Help please!!! Anything would be appreciated :3
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0.42x2=0.84
4x+19=6x-7
Please and thank you.
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As the given image is of a triangle and MN is one of the sides of the triangle. After solving the given equation, the value is 71.
What are the sides of triangle?
There are three sides and three angles in every triangle, some of which may be the same. In the case of a right triangle, the three sides are given unique names: the hypotenuse, which is the side that faces the right angle, and the legs, which are the other two sides.
Every triangle is bicentric and convex. A triangle with angles requires at least one side in order to determine the length of the side. The length of the triangle's sides can then be determined using the law of sines.
4x + 19 = 6x - 7
19 + 7 = 6x - 4x
26 = 2x
26 / 2 = x
13 = x
When the derived value of x is putted in the given equation, the value will be,
4x + 19 = 4 × 13 + 19 = 52 + 19 = 71
Therefore, after solving the given equation, the value is 71.
Learn more about sides of triangle from here:
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Answer:
MN = 71
Step-by-step explanation:
You first gotta know the value of x by putting both equations in line!
4x + 19 = 6x - 7
4(13) + 19 = 6(13) - 7
52 + 19 = 78 - 7
71 = 71
Answer:x = 13
Then we already have the length of MN!
Answer:MN = 71
Answers
2x-3-length
A=lxw
104=(2x-3)(x)
104=2x^2-3x
52=x^2-3/2(x)
52+9/16=x^2-3/2(x)+9/16
841/16=(x-3/4)^2
29/4=x-3/4
x=32/4 or 8
length is 2(8)-3 which is 13 and width is 8
Answer:
l = 13 m
Step-by-step explanation:
Let's call the width of the rectangle x. Then we can form an expression for the length of the rectangle: 2x - 3
Now we need to form an equation for the area of the rectangle and solve it:
x(2x - 3) = 104
2x² - 3x = 104
2x² - 3x - 104 = 0 - now we need to factorize the equation
(2x + 13)(x - 8) = 0
Now we can say that x = 8 or x = -6.
Because we cannot have a negative length, x = 8 m.
Now we can workout the length using the expression that we formed at the beginning:
2x - 3 = l
2(8) - 3 = l
l = 16 - 3
l = 13 m
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Look at the sequence a b c d... This is read forward.
z y x..... The alphabets are read backwards so w is the next.
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Exponential growth consistently raises the base amount/number to a certain degree. The above answers increase a digit by a number of percentage steadily over a period of time.
Answer: Shasta increases the amount she saves each month by 5%.
The amount of cell phone subscribers in a small town increases by 75% each year.
The price of a stock goes up 12% each year.
Step-by-step explanation:
The exponential growth happens when a given quantity increases by the constant rate of proportion in each given time period.
- Shasta increases the amount she saves each month by 5%.
This is an example of exponential growth with rate of increase 5%.
- The population over the last decade of the Black Rhino is such that it is nearing extinction.
This shows decrease in population , so this cannot be example of exponential growth.
- A tennis tournament starts with 64 participants. Each round, half the players are eliminated.
This shows decrease in participants , so this cannot be example of exponential growth.
- The amount of cell phone subscribers in a small town increases by 75% each year.
This is an example of exponential growth with rate of increase 75%.
- The price of a stock goes up 12% each year.
This is an example of exponential growth with rate of increase 12%.
B. The range is y > 3.
C. The initial value is 3.
D. The initial value is 9.
E. The simplified base is √2.
F. The simplified base is 3√2.
Answers
Option B is incorrect: the range is not y > 3, because, for negative values of x, f(x) < 3, e.g. for x = -1, f(x) = 3 * sqrt(18^(-1)) = 3*sqrt(1/18) = 3*0.2357 = 0.7071 < 3.
Option C is correct: f(0) = 3*sqrt(18^0) = 3*sqrt(1) = 3 * 1 = 3
Option D is incorrest: (see working for option C)
A) The domain is all real numbers;
C) The initial value is 3; and
F) The simplified base is 3√2.
Explanation:
A) The domain is the set of numbers that can be use for x. In this function, there are no domain restrictions; this means there are no values for x that will not give you a value for y. This means that all numbers work, which we say is "the set of all real numbers."
C) To find the initial value (starting point), substitute 0 for x:
f(x) = 3(√18)ˣ
f(0) = 3(√18)⁰
f(0) = 3(1) = 3
Thus the initial value is 3.
F) The base of the current function is √18; this is because that is what is raised to a power. If we simplify this, we find the prime factorization of 18, looking for pairs of factors to take out.
The prime factorization of 18:
18 = 2*9
9 = 3*3
This means 18 = 2*3*3; it gives us √18 = √(2*3*3). We have a pair of 3's under the radical, so we take a 3 out; this leaves a 2 under the radical:
√18 = √(2*3*3) = 3√2.