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Feliz [49]
3 years ago
8

Kelly is solving x^2 - 4x = 7 by completing the square. What number will Kelly add to both sides of the equation?

Mathematics
1 answer:
aleksandrvk [35]3 years ago
5 0

To complete the square, you add \frac{b}{2}^2 to both sides

so \frac{4}{2}^2

2^2

4

x^2 - 4x + 4=7 + 4

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A sample of 260 students enrolled at a university were asked what they intended to do after graduation. The results are shown be
vovikov84 [41]
ANSWER

30\%


EXPLANATION

The total number of students can be calculated by adding all the frequencies.


From the graph the total frequency is,

39+117+78+26 =260

The number of students who intend to go into state or local government after graduation is 78.


The percentage of students who intend to go into state or local government after graduation

=  \frac{78}{260}  \times 100\%

=  \frac{3}{10}  \times 100\%

= 30\%

4 0
3 years ago
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Which statement about the dilation of these triangles is true?
Arisa [49]
The scale factor is 7
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2 years ago
In ΔJKL, l = 860 inches, j = 920 inches and ∠K=126°. Find ∠L, to the nearest degree.
fomenos

Answer:

26

Step-by-step explanation:

JKL= ABC,  jkl=abc

1.) use law of sines to find k.

c^{2} =a^{2} +b^{2} -2abCosC    

c=\sqrt{920^{2} +860^{2} -2(920)(860)cos(126) } = 1586.225515

2.) use law of cosines to find L

\frac{a}{sinA} =\frac{b}{sinB} =\frac{c}{sinC}  

plug in for b and c:  \frac{860}{sinB} =\frac{1586.225515}{sin126}

cross multiply: \frac{1586.23sinB}{1586.23} =\frac{860sin126}{1586.23}

sinB= 0.4386227612\\B=sin^-1(0.4386227612)= 26.01604086\\

L=26

5 0
3 years ago
Estimates show that there are 1.4*10^8 pet fish and 9.4*10^6 pet reptiles in the United States.
Readme [11.4K]
\bf \stackrel{fish}{1.4\times 10^8}~~+~~\stackrel{reptiles}{9.4\times 10^6}
\\\\\\
\stackrel{fish}{140000000}~~+~~\stackrel{reptiles}{9400000}\implies 
\begin{array}{rrrrllll}
140000000\\
+9400000\\
\text{\textemdash\textemdash\textemdash\textemdash\textemdash}\\
149400000
\end{array}\implies 1.494\times 10^8
5 0
3 years ago
A
Tanzania [10]

Answer:

$45.50

Step-by-step explanation:

1. $65.00 ÷ 100 = 0.65

2. 0.65 x 30 = $19.50

3. $65.00 - $19.50 = $45.50

4 0
2 years ago
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