Answer : 2√3
<u>Given </u><u>:</u><u>-</u>
- A equilateral triangle with side length 4.
<u>To </u><u>Find</u><u> </u><u>:</u><u>-</u>
- The value of x in the given figure.
As we know that in a equilateral triangle , perpendicular bisector , angle bisector and median coincide with each other .
- So the perpendicular drawn in the figure will bisect the given side .
- Therefore the value of each half will be 4/2 = 2 .
Now we may use Pythagoras theorem as ,
→ AB² = BC² + AC²
→ 4² = 2² + x²
→ 16 = 4 + x²
→ x² = 16-4
→ x² = 12
→ x =√12 = √{ 3 * 2²}
→ x = 2√3
<u>Hence </u><u>the</u><u> required</u><u> answer</u><u> is</u><u> </u><u>2</u><u>√</u><u>3</u><u> </u><u>.</u>
I hope this helps.
Divide f(x) by x + 15
this comes to 2x^2 - 6 which represents the length
Answer:
eight
Step-by-step explanation:
Let's use the point-slope formula...
<em>y-y1=m(x-x1)
</em>
<em>m is the slope.
</em>
<em>y--9=7(x--2)
</em>
<em>Subtracting a negative number is the same as adding a positive number...
</em>
<em>y+9=7(x+2)
</em>
<em>y+9=7x+14
</em>
<em>Let's subtract 9 from both sides...
</em>
<em>-9+y+9=7x+14-9
</em>
<em>y=7x+5
</em>
<em>The formula is now in the format of...
</em>
<em>y=mx+b
</em>
<em>This is known as slope-intercept.
</em>
<em>m is the slope.
</em>
<em>b is the y-intercept, the value of y when x=0.
</em>
<em>Standard formula is...
</em>
<em>Ax+By=C
</em>
<em>Neither A nor B equal zero.
</em>
<em>A is greater than zero.
</em>
<em>y=7x+5
</em>
<em>Let's move 7x to the left side of the equation. It becomes negative.
</em>
<em>-7x+y=5
</em>
<em>Let's multiply both sides by -1 to render A greater than zero.
</em>
<em>-1(-7x+y)=(5)(-1)
</em>
<u>7x-y=-5
</u>
<u>This is the equation in standard form.</u>