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Nadya [2.5K]
3 years ago
8

1. Melissa went to lunch with two friends. She purchased 3 corn dogs, 2 fruit cups, and

Mathematics
1 answer:
Lena [83]3 years ago
7 0

Answer:

14 is the answer.

Step-by-step explanation:

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AABC has vertices at A(1, -9), B(8,0), and C(9,-8).
Rainbow [258]

Check the picture below.

~\hfill \stackrel{\textit{\large distance between 2 points}}{d = \sqrt{( x_2- x_1)^2 + ( y_2- y_1)^2}}~\hfill~ \\\\[-0.35em] ~\dotfill\\\\ A(\stackrel{x_1}{1}~,~\stackrel{y_1}{-9})\qquad B(\stackrel{x_2}{8}~,~\stackrel{y_2}{0}) ~\hfill AB=\sqrt{[ 8- 1]^2 + [ 0- (-9)]^2} \\\\\\ AB=\sqrt{7^2+(0+9)^2}\implies AB=\sqrt{7^2+9^2}\implies \boxed{AB=\sqrt{130}} \\\\[-0.35em] ~\dotfill

B(\stackrel{x_1}{8}~,~\stackrel{y_1}{0})\qquad C(\stackrel{x_2}{9}~,~\stackrel{y_2}{-8}) ~\hfill BC=\sqrt{[ 9- 8]^2 + [ -8- 0]^2} \\\\\\ BC=\sqrt{1^2+(-8)^2}\implies \boxed{BC=\sqrt{65}}

now, we could check for the CA distance, however, we already know that AB ≠ BC, so there's no need.

6 0
2 years ago
Sofia invests her money in an account paying 7% interest compounded semiannually. What is the effective annual yield on this acc
vfiekz [6]

Answer:

7.12

Step-by-step explanation:

The formula for the effective annual yield is given as:

i = ( 1 + r/m)^m - 1

Where

i = Effective Annual yield

r = interest rate = 7% = 0.07

m= compounding frequency = semi annually = 2

i = ( 1 + 0.07/2)² - 1

i = (1 + 0.035)² - 1

= 1.035² - 1

= 1.071225 - 1

= 0.071225

Converting to percentage

0.071225 × 100

= 7.1225%

Approximately to 2 decimal places = 7.12

Therefore, the annual effective yield = 7.12

4 0
3 years ago
What is 7.436 rounded to the nearest tenth
Dmitriy789 [7]
It's 7.4 because the 3 doesn't round the 4 up.
8 0
2 years ago
Another day for brainliests if u answer my questions right :D
Mumz [18]
Because they will give you the same answers lol
6 0
3 years ago
Read 2 more answers
Determine whether test point (-6,4) is a solution to the linear inequality x+y_<1
tamaranim1 [39]
\bf \begin{array}{llll}
-6&,&4\\
\uparrow &&\uparrow \\
x&&y
\end{array}\qquad x+y\le 1\implies -6+4\le 1\implies -2\le 1

now, is it true that -2 is lesser than 1? if it's true, is a solution, if is false, is not then
7 0
3 years ago
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