Answer:
A = 50.26 sq meters
Step-by-step explanation:
we have to find the diameter first by using the circumference:
C = πd
25.12 = πd
25.12/π = d
8 = d
this means the radius is 4
A = πr²
A = π4² or 16π
A = 50.26 sq meters
Answer:
19,167
Step-by-step explanation:
Laura purchased a new vehicle for 27,382
She made a down payment of 30%
27,382×30/100
= 27,382×0.3
= 8,214.6
27382-8214.6
= 19,167
Hence Laura financed 19,167
Answer:
the older sister is 27 and the younger is 25.
Step-by-step explanation:
C+2=Y
C+Y=52
2C+2=52
2C=50
C=25
25+2=Y
Y=27
Answer:
x-intercepts are (0, 0) and (-6, 0)
Step-by-step explanation:
equation of a parabola in vertex form: y = a(x - h)² + k
where (h, k) is the vertex
Substituting the given vertex (-3, -18) into the equation:
y = a(x + 3)² - 18
If the y-intercept is (0, 0) then substitute x=0 and y=0 into the equation and solve for a:
0 = a(0 + 3)² - 18
⇒ 0 = a(3)² - 18
⇒ 0 = 9a - 18
⇒ 9a = 18
⇒ a = 2
Therefore, y = 2(x + 3)² - 18
To find the x-intercepts, set the equation to 0 and solve for x:
2(x + 3)² - 18 = 0
Add 18 to both sides: 2(x + 3)² = 18
Divide both sides by 2: (x + 3)² = 9
Square root both sides: x + 3 = ±3
Subtract 3 from both sides: x = ±3 - 3
so x = 3 - 3 = 0
and x = -3 - 3 = -6
So x-intercepts are (0, 0) and (-6, 0)
Answer:
Step-by-step explanation:
4x - 2y = -2 ------------------(I)
6x + 3y = 27 ------------------(II)
Multiply (I) by 3 & multiply (II) by 2
(I)*3 12x - 6y = -6
(II)*2 <u>12x + 6y = 54</u> { Now add & y will be eliminated}
24x = 48
x = 48/24
x = 2
Plugin the value of x in equation (I)
4*2 - 2y = - 2
8 - 2y = -2 {subtract 8 from both side}
-2y = -2 - 8
-2y = -10 {Divide both sides by -2}
y = -10/-2
y = 5
