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3 years ago

I really need help on this please.3x+4y=36 y=-0.5x+8 substitution

Mathematics

1 answer:

Lena [83]3 years ago

6 0

Answer:

Step-by-step explanation:

3x+4(-0.5x+8)=36

3x-2x+32=36

X=36-32

X=4

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The quotient rule for exponents states that bm bn=_______, b≠0 . When dividing exponential expressions with the same nonzero b

wariber [46]

Answer:

The quotient rule for exponents states that $b^{m}\div b^{n}=b^{m-n}$ .

When dividing exponential expressions with the same nonzero base, <u>subtract</u> the exponents.

Step-by-step explanation:

Some rules to solve exponents are:

$x^{0}=1$
$(x^{m})^{n}=x^{mn}$
$x^{-n}=\frac{1}{x^{n}}$
$x^{m}\cdot x^{n}=x^{m+n}$
$\frac{x^{m}}{x^{n}}=x^{m-n}$

The quotient rule for exponents states that:

$b^{m}\div b^{n}=b^{m-n}$ .

When dividing exponential expressions with the same nonzero base, <u>subtract</u> the exponents.

3 0

3 years ago

)Suppose ABC is a right triangle with sides of lengths a, b, and c and right angle at C. Find the unknown side length using the

konstantin123 [22]

Answer:

$a=\sqrt{7}$

$\text{tan}(A)=\frac{\sqrt{7}}{3}$

Step-by-step explanation:

Please find the attachment.

We have been given that ABC is a right triangle with sides of lengths a, b, and c and right angle at C.

To find the side length a, we will Pythagoras theorem, which states that the sum of squares of two legs of a right triangle is equal to the square of the hypotenuse of right triangle.

$a^2+b^2=c^2$

Upon substituting our given values in Pythagoras theorem, we will get:

$a^2+3^2=4^2$

$a^2+9=16$

$a^2+9-9=16-9$

$a^2=7$

Take square root of both sides:

$a=\sqrt{7}$

Therefore, the length of side 'a' is $\sqrt{7}$ units.

We know that tangent relates opposite side of a right triangle with adjacent side.

$\text{tan}=\frac{\text{Opposite}}{\text{Adjacent}}$

We can see that 'a' is opposite side of angle A and 'b' is adjacent side.

$\text{tan}(A)=\frac{a}{b}$

$\text{tan}(A)=\frac{\sqrt{7}}{3}$

Therefore, the value of tan(A) is $\frac{\sqrt{7}}{3}$ .

3 0

3 years ago

The cost of renting a certain type of car is $38 per day plus $0.12 per mile. a linear function

IgorLugansk [536]

If you do it by equation it is (not specified total) = 38 + 0.12 which gives you the answer.

4 0

3 years ago

Solve this system of equations and enter an ordered pair (x,y). y = x + 3 y = -x - 5

oksano4ka [1.4K]

Answer:

(x,y). y = x + 3 y = -x - 5

Step-by-step explanation:

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4 0

3 years ago

Read 2 more answers

balandron [24]

Answer: (2x + 3) • (x-1)

Step-by-step explanation:

1 Pull out like factors :

4x + 6 = 2 • (2x + 3)

STEP

Pulling out like terms

3.1 Pull out like factors :

(5x - 5) = 5 • (x - 1)

5 0

3 years ago

I really need help on this please.3x+4y=36 y=-0.5x+8 substitution​

I really need help on this please.3x+4y=36 y=-0.5x+8 substitution