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3 years ago

8

Which linear system of equations does the matrix represent? -3 5 | 15 2 3 | -10

1 answer:

Gre4nikov [31]3 years ago

4 0

Actually the answer is
-3x + 5y = 15
2x + 3y = -10

You might be interested in

What is the length of BC in the right triangle below?

sleet_krkn [62]

Answer:

F. 82

Step-by-step explanation:

To calculate the length of BC, Pythagoras theorem will be used.

It says, Hypotenuse^2 = Perpendicular^2 + Base^2

In our case, Perpendicular = AB = 18 and Base = AC = 80

therefore,

Hypotenuse^2 = 18^2 + 80^2 = 6724

Hypotenuse = BC = $\sqrt{6724}$ = 82

6 0

3 years ago

What is the area of the figure if x = 25 cm and y=20 cm?<br> Use 3.14 to approximate it.

Akimi4 [234]

The area of the circle is 6,358.5cm²

<h3>Area of the circle</h3>

The formula for calculating the area of a circle is expressed as;

A = πr²

r is the radius = x + y

r = 25 + 20 = 45cm

Substitute the given parameters into the formula to have:

A = 3.14(45)²

A = 6,358.5cm²

Hence the area of the circle is 6,358.5cm²

Learn more on area of a circle here; brainly.com/question/10645610

4 0

2 years ago

A standard number cube is rolled once, what is the probability that the upturned face is three or less?

kow [346]

Answer:

1/2

Step-by-step explanation:

3 or less is half the numbers on the cube.

3/6 simplifies to 1/2

7 0

3 years ago

Can somebody please help me either these two

Zarrin [17]

1. 8.96 x 105 I think
2. <span>4.25 x 10-4
</span>

4 0

3 years ago

Read 2 more answers

Trapezoids and kites

lisov135 [29]

QUESTION 3

The sum of the interior angles of a kite is $360\degree$ .

$\Rightarrow 36\degree +70\degree+m$ .

$\Rightarrow 106\degree+m$ .

$\Rightarrow m$ .

$\Rightarrow m$ .

But the two remaining opposite angles of the kite are congruent.

$\Rightarrow m$

$\Rightarrow m$ .

$\Rightarrow 2m$ .

$\Rightarrow m$ .

$\Rightarrow m$ .

QUESTION 4

RH is the hypotenuse of the right triangle formed by the triangle with side lengths, RH,12, and 20.

Using the Pythagoras Theorem, we obtain;

$|RH|^2=12^2+20^2$

$|RH|^2=144+400$

$|RH|^2=544$

$|RH|=\sqrt{544}$

$|RH|=4\sqrt{34}$

QUESTION 5

The given figure is an isosceles trapezium.

The base angles of an isosceles trapezium are equal.

Therefore $m$

QUESTION 6

The measure of angle Y and Z are supplementary angles.

The two angles form a pair of co-interior angles of the trapezium.

This implies that;

$m$

$\Rightarrow m$

$\Rightarrow m$

QUESTION 7

The sum of the interior angles of a kite is $360\degree$ .

$\Rightarrow 48\degree +110\degree+m$ .

$\Rightarrow 158\degree+m$ .

$\Rightarrow m$ .

$\Rightarrow m$ .

But the two remaining opposite angles are congruent.

$\Rightarrow m$

$\Rightarrow m$ .

$\Rightarrow 2m$ .

$\Rightarrow m$ .

$\Rightarrow m$ .

QUESTION 8

The diagonals of the kite meet at right angles.

The length of BC can also be found using Pythagoras Theorem;

$|BC|^2=4^2+7^2$

$\Rightarrow |BC|^2=16+49$

$\Rightarrow |BC|^2=65$

$\Rightarrow |BC|=\sqrt{65}$

QUESTION 9.

The sum of the interior angles of a trapezium is $360\degree$ .

$\Rightarrow m$ .

$\Rightarrow m$ .

But the measure of angle M and K are congruent.

$\Rightarrow m$ .

$\Rightarrow m$ .

$\Rightarrow m$ .

$\Rightarrow m$ .

6 0

3 years ago