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3 years ago

13

Factor completely x2 - 16y2

1 answer:

Y_Kistochka [10]3 years ago

3 0

Answer:

(x+4y)(x-4y)

Step-by-step explanation:

Since

$\large a^2-b^2=(a+b)(a-b)$

we can see that

$\large x^2-16y^2=(x+4y)(x-4y)$

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Find the highest common factor of 28 and 210 <br><br> Step by step <br><br> Please help

Yuri [45]

Hello there!

To find the GCF, we must list all the factors and then just spot the greatest factor.

28: 1, 2, 4, 7, 14, 28.

210 1, 2, 3, 5, 6, 7, 10, 14, 15, 21, 30, 35, 42, 70.

So 14 is the GCF. Hope this helps you!

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3 years ago

Twenty-five teenagers were surveyed about food. Five more preferred pizza than steak. Write and solve system of equations to fin

viktelen [127]

Hope this helps! I can resubmit if my hand writing is too bad.

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4 years ago

A huge ice glacier in the Himalayas initially covered an area of 454545 square kilometers. Because of changing weather patterns,

guajiro [1.7K]

We have been given that a huge ice glacier in the Himalayas initially covered an area of 45 square kilo-meters. The relationship between A, the area of the glacier in square kilo-meters, and t, the number of years the glacier has been melting, is modeled by the equation $A=45e^{-0.05t}$ .

To find the time it will take for the area of the glacier to decrease to 15 square kilo-meters, we will equate $A=15$ and solve for t as:

$15=45e^{-0.05t}$

$\frac{15}{45}=\frac{45e^{-0.05t}}{45}$

$\frac{1}{3}=e^{-0.05t}$

Now we will switch sides:

$e^{-0.05t}=\frac{1}{3}$

Let us take natural log on both sides of equation.

$\text{ln}(e^{-0.05t})=\text{ln}(\frac{1}{3})$

Using natural log property $\text{ln}(a^b)=b\cdot \text{ln}(a)$ , we will get:

$-0.05t\cdot \text{ln}(e)=\text{ln}(\frac{1}{3})$

$-0.05t\cdot (1)=\text{ln}(\frac{1}{3})$

$-0.05t=\text{ln}(\frac{1}{3})$

$t=\frac{\text{ln}(\frac{1}{3})}{-0.05}$

$t=\frac{\text{ln}(\frac{1}{3})\cdot 100}{-0.05\cdot 100}$

$t=\frac{\text{ln}(\frac{1}{3})\cdot 100}{-5}$

$t=-\text{ln}(\frac{1}{3})\cdot 20$

$t=-(\text{ln}(1)-\text{ln}(3))\cdot 20$

$t=-(0-\text{ln}(3))\cdot 20$

$t=20\text{ln}(3)$

Therefore, it will take $20\text{ln}(3)$ years for area of the glacier to decrease to 15 square kilo-meters.

6 0

3 years ago

Fuimos al Circo "Hermanos Poncho y Carlos", y tuvimos que pagar en total $350 por mis dos hermanos, mis padres y yo. Mi mamá pag

nalin [4]

Answer:

$160

Step-by-step explanation:

El monto total a pagar es de $350

$\dfrac{1}{7}$ es pagado por mamá

$\dfrac{2}{5}$ es pagado por el hermano mayor

La porción pagada por papá es

$1-(\dfrac{1}{7}+\dfrac{2}{5})=1-(\dfrac{5+14}{35})\\ =1-\dfrac{19}{35}\\ =\dfrac{35-19}{35}\\ =\dfrac{16}{35}$

Esta cantidad pagada por papá es

$350\times\dfrac{16}{35}\\ =10\times 16\\ =\$160$

Esta cantidad pagada por papá es $160.

3 0

3 years ago

I need help plz what’s the answer

Irina-Kira [14]

The person she should go to is Melinda

6 0

3 years ago

Read 2 more answers