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serious [3.7K]
4 years ago
6

Find the missing side length

Mathematics
1 answer:
o-na [289]4 years ago
7 0

is it Possibly 3 yards?

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Jacques needs to convert the function f(x) = x2 − 6x + 14 to vertex form, f(x) = (x − h)2 + k, in order to find the minimum.
Anarel [89]

k = 5

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

To obtain this form use the method of completing the square

Since the coefficient of the x² term is 1 then

add/ subtract (half the coefficient of the x-term )² to x² - 6x

f(x) = x² + 2(- 3)x + 9 - 9 + 14 = (x - 3)² + 5 → k = 5


   

5 0
3 years ago
Read 2 more answers
Jay ate 2/3 of a pizza. Dan ate 4 times the amount of jay ate . How much did dan eat
erica [24]

Answer:

Dan eat 2\frac{2}{3} pizzas

Step-by-step explanation:

Let

x-----> amount of pizza Jay ate

y-----> amount of pizza Dan ate

we know that

x=\frac{2}{3} ----> equation A

y=4x -----> equation B

substitute equation A in the equation B and solve for y

y=4(\frac{2}{3})=\frac{8}{3}

Convert to mixed number

\frac{8}{3}=\frac{6}{3}+\frac{2}{3}=2\frac{2}{3}

8 0
3 years ago
Two congruent 30-60-90 triangles are placed,as shown,so that they overlap partly and their hypotenuses coincide. If the hypotenu
Ede4ka [16]

Answer: The area common to both triangle is 31.77 sq. cm.

Step-by-step explanation:

Since we have given that

30-60-90 triangles are placed.

So, the ratio of sides would be

1:\sqrt{3}:2

Since Hypotenuse = 12 cm

So, it becomes,

2x=12\\\\x=\dfrac{12}{2}=6

So, Base would be

x=6\ cm

and Perpendicular would be

\sqrt{3}x=6\sqrt{3}

So, Area common to the both triangles would be

\dfrac{1}{2}\times base\times height\\\\=\dfrac{1}{2}\times 6\times 6\sqrt{3}\\\\=18\sqrt{3}\\\\=31.177

Hence, the area common to both triangle is 31.77 sq. cm.

4 0
3 years ago
What is the sign of the product?<br><br> (0.5)(–0.5)(3.2)(–7.9)(–2.4)
Harlamova29_29 [7]
There are three negative signs so the product will be a negative. 
hope this helps
5 0
3 years ago
Use the graph of the function y = 4' to answer the
dlinn [17]

Answer:

the domain of the function is negative infinity to positive infinity because an exponent can be any real number

Step-by-step explanation:

4 0
3 years ago
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