<span>In which quadrant are all coordinates positive?
answer is I (first choice)</span>
Answer:
y=0.2x-20
Step-by-step explanation:
1) the common view of the line in the slope-intercept form is:
y=s*x+i, where s - the value of the slope (it is 0.2 according the condition), i - the value of intercept (to be calculated);
y=0.2*x+i.
2) if to substitute the given coordinates (1.25;-17.5) into the common view, then:
-17.5=1.25*0.2+i;
it is possible to calculate the value of 'i': i= -20.
3) if the slope=0.2, the intercept= -20, then the required equation of the line is:
y=0.2x-20.
Answer:
10.4 cm
Step-by-step explanation:
The volume (V) of a pyramid is calculated using
V = 
area of base × height (h)
area of square base = 6² = 36, thus
× 36h = 120
12h = 120 ( divide both sides by 12 )
h = 10 cm
To find the slant height (s) consider the right triangle from the vertex to the midpoint of the base and from the midpoint of base to the side.
That is a right triangle with hypotenuse s and legs 10(h) and 3 (midpoint of the base )
Using Pythagoras' identity then
s² = 10² + 3² = 100 + 9 = 109
Take the square root of both sides
s = 
≈ 10.4 cm
The walls are vertical so the angle opposite X would be a right angle which is 90 degrees.
X would be 180 - 90 - 35 = 55 degrees
X and 2y - 5 are complementary angles which add together to equal 90:
2y - 5 + 55 = 90
Simplify:
2y +50 = 90
Subtract 50 from both sides:
2y = 40
Divide both sides by 2:
y = 20
Im Gonna Do 14 And 15.
14:
3/4 (9/12) + 1/3 (4/12) = 13/12
4/5 (16/20) - 1/4 (5/20) = 11/20
15:
-15 < -6
-31 < -19
-5 < 20
-21 < -15
0 < 22
-57 < -26
-71 < -10
3 < 21
-124 < 30
-43 < 18
Hope This Helps!
