Jai shree ram. sjkaoaoauwyyw7272okebsbskpszbahzijzgzgz
Answer:
1) x=√−y+5z or x=−√−y+5z
2) g=2x-4/x
Step-by-step explanation:
explanation for first problem:
Let's solve for x.
y=−x^2+5z
Step 1: Flip the equation.
−x^2+5z=y
Step 2: Add -5z to both sides.
−x^2+5z+−5z=y+−5z
−x^2=y−5z
Step 3: Divide both sides by -1.
−x^2
−1
=
y−5z
−1
x2=−y+5z
Step 4: Take square root.
x=√−y+5z or x=−√−y+5z
explanation for problem 2:
Let's solve for g.
gx=2x−4
Step 1: Divide both sides by x.
gx/x = 2x-4/x
g=2x-4/x
Answer: 16/25
<h2>Solution with Steps</h2>
4/10 divided by 5/8 = ?
Dividing two fractions is the same as multiplying the first fraction by the reciprocal or inverse of the second fraction.
Take the reciprocal of the second fraction by flipping the numerator and denominator and changing the operation to multiplication. Then the equation becomes -
4/10 x 8/5 = ?
For fraction multiplication, multiply the numerators and then multiply the denominators to get -
Numerators: 4 x 8 = 32
Denominators: 10 x 5 = 50
Fraction: 32/50
This fraction can be reduced by dividing both the numerator and denominator by the Greatest Common Factor of 32 and 50. The GCF (Greatest Common Factor) would be 2.
Numerator: 32 / 2 = 16
Denominator: 50 / 2 = 25
Fraction: 16/25
<h2>Another Solution</h2>
4/10 divided by 5/8 = ?
Cross multiply -
Numerator x Denominator: 4 x 8 = 32
Denominator x Numerator: 10 x 5 = 50
Fraction: 32/50
Reduce by dividing both the numerator and denominator by the Greatest Common Factor, which is 2.
Numerator: 32 / 2 = 16
Denominator: 50 / 2 = 25
Fraction: 16/25
Answer:
Only option A is correct.
Step-by-step explanation:
From the given figure it is noticed that the vertices of hyperbola are (0,8) and (0,-8). It is a vertical hyperbola.
It means a=8.
From the rectangle we can say that the value of b is 6.
The focus of a vertical hyperbola are (0,c) and (0,-c). So, the focus of hyperbola are (0,10) and (0,-10).
Therefore option A is correct.
Asymptotes of a vertical hyperbola are
Directrix of a vertical hyperbola are
Only option A is correct.
Answer is provided in the image attached.
