All categories

3 years ago

Solve the system using an equivalent system

1 answer:

8 0

Add y to both sides in 1st equation
-2x=y
sub -2x for y in2nd equation
3x-(-2x)=10
3x+2x=10
5x=10
divide 5
x=2

sub back
-2x=y
-2(2)=y
-4=y

(x,y)
(2,-4)
C is ans

You might be interested in

Suppose a kite has two congruent angles of 100°. Of the remaining angles, one is four times larger than the other. What is the m

Pani-rosa [81]

Answer:

The measure of the largest angle in the kite is 128 degrees

Step-by-step explanation:

we know that

The sum of the interior angles in any quadrilateral must be equal to 360 degrees

A kite is a quadrilateral

Let

A,B,C and D the measure of the interior angles

$A+B+C+D=360^o$

we have that

$A=B=100^o$

substitute

$100^o+100^o+C+D=360^o$

$C+D=160^o$ ----> equation A

Remember that

one is four times larger than the other

$C=4D$ ----> equation B

substitute equation B in equation A

$4D+D=160$

solve for D

$5D=160\\D=32^o$

Find the measure of angle C

$C=4(32)=128^o$

therefore

The measure of the largest angle in the kite is 128 degrees

5 0

4 years ago

What happens when there is another sign in front of an integer? <br> Ex: +(-3)

Paraphin [41]

Answer:

-3

Step-by-step explanation:

To add integers with different signs, keep the sign of the number with the largest absolute value and subtract the smallest absolute value from the largest. Subtract an integer by adding its opposite.

-From Khan Academy-

3 0

3 years ago

Read 2 more answers

A climber is on a hike. After 2 hours he is at an altitude of 400 feet. After 6 hours he is at an altitude of 700 feet. Is the r

cluponka [151]

Answer:

not enough information

Step-by-step explanation:

Dividing altitude by hours, we find the ratios to be 400/2 = 200 ft/h and 700/6 = 116 2/3 ft/h.

These are not the same ratio, so altitude is not proportional to time.

___

However, that's not what the question asks. It ask about rate of change. We only have enough information to determine the rate of change between hour 2 and hour 6 is 300 ft in 4 hours, or 75 ft/hour. Since we don't have any other rate of change information, we cannot determine if the rate of change is proportional to anything.

_____

<em>Comment on the question</em>

We suspect the question is simply worded poorly, and that we're supposed to determine if altitude is proportional to hours. (It is not). If that is actually the question, "rate of change" needs to be left out of the question.

6 0

3 years ago

Ryan read 145 pages of his book if he read 29 pages every night how many nights did it take to complete the book

Andreas93 [3]

5 nights because

145/29 is 5

4 0

3 years ago

Read 2 more answers

write the equation of the line that is perpendicular to the given line and that passes through the given point. y = -1/3x+5;(4,3

timama [110]

Answer:

The equation of line perpendicular to given line equation and passing through point (4,3) is y = 3 x - 9 .

Step-by-step explanation:

Given as :

The given equation of one line = y = $\dfrac{-1}{3}$ x + 5

∵ Equation of line in slope-intercept form is written as

y = m x + c

where m is the slope of line

And c is the intercept of y

Now, Comparing given line equation with standard slope intercept line equation

∴ m = $\dfrac{-1}{3}$

Slope of this line = m = $\dfrac{-1}{3}$

Now, another line is perpendicular to the given line

For perpendicular lines , the products of slope of lines = - 1

Let the slope of another line = M

So, from perpendicular lines condition

m × M = - 1

∴ M = $\dfrac{-1}{m}$

I.e M = $\frac{-1}{\frac{-1}{3}}$

So, M = 3

∴ The slope of other line = M = 3 , and the line passing through point (4,3)

Now, Again

The equation of line in slope-intercept form

I.e y = M x + c

Now, satisfying the points on line

So, 3 = 3 × 4 + c

Or, 3 = 12 + c

∴ c = 3 - 12

i.e c = - 9

or, The other line equation = y = 3 x - 9

Hence, The equation of line perpendicular to given line equation and passing through point (4,3) is y = 3 x - 9 . Answer

5 0

3 years ago