Answer:
<em>Option C; 3x - y = -27 and x + 2y = 16</em>
Step-by-step explanation:
1. Let us consider the equation 21x - y = 9. In this case it would be best to keep the equation in this form, in order to find the x and y intercept. Let us first find to y - intercept, for the simplicity ⇒ 21 * ( 0 ) - y = 9 ⇒ y = - 9 when x = 0. Now if we take a look at the first plot of line q, we can see that the x value is -9 rather than the y value, so this equation doesn't match that of line q. This would eliminate the first two options being a possibility.
2. Now let us consider the equation 3x - y = -27. Let us consider the x-intercept in this case. That being said, ⇒ 3x - ( 0 ) = -27 ⇒ 3x = -27 ⇒ x = -9 when y = 0. As we can see, this coordinate matches with one of the coordinates of line q, which might mean that the second equation could match with the equation for line v.
3. To see whether Option 3 is applicable, we must take a look at the 2nd equation x + 2y = 16. Let us calculate the y - intercept here: ( 0 ) + 2y = 16 ⇒ 2y = 16 ⇒ y = 8 when x = 0. Here we can see that this coordinate matches with that of the second coordinate provided as one of the points in line v. That means that ~ <em>Answer: Option C</em>
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Answer
6/-11
Step-by-step explanation:
use the slope formula m=
then sub in numbers m=
now subtract numerator and the denominator
and
this now looks like
Answer:
4
Step-by-step explanation:
Calculation of the discriminant of the polynomial : x⋅2−4⋅x+5
1. Applying the formula to calculate the discriminant Δ=b2−4⋅a⋅c with : a=0, b=−2,c=5
2. Δ=(−2)2−4⋅(0)⋅(5)=4=4
3. The discriminant of the polynomial x⋅2−4⋅x+5 is equal to 4
Answer:
The standard form of a quadratic is y = ax^2 + bx + c.
- In this equation, the formula for the axis of symmetry is x =
. - You know that the center will always be along that line, and you've got the x-coordinate already, so just plug that in and get the y-coordinate out for the center.
The vertex form of a quadratic is also helpful, y = a(x-h)^2 + k.
- In this equation, the formula for the center is (h, k), and the axis of symmetry is x = h! That's even easier!
823 × 43 = 35389
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