Find the slope of the line that passes through the points (-10,-9)and (-10,8).
Answers
(y₂ - y₁) = m(x₂ - x₁)
Plug in the coordinates to find the slope
(-10,-9) and (-10,8)
y₂ = 8 y₁ = -9
x₂ = -10 x₁ = -10
(8 -(-9) = m(-10-(-10)
(8 + 9) = m(-10 + 10)
(17) = m(0)
divide by 0
Now, this is a math error, therefore, we cannot find the slope which has the same x - value, which, in this example is, -10
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- 8x + 10
Write your answer as two ordered pairs:
(x1, y1), (×2, y2)
Separate the values with a comma.
Round, if
necessary, to the nearest hundredth.
Answers
Answer:
To find the x-intercepts of the parabola defined by the equation y = 2x² - 8x + 10, you need to set y equal to zero (because x-intercepts occur when y is zero) and solve for x.
So, you have:
0 = 2x² - 8x + 10
Now, you can use the quadratic formula to solve for x:
x = (-b ± √(b² - 4ac)) / (2a)
In this equation, a = 2, b = -8, and c = 10. Plug these values into the formula:
x = (-(-8) ± √((-8)² - 4 * 2 * 10)) / (2 * 2)
x = (8 ± √(64 - 80)) / 4
x = (8 ± √(-16)) / 4
Since the discriminant (the value inside the square root) is negative, there are no real solutions, which means this parabola does not have x-intercepts in the real number system.
So, there are no ordered pairs (x1, y1) and (x2, y2) for x-intercepts because there are no x-intercepts for this parabola in the real number system.
Step-by-step explanation:
Certainly, let's find the x-intercepts step by step for the equation:
y = 2x² - 8x + 10
Step 1: Set y to zero because x-intercepts occur when y equals zero:
0 = 2x² - 8x + 10
Step 2: Now, we want to solve this equation for x. We can use the quadratic formula:
x = (-b ± √(b² - 4ac)) / (2a)
In this formula:
a is the coefficient of the x² term (which is 2 in this case).
b is the coefficient of the x term (which is -8).
c is the constant term (which is 10).
Step 3: Plug the values of a, b, and c into the formula:
x = (-(-8) ± √((-8)² - 4 * 2 * 10)) / (2 * 2)
Step 4: Simplify the equation inside the square root:
x = (8 ± √(64 - 80)) / 4
x = (8 ± √(-16)) / 4
Step 5: Now, notice that we have a square root of a negative number (√(-16)). In the real number system, we can't take the square root of a negative number. This means there are no real solutions for x.
Step 6: Since there are no real solutions, there are no x-intercepts for this parabola in the real number system. Therefore, there are no ordered pairs (x1, y1) and (x2, y2) for x-intercepts in this case.
I am having trouble with these, could someone please help me.
Answers
Answers
(4x - 6) + (2x + 12) = P
6x + 6 = P ~answer~
(2x-3)(x+6) = A
2x^2 + 12x -3x - 18
2x^2 + 9x - 18 = A. ~answer~
Three times a number, x, increased by four is equal to five times the number, x. Which equation can be used to solve for x?
What is the value of x in the equation 0.2(x + 1) + 0.5x = –0.3(x – 4)?
Answers
Answer:
Part 1)
Part 2)
Part 3)
Part 4)
Step-by-step explanation:
Part 1)
Let
x-----> the number
The expression" Five times a number decreased by nine is equal to twice the number increased by ", is equal to the algebraic expression
Part 2) we have that
Let
x------> the number of nickels
y-------> the number of dimes
z-------> the number of quarters
Multiply by both sides
------> equation A
-----> isolate the variable y
------> equation B
------> equation C
substitute equation B and equation C in equation A
Part 3) we know that
Let
x------> the number
The equation that represent the expression is equal to
Part 4) we have
Multiply by both sides
The third one is 3x+4=5x
Answers
Answer:
x = 8
Step-by-step explanation:
Complimentary angles are angles that add up to 90 degrees. If ABC and DBC are complimentary, then when added together, it equals 90 degrees.
ABC + DBC = 90
6x+13+4x−3 = 90
10x+10 = 90
10x = 80
x = 8
Final answer:
By setting up an equation based on the relationship that the measures of complementary angles sum up to 90 degrees, we can solve for x and find that x equals 8.
Explanation:
To find the value of x, first understand that complementary angles are angles whose sum is 90 degrees. So if ∠ABC and ∠DBC are complementary angles, we know that their measures add up to 90 degrees.
Given ∠ABC=6x+13 and ∠DBC=4x-3, you can form the equation (6x + 13) + (4x - 3) = 90. Simplify the equation to get 10x + 10 = 90. Subtract 10 from both sides of the equation, you'll get 10x = 80. Finally, divide by 10 on both sides to solve for x, we find that x = 8.
Learn more about Complementary angles here:
#SPJ3
A) (2, 1)
B) (-2, 1)
C) (-2, -1)
D) (1, 2)
Answers
A point (x,y) is rotated counterclockwise by 90°. The result will be (-y,x)
If point (1,-2) rotated counterclockwise by 90°, the result will be (2,1)
ANSWER: A. (2,1)