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3 years ago

What is the x-value in the solution to this equation of linear equations? 2x-y=11 x+3y=-5

Mathematics

2 answers:

saw5 [17]3 years ago

6 0

The solution to these linear equations is (4,-3)

So the x-value is 4

:)))

Otrada [13]3 years ago

6 0

Answer:

x=4

Step-by-step explanation:

To solve this system of equations you just have to multiply the first equation by 3 to eliminate the Y from the equations.

(2x-y=11) 3 = 6x-3y=33

x+3y=-5 x+3y=-5

Now you´ll add both equations:

6x+x=33-5

7x=28

x= $\frac{28}{7}$

x=4

So the answer to the x-value on this system of equations is 4.

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There are 20 alligators in the swamp. Each year, the number of alligators increases by 25%. There are 25 crocodiles in the swamp

Genrish500 [490]

A)

A=20(1.25^t)

C=25+10t

b)

A(4)=20(1.25^4)≈48.82≈49 alligators to nearest whole alligator

C(4)=25+10(4)=65 crocodiles.

c)

20(1.25^t)=25+10t

1.25^t=1.25+0.5t

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3 years ago

During the regular season, a National Basketball Association team plays 82 games and a National Football League team plays 16 ga

Naddika [18.5K]

Answer:

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3 years ago

Write ✓-3 in simplest radical form.

olga nikolaevna [1]

Step-by-step explanation:

In simplest radical form

= √-3

= -3^(1/2)

= √-3

= √3i

i is imaginary number, you can write it if you find a negative number in a square root

7 0

3 years ago

What is the value of tan A?

Ronch [10]

For the given triangle, the tan of angle A equals $\frac{3}{4} = 0.75.$

Step-by-step explanation:

Step 1:

In the given triangle for angle A, the opposite side has a length of 6 cm, the adjacent side has a length of 8 cm while the hypotenuse of the triangle measures 10 cm. To calculate the tan of angle A we divide the opposite side's length by the adjacent side's length.

$tan A = \frac{oppositeside}{adjacent side}.$

Step 2:

The opposite side's length = 6 cm.

The adjacent side's length = 8 cm.

$tan A = \frac{oppositeside}{adjacent side} = \frac{6}{8} = \frac{3}{4} = 0.75.$

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3 years ago

Surveyors wished to know the distance across a lake between A and B. They measured the distance from B to C as 100 m and the ang

kherson [118]

Answer:

Step-by-step explanation:

Check the attachment for the diagram.

You can see from the diagram that it is a right angled triangle with opposite side AB and adjacent side BC. Using SOH, CAH, TOA trig identity to get the length of AB. According to TOA;

tan 35° = opposite/adjacent

tan 35° = AB/BC

tan 35° = AB/100

AB = 100tan35°

AB = 100 * 0.7002

AB = 70.02m

Hence the distance across a lake between A and B is approximately 70m

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3 years ago