The two congruent base angles tell us that this triangle is isosceles, meaning it has two congruent sides. Therefore, we can set the two expressions equal to each other and solve from there.
9x - 73 = 3x + 23
6x - 73 = 23
6x = 96
x = 16
Side = 3(16) + 23 = 48 + 23 = 71
Hope this helps!
Answer:
x = 16
Step-by-step explanation:
Since the base angles are the same, the side lengths are the same
9x- 73 = 3x+23
Subtract 3x from each side
9x - 3x- 73 = 3x+23 -3x
6x- 73 = 23
Add 73 to each side
6x - 73 +73 = 23+73
6x = 96
Divide by 6
6x/6 = 96/6
x =16
Find the length of x
Answer:
20
Step-by-step explanation:
Since the triangles are similar then the sides must be proportional
10/6 = x/12 cross multiply expressions
6x = 120 divide both sides by 6
x = 20
Can someone please help me with Q2?
Answer:
To find the point of intersection, you have to set both equations equal to each other and solve. After solving, plug it back into one of the equations. (Its pretty simple so don't worry :] )
y1 = 2x + 4
y2 = 3x-9
y1 = y2
2x + 4 = 3x - 9
4 = x - 9
x = 13
--> Plug x back into an equation for y coordinate. I will be using y1.
2(13) + 4
26 + 4 = 30
y = 30
The point of intersection is (13,30)
\HURRY PLZ
evaluate k divided (-11) for k=33
Answer:
-3
Step-by-step explanation:
k/-11
Let k =33
33/ -11
-3
Answer:
-3
Step-by-step explanation:
33/-11 = -3
NOTE
division and multiplication = negative
addition and subtraction are a pair.
I hope this helped!
How many liters of a 10% alcohol solution must be mixed with 40 liters of a 50% alcohol
solution to obtain a 40% alcohol solution?
Answer:
13 [tex]\frac{1}{3}[/tex]
Step-by-step explanation:
[tex]20+.1x=.4\left(40+x\right)[/tex]
x=40/3 = 13 [tex]\frac{1}{3}[/tex]
If p (x) = x4 + 2x2 + 1 and q (x) = x4 – 2x2 + 1, find p (x) -q (x).
Answer:
the answer is 4x2
Step-by-step explanation:
p(X)-q(X) = x4 + 2x2 + 1 - ( x4 - 2x2 + 1 )
p(X)-q(X) = x4 + 2x2 + 1 - x4 + 2x2 - 1 )
p(X)-q(X) = 2x2 + 2x2
p(X)-q(X) = 4x2
Answer:
p(x) - q(x) = 4x²
Step-by-step explanation:
p(x) - q(x)
= [tex]x^{4}[/tex] + 2x² + 1 - ([tex]x^{4}[/tex] - 2x² + 1) ← distribute parenthesis by - 1
= [tex]x^{4}[/tex] + 2x² + 1 - [tex]x^{4}[/tex] + 2x² - 1 ← collect like terms
= 4x²
Please hurry I will mark you brainliest
Answer:
D y=2/3 x +1
y= -3/2 x+2
Step-by-step explanation:
Perpendicular lines have slopes that multiply to -1
The equations are written in slope intercept form
y = mx+b where m is the slope
A 1/5* 5 = 1 not perpendicular
B 2/3 * 3/2 = 1 not perpendicular
C -1/5 * -5 = 1 not perpendicular
D 2/3 * - 3/2 = -1 perpendicular
Find the derivative of f(x) = 6/x at x = -2. (2 points)
Using the definition of the derivative,
[tex]\displaystyle f'(-2) = \lim_{x\to-2}\frac{f(x) - f(-2)}{x - (-2)}[/tex]
[tex]\displaystyle f'(-2) = \lim_{x\to-2}\frac{\dfrac6x + 3}{x + 2}[/tex]
[tex]\displaystyle f'(-2) = \lim_{x\to-2}\frac{\dfrac{6+3x}x}{x + 2}[/tex]
[tex]\displaystyle f'(-2) = \lim_{x\to-2}\frac{6+3x}{x(x + 2)}[/tex]
[tex]\displaystyle f'(-2) = \lim_{x\to-2}\frac{3(x+2)}{x(x + 2)}[/tex]
[tex]\displaystyle f'(-2) = \lim_{x\to-2}\frac{3}{x} = \boxed{-\dfrac32}[/tex]
What is the sign of 3ay when 2 > 0 and y < 0?
Choose 1 answer
Positive
Negative
Zero
Giving brainliest! View the image!
Answer:
a- 15 b- 1292^cm this is the answer
I'M BEGGING YOU PLEASEEEE
A carnival game has 4,000,000 dollars as prizes. The first ticket drawn wins $15, the second ticket drawn wins $45, the third ticked wins $135 and so on.
a) How many tickets can be drawn without giving away more than the allotted prize money?
b) how much money is left over after all the prizes are awarded?
I WILL GIVE BRAINLIEST
if possible brainlist?
Step-by-step explanation:
A i think 3
and
B 3,999,805 will be left over
which one is the right answers
Answer:
B
Step-by-step explanation:
n is the number of litres.
if you substitute 1 for 'n' then you will get :
C = 8 + 1.5(1)
C = $9.5
$9.50 for every litre
Answer:
C is correct
Step-by-step explanation:
The $8 charge is only once regardless of how many liters are ordered, so only answer C works.
Can someone help me out
Answer:
10.2
Step-by-step explanation:
195×2×3×π/360
= 13π/4
= 10.2 (rounded to the nearest tenth)
Answered by GAUTHMATH
please help!! i have no idea!
Answer:
Step-by-step explanation:
I think that you cut off the leading number in the BD segment 8cm appears to be truncated....
if that number was in the image....
BC would be sqrt(52.3 ^2 + ?.8^2)
if you have BC then
sin(θ)/BC = sin(90)/18.6
Which graph represents a function?
1, 2, 3, or 4
Answer:
The given graph is a function.
Step-by-step explanation:
There is only one given graph, and that graph is a function. In order to determine which graph is a function, conduct the vertical line test. Can a vertical line pass through the represented data set without crossing two y-values? (i.e. A 'sideways parabola' is not a function).
PLZ HELP I'LL GIVE BRAINY!!!! AND EXPLAIN
For this exponential function,
what is the output value (y),
when the input value (x) is 1?
y = 4.3x
(1, [?])
you have to plug in the x value to discover the y
y= 4.3 x 1
y = 4.3
so, the ordered pair is (1, 4.3)
hope it helps :)
The battery standby duration (in hours) of a new model of cell phone is known to be normally distributed. Ten pieces of such new model of cell phone supplied from the manufacturer are randomly chosen and the actual standby durations are recorded as below:
48.2 47.8 45.6 47.2 49.3
51.2 44.2 45.4 49.2 43.6
The manufacturer claimed that this new model of cell phone has the mean battery standby duration of longer than 46.5 hours. Test at 1% significance level if this claim is true.
x = number of hours
want to find probability (P) x >= 13
x is N(14,1) transform to N(0,1) using z = (x - mean) / standard deviation so can look up probability using standard normal probability table.
P(x >= 13) = P( z > (13 - 14)/1) = P(z > -1) = 1 - P(z < -1) = 1 - 0.1587 = 0.8413
To convert that to percentage, multiply 100, to get 84.13%
Please mark me brainliest
15÷7500
what is the answer
Answer:
Answer is 0.002
Step-by-step explanation:
15÷7500 = 0.002
Answer:
ampota ma,pakyu
Step-by-step explanation:
what is the answer dapalon taka karun
below are properties of a square which one is not a all sides are equal b all angles are right angles C has five interior angles d diagonals are equal
Answer:
has five interior angles
a square is a quadrant meaning it has four interior angles
CAN SOMEONE HELP PLEASE
Answer:
72
The result is rational because it can be written as the ratio of two integers and its decimal expansion can terminate or repeat.
Answered by GAUTHMATH
In an input/output table, all outputs are 0, regardless of the input. What could the function equation be? Select all that apply.
y = 0 x
y = x
y = x/0
y = 0/x
Answers:
choice A) y = 0x
choice D) y = 0/x
========================================================
Explanation:
Choice A is the same as y = 0 because 0x turns into 0. Multiplying 0 with any number always leads to 0.
Similarly, choice D is the same as y = 0 as well. Dividing 0 over any nonzero value leads to 0. Note the key term "nonzero" here. We cannot have 0 in the denominator. So x = 0 is not allowed for choice D.
So for any nonzero x, we have 0x and 0/x result in the same thing.
-----------
Extra info:
Choice B can be ruled out because something like x = 2 leads to y = 2.
Choice C is ruled out because we can never have 0 in the denominator.
Nick drew a rectangular political cartoon that measures 2 inches by 4 inches. He wants to enlarge the cartoon by a scale factor of 3 for a poster presentation. The area of the original cartoon will be what fraction of the area of the enlarged cartoon?
Answer:
I believ the answer is 6/12 or 1/2
Step-by-step explanation:
2x3 = 6 and 4x3 = 12 and 6/12 simplified would be 1/2
Answer:
I believe the answer is 6/12 or 1/2
Step-by-step explanation:
Insert the missing number.
4
6 9 14
23
40
?
138
266
Answer: The missing number is 73
Step-by-step explanation:
Given:
4, 6, 9, 14, 23, 40, ?, 138, 266
Solve:
First, we try arithmetic patterns.
6 - 4 = 2
9 - 6 = 3
14 - 9 = 5
23 - 14 = 9
40 - 23 = 17
Clearly, there aren't arithmetic patterns.
Then, try through multiplication, exponents, and combination.
Finally, the pattern is multiplied by 2 on each number, then subtract 2 starting with 4 and add 1 for each increasing number.
4×2-2=6
6×2-3=9
9×2-4=14
As it goes on, the missing number would be:
40×2-7=73
Hope this helps!! :)
Please let me know if you have any questions
x+y=4 and 2x+3y=2 then find x and y
Answer:
x=10, y=-6
Step-by-step explanation:
1) express x from the first equation x+y=4 x=4-y
2) It is the system of equations, so both equations are simultaneous.
you can replace x to 4-y in the second one
2 *(4-y) +3y=2
8-2y+3y= 2
y=-6
x= 4-y=4-(-6)=10
The answer is x=10, y=-6
help me pls pls help
Answer:
third one is a required answer.
x =2y
or
1/x=y
Answer:
Option 3, where x = 6, y = 3; x = 10, y = 5; x = 14, y = 7
Step-by-step explanation:
Step 1: Define proportional relationship
According to Khan Academy, "proportional relationships are relationships between two variables where their ratios are equivalent. Another way to think about them is that, in a proportional relationship, one variable is always a constant value times the other."
Step 2: Find the proportional relationship
Looking at option 3, we see that x is always 2 times bigger than y. This means as y increases, x is twice that amount. So if y is 10, x would be 20 and so on. Therefore, Option 3 is the correct answer.
Answer: Option 3, where x = 6, y = 3; x = 10, y = 5; x = 14, y = 7
Evaluate: 2-4 А. =100 В. -8 ОО С. -16 D. 1 16
Answer:
D. 1/16
Step-by-step explanation:
Evaluate: 2^-4
А. =100
В. -8ОО
С. -16
D. 1/16
Given
2^-4
= 1 / 2⁴
= 1 / (2 * 2 * 2 * 2)
= 1 / 16
Therefore,
2^-4 = 1/16
D. 1/16
Multi step equations!
No links, thank you<33
Answer:
22/5
Step-by-step explanation:
3m+18+2m=40
5m=40-18
5m=22
m=22/5
[tex] \bf \large \longrightarrow \: 3m \: + \: 18 \: + \: 2m \: = \: 40[/tex]
[tex] \bf \large \longrightarrow \:5m \: + \: 18 \: = \: 40[/tex]
[tex] \bf \large \longrightarrow \:5m \: = \: 40 \: - \: 18[/tex]
[tex] \bf \large \longrightarrow \:5m \: = \: 22[/tex]
[tex] \bf \large \longrightarrow \:m \: = \: \frac{22}{5} \\ [/tex]
[tex] \bf \large \longrightarrow \:m \: = \: \cancel\frac{22}{5} \: \: ^{4.4} \\ [/tex]
[tex] \bf \large \longrightarrow \:m \: = \: 4.4[/tex]
Solve 2x−10y=18 for x.
Answer:
x = 5y + 9
Step-by-step explanation:
2x - 10y = 18
(2x - 10y) + 10y = 18 + 10y
2x - 10y + 10y = 10y + 18
2x = 10y + 18
x = 5y + 9
WILL GIVE BRAINLIEST. Given: SLant Prism, m
Hi! I ran into a similar problem so i will try, but sorry if i get it wrong, so basically all you do i
The equation of a function and its table of values has been given. Complete the table.
=−2+5
Answer:
X -2 - 1 0 1 2
Y 9 7 5 3 1
Step-by-step explanation:
Given equation:
y = -2x + 5
Find:
Complete table
Computation:
Missing table;
X -2 - 1 0 1 2
Y
y = -2x + 5
When x = -2
y = -2x + 5
y = -2(-2) + 5
y = 9
When x = -2
y = -2x + 5
y = -2(-1) + 5
y = 7
When x = -2
y = -2x + 5
y = -2(0) + 5
y = 5
When x = -2
y = -2x + 5
y = -2(1) + 5
y = 3
When x = -2
y = -2x + 5
y = -2(2) + 5
y = 1
X -2 - 1 0 1 2
Y 9 7 5 3 1
Function g is the result of these transformations on the parent sine function:
-vertical stretch by a factor of 3
-horizontal shift left pi/2
-units vertical shift down 4 units
Below is the question from the Edmentum test :)
Answer:
g(x) = 3·sin(x + π/2) - 4
Step-by-step explanation:
The given (general form of a) sin function is g(x) = A·sin(x + C) + D
Where;
A = The amplitude (the vertical stretch) = 3
C = The phase shift, left = π/2
D = The vertical shift = 4 units down = -4
Therefore, given that in the parent function, we have f(x) = sin(x), by substituting the values of A, C, and D to complete the equation modeling the function g, we get;
g(x) = 3·sin(x + π/2) - 4