expression for f(a). f(a)=
The value of the expression f(a) is f(a) = a^2 + 7a, based on the given function f(x) = x^2 + 7x and the value x = a
How to form the expression for f(a)?The given parameters in the question are:
f(x) = x^2 + 7x and
x = a as in f(a)
This means that the equation of the function f(x) is given as:
f(x) = x^2 + 7x
To calculate the value of the function f(a), we simply substitute a for x in the equation of the function f(x) = x^2 + 7x.
This means that we set x to a in the equation of the function f(x) = x^2 + 7x.
So, we have;
f(a) = a^2 + 7a
The above equation cannot be further simplified or expanded
So, we conclude that
Based on the given function f(x) = x^2 + 7x and the value x = a, the value of the expression f(a) is f(a) = a^2 + 7a
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Find the slope of the line
Answer:
the answer is 0
Step-by-step explanation:
Find the multiplicative inverse of
\( \frac{ - 4}{9} + ( \frac{2}{5} + \frac{3}{8} )\)
Multiplicative inverse of given expression is 9/5.
The given expression,
-4/9 + (2/5 + 3/5)
Simplify it,
⇒ -4/9 + (2+3)/5
⇒ -4/9 + 5/5
⇒ -4/9 + 1
⇒ (-4 + 9)/9
⇒ 5/9
So its multiplicative inverse = 1/(5/9) = 9/5
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