Answer:
x ≥ -3
x ≤ 3
Step-by-step explanation:
For the first inequality, just add 3 to both sides.
For the second inequality, add 4 to both sides then divide both sides by 3.
Answer:
<u>Secant</u>: a straight line that intersects a circle at two points.
<u>Intersecting Secants Theorem</u>
If two secant segments are drawn to the circle from one exterior point, the product of the measures of one secant segment and its external part is equal to the product of the measures of the other secant segment and its external part.
From inspection of the given diagram:
- M = Exterior point
- MK = secant segment and ML is its external part
- MS = secant segment and MN is its external part
Therefore:
⇒ ML · MK = MN · MS
Given:
- MK = (x + 15) + 6 = x + 21
- ML = 6
- MS = 7 + 11 = 18
- MN = 7
Substituting the given values into the formula and solving for x:
⇒ ML · MK = MN · MS
⇒ 6(x + 21) = 7 · 18
⇒ 6x + 126 = 126
⇒ 6x = 0
⇒ x = 0
Substituting the found value of x into the expression for KL:
⇒ KL = x + 15
⇒ KL = 0 + 15
⇒ KL = 15
Answer:
60 miles
Step-by-step explanation:
If it takes 15 hours to travel 900 miles then it gives you the fraction 15/900 where the numerator(top number) is 15 and denominator(bottom number) is 900.
Then to simplify it: since 15 is a common factor of itself(15) and 900, 15/15 = 1(1 hour) and 900/15 = 60(60 miles).
Answer:
B. y=3x+12
Step-by-step explanation:
Hi there!
We want to find out which equation is equivalent to -6x+2y=24
The equation is currently written in standard form, which is ax+by=c, where a, b, and c are integer coefficients, but a and b CANNOT equal zero
We can change the equation into slope-intercept form, which is y=mx+b, where m is the slope and b is the y intercept, as all of the answer options are in slope-intercept form.
To do that, we'll need to isolate y by itself on one side
So let's add 6x to both sides to remove it from the left side
-6x+2y=24
+6x +6x
__________________
2y=6x+24
Now divide both sides by 2 to get the value of y by itself (1y)
y=3x+12
The answer is B. y=3x+12
Hope this helps!
