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Vladimir [108]
3 years ago
15

Factor the given quadratic function x2 + 9x = 36.​

Mathematics
1 answer:
Gennadij [26K]3 years ago
4 0

Answer:

(x + 12)(x - 3)

Step-by-step explanation:

{x}^{2}  + 9x = 36 \\  {x}^{2}  + 9x - 36 = 0 \\  {x}^{2}  + 12x - 3x - 36 = 0 \\ x(x + 12) - 3(x + 12) = 0 \\ (x + 12)(x - 3) = 0

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2 years ago
Write the equation of an ellipse with a major axis of length 8 and co-vertices (0,3) and (0,-3)
alexandr1967 [171]
If the co-vertices are (0, 3) and (0, -3) where x is 0 and y has a value, then y is the minor axis.  That means that the x axis is the major axis.  Because of what the co-vertices are, the center of the ellipse is at the origin.  The formula for an ellipse that has a horizontal major axis is \frac{(x-h)^2}{a^2}+ \frac{(y-k)^2}{b^2}=1.  The a value will always be larger than the b value, therefore, the a value goes under the coordinate that is the major axis.  Here, its the x-axis.  a is the distance that the outer edge of the ellipse is from the center.  It's 8 units away from the center along the x axis and 3 units along the y axis from the center.  So a = 8 and a^2 = 64; b = 3 and b^2 = 9.  Our formula then is \frac{x^2}{64}+ \frac{y^2}{9}=1
8 0
3 years ago
Find the area of the rhombus in m squared
Nataly [62]

Answer:

\boxed{\bold{100 \ m^2}}

Step By Step Explanation:

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Identify 'p'

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p = 10

Identify 'q'

10 + 10 = 20

q = 20

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➤ \boxed{\bold{Mordancy}}

4 0
2 years ago
Jerilyn made 40 treats for her birthday.She gave 4 away to her family before taking the rest to school.What percent did Jerilyn
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7 0
3 years ago
Two numbers that differ by 46
Reil [10]

the complete question is

Find two numbers whose difference is 46 and whose product is a minimum


Let

x------->larger number

y-------> smaller number

P-------> product of the two numbers


we know that

x-y=46\\ y=x-46-----> equation 1

P=x*y-----> equation 2


substitute equation 1 in equation 2

P=x*[x-46]\\ P=x^{2} -46x


using a graph tool

see the attached figure


Find the value of x for that the product P is a minimum

the vertex is the point (23,-529)

that means, for x=23

the product is a minimum P=-529


find the value of y

y=x-46\\ y=23-46\\ y=-23


therefore


the answer is

the numbers are 23 and -23

7 0
3 years ago
Read 2 more answers
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