ANSWER: the same y intercepts
good luck on the test or quiz :)
Solve for x.
And solve for Z
From Tales theorem: [tex]\dfrac{8x-2}{2x+1}=\dfrac{3z+z+22}{3z}[/tex]
Solving for x:[tex]\dfrac{8x-2}{2x+1}=\dfrac{4z+22}{3z}\\\\(8x-2)(3z)=(2x+1)(4z+22)\qquad\qquad\{divide\ both\ sides\ by\ 2\}\\\\(4x-1)(3z)=(2x+1)(2z+11)\\\\12xz-3z=2x(2z+11)+1(2z+11)\\\\12xz-2x(2z+11)=3z+2z+11\\\\x(12z-4z-22)=5z+11\\\\x(8z-22)=5z+11\qquad\qquad\{divide\ both\ sides\ by\ (8z-22)\}\\\\x=\dfrac{5z+11}{8z-22}[/tex]
Solving for z:[tex]\dfrac{8x-2}{2x+1}=\dfrac{4z+22}{3z}\\\\(8x-2)(3z)=(2x+1)(4z+22)\qquad\qquad\{divide\ both\ sides\ by\ 2\}\\\\(4x-1)(3z)=(2x+1)(2z+11)\\\\(12x-3)(z)=(2x+1)(2z)+(2x+1)(1)\\\\(12x-3)(z)-(4x+2)(z)=(2x+1)\\\\\ [(12x-3)-(4x+2)](z)=(2x+1)\\\\(12x-3-4x-2)(z)=(2x+1)\\\\(8x-5)(z)=(2x+1)\qquad\qquad\{divide\ both\ sides\ by\ (8x-5)\}\\\\z=\dfrac{2x+1}{8x-5}[/tex]
Can all arithmetic sequences be modeled by a linear function?
Answer:
yes
Step-by-step explanation:
"We can think of an arithmetic sequence as a function on the domain of the natural numbers; it is a linear function because it has a constant rate of change."
2 triangles are shown. They have one congruent side. The first triangles has angle measures of 98 degrees and 35 degrees. The second triangle has angle measures of 35 degrees and 47 degrees. Are the triangles congruent? If so, how do you know?
Answer: Yes.
Step-by-step explanation:
Two triangles are said to be congruent when the sides of the triangles are all of same length and also when their angles are equal as well.
In this case, the first triangles has angle measures of 98 degrees and 35 degrees. This means that the 3rd angle in the triangle will be:
= 180° - (98° + 35°)
= 180° - 133°
= 47°
Since the second triangle has angle measures of 35 degrees and 47 degrees. The 3rd angle will be:
= 180° - (35° + 47°)
= 180° - 82°
= 98°
The triangle is congruent as they all have same angles
Answer:
yes because of ASA or AAS
Step-by-step explanation
got it right
Find −369+(−7) need help
Answer:
-376
Step-by-step explanation:
I hope that this helps you out..
Answer:
-376
Step-by-step explanation:
what was the price of 1 mug before the sale
tip
I need the hold thing to know the question like or the picture
What is .09375 as a fraction
Answer:
.09375 as a fraction is [tex]\frac{3}{32}[/tex]
0.09375 as a fraction in its lowest form is 3/32.
To convert the decimal number 0.09375 into a fraction, we can express it as the numerator over the appropriate power of 10 in the denominator.
The decimal number 0.09375 can be written as 9375/100000.
To simplify this fraction, we can divide both the numerator and denominator by their greatest common divisor (GCD).
In this case, the GCD of 9375 and 100000 is 3125,
So, we can divide both numbers by 3125:
= 9375 ÷ 3125 / 100000 ÷ 3125
= 3/32
Therefore, 0.09375 as a fraction in its lowest form is 3/32.
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Help & explain answer pls
Charlotte measures the distance from the center of a circular garden to its edge and finds it is 43 meters. How long is the path which goes around the outside of the garden?
Answer: 270.29 meters
Step-by-step explanation:
This is a circle which means that the distance that Charlotte measured from the center of a circular garden to its edge is the radius.
The length of the path which goes around the garden would therefore be the circumference.
Circumference = π * diameter
Diameter = radius * 2
= 43 * 2
= 86 meters
Circumference = 22/7 * 86
= 270.29 meters
The price of a flight was increased by 3% to £650. What was the price before the increase?
Give your answer to the nearest penny.
Find the roots for y = (2x-3)(x+5) (The x values)
Answer:
x = [tex]\frac{3}{2} , -5[/tex]
Step-by-step explanation:
We know that we have to find the roots of the equation - which is another way of saying the x-intercepts, or the points that are on the x-axis that the graph passes through. All points on the x-axis have a y-value of 0. So, in order to find the roots for this equation, we need to find which values of x make the y equal 0.
The equation has already been factored out. So, we just need to find which values of x for each of the expressions in the parentheses will make the result 0. To do this, set the expressions in the parentheses to 0 and isolate x.
1) First, let's look at (2x-3). Write the equation 2x-3 = 0. Then, isolate x:
[tex]2x-3 = 0\\2x = 3\\x = \frac{3}{2}[/tex]
Therefore, [tex]\frac{3}{2}[/tex] is one of the roots.
2) Next, let's look at (x+5). Write the equation x+5 = 0. Then, isolate x:
[tex]x+5 = 0\\x = -5[/tex]
Therefore, -5 is a root as well.
The roots of the equation would be [tex]\frac{3}{2}[/tex] and -5.
Need help please will give brainliest
Answer:
x = 60
Step-by-step explanation:
The formula for this kind of question is
Area of sector = x / 360 * pi * r^2 = 24*pi
x/360 * pi * 12^2 = 24 pi
x/360 * pi * 144 = 24 pi the pi s cancel out
x / 360 = 24/144 Multiply both sides by 360
x = 24 * 360/144
x = 60
The question and possible answer are in the picture thank you!
Answer:
pretty sure its the first one
Step-by-step explanation:
Can somebody help me on this thanks
Answer:
Add 3/4 to both sides (the last option)
Step-by-step explanation:
Since you want to isolate f and the expression on one side is f - 3/4, you have to add 3/4 so that the -3/4 cancels out. When you do that, you also have to add 3/4 to the other side so that the equation stays balanced.
What is the area of the parallelogram?
36 m 2
18 m 2
24 m 2
72 m 2
Answer:
36m^2
Step-by-step explanation:
A=bh
=6m*6m
=36m^2
find the magnitudes of 9.109 X 10^-31
9514 1404 393
Answer:
9.109×10^-31
Step-by-step explanation:
The magnitude of a positive number is the number itself.
9.109×10^-31
help! Giving out extra points and brainlist
Please answer for brainliest and 10 points !!
Answer:
4 1/2 or -1 1/2
Step-by-step explanation:
1 1/3-3= -1 1/2
1 1/2+3=4 1/2
1. Evaluate
2
for x = 1
2
and y = 3
2. Nick is renting a car while his car is in the shop being repaired. His budget for the rental is at most
$120. If the cost to rent the car is $25 plus $.75 per mile how many mile can he drive it? Write and
solve an inequality
Answer:
Step-by-step explanation:
Help pls
The first few partial sums of a series consisting of only
positive terms are shown.
Answer:
The partial sums are increasing in value.
The series converges to the same value as what the partial sums approach.
The partial sums appear to approach 0.33.
The series might converge to One-third.
Step-by-step explanation:
Answer:
The partial sums are increasing in value.
The series converges to the same value as what the partial sums approach.
The partial sums appear to approach 0.33.
The series might converge to One-third.
Step-by-step explanation:
A rectangular prism measures 7 & 1/2 cm by 12 cm by 15 & 1/2 cm. Calculate the number of cubes with edge length 1/2 cm that fit in this prism.
Answer: 8 cubes
Step-by-step explanation:
Volume of a rectangular prism is length × height × width
Length=7 1/2
Width= 15 1/2
Height=12
Volume of the prism is therefore:
7 1/2×12×15 1/2= 1395cm3
No of cubes with edge length 1/2 to fit into the prism will be:
Volume of cube is L*W*H
1/2*1/2*1/2= 1/8cm3
Therefore the no of cubes to fit into the Prism will be:
1395/(1/8)= 11160 cubes.
If one was stuck,the number of 1/2 edge length
cube to fit into 1cm will be:
1/(1/8)= 8 cubes
Solving linear equation study island
Answer:
Step-by-step explanation:
(x-9)/5))(5) = 2(5)
answer is B
I NEED HELP PLSS
Functions of composition~
Given that f ( x ) = x 2 − 6 x + 8 f(x)=x 2 −6x+8 and g ( x ) = x − 2 g(x)=x−2, find f ( x ) + g ( x ) f(x)+g(x) and express the result in standard form.
Answer:
Step-by-step explanation:
Your problem → f(x) = x^2 - 6x + 8,g(x) = x - 2,find f(x) + g(x)
f(x)=x^2-6x+8
g(x)=x-2
f(x)+g(x)=?
Now f(x)+g(x)
=(x^2-6x+8)+(x-2)
=x^2-6x+8+x-2
= x^2 - 6x + x + 8 -2
=x^2 -5x + 6
I can't change it to standard form but i hope this helps:)
Can someone pls help me with this! I need help!!!
A ramp of 13 feet in length is constructed in front of a house that is at a height of 5 feet from the ground. What is the horizontal distance between the front door and the point where the ramp touches the ground?
The horizontal distance between the front door and the point where the ramp touches the ground will be equal to 12 feet.
What is the Pythagoras' Theorem?According to the Pythagoras theorem, if a triangle has a straight angle (90 degrees), the hypotenuse's square is equal to the total of its other two sides' squares.
As per the given information in the question,
Length of the ramp, h = 13 feet
Height of ramp from the ground, p = 5 feet
Let the horizontal distance is b.
Then, use the equation of Pythagoras' Theorem,
h² = p² + b²
13² = 5² + b²
b² = 169 - 25
b = √144
b = 12 feet.
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What is 12.6254748322 rounded to nearest tenth
Answer:
12.6
Step-by-step explanation:
Answer:
13.0
Step-by-step explanation:
I WILL MARK BRAINLIEST
World Without Engines: Explain what todays world without engines would be like? How would it change your life? The world? The way we do things? Please write in paragraph format and include introduction, body, and conclusion.
A world without engines is certainly an appealing idea. Although engines are a vital transportation source that allow us to move around and travel much faster and efficiently, passenger vehicles are a major pollution contributor. they produce large amounts of carbon monoxide, nitrogen oxides, and other forms of pollution. Removing all engines would definitely have downsides, but the significant amount of help it would provide towards lowering pollution rates would be extremely impactful towards our environment and earth. Engines are important parts of human life, and getting things done faster is much more efficient, without engines humans would have to do many things by hand and it would slow production of many things that are necessities. There are also many situations regarding human lives that require the fastest transportation possible, and without engines many things wouldn't get done fast enough. In conclusion, a world without engines would have many benefits towards the environment, however, we've grown to be too dependent on these machines and without them production of many things would start to slow and many trips around the world would be near impossible or extremely delayed.
sorry about it being one big block, wasnt sure how u wanted it to be spaced. hope this helps atleast a little, gl
Please help me! Brainliest to the correct answer along with 25 points, no point thieves please! If I don't get this right I might fail my class! The question is in the picture!
Answer:
Option D
Step-by-step explanation:
5 * 58
= 5 ( 50 + 8 ) ~This is because 50 + 8 is the same as 58, essentially rewriting the problem
5 * 50 + 5 * 8 ~This is distributing the 5, so every term in this the parenthesis is multiplied by 5
250 + 40 ~This is simplifying the problem
290 ~This is the final answer
Answer:
my mind cant take that Kacchan, you know that....
Step-by-step explanation:
sorry I couldn't help Kacchan!!!
Love: Deku <3
Divide £128 in the ratio 1:3
Answer:
£32 : £96
Step-by-step explanation:
add the parts of the ratio, 1 + 3 = 4 parts
Divide the amount by 4 to find the value of one part of the ratio
£128 ÷ 4 = £32 ← value of 1 part of the ratio, then
3 parts = 3 × £32 = £96
£128 in the ratio 1 : 3 is £32 : £96
The amount, £128 when divided in the ratio 1:3 is; £32: £96.
RatiosWe are required to divide in the ratio 1:3;
Therefore, we must divide the total by (1+3); so that we have;
128/4= 32.Therefore, each unit is £32 and 3× £32 = £96.
The amount, £128 when divided in the ratio 1:3 is therefore; £32: £96.
Read more on Ratios;
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➥ The base of a parallelogram is thrice its height. If the area is 897 sq.cm. Find the base and height of the parallelogram.
Answer:
The height of parallelogram is 51.87 cm
Step-by-step explanation:
Let The height of a parallelogram = a cm
Then
The base of a parallelogram = 3a cm
So by the given condition
3a×a = 897
3a^2 = 897
a^2 = 897/3
a^2 = 299
a = 17.29
So the height of parallelogram = 3×17.29= 51.87 cm
Find each function value f(3) if f(x) = 2x + 2
Answer: The function value is 8.
Step-by-step explanation: Substitute 3 for x.
f(3) = 2(3) +2f(3) = 6 +2f(3) = 8Answer:
Step-by-step explanation:
okay soooo first you must multiply 3 by 2 because 3 is the element of the function (x)
your answer should be 6
now add 2 to your answer (6) and you should get 8