Ask question

Ask question

All categories

2 years ago

7

3x+3y=6 and 5x-6y=15

1 answer:

Anna71 [15]2 years ago

7 0

Multiply first equaton by 2 and add to the other equation

6x+6y=12
<u>5x-6y=15 +</u>
11x+0y=27

11x=27
divide both sides by 11
x=27/11

sub back
3x+3y=6
divide both sides by 3
x+y=2
(27/11)+y=2
2 and 5/11+y=2
minus 2 and 5/11 both sides
y=-5/11

x=27/11
y=-5/11
(27/11,-5/11)

You might be interested in

A+b-c=180 Solve the equation

VladimirAG [237]

You can do it in multiple ways but mine is.... 140+120-160=180

3 0

2 years ago

Read 2 more answers

A sneaker company can make 50 pairs of sneakers for every 6 yards of material. Make a table to show the relation between materia

Law Incorporation [45]

A sneaker company can make 50 pairs of sneakers for every 6 yards of material.

Then in each case you can consider proportion.

1. 50 pairs -- 6 yards,

80 pairs -- x yards.

Mathematically,

$\dfrac{50}{80}=\dfrac{6}{x},\\ \\x=\dfrac{80\cdot 6}{50}=9.6\ yards.$

2. 50 pairs -- 6 yards,

100 pairs -- x yards.

Mathematically,

$\dfrac{50}{100}=\dfrac{6}{x},\\ \\x=\dfrac{100\cdot 6}{50}=12\ yards.$

3. 50 pairs -- 6 yards,

120 pairs -- x yards.

Mathematically,

$\dfrac{50}{120}=\dfrac{6}{x},\\ \\x=\dfrac{120\cdot 6}{50}=14.4\ yards.$

4. 50 pairs -- 6 yards,

140 pairs -- x yards.

Mathematically,

$\dfrac{50}{140}=\dfrac{6}{x},\\ \\x=\dfrac{140\cdot 6}{50}=16.8\ yards.$

Thus, the table is

$\begin{array}{cc}\text{Pairs}&\text{Yards}\\50&6\\80&9.6\\100&12\\120&14.4\\140&16.8\end{array}$

The domain of the relation is the set $\{50,80,100,120,140\}$ and the range of the relation is $\{6,9.6,12,14.4,16.8\}.$ See attached diagram for the graph of the relation.

4 0

2 years ago

The diagram shows a 3 cm x 5 cm x 4 cm cuboid

Rainbow [258]

Answer:

a) The length of segment AC is approximately 5.83 centimeters.

b) The angle ACD is approximately 34.5º.

Step-by-step explanation:

a) Since $AB \perp BC$ , the length of segment $AC$ is determined by Pythagorean Theorem, that is:

$AC = \sqrt{(5\,cm)^{2}+(3\,cm)^{2}}$

$AC \approx 5.831\,cm$

The length of segment AC is approximately 5.831 centimeters.

b) Since $AB \perp BC \perp AD$ , the length of segment $AD$ is determined by this Pythagorean identity:

$AD = \sqrt{(3\,cm)^{2}+(5\,cm)^{2}+(4\,cm)^{2}}$

$AD \approx 7.071\,cm$

The angle ACD is determined by the following trigonometric expression:

$\cos C = \frac{AC}{CD}$

$\cos C = \frac{5.831\,cm}{7.071\,cm}$

$\cos C = 0.825$

$C = \cos^{-1} 0.825$

$C \approx 34.448^{\circ}$

The angle ACD is approximately 34.448º.

4 0

2 years ago

Free pts for you awesome people! Have a wonderful day!

tia_tia [17]

Have a great day as well! sending good vibes your way <3

6 0

2 years ago

Read 2 more answers

Lisa is 4 years older than three times her brother Sammy's age. Let 's' represent Sammy's age and 'l' represent Lisa's age.

Fittoniya [83]

L=s+4 bc lisa is 4 and we don't know who old is Sammy..

3 0

2 years ago