Answer:
2 : 1
Step-by-step explanation:
Initial dimension = 8:6
New information;
height of 12 units and a width of 16 units
Final dimension = 16:12
Comparing both dimensions,
Multiplying the initial by 2, we get the final dimension, this meas;
Final Dimension = Initial Dimension * 2
Final Dimension / Initial Dimension = 2 / 1 = 2 : 1
Answer:
12 units
Step-by-step explanation:
To find any side length of a right triangle given two side lengths, you would use the pythagorean theorem which is a² + b² = c². In this equation, a and b represents either the height of base of the triangle, and c represents the hypotenuse of the triangle (the diagonal line - in your question it is 13). By plugging in the base and hypotenuse, you get the equation of 5² + b² = 13². 5² is equal to 25 and 13² is equal to 169, so the equation is 25 + b² = 169. Subtract 25 for both sides of the equation and you find that b² = 144. Square both sides and the missing length is 12 because √144 = 12.
Answer:
y=-3/5x+4
Step-by-step explanation:
Pick any two points the line goes through.
I picked
(0,4) and (5,1)
There are a few ways to do this but ultimately, it’s the same concept. I will use slope-intercept form which for me was always easier.
y=mx+b where m is the slope and b is the y-intercept. The y-intercept is the point where the line crosses the y-axis which in this case is point (0,4) so the b=4.
To find the slope, use rise/run between the two points you chose. Point (5,1) is 3 units UNDER point (0,4) so now we have -3/run because -3 is the “rise”. After you count down 3 units always go right. After going right 5 units, you touch point (5,1). So the “run” is 5. Which means that the slope is -3/5.
m=-3/5 and b=4
So the equation is:
y=-3/5x+4
Hope this helps!!
Answer:
The intersection point of the given lines is (1,1).
Step-by-step explanation:
Here, the given equations are:
y = - 2 x + 3
y = x
Substitute y = x in the first equation,
y = -2 x + 3 becomes y = -2 (y) + 3
or, y + 2 y = 3
or, 3 y = 3 ⇒ y = 3/3 = 1
⇒ y = 1
Now, as x = y ⇒ x = 1
Hence, the intersection points of the given lines is (1,1).
Answer:
3^(-2y + 6) = (-2x+1)
Step-by-step explanation:
We have;
log_3_(-2x+1) = -2y + 6
What this means in exponential form is that;
3^(-2y + 6) = (-2x+1)
