If 6a = 5b then the ratio of 2a : 7b is 5 : 21
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Solution:</u></h3>
Given that 6a = 5b
We have to find the ratio of 2a : 7b
Let us first solve the given expression and find values of a and b
6a = 5b
So we have found that a = 5 and b = 6
<em><u>Finding ratio of 2a : 7b</u></em>
2a : 7b = 2(5) : 7(6)
2a : 7b = 10 : 42
On simplifying to lowest terms,
2a : 7b = 5 : 21
Thus the ratio of 2a : 7b is 5 : 21
Answer:
The two such fractions are: 113/100 and -22/25.
Step-by-step explanation:
Let us assume two such fractions are P and Q.
⇒ P x Q = -1
and P + Q = 1/4
Now, to solve for the values of P and Q:
P + Q = 1/4 ⇔ Q = 1/4 - P
Substitute this value of Q in P x Q = -1, we get:
P x Q = -1
Now, solving this with the help of QUADRATIC Formula:
We get: P = 1.13 or P = -0.8825
Now, if P = 1.13, Q = -1/1.13 = -0.88 = -88/100 = -22/25
If P = -0.88, then Q = 1/0.88 = 1.13 = 113/100
Hence, The two such fractions are: 113/100 and -22/25.
Answer: in algebra if something = 0 thin it is 1
Step-by-step explanation: please mark brainlyest
Answer:
<h2>A. y = -9x - 2</h2>
Step-by-step explanation:
The slope-intercept form of an equation of a line:
<em>y = mx + b</em>
<em>m</em> - slope
<em>b</em> - y-intercept (0, b)
We have the slope <em>m = -9</em> and the y-intercept (0, -2) → <em>b = -2</em>.
Substitute:
<em>y = -9x + (-2) = -9x - 2</em>
Answer:
y = - 9, y = 3
Step-by-step explanation:
Calculate distance d using the distance formula
d =
with (x₁, y₁ ) = (2, - 3) and (x₂, y₂ ) = (10, y)
d =
=
Given distance between points is 10, then
= 10 ( square both sides )
64 + (y + 3)² = 100 ( subtract 64 from both sides )
(y + 3)² = 36 ( take the square root of both sides )
y + 3 = ± = ± 6 ( subtract 3 from both sides )
y = - 3 ± 6 , thus
y = - 3 - 6 = - 9
y = - 3 + 6 = 3