Answer:
20 males and 7 females
Step-by-step explanation:
Let's say the number of females is x and the number of males is y.
We know that the total number of students is 27, which can also be written as x + y. So, these two expressions are equal: x + y = 27.
There are 13 fewer females than males, so: x = y - 13.
Now, we can use substitution to solve this system of linear equations.
Since x = y - 13, we can plug in y - 13 for x in x + y = 27:
x + y = 27 ⇒ (y - 13) + y = 27 ⇒ 2y - 13 = 27 ⇒ 2y = 40 ⇒ y = 20
Then, we use this value of y to solve for x:
x = y - 13 = 20 - 13 = 7
Thus, there are 20 males and 7 females.
Hope this helps!
The answer to your question is:
x^2 + 6/5x + 8/25;
<span>√((18-13)^2+(20-8)^2)= 13
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</span></span>
I am guessing vectors :)
(-17, 9)
or in polar form
√370, -27°53'50"
Answer:
axis of symmtery: x = 3 or h = 3
Step-by-step explanation:
The vertex (h, k) of a parabola is the point wherein the graph intersects the axis of symmetry—the imaginary straight line that bisects a parabola into two symmetrical parts, where <em>x</em> =<em> h</em>.
- In the standard form of quadratic equation, y = ax² + bx + c, the equation of the axis of symmetry is:
.
- In the vertex form of the quadratic equation, y = a(x - h)² + k, the equation of the axis of symmetry is:
.
Regardless of whether the quadratic equation is in standard or vertex form, the x-coordinate (h) of the vertex determines the axis of symmtetry, hence<em>, </em><em>x = h. </em><em> </em>
Therefore, given that the vertex of a parabola is at point (3, 5), then it means that the axis of symmetry occurs at x = 3 or h = 3.