Answer:
The answer is 4 5/12
Step-by-step explanation:
5/3 + 11/4
=5x4 - 3x4 + 11x3 - 4x3
=20/12 + 33/12
=53/12
Simplified
= 4 5/12
Hope this helps. :D
The equation of a line in the slope intercept form is expressed as
y = mx + c
where
m represents slope
c represents y intercept
The formula for calculating slope is expressed as
m = (y2 - y1)/(x2 - x1)
From the information given, the line passes through an initial point of (- 9, 6) and (1, 27). This means that
x1 = - 9, y1 = 6
x2 = 1, y2 = 27
By substituting these values into the slope formula, we have
m = (27 - 6)/(1 - - 9) = 21/(1 + 9) = 21/10
We would find the y intercept by substituting m = 21/10, x = - 9 and y = 6 into the slope intercept equation. We have
6 = 21/10 * - 9 + c = - 189/10 + c
c = 6 + 189/10 = 249/10
By substituting m = 21/10 and c = 249/10 into the slope intercept equation, the equation of the line is
y = 21x/10 + 249/10
In decimal form, the equation of the line is
y = 2.1x + 24.9
The <em><u>correct answer</u></em> is:
pairs 2, 3, and 4
Explanation:
Congruent polygons are polygons that have the same size and the same shape. We can see from the diagram that the figure in pair 2 has been rotated to form the second figure in the pair. Since the shape and size were not changed, they are congruent.
The figure in pair 3 has also been rotated; this again preserves size and shape, so the figures are congruent.
The figure in pair 4 sees to have been reflected. This did not change the size or shape of the figure, so the pair is congruent.
A translation of 2 units up will increase the y coordinate by 2 units and a translation by 5 units to the left will decrease the x coordinate by 5. Hence after these translations point (2,2) becomes
<span>(2 - 5 , 2 + 2) = (-3,4) </span>
When point (-3,4) is reflected in the x axis, its y coordinate changes sign and point (-3 ,4) becomes
<span>(-3,-4)</span>
Answer:
100
Step-by-step explanation:
i got it right on the test !!
