Answer:
x = 1 +√5
Step-by-step explanation:
There are different formulas for the area of a triangle available, depending on the given information.
<h3>Formulas</h3>
When two sides and the angle between them are given, the relevant area formula is ...
Area = 1/2(ab)sin(C)
When the base and height of a triangle are given, the relevant area formula is ...
Area = 1/2bh
<h3>Equal Areas</h3>
The problem statement tells us the two triangles shown have equal areas. That means the two formulas will give the same result.
Area from angle = Area from base/height
1/2(x·x)sin(30°) = 1/2(x-2)(x+1)
x² = 2(x² -x -2) . . . . . . . . . . . use sin(30°) = 1/2, multiply by 4
x² -2x -4 = 0 . . . . . . . . subtract x², eliminate parentheses
(x -1)² = 5 . . . . . . . . . add 4+1 to complete the square
<h3>Value of x</h3>
x = 1 ± √5 . . . . . . take the square root, add 1
The value of x must be greater than 2 in order for the triangle side lengths to be positive. (x-2 > 0) This means x = 1-√5 is an extraneous solution.
The value of x is 1 +√5.
95% i guess I just saw the diagram.
Step-by-step explanation:
7x² + 9x² - x²
when you wrote the expression you used the "multiplication ×" and not "x".
anyway, when you have terms of the same variable of the same exponent, then the combination variable and exponent become an item. and the same items can simply be added in an expression.
this is similar to
7 apples + 9 apples - 1 apple
what would you do there ?
see ?
and the same we are doing now for the given expression : we are adding the terms up :
7x² + 9x² - x² = (7 + 9 - 1)x² = 15x²
and in the middle I gave you even the reason why we can do that.
please, let me know, if this is still unclear.
<h3><u>Solution</u><u> </u><u>:</u><u>-</u><u> </u></h3>
1) 4x + 5y
→ 4*6 + 5*1
→ 24 +5 = 29
2) 2x (20-y)
→ 2*6 (20-1)
→ 12 *19 = 228
3) x ÷ 3 + y
→ 6 ÷ 3 + 1
→ 2 +1 = 3
4) 4y ÷ 2 + (8x + 10)
→ 4*1 ÷ 2 +(8*6+10)
→ 2 + (48+10)
→ 2 + 58
→ 60
5 ) 5. Patty made $34 baby sitting on each of 3 weekends. If she spent $50 on gifts for her family, how much money does she have left?
Money made each weekend = $34
Money made in 3 weekend = $34*3 =$102
Money spent = $50
Therefore ,
→Money left = Money made in 3 weekends - Money spent
→ Money left = $102 - $50 = $52
6.Carlos solved 20-(2x6) + 8 divide 4 = 29. Is this the correct answer? ( In attachment it's written 29 and not 28 .)
Given equation is ,
→ 20 - (2 × 6) + 8 ÷ 4 = 29
Solve inside the brackets ,
→ 20 - 12 + 8 ÷ 4
Perform division ,
→ 20 -12 + 2
Perform addition ,
→ 22 - 12
Perform subtraction,
→ 10
<u>No , he is wrong the answer should have been 10 but he got 29 .</u>
<em>I </em><em>hope</em><em> this</em><em> helps</em><em> </em><em>.</em>
Answer:
(-2,-1)
Step-by-step explanation:
If you look at the graph, you can see that the lines will extend upwards indefinitely, but the lines will stop going downwards at y = -1
When y = -1, x = -2
Therefore, the values of x for the given values of y when y<0 is (-2,-1)
