Using the degree of freedom rule, we can solve three unknown variables if and only if the number of independent equations is equal to 3. Thus the number of equations should be equal to the number of variables. We can use substitution to find x.
<span>g(x) = 2k(x) (1)
</span><span>g(x)=2x^+3x+10 (2)
k(x)=2x+16 (3)
we substitute 2 to 1 and also 3 to 1. The resulting function hence becomes:
</span>2x^+3x+10 = 2 * (2x +16)
Simplifying the equation on the right.
2x^+3x+10 = 4x +32
we group then the like terms on one side. That is,
2x^+3x - 4x+10 -32 = 0
2x^2 - x - 22 = 0
The factors using the quadratic equation are
x1 ==1/4+1/4√<span>177
</span>x2 ==1/4-1/4√177
Answer:
So the surface area consists of 2 triangles and 3 different rectangles
Triangle area = 1/2 * 8cm * 6cm = 24cm²
Rectangle a area (bottom one) = 17cm * 8cm = 136cm²
Rectangle b area (the one to the left) = 17cm * 6cm = 102cm²
To calculate Rectangle c we need to know the hypotenuse of our triangles
Formula for the hypotenuse is c = ![\sqrt{a^2+b^2}](https://tex.z-dn.net/?f=%5Csqrt%7Ba%5E2%2Bb%5E2%7D)
so c =
= 10
Rectangle c area = 17cm * 10cm = 170cm²
So the surface area is 2 * 24cm² + 136cm² + 102cm² + 170cm² = 456cm²
The volume is 1/2 * h * a * b = 1/2 * 6cm * 8cm * 17cm = 408cm³
Allison didn't drive at constant rate.
Step-by-step explanation:
We need to identify if time and distance have proportional relationship
A relationship is proportional if y/x = k
If x = time and y = distance and y/x is equal to constant then they have proportional relationship.
if x= 1, y=65 then k is:
y/x = 65/1 = 65
if x=2, y =120 then k is:
y/x = 120/2 = 60
if x=3,y=195 then k is:
y/x = 195/3 = 65
if x=4,y=220 then k is:
y/x = 220/4 = 55
if x=5,y=300 then k is:
y/x = 300/5 = 60
Since, y/x ≠ k i.e the ratio of y and x doesn't equal to the constant rate, so time and distance doesn't have proportional relationship.
So, Allison didn't drive at constant rate.
Keywords: Proportional Relationship
Learn more about Proportional Relationship at:
#learnwithBrainly
Answer:
14
Step-by-step explanation:
1/2 + 1/2 = 1
so then 2 is 4 halves
4 is 8 halves
8 is 16 halves
the number of halves is double the original number