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4 years ago

Consider the system of linear equations.

Mathematics

1 answer:

Nadusha1986 [10]4 years ago

4 0

Answer:

The system has one solution.

Both lines have the same y-intercept.

The solution is the intersection of the 2 lines.

Step-by-step explanation:

Lines are

$2y=x +10$

slope = 0.5

y intercept(put x =0) =5

$3y =3x +15$

slope = 1

y intercept(put x =0 ) =5

Both are linear equation thus they have only one solution. Also two non parallel lines meet only at one point.

If you solve these linear equation coordinate of point of intersection of line on graph will come.

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Which of the following expressions is equivalent to -2-5?

Vanyuwa [196]

-7 Hope this helps. :)

6 0

3 years ago

Read 2 more answers

Bailey bought a lawnmower for $600. The value of the lawnmower depreciates 2% every year. What is the value of the lawnmower aft

givi [52]

Answer:

$542

Step-by-step explanation:

we know that

The equation of a exponential decay function is given by

$y=a(1-r)^x$

where

y is the value of the lawnmower

x is the time in years

a is the initial value

r is the rate of change

we have

$a=\$600\\r=2\%=2/100=0.02$

substitute

$y=600(1-0.02)^x$

$y=600(0.98)^x$

For x=5 years

$y=600(0.98)^5=\$542$

8 0

3 years ago

Please help me please

spayn [35]

Answer:

A. 34°

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets
Parenthesis
Exponents
Multiplication
Division
Addition
Subtraction

Left to Right

Equality Properties

Trigonometry

[Right Triangles Only] SOHCAHTOA
[Right Triangles Only] tanθ = opposite over adjacent
Inverse Trig

Step-by-step explanation:

Step 1: Define

Identify variables

Angle θ = x

Opposite leg AC = 24

Adjacent leg CB = 35

Step 2: Solve for x

Substitute in variables [Tangent]: $\displaystyle tanx^\circ = \frac{24}{35}$
Inverse Trig [Tangent]: $\displaystyle x^\circ = tan^{-1}(\frac{24}{35})$
Evaluate: $\displaystyle x = 34.439^\circ$
Round: $\displaystyle x \approx 34^\circ$

4 0

3 years ago

What is -3x+12y=24 in standard form

nalin [4]

So standard form is Ax+By=C
Since the problem is already in that form you don’t need to switch it around however A has to be more than 0 (so positive). Divide the equation by -3 to get the answer x-4y=-8

8 0

3 years ago

Please help ASAP ITS 14 points

Liono4ka [1.6K]

Answer:

area= 62.88

Step-by-step explanation:

to find the area of the whole figure take the diameter of the circle witch is 8 and multiply it by 11. the area of the whole figure including the semi-circle is 88.

now find the area of the whole circle and divide it in half.

A= pi * r^2 / 2

A= 3.14 * 4^2 /2

A= 3.14 * 16 / 2

A= 25.12

Now take the area of the semi-circle and subtract it from the whole figure.

88-25.12=62.88

4 0

3 years ago