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3 years ago

Solve the following systems of inequalities and select the correct graph:

1 answer:

8 0

We can replace the inequality with qual sign:
2x - y = 4
x + y = -1
We can combine both question
3x = 3
x = 1
Since we know x = 1, we can solve for y by plug in in either equation:
x + y = -1
1 + y =-1
y = -2
or
2x - y = 4
2(1) - y = 4
-y = 2
y = -2

So the solution of this system of equation is the coordinate (1, -2)

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Find the circumcenter of the triangle (-2,4) (-2,-1) (1,-1)

lana66690 [7]

Answer:

( $-\frac{1}{2}$ , $\frac{3}{2}$ )

Step-by-step explanation:

( $x_{1}$ , $y_{1}$ )

( $x_{2}$ , $y_{2}$ )

Coordinates of midpoint are

( $\frac{x_{1} +x_{2} }{2}$ , $\frac{y_{1} +y_{2} }{2}$ )

~~~~~~~~~~~~~~~~~~~~

The figure is right triangle.

The circumcenter is the middle of the hypotenuse.

( - 2, 4 )

( 1 , - 1 )

( $-\frac{1}{2}$ , $\frac{3}{2}$ )

3 0

1 year ago

Find the value of x, y, and z in the rhombus below.

Yuki888 [10]

Solution:

It should be noted:

Opposite sides of a rhombus are always equal.
Opposite angles of a rhombus are always equal.

Thus:

(-y - 10) = 90°
3z - 3 = 90°
4x - 2 = 90°

Finding x:

4x - 2 = 90°
=> 4x = 90 + 2
=> 4x = 92
=> x = 23

Finding y:

(-y - 10) = 90°
=> -y - 10 = 90°
=> -y = 100
=> y = -100

Finding z:

3z - 3 = 90°
=> 3z = 90 + 3
=> 3z = 93
=> z = 31

4 0

2 years ago

Read 2 more answers

What’s an equivalent expression to 5(2x-1)

netineya [11]

Answer:

10x-5

Step-by-step explanation:

Because u can simplify the equation into a shorter one by simplifying the numbers in paranthesis with 5 and 5 times 2 equal 10 as 5 times 1 equal 5

6 0

3 years ago

21 increased by twice Gail's height Use the variable g to represent Gail's height.

dmitriy555 [2]

The expression represented by 21 increased by twice Gail's height is 21 + 2g

<h3>What are expressions?</h3>

Expressions are mathematical statements that are represented by variables, coefficients and operators

<h3>How to translate the algebraic expression?</h3>

The expression is given as

21 increased by twice Gail's height

Where

g represents Gail's height

So, we have

21 increased by twice Gail's height ⇒ 21 increased by twice g

Twice means 2*

So, we have

21 increased by twice Gail's height ⇒ 21 increased by 2g

increased by means +

So, we have

21 increased by twice Gail's height ⇒ 21 + 2g

Hence, the expression represented by 21 increased by twice Gail's height is 21 + 2g

Read more about expressions at

brainly.com/question/22019327

#SPJ1

6 0

1 year ago

Can someone answer question 10-11-12 for me.

tresset_1 [31]

Width of the rectangle is 12 cm.

Solution:

The length of a rectangle is 4 cm more than its width , and the area of the rectangle is 96 cm². Find the width of the rectangle.

Given data:

Let x be width of the rectangle.

Length of the rectangle = (x + 4) cm

Area of the rectangle = 96 cm²

length × breadth = 96

$(x+4)\times x =96$

$x^2+4x=96$

Subtract 96 from both sides.

$x^2+4x-96=0$

Let us factor the polynomial.

$x^2+8x-12x-96=0$

Take x common in 1st two terms and -12 common in next two terms.

$x(x+8)-12(x+8)=0$

Now, take (x + 8) common in both terms.

$(x+8)(x-12)=0$

x + 8 = 0 and x - 12 = 0

x = -8 and x = 12

Dimension cannot be in negative terms, so ignore x = -8.

Width = 12 cm

Width of the rectangle is 12 cm.

5 0

3 years ago