Answer:
Negative time a negative equals a positive!
Step-by-step explanation:
When you multiply two negative numbers or two positive numbers then the product is always positive. The same also goes for dividing negative integers.
Answer:
Option A
y=-4/3x+7
Step-by-step explanation:
To solve this, we need to understand the various components of the equation of a straight line.
A straight line has the equation: y =mx + c
<em>m</em> is the slope and<em> c</em> is the intercept on the y-axis. If we can get these two components, we can figure out the equation for the new line.
Calculating the slope, <em>m</em>
To obtain the slope of the new line, we use the fact that it is perpendicular to the slope of the line y = 3/4x-2.
This means that
3/4 X <em>m</em> = -1
<em>m</em> = -4/3
To obtain the intercept, <em>c</em>
The intercept can be obtained by adding 3 to the y-component of (0, 4).
This will give (0, 7). Hence the intercept c will be 7.
Therefore, the equation of the line will be y = -4/3x+7. Option A
legs of the triangles
Each triangle 30-60-90 is:
one leg: 15 ft => short diagonal = 2 * 15ft = 30ft
other leg, x:
tan(30) = 15 / x => x = 15 ft / tan(30) = 25.98 ft
=> long diagonal = 2 * 25.98ft = 51.96 ft
side of the rhoumbus = hypotenuse of one triangle
side of the rhombus = √ [ (15)^2 + (25.98)^2 ] = √(900) = 30 ft
Area of the rhombus:
4 * area of one triangle = 4 [base*height/2] = 4*15*25.98/2 = 779.43 ft^2
The shortest distance accross the garden is equal to the side of the rhombus = 30 ft
ANSWER: 1 is a subset of 3,5,7
