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4 years ago

Y= -5x-10 y=6x+12 solve by substitution

Mathematics

2 answers:

Mamont248 [21]4 years ago

4 0

Answer:

(-2,0) x=-2 y=0

Step-by-step explanation:

Solve for the first variable in one of the equations, then substitute the result into the other equation

Hope this helps!

jasenka [17]4 years ago

4 0

Answer:

Step-by-step explanation:

y+10=−5x

− 5 y+10 =x

x=− 5 y+10

----------------

y−12=6x

y−12 /6=x

x= y−12 /6

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The earnings of two employees are given below: Employee A: 6% commission on all sales Employee B: 4% commission on the first $80

Korvikt [17]

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3 years ago

Read 2 more answers

Find the measures of the three angles, in radians, of the triangle with the given vertices: d(1,1,1), e(1,−5,2), and f(−2,2,7).

Oduvanchick [21]

Consider triangle DEF with vertices D(1,1,1), E(1,-5,2) and F(-2,2,7).

1. Find

$\overrightarrow{DE}=(1-1,-5-1,2-1)=(0,-6,1),\\ \\\overrightarrow{DF}=(-2-1,2-1,7-1)=(-3,1,6).$

Then

$\cos \angle D=\dfrac{0\cdot (-3)+(-6)\cdot 1+1\cdot 6}{\sqrt{0^2+(-6)^2+1^2}\cdot \sqrt{(-3)^2+1^2+6^2}}=\dfrac{0}{\sqrt{37} \cdot \sqrt{46} }=0.$

2. Find

$\overrightarrow{ED}=(1-1,1-(-5),1-2)=(0,6,-1),\\ \\\overrightarrow{EF}=(-2-1,2-(-5),7-2)=(-3,7,5).$

Then

$\cos \angle E=\dfrac{0\cdot (-2)+6\cdot 7+(-1)\cdot 5}{\sqrt{0^2+6^2+(-1)^2}\cdot \sqrt{(-3)^2+7^2+5^2}}=\dfrac{37}{\sqrt{37} \cdot \sqrt{83} }=\sqrt{\dfrac{37}{83}}.$

3. Find

$\overrightarrow{FE}=(1-(-2),-5-2,2-7)=(3,-7,-5),\\ \\\overrightarrow{FD}=(1-(-2),1-2,1-7)=(3,-1,-6).$

Then

$\cos \angle F=\dfrac{3\cdot 3+(-7)\cdot (-1)+(-5)\cdot (-6)}{\sqrt{3^2+(-7)^2+(-5)^2}\cdot \sqrt{3^2+(-1)^2+(-6)^2}}=\dfrac{46}{\sqrt{83} \cdot \sqrt{46} }=\sqrt{\dfrac{46}{83}}.$

$\angle E=\arccos0=\dfrac{\pi}{2},\\ \\
\angle D=\arccos\letf(\sqrt{\dfrac{37}{83}}\right)\approx 0.27\pi,\\ \\
\angle F=\arccos\letf(\sqrt{\dfrac{46}{83}}\right)\approx 0.23\pi.$

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3 years ago

Which package has the lowest cost per ounce of rice ( 12, 18, 7)

Katarina [22]

The package with the most low cost is 7.

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3 years ago

8-5(12x+8) simplify the following expression

alexandr402 [8]

Due to "order of operations" rules, you MUST do the multiplication -5(12x+8) first, eliminating the parentheses long the way:

8 - 60x - 40

Now combine the 8 and -40 and rewrite the entire answer in 2 (not 3) terms.

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3 years ago

What is the answer to -4 and 5 after a dilation with a scale factor of 2

Serga [27]

After dilation by a scale factor of 2 we get the result (-8, 10).

What is the scale factor?

When describing a shape, you must be clear about how much it has been enlarged.

The ratio of two dimensions that causes one figure to be enormous and another to be little is known as the scale factor.

Given coordinate (-4, 5)

If any general coordinate (x, y) is scaled by 2 then we get

X= 2x and Y = 2y

Hence, X= 2 * -4, where x = -4

=> X= -8

and Y= 2 * 5, where y = 5

=> Y = 10

Therefore, the required result is (-8, 10).

To learn more about scale factor from the given link

brainly.com/question/22312172

#SPJ1

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1 year ago