All categories

3 years ago

Solve the system of equations using addition x+y=9 x-y=3

Mathematics

2 answers:

Semmy [17]3 years ago

8 0

(6,3) Is the answer________________

harkovskaia [24]3 years ago

4 0

I think this is correct. Hope this helps :)

You might be interested in

I'll give more points here is what I need.

Serga [27]

Answer:

The answer to your question is x = 3; y = 3

Step-by-step explanation:

Data

angle = 45°

Opposite side = x

Adjacent side = y

hypotenuse = 3√2

To solve this problem, use trigonometric functions.

1) To find x, use the trigonometric function sine.

sin Ф = Opposite side / hypotenuse

-Solve for Opposite side (x)

Opposite side = hypotenuse x sin Ф

-Substitution

Opposite side = 3√2 sin 45

-Simplification

Opposite side = 3√2 (1 / √2)

Opposite side = 3(1)

-Result

x = 3

2) To find y use the trigonometric function cosine

cos Ф = Adjacent side / hypotenuse

-Solve for Adjacent side

Adjacent side = hypotenuse x cos Ф

-Substitution

Adjacent side = 3√2 x cos 45

-Simplification

Adjacent side = 3√2 x (1/√2)

Adjacent side = 3(1)

-Result

y = 3

5 0

3 years ago

Write an appropriate inverse variation equation if y = 9 when x = 3.

pav-90 [236]

$\bf \qquad \qquad \textit{direct proportional variation}\\\\
\textit{\underline{y} varies directly with \underline{x}}\qquad \qquad y=kx\impliedby 
\begin{array}{llll}
k=constant\ of\\
\qquad variation
\end{array}\\\\
-------------------------------\\\\
\begin{cases}
y=9\\
x=3
\end{cases}\implies 9=k3\implies \cfrac{9}{3}=k\implies \boxed{3=k}
\\\\\\
thus\qquad y=3x$

3 0

3 years ago

What values of c and d make the equation true?

saul85 [17]

Answer:

Third option.

Step-by-step explanation:

You need to cube both sides of the equation. Remember the Power of a power property:

$(a^m)^n=a^{mn$

$\sqrt[3]{162x^cy^5}=3x^2y(\sqrt[3]{6y^d})\\\\(\sqrt[3]{162x^cy^5})^3=(3x^2y(\sqrt[3]{6y^d}))^3\\\\162x^cy^5=27x^6y^36y^d$

According to the Product of powers property:

$(a^m)(a^n)=a^{(m+n)$

Then. simplifying you get:

$162x^cy^5=162x^6y^{(3+d)}$

Now you need to compare the exponents. You can observe that the exponent of "x" on the right side is 6, then the exponent of "x" on the left side must be 6. Therefore:

$c=6$