All categories

3 years ago

Solve each system of equations. 4x + 6y = 8 5x – 4y = 25

1 answer:

8 0

$\left \{ {{4x+6y=8} \atop {5x-4y=25}} \right. \\ \left \{ {{4x+6y=8} \atop {5x=25+4y}} \right.\\ \left \{ {{4x+6y=8} \atop {x=5+0.8y }} \right. \\ \left \{ {{4(5+0.8y)+6y=8} \atop {x=5+0.8y }} \right. \\ \left \{ {{20+3.2y+6y=8} \atop {x=5+0.8y }} \right. \\ \left \{ {{9.2y=-12} \atop {x=5+0.8y }} \right. \\ \left \{ {{y= -\frac{12}{9.2} } \atop {x=5+0.8y }} \right. \\ \left \{ {{y= -\frac{120}{92} } \atop {x=5+0.8(-\frac{12}{9.2}) }} \right. \\$
$\left \{ {{y= -1\frac{28}{92} } \atop {x=5-\frac{96}{92} }} \right. \\ \left \{ {{y= -1\frac{7}{23} } \atop {x=5-1\frac{1}{23} }} \right. \\ \left \{ {{y= -1\frac{7}{23} } \atop {x=4\frac{1}{23} }} \right. \\$
$\boxed{(x; y)=(4\frac{1}{23}; -1\frac{7}{23}) }$

You might be interested in

50 PTS ANSWER ALL <3333333

11Alexandr11 [23.1K]

QUESTION 33

The length of the legs of the right triangle are given as,

6 centimeters and 8 centimeters.

The length of the hypotenuse can be found using the Pythagoras Theorem.

${h}^{2} = {6}^{2} + {8}^{2}$

${h}^{2} = 36+ 64$

${h}^{2} = 100$

$h = \sqrt{100}$

$h = 10cm$

Answer: C

QUESTION 34

The triangle has a hypotenuse of length, 55 inches and a leg of 33 inches.

The length of the other leg can be found using the Pythagoras Theorem,

${l}^{2} + {33}^{2} = {55}^{2}$

${l}^{2} = {55}^{2} - {33}^{2}$

${l}^{2} = 1936$

$l = \sqrt{1936}$

$l = 44cm$

Answer:B

QUESTION 35.

We want to find the distance between,

(2,-1) and (-1,3).

Recall the distance formula,

$d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}$

Substitute the values to get,

$d=\sqrt{( - 1-2)^2+(3- - 1)^2}$

$d=\sqrt{( - 3)^2+(4)^2}$

$d=\sqrt{9+16}$

$d=\sqrt{25}$

$d = 5$

Answer: 5 units.

QUESTION 36

We want to find the distance between,

(2,2) and (-3,-3).

We use the distance formula again,

$d=\sqrt{( - 3-2)^2+( - 3- 2)^2}$

$d=\sqrt{( - 5)^2+( - 5)^2}$

$d=\sqrt{25+25}$

$d=\sqrt{50}$

$d=5\sqrt{2}$

Answer: D

8 0

3 years ago

Read 2 more answers

Find one terminating decimal and one repeating decimal between -1/2 and -1/3

Masteriza [31]

Terminating decimal:
-0.45
Repeating decimal:
-2/9 = -0.22222222... or -0.2 with an overline over the 2(that's how you notate a repeating decimal)

7 0

3 years ago

An art teacher has 28 students in her first-period class and 24 students in her second-period class. If almost 30% of the studen

Goshia [24]

Answer:
C. 8

Explanation:
One way to solve this is to find 30% of each class, 28 and 24.

30% of 28:
28 • 0.30 = 8.4
30% of 24:
24 • 0.30 = 7.2

You can then find the average of these two numbers.

8.4 + 7.2 = 15.6
15.6 ➗ 2 = 7.8
7.8 rounds up to 8

Another way to solve is to first find the average number of people in each class.

28 + 24 = 52
52 ➗ 2 = 26

You can then find 30% of this number.

26 • 0.30 = 7.8
7.8 rounds up to 8

3 0

3 years ago

en un muceo visitan aproximadamente en el mes de diciembre 400,000 personas.Cuantas personas exacta visitan el muceo

vlada-n [284]

Oye me puedes mandar una foto de tu problema para haci poder ayudarte

5 0

3 years ago

Factor completely 4а^2 - 8а - 5

Evgesh-ka [11]

Answer:

(2a + 1)(2a - 5)

Step-by-step explanation:

Given

4a² - 8a - 5

Consider the factors of the product of the coefficient of the a² term and the constant term which sum to give the coefficient of the a- term

product = 4 × - 5 = - 20 and sum = - 8

The factors are + 2 and - 10

Use these factors to split the a- term

4a² + 2a - 10a - 5 ( factor the first/second and third/fourth terms )

= 2a(2a + 1) - 5(2a + 1) ← factor out (2a + 1) from each term

= (2a + 1)(2a - 5)

5 0

3 years ago