Step-by-step explanation:
The quadratic equation given to us is ,
→ 4v² + 6v - 88 = 0 .
So , wrt to standard form of a quadratic equation ax² + bx + c = 0 , the Zeroes are given by using the Quadratic formula as ,
⇒ x = -b ± √ ( b² - 4ac) / 2a
⇒ x = -6 ± √ [6² - 4 × 4 × (-88) ] / 2×4
⇒ x = -6 ± √ [ 36 + 1408 ] / 8
⇒ x = -6 ± √ 1444 / 8
⇒ x = -6 ± 38 / 8
⇒ x = -6 +38/ 8 , -6 -38 / 8
⇒ x = 32/8 , -44/8
⇒ x = 4 , -11/2
Here I took v as x . So we can replace it .
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Answer:
a² + b² = c · (e + d) = c × c = c²
a² + b² = c²
Please see attachment
Step-by-step explanation:
Statement, Reason
ΔADC ~ ΔACB, Given
AC/AD = BA/AC, The ratio of corresponding sides of similar triangles
b/e = c/b
b² = c·e
ΔBDC ~ ΔBCA, Given
BC/BA = BD/BC, The ratio of corresponding sides of similar triangles
a/c = d/a
a² = c·d
a² + b² = c·e + c·d
a² + b² = c · (e + d)
e + d = c, Addition of segment
a² + b² = c × c = c²
Therefore, a² + b² = c²
Answer with explanation:
→The Exact meaning of Probability is Chance.It Means ,that Something will happen or not in terms of rational numbers.
→As, Probability of an event lies between ,0 to 1, means ,the result is not Precise ,whether it will happen surely that is exactly 100% or it will not, that is 0%.Percentage of happening of anything lies between 0% to 100%.
→0 ≤ Probability ≤ 1,shows that ,if we represent it on the number line, it is Scattered from ,0 to 1.
These three reasons are enough to verify that, Probability can't be used to Predict exactly ,the result of an Activity.It is just representation in terms of rational number.
Answer:
no trangles can be formed
Step-by-step explanation:
We have been given angle A as 75 degrees and sides a = 2 and b = 3.
Using Sine rule, we can set up:
sin(a) sin(b)
------------ = ------------
A B
Upon substituting the given values of angle A, and sides a and b, we get:
sin(75) sin(B)
------------ = ------------
2 3
Upon solving this equation for B, we get:
----->3sin(75)=2sin(B)
----->sin(B)=3sin(75)
-------------
2
------>sinB=1.4488
Since we know that value of Sine cannot be more than 1. Hence there are no values possible for B.
Hence, the triangle is not possible. Therefore, first choice is correct.
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Answer:

Step-by-step explanation:
In Triangles YXZ and PMN

Since the third side of triangle subtended by two congruent sides will always be congruent, the two triangles are congruent by SSS congruence theorem.
Therefore:
If the measure of angle P = 85°
Since P and Y are in the same positions(as seen in the diagram) in the two triangles respectively, the measure of angle Y is also 85 degrees.