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4 years ago

Em 1 Graph the system of equations. { x−y=6 ,4x+y=4

Mathematics

1 answer:

muminat4 years ago

8 0

Graphing the system of equations is shown in figure attached.

Solution set is (2,-4). The lines will intersect at (2,-4)

Step-by-step explanation:

We need to graph the system of equations. $x-y=6 ,4x+y=4$

First we will find value of x and y

Let:

$x-y=6\,\,eq(1)\\4x+y=4\,\,eq(2)$

Add eq(1) and eq(2)

$x-y=6\,\,\\4x+y=4\,\,\\------\\5x=10\\x=10/5\\x=2$

Putting value of x in eq(1) and finding y

$x-y=6\\2-y=6\\-y=6-2\\-y=4\\y=-4$

So, y=-4

Graphing the system of equations is shown in figure attached.

Solution set is (2,-4). The lines will intersect at (2,-4)

Keywords: System of equations

Learn more about system of equations at:

#learnwithBrainly

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Plz, help ASAP!!!!!!<br> WILL MARK BRAINLIEST

lions [1.4K]

Answer:

(5,-3) , (10, -2), (7,-8)

Step-by-step explanation:

The new triangle will be

(5,-3) , (10, -2), (7,-8) by mapping

(x,y) => (x +3, y-5)

5 0

4 years ago

Your math test has 38 questions and is worth 200 points. The test consists of

vampirchik [111]

Answer:

35 questions are worth 4 points and 3 questions are worth 20 points

Step-by-step explanation:

I used guess and check

Check: 35 x 4 + 3 x 20 = 140 + 60 = 200, which means this is correct

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3 years ago

How do I solve a given right triangle to find Cos, Sin, and Tan. How do I solve for a missing adjacent side? (For Example: Imagi

Sphinxa [80]

The steps to find cos, sin, and tan and missing adjacent side of a given right angle triangle is explained.

<u>Solution:</u>

Given, a right triangle with A, B, and C.

Opposite side = 70 inches

Hypotenuse = 12 feet = 12 $\times$ 12 inches = 144 inches

Adjacent side = "x" inches.

We are not given angle, so we have to use the hypotenuse theorem

Hypotenuse theorem means square of the length of the hypotenuse is equal to the sum of squares of the lengths of other two sides of the right-angled triangle.

$\text { hypotenuse }^{2}=(\text { opposite side })^{2}+(\text { adjacent side })^{2}$

Substituting the values we get,

$\begin{array}{l}{\rightarrow 144^{2}=70^{2}+x^{2}} \\\\ {\rightarrow x^{2}=20736-4900} \\\\ {\rightarrow x^{2}=15836} \\\\ {\rightarrow x=\sqrt{15836}} \\\\ {\rightarrow x=125.841}\end{array}$

So, the adjacent side value is 125.8 inches approximately.

Hence the steps to find adjacent side is shown above

Now let us find cos, sin and tan

$\begin{aligned} \sin \theta &=\frac{\text {opposite side}}{\text {hypotenuse}} \\\\ \cos \theta &=\frac{\text {adjacent side}}{\text {hypotenuse}} \\\\ \tan \theta &=\frac{\text {opposite side}}{\text {adjacent side}} \end{aligned}$

By substituting the required values, we can find cos, sin and tan

$\begin{array}{l}{\sin \theta=\frac{70}{144}=\frac{35}{122}} \\\\ {\cos \theta=\frac{125.8}{144}=\frac{62.9}{122}} \\\\ {\tan \theta=\frac{70}{125.8}=\frac{35}{62.9}}\end{array}$

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3 years ago

The area of a rectangular knitted blanket is 14 x^2 - 17 x -6. What are the possible dimensions of the blanket? Use factoring.

worty [1.4K]

It's unlikely that it the dimensions are either 14 and 1 in front of the x or 6 and 1 for the 6, but this is math, so you never know. I would try 7 and 2 and 3 and 2 and see what comes of it.

(7x 2)(2x 3 ) That looks promising. We'll put the 3 with the 2x. That leaves us with the signs. We need 17 to be minus

(7x 2)(2x - 3) that gives you - 21 x So the 2 with the seven has to be plus.

(7x + 2)(2x - 3) should be the the factored answer.
7x + 2 = 0 has no meaning. Measurements cannot be minus.

2x - 3 = 0
2x = 3
x = 3/2

If there are choices, please list them. That's as far as is possible.

5 0

3 years ago

Pls help due today click on photo to see the rest

marissa [1.9K]

Answer:

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Hope this helps!

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3 years ago