Choose all that apply!!!

The length of a rectangle is 59 inches greater than twice the width. If the diagonal is 2 inches more than the length, find the

Paul [167]

So.. hmm notice the picture here

we know the length is 59 more than twice the width,
twice the width, 2 * w, or 2w
59 more than that
2w + 59

we also know that, whatever that is, the diagonal of it is,
2 more inches than that, or
(2w + 59) + 2

now.. use the pythagorean theorem
$\bf c^2=a^2+b^2\implies \qquad 
\begin{cases}
a=2w+59\\
b=w\\
c=(2w+59)+2\to 2w+61
\end{cases}
\\\\\\
(2w+61)^2=(2w+59)^2+(w)^2
\\ \qquad\qquad \uparrow\qquad \qquad\qquad \qquad \uparrow \\
\textit{expand using binomial theorem, or FOIL}$

you'd end up with a quadratic, after simplifying, solve for "w"

7 0

3 years ago

P(-6,5); y= 2x - 3what is the equation of the perpendicular line that contains line p?

slega [8]

Perpendicular line : m × m1 = -1

from y =2x-3 , m=2

m1•2 = -1
m1 = -1/2

substitute P in --> y= mx +c
5 = -1/2 (-6) + c
5-3 = c
c = 2

y = -1/2x - 1

4 0

3 years ago

We want to find the zeros of this polynomial:

fredd [130]

Answer:

x = -3 and x = -3/2

Step-by-step explanation:

After writing down the polynomial, split it; put a line between 3x^2 and -18x. Look and 2x^3 + 3x^2 and -18x - 27 separately and factor them both:

p(x) = 2x^3 + 3x^2 <u>- 18x -27</u>

p(x) = x^2(2x+3) <u>-9(2x+3)</u>

Now notice how x^2 and -9 have the same factor (2x+3). That means x^2 and -9 can go together:

p(x) = (x^2 - 9)(2x+3)

Factor it once more because there's a difference of squares:

p(x) = (x+3)(x-3)(2x+3)

Now just plug in whatever makes the each bracket equal 0:

x = -3, x = 3, and x = -3/2

Those are your zeros.

8 0

3 years ago

Plz solve this. with expalnations 20 points

yanalaym [24]

Step-by-step explanation:

length of half circumference EFG=15

BC=8

the perimeter=57

the are=35square

4 0

3 years ago

Which answers are examples of the Law of Detachment? select all that occur If two angles are vertical angles, then they have the

Lina20 [59]

The law of detachment is a set of three sentences, such that:

Sentence 1 is a statement of the form If p, then q

Sentence 2 is a statement of the form p

Sentence 3 is a conclusion of the form q

Let's see which of the options follow the pattern indicated above:

Option A: If an object is a square, it is a parallelogram. The object is a square. The object is a parallelogram. - MATCHES THE ABOVE PATTERN. Hence, is an example of the Law of Detachment.

Option B: If two angles are linear pairs, the angles are supplementary. The two angles are linear pairs. Therefore, the angles are supplementary. - DOES NOT MATCH THE ABOVE PATTERN.

Option C: If it is snowing, the play will be cancelled. If the play is cancelled, the theater will refund the cost of admission. Therefore, if it is snowing, the theater will refund the cost of admission to the play. - DOES NOT MATCH THE ABOVE PATTERN.

Option D: If it is snowing, the play will be cancelled. It is snowing. Therefore, the play is cancelled. - MATCHES THE ABOVE PATTERN. Hence, is an example of the Law of Detachment.

Hence, option A and option D are examples of the Law of Detachment.

3 0

3 years ago

Read 2 more answers