This is the diference of 2 perfect squares. 4 is a perfect square, x^2 is a perfect square, and 25 is a perfect square. The pattern for this is (ax + b)(ax - b). Our a is 2 since 2*2 = 4, and our b is 5 since 5*5 = 25. So your factors are (2a+5)(2a-5), choice C.
Answer:
three sides measuring 4 ft, 8 ft, and 10 ft
Step-by-step explanation:
To choose which dimensions that can create more than one triangle, we consider the given values carefully and how possible it will be to construct.
The only dimensions given in the option that will be possible to create more than one triangle from it, is three sides measuring 4 ft, 8 ft, and 10 ft.
4 ft, 8 ft, and 10 ft are in simple multiple of 2
4 ft, 8 ft, and 10 ft = 2 (2 ft, 4 ft, and 5 ft ), with this we can construct two triangles with three sides measuring 2 ft, 4 ft, and 5 ft.
What you do is plug the numbers for each variable ur equation will look like 2(6)(-3)+4
lets solve it step by step 2(6)(-3)+4
12(-3)+4 then -36+4 and ur answer will be -32
The equation of a line that is perpendicular to the given line is y = –4x – 16.
Solution:
The equation of a line given is y = 0.25x – 7
Slope of the given line(
) = 0.25
Let 
be the slope of the perpendicular line.
Passes through the point (–6, 8).
<em>If two lines are perpendicular then the product of the slopes equal to –1.</em>
Point-slope intercept formula:
and 
Substitute these in the formula, we get
Add 8 on both sides of the equation.
Hence the equation of a line that is perpendicular to the given line is
y = –4x – 16
Answer:
Step-by-step explanation:
The slope is the difference in y-coordinates of the 2 points divided by the corresponding difference in x-coordinates.
For example:
Find the slope of the line joining the points (3, 5) and (-2, 1)
The slope = (5 - 1) / (3 - (-2))
= 4/(3+2)
= 4/5.
NOTE:
You would get the same result if you reversed the values
- that is (1 - 5)/(-2 - 3
= -4/-5
= 4/5.
The important thing to remember is to use <em>corresponding </em>values in the calculation.
