We have an equation: 56/? = 4/100
Cross multiply:
4*? = 56*100
⇒ ? = 56*100/4
⇒ ?= 1,400
4% of 1,400 days is 56 days~
Answer:
30 students
Step-by-step explanation:
24 over 80 is equal to x over 100
cross multiply and you get
80x =240
divide 80 on both sides
you get 3
add an extra sero
Answer:
y = -(x + 5)² + 4
Step-by-step explanation:
The roots are -3 and -7, so:
y = a (x + 3) (x + 7)
Distribute and complete the square:
y = a (x² + 10x + 21)
y = a (x² + 10x + 25 − 4)
y = a (x² + 10x + 25) − 4a
y = a (x + 5)² − 4a
The vertex is (-5, 4), so a = -1.
y = -(x + 5)² + 4
Hey!
To simplify the equation provided we must first start off by grouping like terms.
<em>Original Equation :</em>
10 + 3c + 5d - 7c + d
<em>New Equation {Grouped Like Terms} :</em>
3c - 7c + 5d + d + 10
Now we add similar elements.
<em>Old Equation :</em>
3c - 7c + 5d + d + 10
<em>New Equation {Added Similar Elements} :</em>
-4c + 5d + d + 10
Next we add the other similtar elements.
<em>Old Equation :</em>
-4c + 5d + d + 10
<em>New Equation {Add Similar Elements} :</em>
-4c + 6d + 10
<em>So, this means that the equation 10 + 3c + 5d - 7c + d simplified is</em> -4c + 6d + 10.
Hope this helps!
- Lindsey Frazier ♥
Answer:
(p, q) = (8, 82)
Step-by-step explanation:
When a circle is centered at the origin, the radius to point (a, b) will have slope m = b/a. The tangent is perpendicular to the radius, so the tangent at point (a, b) will have slope -a/b. In point-slope form, the equation of the tangent line will be ...
y -k = m(x -h) . . . . . point-slope equation of line with slope m through (h, k)
y -b = (-a/b)(x -a)
Rearranging this to standard form, we have ...
b(y -b) = -a(x -a)
by -b² = -ax +a²
ax +by = a² +b²
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For (a, b) = (5, 4), the standard form equation of the tangent can be written ...
5x +4y = 5² +4² = 41
Your given equation has an x-coefficient that is twice the value shown in this equation, so we need to multiply this equation by 2:
2(5x +4y) = 2(41)
10x +8y = 82
Comparing to 10x +py = q, we see that ...
p = 8
q = 82
