Answer:
105 km
Step-by-step explanation:
Written as a proportion, the ratio of km to cm will be the same for both distances:
(x km)/(17.5 cm) = (15 km)/(2.5 cm)
x km = (15 km)(17.5/2.5) = 105 km
105 actual kilometers are represented by 17.5 cm on the map.
Let
A------> <span>(5√2,2√3)
B------> </span><span>(√2,2√3)
we know that
</span>the abscissa<span> and the ordinate are respectively the first and second coordinate of a point in a coordinate system</span>
the abscissa is the coordinate x<span>
step 1
find the midpoint
ABx------> midpoint AB in the coordinate x
</span>ABy------> midpoint AB in the coordinate y
<span>
ABx=[5</span>√2+√2]/2------> 6√2/2-----> 3√2
ABy=[2√3+2√3]/2------> 4√3/2-----> 2√3
the midpoint AB is (3√2,2√3)
the answer isthe abscissa of the midpoint of the line segment is 3√2
see the attached figure
The answer is y = 3/4 x + 2
<em>Explanation:</em>
Basically, the formula for a linear equation is y = mx + b
b = y-intercept
mx = slope
slope = rise/ run (pos.)
it can also be fall/ crawl (neg.)
In the graph the line meets at the y-int. at 2, the line rises 3 and goes right 4 each time.
You use a system of equations
x= coffee
y= donuts
x+y=100
3x+y=180
there’s 3 ways to solve system of equations substitution graphing and elimination. it would be easiest to use substitution here. So you multiply x+y=100 by -1 so it become -x-y=-100. then you combine it with the other equation and get 2x=80 so x=40 which means 40 cups of coffee were sold then you plug it back in to find y. 40+y=100. y=60.
y= 60 (donuts). x= 40 (coffee)
Complementary angles are angles whose sum is equal to 90°.
m∠1 = 5x + 4
m∠2 = 7x + 2
m∠1 + m∠2 = 90°.
5x + 4 + 7x + 2 = 90
12x + 6 = 90
12x = 90 - 6
12x = 84
12x / 12 = 84/12
x = 7 Choice B.
m∠1 = 5x + 4 = 5(7) + 4 = 35 + 4 = 39
m∠2 = 7x + 2 = 7(7) + 2 = 49 + 2 = 51
39 + 51 = 90
90 =90