Answer:
x = 8
y = -7
Step-by-step explanation:
This is a system of equations called simultaneous equations. We shall solve it by elimination method Step 1We shall label the equations (1) and (2)−3y−4x=−11.....(1)3y−5x=−61......(2)Step 2Multiply each term in equation (1) by 1 to give equation (3)1(-3y-4x=-11).....(1)-3y-4x=-11....(3)Step 3Multiply each term in equation 2 by -1 to give equation (4)-1(3y−5x=−61)......(2)-3y+5x=61.....(4)Step 4-3y-4x=-11....(3)-3y+5x=61.....(4)Subtract each term in equation (3) from each term in equation (4)-3y-(-3y)+5x-(-4x)=61-(-11)-3y+3y+5x+4x=61+110+9x=729x=72Step 5Divide both sides of the equation by 9, the coefficient of the unknown variable x to find the value of x 9x/9 = 72/9x = 8Step 6Put in x = 8 into equation (2)3y−5x=−61......(2)3y-5(8)=-613y-40=-61Collect like terms by adding 40 to both sides of the equation 3y-40+40=-61+403y=-21Divide both sides by 3, the coefficient of y to find the value of y 3y/3=-21/3y=-7Therefore, the values of x and y that satisfy the equations are 8 and -7 respectively
You have a right triangle situation here, and what you are looking for is the length of the hypotenuse. The leg perpendicular to the ground is 100, and the base angle that is NOT the right angle, is 65. So your equation is set up like this: sin 65 = 100/x. Rearrange that a bit to get x alone: x = 100/ sin 65. Make sure your calculator is in degree mode and solve for x. x = 110.34 feet of string.
If they all painted at the same rate the equation is this
mothers 8
daughters 12 at 220 sq ft
mothers 6
daughters 8 at 152 sq ft
220 +152 =372 divided by 34 (because they all painted at the same rate)=10.94 sq ft they each painted
Answer:
f(-5) = 25
f(0) = -2
f(5) = 16
Step-by-step explanation:
Given the functions;
To get f(-5), we will use the function of x where x is less than 0 since -5 is less than zero
at where x < 0, f(x) = x^2
f(-5) = (-5)^2
f(-5) = 25
b) For f(0), where the point where x = 0, f(x)= -2
Hence the value of f(o) = -2
c) For f(5), the function where x > 5 is f(x) = 2x+6
f(x) = 2x+6
f(5) = 2(5)+6
f(5) = 16
Let b=height of building. By similar triangles we can say:
b/44.75=3.1/1.29
b=44.75*3.1/1.29
b≈107.54
b≈108 meters (to the nearest whole meter)
