How do i find the intercepts of the equation -5x-4y=10
1 answer:
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if we look at the equation y = -2x - 1, is already in slope-intercept form, therefore, has a slope of -2.
now, parallel lines have exactly equal slopes, therefore a parallel to that one above, will have also a slope of -2, so we're really looking for a line whose slope is -2 and runs through -1, 7.
Step-by-step explanation:
See the attached image. I numbered angles differently so as not to make an <u>assumption</u> that angles numbered the same are congruent.
(alternate interior angles are congruent)
(alternate interior angles are congruent)
(opposite sides of a parallelogram are congruent)
(ASA - side/angle/side)
(corresponding parts of congruent triangles are congruent)
The diagonals bisect each other!
Answer:
14.
Center = (-7,4)
Radius = 7
15. 189 square yards
16. 84 square inches
Step-by-step explanation:
14.
The standard form of a circle is given as:
Where
(h,k) is the center
and
r is the radius of the circle
Given, the circle equation in this problem as:
We re arrange this:
Now, we clearly see that the center is (-7,4) and the radius is 7
Hence,
Center = (-7,4)
Radius = 7
15.
For simplicity, let the point at DE, where it makes the right angle, be the point "H".
DEF is the triangle.
So, we see now that:
DE = 21 yd
FH = 18 yd
DE is the base of the triangle and FH is the height of the triangle.
The area of a triangle is:
Area = 0.5 * base * height
So, we now find the area to be:
Area = 0.5 * 21 * 18 = 189 square yards
16.
Rhombus is a quadrilateral (figure with 4 sides) whose 4 sides have equal length.
The diagonal is the length from one corner to the opposite corner. So, a rhombus has 2 diagonals.
The area of the rhombus, in terms of diagonals, would be:
Area = (Diagonal1 * Diagonal2)/2
So, we multiply the 2 diagonal's length and divide the answer by 2.
We have:
Diagonal 1 = 12
Diagonal 2 = 14
Hence, area would be:
Area = (12*14)/2 = 84 square inches