Answer:
x = 2
Step-by-step explanation:
<u>Step 1: Convert words into an expression</u>
What is the value of x in the equation 13 x minus 2 (8 + 5 x) = 12 minus 11 x?
13x - 2(8 + 5x) = 12 - 11x
<u>Step 2: Distribute</u>
13x - 2(8 + 5x) = 12 - 11x
13x - 16 - 10x = 12 - 11x
<u>Step 3: Solve for x</u>
13x - 16 - 10x + 11x + 16 = 12 - 11x + 11x + 16
14x / 14 = 28 / 14
x = 2
Answer: x = 2
Answer:
x = 13.75
Step-by-step explanation:
a right-angled triangle.
so, we use Pythagoras
c² = a² + b²
where c is the Hypotenuse (the side opposite of the 90 degree angle).
so, in our case
17² = 10² + x²
289 = 100 + x²
189 = x²
x = 13.75
Dilation refers to a non rigid motion where a figure is transform and its image has the same form but a different size measure.
Dilation is define by the rule (x,y)-- (kx, ky) where k represents the scale factor.
On this exercise is given that a triangle with vertices (-2,1), (8,4), and (3,0) was dilated by a scale factor of four, and it is asked to find the vertices of the image of the triangle after the dilation occurred.
Pre-image Image
(-2,1) -- (-2*4,1*4) -- (-8,4)
(8,4) -- (8*4,4*4) -- (32,16)
(3,0) -- (3*4,0*4) -- (12,0)
The coordinates representing the vertices of the triangle's image are (-8,4), (32,16), and (12,0); meaning that the ordered pair which is not a coordinate for a point in the triangle's image is (2,1).
General form of any equation is of the form AX+BY+C=0
Here A,B,C are three real numbers
THe given equation is
2x +4y+2=3y+5
To make right side equal to 0 we subtract 3y and 5 both sides
2x+4y+2-3y-5=0
Simplifying like terms
2x+y-3=0
Option B is the right answer
Answer:
Every equation has a solution.
Hope that helps!?
Step-by-step explanation:
