Answer:
x= 10 In (17)
Step-by-step explanation:
Answer:
7:11
Step-by-step explanation:
You place the numbers in the order given.
70:110
Then reduce it to the lowest term. In this case by 10.
70 ÷10=7
110÷10=11Therefore, the answe is
7:11
Answer:
A and A
the equation of a parabola in vertex form is
y = a(x - h)² + k
where ( h, k ) are the coordinates of the vertex and a is a multiplier
y = - 2(x + 3)² + 2 is in this form
with vertex = ( - 3, 2)
To find the y-intercept let x = 0
y = - 2(3)² + 2 = - 18 + 2 = - 16
Similarly
y = - 2(x + 2)² + 2 is in vertex form
vertex = ( - 2 , 2)
x = 0 : y = - 2(2)² + 2 = - 8 + 2 = - 6 ← y- intercept
hope this helped
Answer:
(0,27)
Step-by-step explanation:
x2 + 27 = 0
Solutions based on quadratic formula:
x1
= −0 − √ 02 − 4×1×27
2×1
= 0 − 6 × √ 3 i
2
≈ −5.196152i
x2
= −0 + √ 02 − 4×1×27
2×1
= 0 + 6 × √ 3 i 2
≈ 5.196152i
Extrema:
Min = (0, 27)
The value of x that makes sense in this context is; 32.
The dimensions of the new garden is; 64 by 16.
<h3>How to find the real dimensions of the rectangle?</h3>
The expression that represents the problem statement is;
x² = (2x)(x – 16)
Expanding the bracket gives us;
x² = 2x² – 32x
x² - 32x = 0
x(x - 32) = 0
Thus; x = 0 or x = 32
x can't be 0 and as such the value of x is 32.
Thus;
The length of the new garden is; l = 2x = 64.
The width of the new garden is; w = x - 16 = 32 - 16 = 16
The dimensions of the new garden are therefore; 64 by 16
Read more about Rectangle Dimensions at; brainly.com/question/17297081
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