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3 years ago

Any help would be greatly appreciated

Mathematics

1 answer:

harkovskaia [24]3 years ago

8 0

Answer:

<h2>the first ordered pair is (-2, -2)</h2><h2>the second ordered pair is (4,0)</h2>

Step-by-step explanation:

to find the missing values, plug in the given values into the equation:

x-3y=4

the first ordered pair:

we are given a y-value (-2), so lets plug it into the equation:

x-3*(-2)=4

now solve for the missing value:

x+6=4

x=4-6

x=-2

now plug in both x and y and check if the equation is true:

(-2)-3*(-2)=4

-2+6=4

6-2=4

4=4

the first ordered pair is (-2, -2)

the second ordered pair:

we are given a x-value (4), so lets plug it into the equation:

(4)-3y=4

now solve for the missing value:

-3y=4-4

-3y=0

y=0/-3

y=0

now plug in both x and y and check if the equation is true:

(4)-3*(0)=4

4-0=4

4=4

the second ordered pair is (4,0)

You might be interested in

Find three consecutive integers such that the sum of the largest and 5 times the smallest is -244. URGENT

Bad White [126]

Answer:

-39+5(-41)=244

Step-by-step explanation:

Consider 3 consecutive integers: (smallest) x, x+1 and x+2 (largest)

Five times the smallest means 5x

Sum of the largest and five times the smallest means x+2+5x

This sum is -244 means x+2+5x=-244

Solve this equation

x+2+5x=-244

6x+2=-244

6x=-244-2

6x=-246

x=-41

So, smallest number is -41, second is -40 and largest is -39

= -39+5(-41)=244

Hope this helps, have a nice day/night! :D

5 0

3 years ago

What is the area of the composite figure? (use 3.14 for pi). Explain how you arrived at your answer. Please round to the nearest

maksim [4K]

The area of the given diagram is 29.817 square centimeters. The given diagram is combination of rectangle and semi circle.

Step-by-step explanation:

The given is,

Given diagram is combination of Rectangle and Semi circle.

Step:1

Res the attachment,

Area of given diagram = Area of A + Area of B..............(1)

Step:2

For A,

The A section in the given diagram is semi circle,

Diameter of semi circle = Total distance - ( 2+3)

( ∵ 2, 3 are top distance in the given diagram)

$= 10 - 5$

Diameter, d = 5 cm

Radius, $r = \frac{d}{2}$

$r = \frac{5}{2}$

r = 2.5 cm

Area, $A_{A} = \frac {\pi r^{2} }{2}$ ........................(2)

$A_{A} = \frac {\pi (2.5)^{2} }{2}$

$= \frac {\pi ( 6.25) }{2}$

$= \frac{19.63}{2}$

$A_{A} = 9.8174 cm^{2}$

Step:3

For B,

Area of rectangle is,

$A_{B} =lb$ .....................(3)

Where, l - Length = 10 cm

b - Width = 2 cm

Equation (3) become,

$= (10)(2)$

$= 20$

Area of B, $A_{B}$ = 20 $cm^{2}$

Step:4

From the equation (1),

Area of given diagram = 20+ 9.81747

Area = 29.817 square centimeters

Result:

The area of the given diagram is 29.817 square centimeters. The given diagram is combination of rectangle and semi circle.

5 0

3 years ago

beginning at sea level a scuba diver dove 1 2/3 feet into the water , and then dove an additional 3 2/5 feet at what elevation i

skad [1K]

The given details are illustrations of addition and subtractions of fractions. The scuba driver is at an elevation of $-5\frac{1}{15}$ ft below the sea level.

Given that:

$n_1 = 1\frac 23$ --- the first dive

$n_2 = 3\frac 25$ ---- the additional dive

From the question, we understand that the diver starts at the sea level.

This is represented with 0ft.

So, the diver's elevation (d) is calculated as follows:

$d = 0 - n_1 - n_2$ --- we use subtraction because the diver is below the sea level

So, we have:

$d = 0 - 1\frac 23 - 3\frac 25$

$d = - 1\frac 23 - 3\frac 25$

Convert fractions

$d = - \frac 53 - \frac{17}5$

Take LCM

$d = \frac{-5 \times 5 - 17 \times 3}{15}$

$d = \frac{-76}{15}$

Reduce fraction

$d = -5\frac{1}{15}$

The above value means that the diver's elevation is at $-5\frac{1}{15}$ ft below the sea level.