<span>1. Write this problem in simplest form:
√8 +√50-√72
= 2</span>√2 + 5√2 - 6√2
= √2 (2 + 5 - 6)
= √2(1)
= √2
<span>2. Solve 4 √3 * 5√3
= 20 * 3
= 60</span>
Step-by-step explanation:
Hey there!
<u>Note</u><u>:</u><u> </u><u>Use</u><u> </u><u>double</u><u> point</u><u> formula</u><u> for</u><u> finding</u><u> </u><u>the</u><u> eqaution</u><u> which</u><u> </u><u>pass</u><u>es</u><u> through</u><u> </u><u>two</u><u> </u><u>points</u><u>.</u>
Given;
The points are; (1,-3) and (3,1).
<u>Use</u><u> </u><u>dou</u><u>ble</u><u> point</u><u> formula</u><u>.</u>
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<u>Put</u><u> </u><u>all</u><u> </u><u>values</u><u>.</u>
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</u>
<u>Simpl</u><u>ify</u><u> it</u><u>.</u>
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Therefore, the eqaution is y = 2x-5.
Alternative:
<u>Steps</u><u>:</u>
- Find slope using slope formula and use one point formula.
- Simplify in the form of y = mx+c form.
Formula:
- Slope = (y2-y1)/(x2-x1)
- One point formula= (y-y1)= m(x-x1)
The points are; (1,-3) and (3,1).
Now;
Slope= (1- (-3))/(3-1)
= (1+3)/2
= 2
Again;
Using one-point formula.
(y+3) = 2(x-1)
y+3= 2x-2
y = 2x -5
Therefore, the equation is y = 2x-5.
(You can follow up any method you want)
<em><u>Hop</u></em><em><u>e</u></em><em><u> it</u></em><em><u> </u></em><em><u>helps</u></em><em><u>.</u></em><em><u>.</u></em><em><u>.</u></em><em><u>.</u></em>
Yes, they are all similar.
Rearrange the 4 digits to name the largest possible number
2 7 0 4 - 7420
3 8 2 5 - 8532
9 0 7 1 - 971
This link will help:
https://www.khanacademy.org/math/cc-fourth-grade-math/cc-4th-place-value-rounding/cc-4th-place-value...
We know that
the law of sinus established
a/sin A=b/sin B=c/sin C
so
A=30°
B=45°
b=10 units
a/sin A=b/sin B---------> a/sin 30=10/sin 45------> a=10*sin 30/sin 45
a=7.07 units
C=180-(A+B)-------> C=180-(75°)-----> C=105°
b/sin B=c/sin C--------> c=b*sin C/sin B----> c=10*sin 105/sin 45
c=13.66 units
Area=(1/2)*b*c*sin A-------> Area=(1/2)*10*13.66*sin 30°-----> 34.15 units ²
the area of triangle is 34 units²