Answer:
XT ≈ 7.62 units
Step-by-step explanation:
calculate the distance d using the distance formula
d =
let (x₁, y₁ ) = X (- 3, - 2 ) and (x₂, y₂ ) = T (- 6, 5 )
substitute these values into the formula for d
d =
=
=
=
=
≈ 7.62 ( to 2 decimal places )
b. x² + 2x - 2,115 = 0
c. x² + 2x + 2,115 = 0
Answer:
x² + 2x - 2,115 = 0
Step-by-step explanation:
Two consecutive odd integers looks like x+2. consecutive numbers are x+1. (odd numbers skip by 2 numbers. like between 5 and 7 is 2. )
SOOOO....
Now we can start. The product of two consecutive odd integers looks like
x(x+2) and it equals 2, 115 ---> x(x+2)=2,115
solve left side: x^2 +2x = 2,115
then move 2115 to left side to have a quadratic equation (make it equal to zero)
now we have:
x^2 +2x -2,115=0
that is you answer!
Hope it helps! ;)
x = 10
x = y + 10
y = x + 10
The axis of symmetry follows the x = h format, where h is the x-value of the vertex. Of the given options, only the equation 'x = 10' fits this format, thus it represents the axis of symmetry for the asked parabola.
The equation that represents the axis of symmetry for a parabola follows the format x = h, where h is the x-value of the vertex of the parabola. In this case, our options are: y = 10x, x = 10, x = y + 10, and y = x + 10. Looking at these options, only the equation x = 10 follows the correct format for an axis of symmetry. Therefore, this equation represents the axis of symmetry for the given parabola.
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Answer:
18
Step-by-step explanation:
Triangle is both acute and scalene.
A polygon with three edges and three vertices is called a triangle. It is one of the fundamental geometric shapes. Triangle ABC is the designation for a triangle with vertices A, B, and C. In Euclidean geometry, any three points that are not collinear produce a distinct triangle and a distinct plane.
here, we have,
we know that,
A scalene triangle has three unequal sides and angles, whereas an acute triangle has three acute angles (measured fewer than 90 degrees). Consequently, the characteristics of an acute scalene triangle are as follows: three lines that cross each other. a trio of sharp angles All sides are not equal.
Given
All angles are less than 90 degrees so it is acute. The sides are of difference lengths so it is scalene.
To know more about acute triangles refer to :
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