Answer:
1. √32
2. 4
3. 5
4. √29
5. √10
6. 5√2
Step-by-step explanation:
Use Pythagoras
Muitply by two on both sides then subtract then divide to find x
Answer:
A. 236
B. 164
Step-by-step explanation:
18% of 200= 36
200+36=236
200-36=164
Answer:

Step-by-step explanation:
Hi there!
Linear equations are typically organized in slope-intercept form:
where <em>m</em> is the slope and <em>b</em> is the y-intercept.
Perpendicular lines always have slopes that are negative reciprocals (ex. 1/2 and -2, 3/4 and -4/3)
<u>Determine the slope (</u><em><u>m</u></em><u>):</u>

Rearrange into slope-intercept form:

Now, we can identify clearly that the slope is -2. Because perpendicular lines always have slopes that are negative reciprocals, a perpendicular line would have a slope of
. Plug this into
:

<u>Determine the y-intercept (</u><em><u>b</u></em><u>):</u>

Plug in the given point (1,3) and solve for <em>b</em>:

Therefore, the y-intercept is
. Plug this back into
:

I hope this helps!
EXPLANATION
The consecutive even numbers are

EXPLANATION
Let

be the first even number then, the next even number will be,

The difference of one-half the larger one and two-fifth the smaller one is 38 gives the equation,

We multiply through with an LCM of 10 to get,

This simplifies to,

We expand the brackets to get,

We group like terms to get,

This simplifies to

Therefore the next even number is is