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Kobotan [32]
3 years ago
6

Solve the system of equations. 9x + 4y = 6 9x + 5y = -33 X = y =

Mathematics
1 answer:
Alekssandra [29.7K]3 years ago
7 0

Answer x= 18 y=-39

Step-by-step explanation:

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dalvyx [7]

Answer:

the cost of the four meal is $4.00

8 0
2 years ago
Determine whether the sequence below is a geometric sequence and, if so, find a formula that describes the sequence. 1, 3, 9, 27
r-ruslan [8.4K]

a geometric sequence is a bunch of numbers where you can get from a number to the next number by multiplying the previous number by a certain number

might be confusing so here's an example

1,2,4,8,16

each term is multiplied by 2 to get next term, that number that each term is multiplied by is called the common ratio

formula for geometric sequence is

a_n=a_1(r)^{n-1}

where a_n is nth term

a_1 is first term

r is teh common ratio

n=which term


in our example

1,3, 9, 27, 81

each term is being multiplied by 3 so it is a geometric sequence and thus r=3

also first term is 1 so a_1=1

so the formula is a_n=1(3)^{n-1} or in function notation f(n)=1(3)^{n-1}

7 0
4 years ago
Read 2 more answers
15 points!!! GEOMETRY help please!!<br> Questions attached!
dolphi86 [110]
3. Look at the picture.

We have the right angle triangle. We know the sum of measures of angles in triangle is equal 180°. Therefore:

x^o+90^o+43^o=180^o\\\\x^o+133^o=180^o\ \ \ |-133^o\\\\x^o=47^o

Answer:\ \boxed{47^o}

4.
Look at the picture.

Use Pythagorean theorem:

x^2+14^2=(10+x)^2\\\\x^2+196=10^2+2\cdot10\cdot x+x^2\ \ \ \ |-x^2\\\\196=100+20x\ \ \ |-100\\\\20x=96\ \ \ |:20\\\\x=4.8

Used:\ (a+b)^2=a^2+2ab+b^2

Answer:\ \boxed{4.8\ units}

5.
TRUE: 1; 2; 4

6.
We find a slope of the line OP:

m=\dfrac{y_2-y_1}{x_2-x_1}\\\\O(2;\ 6)\to x_1=2;\ y_1=6\\\\P(4;\ 3)\to x_2=4;\ y_2=3\\\\m=\dfrac{3-6}{4-2}=\dfrac{-3}{2}

We have: OP:\ y=-\dfrac{3}{2}x+b

Now, we must find the slope of the line perpendicular to the line OP.
We know:

k:y=m_1x+b;\ l:y=m_2x+c\\\\k\ \perp\ l\iff m_1m_2=-1

therefore

-\dfrac{3}{2}m_2=-1\ \ \ |\cdot\left(-\dfrac{2}{3}\right)\\\\m_2=\dfrac{2}{3}

So. We have the answer! :)

Answer:\ \boxed{y=\dfrac{2}{3}x+\dfrac{1}{3}}

6 0
3 years ago
Diana ,and Jennifer and Christina are making class for the craft fair Diana has made three tenths of her Jennifer has made Two f
Sladkaya [172]
A- Christina
B-Diana
4 0
3 years ago
Solve equation<br><br> -2 • 4/5 = -3 1/2 • n
kogti [31]
16/155 = n


explanation

A linear equation is an equation of a straight line. To solve linear equations, it is important to keep the following key concepts in mind:

Maintain balance of the equation by applying the same operations to both sides of an equation

Isolate for the variable by collecting like terms

Use inverse operations to rearrange an equation


to show your work

-8/ 5 = -31/2 • n
- 8/5 = -31n/2
2(-8/5) = 2 • -31/n
-16/5 = -31n
-16/5 / -31 = -31n/31
16/155 = n
8 0
3 years ago
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