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3 years ago

Y is inversely proportional to the square of x.

Mathematics

1 answer:

Mkey [24]3 years ago

4 0

Step-by-step explanation:

x²y = k, where k is a real constant.

When x = 3.5, y = 8.

=> (3.5)²(8) = k, k = 98.

When y = 8/9,

we have x²(8/9) = (98).

=> x² = 110.25

=> x = 10.5 or x = -10.5.

Since we want the negative value,

the answer is x = -10.5.

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True or false? A triangle can be formed with side lengths of 2 in, 3 in, and 6 in.

Novosadov [1.4K]

hi,

the sum of any 2 sides of a triangle must be greater than the measure of the third side.

2+3=5

FALSE

6 0

3 years ago

Bonita is painting walls. Each wall is the same area and requires 2/5 gallon of paint.

shutvik [7]

You do 2/5 divided by 3/4

4 0

3 years ago

Analyze the end behavior of each function below. Then, choose one of the functions, and explain how you determined

kumpel [21]

Answer:

End behavior of a polynomial function depended on the degree and its leading coefficient.

1. If degree is even and leading coefficient is positive then

$p(x)\rightarrow \infty\text{ as }x\rightarrow \infty$

$p(x)\rightarrow \infty\text{ as }x\rightarrow -\infty$

2. If degree is even and leading coefficient is negative then

$p(x)\rightarrow -\infty\text{ as }x\rightarrow \infty$

$p(x)\rightarrow -\infty\text{ as }x\rightarrow -\infty$

3. If degree is odd and leading coefficient is positive then

$p(x)\rightarrow \infty\text{ as }x\rightarrow \infty$

$p(x)\rightarrow -\infty\text{ as }x\rightarrow -\infty$

4. If degree is odd and leading coefficient is negative then

$p(x)\rightarrow -\infty\text{ as }x\rightarrow \infty$

$p(x)\rightarrow \infty\text{ as }x\rightarrow -\infty$

(a)

$f(x)=x^4$

Here, degree is even and leading coefficient is positive.

$f(x)\rightarrow \infty\text{ as }x\rightarrow \infty$

$f(x)\rightarrow \infty\text{ as }x\rightarrow -\infty$

(b)

$g(x)=-x^4$

Here, degree is even and leading coefficient is negative.

$g(x)\rightarrow -\infty\text{ as }x\rightarrow \infty$

$g(x)\rightarrow -\infty\text{ as }x\rightarrow -\infty$

(c)

$h(x)=x^3$

Here, degree is odd and leading coefficient is positive.

$h(x)\rightarrow \infty\text{ as }x\rightarrow \infty$

$h(x)\rightarrow -\infty\text{ as }x\rightarrow -\infty$

(d)

$k(x)=-x^3$

Here, degree is odd and leading coefficient is negative.

$k(x)\rightarrow -\infty\text{ as }x\rightarrow \infty$

$k(x)\rightarrow \infty\text{ as }x\rightarrow -\infty$

4 0

3 years ago

sam has to climb to the top of the building for his firefighter training. he doesn’t know how high it is. he is 6ft y’all and hi

Virty [35]

The height of building is 35 feet

Solution:

Given that,

Sam is 6 feet tall and his shadow is 3.6 feet tall

The shadow of building is 21 feet long

To find: height of building

We can solve this by setting up a ratio comparing the height of the building to the height of the Sam and shadow of the building to the shadow of the Sam

Let us consider,

$h_b$ = height of building

$h_m$ = height of Sam

$s_b$ = shadow of building

$s_m$ = shadow of Sam

Therefore,

$\frac{\text {height of building}}{\text {shadow of building}}=\frac{\text {height of Sam}}{\text {shadow of Sam}}$

$\frac{h_{b}}{S_{b}}=\frac{h_{m}}{S_{m}}$

Substitute the values,

$\begin{aligned}&\frac{h_{b}}{21}=\frac{6}{3.6}\\\\&h_{b}=\frac{6}{3.6} \times 21\\\\&h_{b}=35\end{aligned}$

Thus height of building is 35 feet

5 0

3 years ago

PLEASE HELP!!

ExtremeBDS [4]

9.43 Should be your answer

6 0

3 years ago