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2 years ago

If 6:2=8:x, then a. 6x = 16 b. 6x = 10 c. 2x = 48 d. 2x = 14

Mathematics

1 answer:

stellarik [79]2 years ago

7 0

Answer:

6x = 16

Step-by-step explanation:

Given:

$\displaystyle \large{6:2 = 8:x}$

The equation can be rewritten as:

$\displaystyle \large{\dfrac{6}{2}=\dfrac{8}{x}}$

Multiply both sides by 2x.

$\displaystyle \large{\dfrac{6}{2}\cdot 2x=\dfrac{8}{x}\cdot 2x}$

Simplify the equation in simplest form.

$\displaystyle \large{6x=8\cdot 2}\\\\\displaystyle \large{6x=16}$

Therefore, the answer to this question is 6x = 16.

Please let me know if you have any questions regarding my answer or explanation!

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There are 1,428 reptiles at Savannah’s Reptile House. 4

Vikki [24]

Answer:

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Step-by-step explanation:

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2 years ago

Choose the quadratic equation that has a leading coefficient of 8 and solutions -10 and 7/8

Maru [420]

Answer:

$f(x)=8x^2+73x-70$

Step-by-step explanation:

We are given

zeros as -10 and 7/8

now, we can set up function as

$f(x)=a(x-(-10))(x-\frac{7}{8})$

now, we are given that

leading coefficient is 8

so, a=8

now, we can plug it

$f(x)=8(x-(-10))(x-\frac{7}{8})$

now, we can simplify it

$f(x)=8\left(x^2+\frac{73x}{8}-\frac{35}{4}\right)$

so, we get

$f(x)=8x^2+73x-70$

6 0

2 years ago

The point A(-3, -2) is translated using T: (x,y) → (x + 5, y - 3). What is the distance from A to A'?

Degger [83]

Answer:

d=5.39 units

Step-by-step explanation:

Given A (-3, -2)

T= (x+5, y-3)

T= (-3+5, -2-3)

T=(2,-5)

Applying the translation on;

A( -3,-2)

A' (-3+2, -2+ -5)

A'= (-1, -7)

Distance

d= $\sqrt { X2-X1)^2 + (Y2-Y1)^2$

A = (-3,-2) and A'(-1, -7)

d=√ (-1--3)² + (-7--2)²

d=√ (2)²+(-5)²

d=√4+25

d=√29

d=5.39 units

4 0

2 years ago

Solve the equation (linear equation) <img src="https://tex.z-dn.net/?f=8%5E%7B2x%2B7%7D%20%3D%20%28%5Cfrac%7B1%7D%7B32%7

Minchanka [31]

Answer: $x=-1$

Step-by-step explanation:

By the negative exponent rule, you have that:

$(\frac{1}{a})^n=a^{-n}$

By the exponents properties, you know that:

$(m^n)^l=m^{(nl)}$

Therefore, you can rewrite the left side of the equation has following:

$(\frac{1}{8})^{-(2x+7)}=(\frac{1}{32})^{3x}$

Descompose 32 and 8 into its prime factors:

$32=2*2*2*2*2=2^5\\8=2*2*2=2^3$

Rewrite:

$(\frac{1}{2^3})^{-(2x+7)}=(\frac{1}{2^5})^{3x}$

Then:

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As the base are equal, then:

$-3(2x+7)=5(3x)$

Solve for x:

$-6x-21=15x\\-21=15x+6x\\-21=21x\\x=-1$

8 0

3 years ago

Which label on the cone below represents the height? * A B C D

posledela

Answer:

The answer is B.

Step-by-step explanation:

Let us go through each of the points one by one:

The label A represents the radius of the base of the cone.

The label B represents the height of the cone.

The label C represents the origin of the base of the cone.

The label D represents the vertex of the cone (where the cone ends).

So it is choice B that represents the height of the cone.

P.S: it is tempting to pick label D to represent the height, but since label A already points to a line that is the height of the cone, we don't pick Label D.

4 0

2 years ago

Read 2 more answers