Answer:
<em>Riko is wrong because she uses the wrong formula.</em>
Step-by-step explanation:
Given the coordinate points (-2, -3) and (2, -5)
We are to find the distance between the two points
Using the formula:
D = √(x2-x1)²+(y2-y1)²
From the coordinates x1 = -2, y1 = -3, x2 = 2 and y2 = -5
Substitute
D = √(2-(-2))²+(-5-(-3))²
D= √(4)²+(-2)²
D = √16 + 4
D = √20
D = √4*√5
D = 2√5
<em>This shows that Riko is wrong because she uses the wrong formula.</em>
Answer:
x = 16
Step-by-step explanation:
Angle 2 is equal to 39, which means that Angle 1 has to be 51, since Angles 1 and 2 together is a right angle
3x+3=51
Subtract 3, making it 48
Now do 48 divided by 3, and you get 16
Both of your answers are correct. In the first equation, if you were to substitute 3 for x, because you have to do exponents first, you have 3^2, which is 9, and 9*6 =54. If you were to substitute -3 for x again you would have to do the exponents first which would be -3^2 which is 9, and 9*6 = 54.
For the second question, if I substitute 0.75 for t, I get -9 + 18 + 7. This is equal to 16, and therefore the answer would be D. Hope this helps! :D. Let me know if you have questions about my explanation, and feel free to post more questions.
Answer:
(x, y) = (2, 9)
Step-by-step explanation:
For the triangles to be congruent, the hypotenuses must be the same length:
y = x + 7
and the marked leg must be the same length in each triangle:
y -3 = 4x -2
These are two equations in two unknowns (a "system" of equations) that can be solved in any of the usual ways. Since the first equation gives an expression for y, it is convenient to substitute that into the second equation:
(x +7) -3 = 4x -2
x +4 = 4x -2 . . . . . . collect terms
x +6 = 4x . . . . . . . . .add 2
6 = 3x . . . . . . . . . . . subtract x
2 = x . . . . . . . . . . . . divide by 3
y = 2 + 7 = 9 . . . . . .substitute for x in the first equation
The values you're looking for are x = 2, y = 9.
y = -3/5(x-3)
y= (-3/5) x + 9/5
Step-by-step explanation:
Step 1 :
The equation of line in point and slope form is (y- y intercept) = m(x-x intercept)
Where m represents the slope and x1 and y1 are points on the line.
Given (-2,3) and (3,0) are points on the line
m = (y2-y1)/(x2-x1) = (0-3)/(3-(-2)) = -3/5
So the equation of the line in point slope form is
(y-0)= -3/5(x-3) = y = -3/5(x-3) [taking the point as (3,0)]
Step 2 :
The equation of a line in slope and intercept form is y = m x +c
m denotes the slope and the constant c denotes the y intercept (the value of intercept in the y axis when x = 0)
when x = 0, y = 9/5 [using the equation in step 1]
Hence the equation in slope and intercept form is
y= (-3/5) x + 9/5
