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3 years ago

What does 5(10a−2) equal

Mathematics

2 answers:

harina [27]3 years ago

8 0

Answer: 50a-10

Step-by-step explanation: It's the Distributive Property.

5 times 10a is 50a

5 times -2 is -10

50a-10

joja [24]3 years ago

3 0

Answer:

50a-10

Step-by-step explanation:

because 5 x 10a = 50a then 5 x -2 = -10 because a negative x positive = negative

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Find an equation of the parabola with focus (2, −3) and directrix y = 1.

Likurg_2 [28]

Answer:

Step-by-step explanation:

The correct option is option (C).

The required equation of the parabola is

Step-by-step explanation:

Formula:

The distance of a point (x₁,y₁) from a line ax+by+c=0 is

The distance between two points (x₁,y₁) and (x₂,y₂) is

Given that, the focus of the parabola is (2,3) and directrix y= - 1.

We know that, a parabola is the locus of points that equidistant from the directrix and the focus.

Let any point on the parabola be P(x,y) .

The distance of P from the directrix is

=y+1

The distance of the point P from the focus (2,3) is

According to the problem,

The required equation of the parabola is

5 0

3 years ago

Find the length of the leg x. enter the exact value, not a decimal approximation x1210x=

zzz [600]

We can solve for the value of x using pythagorean theorem

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

where c is the hypotenuse ( in this case is 15) and a, b are the other legs of the triangle ( in this case is 8 and x).

Let's substitute the given values to the formula

$\begin{gathered} c^2=a^2+b^2 \\ 15^2=8^2+x^2 \\ 225=64+x^2 \\ x^2=225-64 \\ x^2=161 \\ x=12.69 \end{gathered}$

Now please follow this solution to solve for x in:

3 0

1 year ago

Help needed please im stuck

defon

Answer:

a) b^3

b) x^3

Step-by-step explanation:

It can be helpful to think of the exponent as specifying the number of times the base is a factor in the product. Of course, common factors in the numerator and denominator cancel.

$\dfrac{b^7}{b^4}=\dfrac{b\cdot b\cdot b\cdot b\cdot b\cdot b\cdot b}{b\cdot b\cdot b\cdot b}=b\cdot b\cdot b=b^{7-4}=\boxed{b^3}$

$\dfrac{x\cdot x^5}{x^2\cdot x}=\dfrac{x\cdot x\cdot x\cdot x\cdot x\cdot x}{x\cdot x\cdot x}=x\cdot x\cdot x=x^{6-3}=\boxed{x^3}$

4 0

2 years ago

Which property of addition is shown in the equation below?

andrezito [222]

Answer:

i think its identity

Step-by-step explanation:

because ur adding zero

i might be wrong, i dont know

7 0

3 years ago

Read 2 more answers

A plane is flying at an altitude of 45,000 feet. It begins to drop in altitude 3,000 feet per minute. What is the slope in this

In-s [12.5K]

Answer: C which is -3,000

Step-by-step explanation:

3 0

2 years ago