Hi there!
All you need to do to solve for a is add 1.6 to both sides of the equation.
It will look like this:
a - 1.6 + 1.6 = -3.7 + 1.6
After this you will see that a = -2.1.
Hope this helps!
When in doubt just replace a with -2.1 and see if you still get -3.7. :)
Answer: The midpoint of segment PQ is the number 2.5
note: 2.5 as a fraction is 5/2; as a mixed number 2.5 converts to 2&1/2
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Explanation:
Apply the midpoint formula to get the midpoint of -8 and 6
We simply add up the values and divide by 2 and we get (-8+6)/2 = -2/2 = -1
So point Q is at -1 on the number line, which is exactly halfway from R to P
Focus on just points P and Q now. Apply the midpoint formula again
Q = -1
P = 6
(Q+P)/2 = (-1+6)/2 = 5/2 = 2.5
So the midpoint of segment PQ is 2.5
The decimal 2.5 can be written as the mixed number 2&1/2, showing that this new point is exactly halfway between 2 and 3.
Answer:
28. x = 5
29. x = 8
30. No solution.
Step-by-step explanation:
28. Given that 200 < 3x³ < 400
⇒ 66.67 < x³ < 133.33
⇒ 4.07 < x < 5.1
As x is an integer, so, x = 5 (Answer)
29. Given that 350 < 7x² < 450
⇒ 50 < x² < 64.28
⇒ 7.07 < x < 8.01 {As x is a positive integer}
So, x = 8 (Answer)
30. Given that x + 2 < 5717 < x + 3
⇒ x < 5715 and x > 5714
As x is integer, so there is no solution for this problem. (Answer)
In a 30°-60°-90° triangle, the length of the longer leg is √3 times the length of the shorter leg and length of the hypotenuse is twice the length of the shorter leg.
<h3>How to explain the reason</h3>
ACF is a 30º-60º-90º triangle because of the following reasons;
Based on a theorem, in a 30°-60°-90° triangle, it is said that the length of the longer leg is √3 times the length of the shorter leg and length of the hypotenuse is twice the length of the shorter leg,
1 → short leg = 1
2 → hypotenuse = 2
√3 → long leg = √3
Using the Pythagorean theorem., we have that
a² + b² = c²
1² + b² = 2²
b² = 2² - 1²
b² = 4 - 1
b² = 3
√b² = √3
b = √3
Thus, in a 30°-60°-90° triangle, the length of the longer leg is √3 times the length of the shorter leg and length of the hypotenuse is twice the length of the shorter leg.
Learn more about Pythagorean theorem here:
https://brainly.in/question/48490459
#SPJ1
Answer:
The slope is 4...
Step-by-step explanation:
y = mx + c
y = 4x
compare both..
