1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
rjkz [21]
3 years ago
6

Factor 7w2−175.(1 point) −7(w−25) 7(w−25) 7(w−5)(w+5) 7(w−5)(w−5)

Mathematics
1 answer:
Nutka1998 [239]3 years ago
6 0

Answer:

7(w + 5)(w -5)

Step-by-step explanation:

a² - b² = (a + b)(a - b)

7w² - 175 = 7w² - 7*25

              = 7(w² - 25)

              = 7(w² - 5²)

              = 7(w + 5)(w -5)

You might be interested in
Which properties are used to simplify 4/5y+3(2/5x+7/5y) to 5y+6/5x
SSSSS [86.1K]
4/5y + 3(2/5x + 7/5y)...distribute thru the parenthesis
4/5y + 6/5x + 21/5y ...combine like terms
25/5y + 6/5x.....reduce
5y + 6/5x
8 0
2 years ago
What is the radius and diameter of the following circle
son4ous [18]
Radius is 11cm
diameter is 22cm
7 0
3 years ago
Inequalities? the product of 11 and a number is less than 53 i'm confused on how to write it out
nordsb [41]
Ok, so we know that the product of means something added, and we are given that eleven and a number are less than 53. So the equation is 11+X<53.
3 0
3 years ago
What is the area of the shaded region in the figure below ? Leave answer in terms of pi and in simplest radical form
ser-zykov [4K]

Answer:

Step-by-step explanation:

That shaded area is called a segment. To find the area of a segment within a circle, you first have to find the area of the pizza-shaped portion (called the sector), then subtract from it the area of the triangle (the sector without the shaded area forms a triangle as you can see). This difference will be the area of the segment.

The formula for the area of a sector of a circle is:

A_s=\frac{\theta}{360}*\pi r^2 where our theta is the central angle of the circle (60 degrees) and r is the radius (the square root of 3).

Filling in:

A_s=\frac{60}{360}*\pi (\sqrt{3})^2 which simplifies a bit to

A_s=\frac{1}{6}*\pi(3) which simplifies a bit further to

A_s=\frac{1}{2}\pi which of course is the same as

A_s=\frac{\pi}{2}

Now for tricky part...the area of the triangle.

We see that the central angle is 60 degrees. We also know, by the definition of a radius of a circle, that 2 of the sides of the triangle (formed by 2 radii of the circle) measure √3. If we pull that triangle out and set it to the side to work on it with the central angle at the top, we have an equilateral triangle. This is because of the Isosceles Triangle Theorem that says that if 2 sides of a triangle are congruent then the angles opposite those sides are also congruent. If the vertex angle (the angle at the top) is 60, then by the Triangle Angle-Sum theorem,

180 - 60 = 120, AND since the 2 other angles in the triangle are congruent by the Isosceles Triangle Theorem, they have to split that 120 evenly in order to be congruent. 120 / 2 = 60. This is a 60-60-60 triangle.

If we take that extracted equilateral triangle and split it straight down the middle from the vertex angle, we get a right triangle with the vertex angle half of what it was. It was 60, now it's 30. The base angles are now 90 and 60. The hypotenuse of this right triangle is the same as the radius of the circle, and the base of this right triangle is \frac{\sqrt{3} }{2}. Remember that when we split that 60-60-60 triangle down the center we split the vertex angle in half but we also split the base in half.

Using Pythagorean's Theorem we can find the height of the triangle to fill in the area formula for a triangle which is

A=\frac{1}{2}bh. There are other triangle area formulas but this is the only one that gives us the correct notation of the area so it matches one of your choices.

Finding the height value using Pythagorean's Theorem:

(\sqrt{3})^2=h^2+(\frac{\sqrt{3} }{2})^2 which simplifies to

3=h^2+\frac{3}{4} and

3-\frac{3}{4}=h^2 and

\frac{12}{4} -\frac{3}{4} =h^2 and

\frac{9}{4} =h^2

Taking the square root of both the 9 and the 4 (which are both perfect squares, thankfully!), we get that the height is 3/2. Now we can finally fill in the area formula for the triangle!

A=\frac{1}{2}(\sqrt{3})(\frac{3}{2}) which simplifies to

A=\frac{3\sqrt{3} }{4}

Therefore, the area in terms of pi for that little segment is

A_{seg}=\frac{\pi}{2}-\frac{3\sqrt{3} }{4}, choice A.

8 0
3 years ago
What is a factor of 15xy-45x-6y+18?<br><br> A. Y-2<br> B. 5x-3<br> C. 5x-2<br> D. Y-6
AfilCa [17]
Factor the following:
15 x y - 45 x - 6 y + 18
Factor 3 out of 15 x y - 45 x - 6 y + 18:
3 (5 x y - 15 x - 2 y + 6)
Factor terms by grouping. 5 x y - 15 x - 2 y + 6 = (5 x y - 2 y) + (6 - 15 x) = y (5 x - 2) - 3 (5 x - 2):
3 y (5 x - 2) - 3 (5 x - 2)
Factor 5 x - 2 from y (5 x - 2) - 3 (5 x - 2):
Answer:  3 (5 x - 2) (y - 3)
8 0
2 years ago
Other questions:
  • What is the x-intercept of the line with this equation −2x 12y=18 enter your answer in the box. (?, 0)
    15·2 answers
  • Vertical Compression of 1/3, right 2!!!
    7·1 answer
  • Which is the graph of f 52
    11·1 answer
  • Are rectangles ABCD and WXYZ congruent? Why or why not? Yes, all right angles were preserved. Yes, both rectangles have an area
    14·2 answers
  • Find mode of following
    9·1 answer
  • Which equation represents a proportional relationship? I need the answer for BOTH questions.
    12·1 answer
  • Coral bought some stock at $25 a share the stock increased to 1 1/2 Times its value how much is that stock per-share
    15·1 answer
  • Find the measure of the angle(s).
    5·2 answers
  • The measures of the angles of a triangle are shown in the figure below. Solve for x.
    11·1 answer
  • The diagram shows squares 1 2 and 3
    13·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!