Ask question

Ask question

All categories

3 years ago

6

How many solutions does this linear system have y = 2x - 5 -8x - 4y = -20

2 answers:

Ray Of Light [21]3 years ago

8 0

replace the 1st equation into the 2nd one for y

-8x-4(2x-5) = -20

-8x-8x+20 =-20

-16x+20 = -40

-16x=-40

x = 5/2 = 2.5

y = 2x-5 - 2(2.5) - 5 = 5-5 = 0

one solution (2.5,0)

vesna_86 [32]3 years ago

3 0

Answer:

b

Step-by-step explanation:

You might be interested in

Somebody help me with this please

netineya [11]

Answer: 9 units

Step-by-step explanation: R is at -7 and is at 2. Think of how far away -7 is from 2. -7+9=2.

4 0

2 years ago

Read 2 more answers

6. Write an equation of a line that is Parallel to the line: y = 3x -3

jeka94

Answer:

3x - y -6 = 0

Step-by-step explanation:

We need to find the Equation of the line parallel to the given equation of line . The given equation of the line is ,

$\rm\implies y = 3x - 3$

<u>Slope </u><u>Intercept</u><u> Form</u><u> </u><u>:</u><u>-</u><u> </u>

$\rm\implies y = mx + c$

where ,

m is slope
c is y intercept .

Therefore , the Slope of the line is 3 . Let the parallel line passes through ( 3,3) . We know that the parallel lines have same slope . Therefore the slope of the parallel line will also be 3 .

<u>Using</u><u> point</u><u> slope</u><u> form</u><u> </u><u>:</u><u>-</u><u> </u>

$\rm\implies y - y_1 = m ( x - x_1) \\\\\rm\implies y - 3 = 3( x - 3 ) \\\\\rm\implies y -3 = 3x -9 \\\\\rm\implies 3x -y -9+3=0\\\\\rm\implies \boxed{\rm\red{ 3x -y -6=0}}$

3 0

3 years ago

Determine the number of terms, n, given the geometric series 1 3 9 27 ... and sn=3280.

lina2011 [118]

The number of terms, 'n' is 8

<h3 /><h3>How to determine the number of terms</h3>

Let's determine the common ratio;

common ratio, r = 3/1 = 3

The formula for sum of geometric series with 'r' greater than 1 is given as; Sn = a( r^n - 1) / (r - 1)

n is unknown

Sn = 3280

Substitute the value

3280 = 1 ( 3^n - 1) / 3- 1

3280 = 3^n -1 /2

Cross multiply

3280 × 2 = 3^n - 1

6560 + 1 = 3^n

6561 = 3^n

This could be represented as;

3^8 = 3^n

like coefficient cancels out

n = 8

Thus, the number of terms, 'n' is 8

Learn more about geometric series here:

brainly.com/question/24643676

#SPJ1

5 0

1 year ago

What is the constant of proportionality in the equation x/y = 2/g?

LenKa [72]

Answer:

2

Step-by-step explanation:

The constant of proportionality in the equation x/y = 2/g is 2. 2 is the only number in the equation.

6 0

3 years ago

How can csc^2-cot^2 = 1?

Softa [21]

ANSWER

By simplifying the left hand side using the Pythagorean Identity.

EXPLANATION

The given identity is

$\csc^{2} (x) - \cot^{2} (x) = 1$

Take the left hand side and simplify to get the right hand side.

$\csc^{2} (x) - \cot^{2} (x) = \frac{1}{\sin^{2} (x)} - \frac{ \cos^{2} (x)}{\sin^{2} (x)}$

Collect LCM for the denominators.

$\csc^{2} (x) - \cot^{2} (x) = \frac{1 - \cos^{2} (x)}{\sin^{2} (x)}$

Recall the Pythagorean Identity.

$\cos^{2} (x) + \sin^{2} (x) = 1$

This implies that:

$1 - \cos^{2} (x) = \sin^{2} (x)$

We substitute this to get,

$\csc^{2} (x) - \cot^{2} (x) = \frac{\sin^{2} (x)}{\sin^{2} (x)}$

$\csc^{2} (x) - \cot^{2} (x) = 1$

6 0

2 years ago