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3 years ago

Solve the problem by graphing 4x-2y=22 6x+9y=-3

Mathematics

1 answer:

butalik [34]3 years ago

7 0

Change these equations into the equations of linear functions.
$\left \{ {{4x-2y=22} \atop {6x+9y=-3}} \right. \\ \\
 \left \{ {{-2y=-4x+22} \atop {9y=-6x-3}} \right. \\ \\
 \left \{ {{y=2x-11} \atop {y=-\frac{2}{3}x-\frac{1}{3}}} \right.$

Draw function graphs and read coordinates of the intersection.
$\left \{ {{x=4} \atop {y=-3}} \right.$

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What is the area of the figure below ?

Airida [17]

Answer:

Step-by-step explanation:

Area of the figure = area of the down triangle + area of trapezium + area of the upper triangle

Down triangle:

Base b = 8 in

Height = 6 in

$Area = \frac{1}{2}bh\\=\frac{1}{2}*8*6\\\\=4*6$

= 24 in²

Trapezium:

bases a = 4 in & b = 6 in

Height h = 5 in

$Area=\frac{(a+b)h}{2}\\\\=\frac{(4+6)*5}{2}\\\\=\frac{10*5}{2}\\\\=5*5$

= 25 in²

Area of the upper triangle:

Base b = 6 in

Height = (8 - 5) = 3 in

$Area=\frac{1}{2}bh\\\\=\frac{1}{2}*6*3\\\\=3*3$

= 9 in²

Area of the figure = 24 + 25 + 9 = 58 in²

3 0

3 years ago

Read 2 more answers

Need help with #11 a and b please

sergij07 [2.7K]

The slope--- 5.2x represents how much income is increased based on the worker's experience year
the y-int ------ 22 represent if the worker has no experience then he gets $22 income

b) the way you can tell the cost of income in 19 years is to estimate it using your ruler or just eyeball it

I'm sure you don't need this becuz u post this question a week ago

8 0

3 years ago

Use the identity (x+y)(x−y)=x2−y2 to find the difference of two numbers if the sum of the numbers is 12 and the difference of th

Natalka [10]

Answer:

The difference of two numbers using identity $(x+y)(x-y)=x^2-y^2$ is 4.

Step-by-step explanation:

Given: The sum of the numbers is 12 and the difference of the squares of the numbers is 48.

To find the difference of two numbers using identity $(x+y)(x-y)=x^2-y^2$

Let the two numbers be a and b, then

Given that the sum of the numbers is 12

that is a + b = 12 .........(1)

Also, given the difference of the squares of the numbers is 48.

that is $a^2-b^2=48$ ..........(2)

Using given identity $(x+y)(x-y)=x^2-y^2$

We have $(a+b)(a-b)=a^2-b^2$

Substitute the known values, we have,

$12(a-b)=48$

Divide both side 12 , we have,

$(a-b)=4$

Thus, the difference of two numbers using identity $(x+y)(x-y)=x^2-y^2$ is 4.

8 0

3 years ago

Read 2 more answers

Solving Inequality's

devlian [24]

How can I send you the drawn representation on number line ?

25)

z + 4 >= 2z

-z >= -4

z <= 4 (you flip the sign when you divide over negative number)

on number line: from 4 to -infinity

you use normal arithmetic like equations

29)

-9 + 2a < 3a

-9 < a (just one step done)

on number line from -9 to infinity

41 and 43 ? not in the page

5 0

3 years ago

Pls help me I'll give brainlest and points

dmitriy555 [2]

Answer:

See below.

Step-by-step explanation:

O is the origin, so its abscissa is 0. O: 0

The only point 4 units from O is A, so A: 4

Point C has a positive abscissa like A.

Points B and C have opposite abscissas. The only opposites are -3 and 3, but C is positive, and B is negative.

B: -3

C: 3

D: -4.5

E: -6

M = (4 + (-6))/2 = -1. M: -1

OB = |0 - (-3)| = |3| = 3

DA = |-4.5 - 4| = |-8.5| = 8.5

4 0

3 years ago