<span>1/2x+3y/4=5 => (1/2)x + (3/4)y = 5
1/5x+3y/2=2 => (1/5)x + (3/2)y = 2
Eliminate the fractional coefficients: Mult. the first equation by 4 and mult. the second equation by 10:
2x + 15y = 20
</span><span>Multiply the 1st equation by -1:
-</span>2x - 3y = -20
2x + 15y = 20
-------------------
12y = 0, so y = 0. Then the first equation becomes 2x + 3(0) = 20, or
x=10.
Solution is (10,0).
Answer:
D
Step-by-step explanation:
Answer:
2√2
Step-by-step explanation:
<u>By </u><u>using </u><u>trigonometry,</u>
sin 45° = x/4
x = 4sin 45°
x = 2√2
<u>By </u><u>using </u><u>Pythagorean</u><u> </u><u>theorem</u><u>,</u>
Since you know that it is an isosceles triangle and it's also a right-angled triangle,
4² = x² + x²
16 = 2x²
x² = 8
x = √8
= 2√2
The values coming in the interval (-3,1] are -2, -1, 0, and 1.
<h3>What is defined as the term interval notations?</h3>
- An interval is represented on a number line using interval notation. In all other sayings, it is a method of writing real number line subsets.
- An interval is made up of numbers that fall between two specific data set.
- Intervals can be categorized according to the numbers in the set.
- Interval Open: The endpoints of a inequality are not included in this type of interval.
- Interval Closure; The endpoints of a inequality are included in this type of interval.
- Interval with Half-Open Doors: This interval contains only one of inequality's endpoints.
The given interval notation is;
(-3,1], it is the case of half open half close.
-3 comes with the open interval, it means its value will not be included in the interval.
1 is with the closed interval, it means its value will be included in the interval.
Thus, the values lying between the interval (-3, 1] are -2, -1, 0, and 1.
To know more about the interval notations, here
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b=145 degrees (corresponding angles)
a+145= 180 (straight angles)
a = 180-145
a =35