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lesya692 [45]
1 year ago
9

find the roots of the quadratic equation x^2-6x+k=0.giventhat one root is three times the other and that k is a constant.Also fi

nd the value of k​
Mathematics
1 answer:
arlik [135]1 year ago
7 0

x_{1}  = 3x_{2}  \\ x_{1}  - 3x_{2}  = 0 ←relation \: 1\\ x_{1}  + x_{2}  = 6 ←relation \: 2

(x_{1},x_{2}) : (4.5,1.5)

k = x_{1}x_{2} = 4.5 \times 1.5 = 6.75

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Find the distance between the two points. Round your solution to 2 decimal points.
VashaNatasha [74]
Notice the grid, the points are (-5, -2) and (4, -1), thus

\bf ~~~~~~~~~~~~\textit{distance between 2 points}\\ \quad \\
\begin{array}{ccccccccc}
&&x_1&&y_1&&x_2&&y_2\\
%  (a,b)
&&(~{{ 4}} &,&{{ -1}}~) 
%  (c,d)
&&(~{{ -5}} &,&{{ -2}}~)
\end{array}~~
%  distance value
d = \sqrt{({{ x_2}}-{{ x_1}})^2 + ({{ y_2}}-{{ y_1}})^2}
\\\\\\
d=\sqrt{[-5-4]^2+[-2-(-1)]^2}\implies d=\sqrt{(-5-4)^2+(-2+1)^2}
\\\\\\
d=\sqrt{(-9)^2+(-1)^2}\implies d=\sqrt{81+1}\implies d=\sqrt{82}
6 0
3 years ago
Pls find the blank space. <br><br>the first answer will get marked brainliest​
True [87]

Step 1

Anything divided by one gives itself.

\frac{1}{8}=-8\text{ and }\frac{-8}{1}=\frac{-12}{48}

8

1

=−8 and

1

−8

=

48

−12

Step 2

Convert -8−8 to fraction -\frac{64}{8}−

8

64

.

\frac{1}{8}=-\frac{64}{8}\text{ and }\frac{-8}{1}=\frac{-12}{48}

8

1

=−

8

64

and

1

−8

=

48

−12

Step 3

Compare \frac{1}{8}

8

1

and -\frac{64}{8}−

8

64

.

\text{false}\text{ and }\frac{-8}{1}=\frac{-12}{48}false and

1

−8

=

48

−12

Step 4

Anything divided by one gives itself.

\text{false}\text{ and }-8=\frac{-12}{48}false and −8=

48

−12

Step 5

Reduce the fraction \frac{-12}{48}

48

−12

to lowest terms by extracting and canceling out 1212.

\text{false}\text{ and }-8=-\frac{1}{4}false and −8=−

4

1

Step 6

Convert -8−8 to fraction -\frac{32}{4}−

4

32

.

\text{false}\text{ and }-\frac{32}{4}=-\frac{1}{4}false and −

4

32

=−

4

1

Step 7

Compare -\frac{32}{4}−

4

32

and -\frac{1}{4}−

4

1

.

\text{false}\text{ and }\text{false}false and false

Step 8

The conjunction of \text{false}false and \text{false}false is \text{false}false.

\text{false}false

Hint

Do the arithmetic.

Solution

\text{false}false

4 0
2 years ago
Read 2 more answers
What 3.01 as a mixed number
satela [25.4K]
It would be 3 and 1 one hundredth.
3 0
3 years ago
Read 2 more answers
Can someone explain this to me like do I divided them?
Vaselesa [24]

Answer:

$5.85

Step-by-step explanation:

Divide 29.45 by 5 and the answer equal one pair

7 0
2 years ago
Charissa is eating out with friends, and it is her turn to pay the gratuity. The bill for the food is $26.50. If she plans to ti
Alex73 [517]
26.50 × 20%
= 26.50 × 0.2
= 5.30
26.50 + 5.30
= 31.80
since charissa doesnt want to leave coins/pennies on the table, you would round it up.
31.80 would then epual 32.00 due to the tenths being above 5 (an 8)
7 0
2 years ago
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