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3 years ago

5

Solve the following system of equation graphically 2x+y=-1 and x+2y=4

1 answer:

Mumz [18]3 years ago

4 0

As 2x + y = -1

Then,

y = - 1 - 2x

We can to replace on the bellow equation.

x + 2y = 4

x + 2.( -1 -2x) = 4

Doing the distributive

x + 2.(-1) + 2.(-2x) = 4

x -2 -4x = 4

-3x -2 = 4

-3x = 4 + 2

-3x = 6

x = 6/-3

x = -2
________________

Then, the value of y will be:

y = -1 -2x

y = -1 -2.(-2)

y = -1 + 4

y = 3

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HELP IM FAILING MATH OOOOFFFF

meriva

The point-slope form:

$y-y_1=m(x-x_1)\\\\m=\dfrac{y_2-y_1}{x_2-x_1}$

We have the points $(-4,\ -1)$ and $\left(\dfrac{1}{2},\ 3\right)$ .

Substitute:

$m=\dfrac{3-(-1)}{\frac{1}{2}-(-4)}=\dfrac{4}{4\frac{1}{2}}=\dfrac{4}{\frac{9}{2}}=4\cdot\dfrac{2}{9}=\dfrac{8}{9}\\\\y-(-1)=\dfrac{8}{9}(x-(-4))\\\\y+1=\dfrac{8}{9}(x+4)$

The standard form: Ax + By = C

$y+1=\dfrac{8}{9}(x+4)\qquad\text{multiply both sides by 9}\\\\9y+9=8(x+4)\qquad\text{use distributive property}\\\\9y+9=8x+32\qquad\text{subtract 9 from both sides}\\\\9y=8x+23\qquad\text{subtract 8x from both sides}\\\\-8x+9y=23\qquad\text{change the signs}\\\\\boxed{8x-9y=23}$

4 0

3 years ago

Three sets have 5, 10, 15 elements, respectively. How many elements can their union and intersection have?

Degger [83]

Answer:

$Union = 15$

Step-by-step explanation:

Given

$n(A) = 5; n(B) = 10; n(C) = 15$

Solving (a): Possible union elements

This is the represented by element with the largest number of the sets

i.e.

$Union = 15$

Solving (b): Possible intersection elements

This is the represented by element with the least number of the sets

i.e.

$Intersection = 5$

6 0

3 years ago

Gary drove to the park at a rate of 50 miles per hour if it took him 2.5 hours to get from his house to the park how far away is

Marina86 [1]

Answer:

The distance of the park from the Gary's house is 125 miles.

Step-by-step explanation:

Speed of Gary = 50 miles/hour

Time taken by Gary to reach the park from his house = 2.5 hours

Now, we know that,

Distance travelled = speed × time

So, distance between park and Gary's house = speed × time

= 50 × 2.5

= 125 miles

So, the park is 125 miles away from the Gary's house.

4 0

3 years ago

Simply <br><br> 28 divided by 2 plus 3(8) minus (12-8)

snow_tiger [21]

U can easily put this through a calculator, but it’s 24 :)

6 0

2 years ago

Read 2 more answers

On a road map with a scale of 1 cm. : 110 mi., the distance between two cities measures 4.5 cm. What is the actual distance betw

Scorpion4ik [409]

Answer:

465 miles

Step-by-step explanation:

So you have the ratio 1 cm: 110 mi, so you can multiply both sides of this ratio by 4.5 to get

4.5 cm: 465 mi

8 0

3 years ago