Answer:
1. linear = y= mx+b so it would be y=3x+5
not prime would be y= x^2 since there is not limr number in the equation
The difference between the square roots of a number 30 is 15 I am pretty sure it is 15
Answer:
<u><em>The area increase by 225%</em></u>
<em><u>Step-by-step explanation: </u></em>
<em><u>attachment of a triangle</u></em>
<em><u>The area of a triangle equilateral is calculated with the next formula:</u></em>
<em><u>A=
</u></em>
<em><u>
=
</u></em>
<em><u>
=
*3</u></em>
<em><u>h=
</u></em>
<em><u>h=
</u></em>
<em><u>replacing in the A equation:</u></em>
<em><u>A=
</u></em>
<em><u>A=
</u></em>
<em><u>Now each side increse by 50% ⇒ a=1.5a</u></em>
<em><u>A=
</u></em>
<em><u>A=
</u></em>
<em><u>A=2.25 *
</u></em>
<em><u>It means that the area incrase by 225%</u></em>
Answer:
$2,400
Step-by-step explanation:
Note: The correct years is 4 not 44
The Principal = $10,000
Time period = 4 years
Rate = 6 % p.a.
Simple Interest = Principal * Rate * Time
Simple Interest = $10,000 * 6% * 44
Simple Interest = $2,400
So, the amount of interest Diego earned after four years is $2,400
Step-by-step explanation:
For a quadratic equation y = ax² + bx + c, the vertex (the maximum or minimum point) is at x = -b/(2a).
1) y = -0.5t² + 2t + 38
The maximum is at:
t = -2 / (2 × -0.5)
t = 2
The maximum height is:
y = -0.5(2)² + 2(2) + 38
y = 40
The coordinates of the vertex are (2, 40). That means the missile reaches a maximum height of 40 km after 2 minutes.
2) y = -4.9t² + 12t + 1.6
The maximum is at:
t = -12 / (2 × -4.9)
t = 1.22
The maximum height is:
y = -4.9(1.22)² + 12(1.22) + 1.6
y = 8.95
The coordinates of the vertex are (1.22, 8.95). That means the missile reaches a maximum height of 8.95 m after 1.22 seconds.
3) y = -0.04x² + 0.88x
The maximum is at:
x = -0.88 / (2 × -0.04)
x = 11
The maximum height is:
y = -0.04(11)² + 0.88(11)
y = 4.84
The maximum height of the tunnel is 4.84 meters.
The maximum width is when y = 0.
0 = -0.04x² + 0.88x
0 = -0.04x (x − 22)
x = 22
The maximum width is 22 feet.