Answer:
3 dogs and 2 cats.
Step-by-step explanation:
In this case we can solve it using a 2x2 system of equations, like this:
let x: number of cats
let y: number of dogs
So:
42.5 * x + 64 * y = 277
35.5 * x + 50.5 * y = 222.5 => x = (222.5 - 50.5 * y) /35.5
Replacing, we are left with that:
42.5 * (222.5 - 50.5 * y) /35.5 + 64 * y = 277
266.37- 60.45 * y + 64 * y = 277
64 * y - 60.45 * y = 277 - 266.37
3.55 * y = 10.63
y = 10.63 / 3.55
y = 2.99, about 3
Now to calculate x:
x = (222.5 - 50.5 * 3) /35.5
x = 2
Which means that it has a total of 3 dogs and 2 cats.
Hi there
9a + 3(8-2a)
9a + 24 - 6a
(9a -6a) +24
3x + 24
I hope that's help !
Answer:
y + 4 = -3 (x - 5)
In other words,
y = -3 x + 11
Step-by-step explanation:
The slope of the tangent line to y = g(x) at x = 5 is the same as the value of g'(x). g'(5) = 3. Therefore, 3 will be the slope of the tangent line.
The tangent line goes through the point of tangency (5, g(5)). g(5) = -4. Therefore, the tangent line passes through the point (5, -4).
Apply the slope-point form of the line. The equation for a line with slope <em>m</em> that goes through point (a, b) will be y - b = m(x - a). For the tangent line in this question,
What will be the equation of this line?
Answer:
m(WXY) = 224°
Step-by-step explanation:
Measure of inscribed angle = ½ the measure of intercepted arc
Therefore:
m<C = ½*m(WXY)
112° = ½*m(WXY) (substitution)
Multiply both sides by 2
2*112° = m(WXY)
224° = m(WXY)
m(WXY) = 224°
Answer:1.7 its positive
Step-by-step explanation: 0,15 . 16,-12
y1-y2/x1-x2
15-(-12)= 27
0-16= 16
27/16 = 1.7
