I'm stuck with this simultaneous equation. Can anyone help me please?h + 3t = -10
2h - t = -8
Answers
(2h+6t=-20) - (2h+t=-8) to get 5t=-28
therefore t=-5.6
put t into any equation. i.e (2h-t=-8) = 2h+5.6=-8
therefore 2h = -13.6
h=-6.8
h + 3t = -10 ×2
2h - t = -8
2*(h + 3t) = 2*(-10)
2h + 6t = - 20......new equation 1.
2h + 6t = -20
-
2h - t = -8 To eliminate h.
__________
0 + 7t = -20 - -8
7t = -20 + 8
7t = -12
t = -12/7
From first equation: h + 3t = -10, substitute, t = -12/7
h + 3*(-12/7) = -10
h - 36/7 = -10
h = -10 + 36/7
h = 36/7 - 10
h = (36 - 70)/7
h = -34/7
Therefore, t= -12/7 and h = -34/7
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Is y directly proportional to x based on the data in the table?A) YesB) NoNEED ASAP
Tasha is planning an expansion of a square flower garden in a city park. If each side of the original garden is increased by 7 m, the new total area of the garden will be 169 m2. Find the length of each side of the original garden.
What are the zeros of the polynomial function: f(x) = x3 + x2 – 6x ? ...?
Answers
Answer:
-2/3
Step-by-step explanation:
-4x -4x
-4x+12=6y
/6 /6
-2/3+2=y
so the slope is -2/3
hope this helps
Answers
Answers
The height of the Empire State building is 1466.85 ft
Important information:
- She is 100 feet away when she spots it.
- To see the top, she has to look up at an angle of 86.1 degrees.
calculation:
= 1466.85 ft.
where,
3.90 represent the angle of the top to Jada
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Final answer:
The student is asked to utilize trigonometric functions, specifically tangent, to determine the height of the Empire State Building based on an angle of observation and distance from the building. The height of the building can be estimated by multiplying the tangent of the given angle by the distance.
Explanation:
Given that Jada is 100 feet away from the Empire State Building and looks up at an angle of 86.1 degrees, we can use trigonometry to calculate the height of the building. Specifically, we'll be using the tangent of the angle, which is the ratio of the opposite side (the height of the building) to the adjacent side (the distance from Jada to the building).
To calculate this, use the formula:
tangent of angle = height/distance
By transposing the formula, we can find the height.
Height = Tan(angle) × Distance
Insert the given values:
Height = Tan(86.1°) , 100 feet
Therefore, using the appropriate trigonometric values, you can calculate the approximate height of the Empire State Building. This question does not require the use of a number of stories or the height of one story as previously suggested, as these specifics are not supplied within the question's context.
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Answers
The length of the middle segment RS is determined as 18.
How to calculate the middle segment?
Let's assume that the three consecutive even integers are x, x + 2, and x + 4
So, the length of PR (x) + the length of RS (x + 2) + the length of SQ (x + 4) equals the total length of PQ (54).
Mathematically, this can be represented as:
x + (x + 2) + (x + 4) = 54
Now, let's solve for x:
3x + 6 = 54
Subtract 6 from both sides:
73x = 48
Now, divide by 3:
x = 16
So, the first even integer (PR) is 16, the second even integer (RS) is 16 + 2 = 18, and the third even integer (SQ) is 16 + 4 = 20.
Thus, the length of the middle segment RS is 18.
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Answer:
RS = 18
Step-by-step
PR = x
RS = x+2
SQ = x+4
x+(x+2)+(x+4)=54
3x+6=54
3x=48
x=16
PR = 16
RS = 18
SQ = 20
Answers
Answer:
a=6 and y=-7, thats all bruh, what we supposed to solve like fr xD
Answers
There are total of pet fish and reptiles in the United States.
Define the term expression?
Calculations that include changeable altering multipliers, joining, removal, and random subdivision must be done. They could accomplish the following if they united: An algorithm, some data, and a mathematical problem.
To find the total number of pet fish and reptiles in the United States, we simply need to add the number of pet fish and pet reptiles together:
Total =
To add these numbers together, we need to express them using the same power of 10. We can do this by rewriting 9.4 * 10^6 as 0.94 * 10^7:
Total =
Now, we can add the numbers together:
Total =
= (since
)
=
Therefore, there are a total of pet fish and reptiles in the United States.
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Therefore , the solution of the given problem of expressions comes out to be the total number of pet fish and reptiles in the US is roughly
1.494 * 10⁸.
What precisely is an expression?
It is necessary to perform calculations which it involve joining, removal, and random subdivision variable changing multipliers. If they banded together, they could do the following: A mathematical challenge, some information, and an algorithm. A statement of equation truth contains formulas, elements, and arithmetic procedures like additions, subtractions, errors, and groupings. It is possible to assess and analyse words and phrases.
Here,
The number of fish and reptiles kept as pets must be added to the overall number of pets:
=> 1.4 * 10⁸ + 9.4 * 10⁶
We must change these numbers to the same power of 10 in order to add them. Since 108 is equal to 100 million,
we can achieve this by moving the decimal point in the second figure two places to the right:
=> 1.4 * 10⁸ + 0.094 * 10⁸
We can now multiply the numbers:
=> 1.494 * 10⁸
Thus, the total number of pet fish and reptiles in the US is roughly
=> 1.494 * 10⁸.
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