What method would you choose to solve the equation 2x2 – 7 = 9? Explain why you chose this method.
Answers
2x² – 7 = 9
2x² - 7-9 = 0
2x² - 16 = 0
This equation is a binomial
2* (x² - 8) = 0
We choose the simplest method . The equation with practice it can be calculated in the memory
The product is equal to 0 if one of the factors is zero
2≠0 ∨ x² - 8 = 0
x² = √8
x = √8 ∨ x= - √8
Answer : x = √8 ∨ x = -√8
By taking -7 to the RHS, you will have
dividing both sides by 2 gives;
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Answers
To find the exact value of sin(135), you need the following formula: sin (a+b) = sin a • cos b - cos a + sin b So in this case, it would be sin (135) = sin (90 + 45) = sin 90 • cos 45 + cos 90 • sin 45 = (1 ·(√2)/2) + (0 · (√2)/2) = (√2)/2).
cos (135)= - (√2)/2
sin (135) = (√2)/2
Final answer:
To find the exact value of cos(135) and sin(135), use the unit circle and refer to the special angles. Cos(135) is equal to -1/sqrt(2) or approximately -0.7071, while sin(135) is equal to 1/sqrt(2) or approximately 0.7071.
Explanation:
The cosine function and sine function are both trigonometric functions that are commonly used in mathematics. The cosine function gives us the ratio of the adjacent side to the hypotenuse in a right triangle, while the sine function gives us the ratio of the opposite side to the hypotenuse. To find the exact value of cos(135) and sin(135), we need to use the unit circle and refer to the special angles.
For cos(135), we can determine that 135 degrees lies in the second quadrant of the unit circle. The reference angle for 135 degrees is 45 degrees. Since 45 degrees is a special angle, we know that cos(45) = 1/sqrt(2) or approximately 0.7071. Since cos is negative in the second quadrant, cos(135) = -1/sqrt(2) or approximately -0.7071.
For sin(135), the same process applies. The reference angle for 135 degrees is 45 degrees, and sin(45) = 1/sqrt(2) or approximately 0.7071. Since sin is positive in the second quadrant, sin(135) = 1/sqrt(2) or approximately 0.7071.
Learn more about Trigonometric functions here:
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Answers
The product of a number p to the fourth power (p⁴) and the same number to the fifth power (p⁵) can be found by multiplying them together.
(p⁴) * (p⁵) = p^(4+5) = p⁹
Therefore, the product of a number p to the fourth power and the same number to the fifth power is p⁹.
Answers
We want to use a coordinate plane to find the area of the given rectangle.
We will see that the area is 36 units squared.
So we only know the vertices of the rectangle, which are:
- (-4, 9)
- (-4, -3)
- (-1, -3)
- (-1, 9).
The first thing we can do, is graph these in a coordinate axis so we can see our rectangle.
Below you can see the graph of the rectangle where the four vertices are graphed and I drew the sides of the rectangle.
Now that it is graphed is easy to see the measures of each side, one side measures 3 units (from -1 to -4 on the x-value) and the other side measures 12 units (from -3 to 9 on the y-value)
Then the area of the rectangle is:
A = 3*12 = 36 square units.
If you want to learn more about rectangles and areas, you can read:
the formula for area of a rectangle is
Area = length x width
since both the length and the width of the rectangle lie on the same x and y axis, we can find the distance between the width and the distance between the length by subtracting
(-4,9) (-4,-3)
these points lie on the same x axis, so they create a vertical line
9-(-3) = 12
12 units is the distance between them
(-4,-3) (-1,-3)
these points lie on the same y axis, so they create a horizontal line
-1-(-4) = 3
3 units is the distance between them
now that we have the length and the width, we can find the area
A = 12 x 3
A = 36 units²
Answers
is 8
=8
10((x/2)+6)=8
divide both sides by 10
(x/2)+6=0.8
minus 6 from both sides
x/2=5.4
times both sides by 2
x=10.8
B)-13/2
C)-6x+14
D)-3/2x+5
An airplane's altitude changed -378 feet over 7 minutes. What was the mean change of altitude in feet per minute?
WORK PLEASE
Answers
pemdas
(8-6x+12)
(20-6x)
multiply/distribute
1/4(20-6x)
5-6/4x=5-3/2x=-3/2x+5
the answer is D
so mean is equivilent to average
per minute means x feet for every one minute=xfeet/1miin=x/1
so just divide
-378/7=-54
mean change in altitude
-54 feet per minute
Second Question:
The average (mean) rate of change is just
Hope this helps :D