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3 years ago

Algebra isn’t my best subject, please help

Mathematics

1 answer:

kogti [31]3 years ago

8 0

The Distributive property states that when we have the statement a(b + c), we can "distribute" the a by multiplying a times both terms that are inside the parenthses.

So in this problem, 2(5 + 7) can be simplified by distributing the

2 through both terms that are inside the set of parenthses.

So we have (2 · 5) + (2 · 7).

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I do no understand this

vovangra [49]

The equation of a line for the given slope is $y=\frac{1}{2} x+1$ .

Solution:

Given data:

Slope (m) = $\frac{1}{2}$

Point = (–2, 0)

$x_1=-2, y_1=0$

To find the equation of the given line in the point-slope form:

<u>Point-slope formula:</u>

$y-y_1=m(x-x_1)$

Substitute the given values in the formula.

$$y-0=\frac{1}{2} (x-(-2))$

$$y=\frac{1}{2} (x+2)$

$$y=\frac{1}{2} x+\frac{2}{2}$

$$y=\frac{1}{2} x+1$

The equation of a line for the given slope is $y=\frac{1}{2} x+1$ .

5 0

3 years ago

Find thhe remainder when 7^203 is divided by 4

Aleksandr [31]

Using the square-and-multiply approach, we have

$7^{203}=7\times(7^{101})^2$
$7^{101}=7\times(7^{50})^2$
$7^{50}=(7^{25})^2$
$7^{25}=7\times(7^{12})^2$
$7^{12}=(7^6)^2$
$7^6=(7^3)^2$
$7^3=7\times7^2$

and so, using the property that, if $a_1\equiv b_1\mod n$ and $a_2\equiv b_2\mod n$ , then $a_1a_2\equiv b_1b_2\mod n$ , we get

$7\equiv3\mod4$
$7^2\equiv9\equiv1\mod4$
$7^3\equiv7\times1\equiv7\equiv3\mod4$
$7^6\equiv9\equiv1\mod4$
$7^{12}\equiv1\mod4$
$7^{25}\equiv7\times1\equiv7\equiv3\mod4$
$7^{50}\equiv9\equiv1\mod4$
$7^{101}\equiv7\times1\equiv7\equiv3\mod4$
$7^{203}\equiv7\times9\equiv3\times1\equiv3\mod4$

4 0

3 years ago

What is x^2 + y^2 - 4x + 12y -20= 0 factored

andrew11 [14]

<span>Simplifying
4x2 + 8xy + 4y2

Reorder the terms:
8xy + 4x2 + 4y2

Factor out the Greatest Common Factor (GCF), '4'.
4(2xy + x2 + y2)

Factor a trinomial.
4((x + y)(x + y))

Final result:
4(x + y)(x + y)</span>

4 0

3 years ago

The base and height of a right triangle are 20 inches and 15 inches. Find the length of the hypotenuse.

Karolina [17]

Using the Pythagorean theorem:

Hypotenuse = sqrt( 20^2 + 15^2)

Hypotenuse = sqrt( 400 + 225)

Hypotenuse = sqrt(625)

Hypotenuse = 25

Answer: 25 inches

8 0

3 years ago