Which is NOT an undefined term in geometry?

A) axis

B) line

C) plane

D) point

Answer:

B. y² – 5y = 750

C. 750 – y(y – 5) = 0

E. (y + 25)(y – 30) = 0

I'm assuming the 2 in the second option is supposed to be an exponent.

Step-by-step explanation:

Length = y

Width = y-5

Length × Width = Area

Area = y(y-5) = 750

Distribute.

y²-5y=750 (B is correct)

If you factor the equation above

(y + 25)(y – 30) = 0 (E is correct)

Area = y(y-5) = 750

Subtract y(y-5) from both sides.

750-y(y-5) = 0 (C is correct)

Answer:

x=-3; x=4

Step-by-step explanation:

first, you should bring 12 to the other side, so subtract both sides by 12.

it would look like this:

x^2 - x - 12 = 0

next, you want to factor it out.

it would become

(x+3)(x-4) = 0

then, you can remove the parenthesis and create two separate equations:

x+3 = 0 ; x-4 = 0

then solve for x for both equations.

x=-3; x=4

hope this helped!! lmk if you have any questions about my work.

Answer:

A

Step-by-step explanation:

Divide them both by 2 an you get 5 and 2. Since the question says girls to boys then you out the girls first. so 5:2

Answer:

hope this helps

Step-by-step explanation:

y=1/3x-2 is the slope form of -5x+15y=-30.

a line is an infinitely long object with no width, depth, or curvature.

The given equation is -5x+15y=-30

minus five x plus fifteen y equal to minus thirty.

The standard form or slope form of a line is

y=mx+c

Where m is the slope and c is y intercept.

We need to convert  -5x+15y=-30 to standard form or slope intercept form of a line.

-5x+15y=-30

15y=-30+5x

15y=5x-30

Divide both sides by 15

y=5/15 x-30/15

y=1/3x-2

Hence y=1/3x-2 is the slope form of -5x+15y=-30.

To learn more on straight line click:

https://brainly.com/question/20492082

#SPJ2

Answer:

1 1/2

Step-by-step explanation:

The radius of the semicircle protractor is approximately 4.693 cm.

Given,Perimeter of a semicircle protractor = 14.8 cm.

To find:The radius of a semicircle protractor.Solution:We know that the perimeter of a semicircle protractor is the sum of the straight edge of a protractor and half of the circumference of the circle whose radius is the radius of the protractor.

Circumference of a circle = 2πrWhere, r is the radius of the circle.If the radius of the semicircle protractor is r, then Perimeter of a semicircle protractor = r + πr [∵ half of the circumference of a circle =\((1/2) × 2πr = πr]14.8 = r + πr14.8 = r(1 + π) r = 14.8 / (1 + π)r ≈ 4.693\) cm.

for more questions on semicircle protractor

https://brainly.com/question/30188078

#SPJ8

Answer:

1\(\frac{4}{15}\) of straw

Step-by-step explanation:

The total amount of straw and hay together is, \(4 \frac{2}{3}\).

and the total amount of hay alone is, \(3\frac{2}{5}\)

All you need to do is subtract the hay from the total, which gives you, the answer above.

Answer:

x = -36

Step-by-step explanation:

Answer:

  x = 31.2

Step-by-step explanation:

You want the solution to the proportion 12/x = 5/13.

You can eliminate the fractions by multiplying this equation by the least common denominator. That value is 13x, the product of these denominators. Multiplying by 13x, we have ...

  \(\dfrac{12}{x}\times13x=\dfrac{5}{13}\times13x\\\\\\12\cdot13=5\cdot x\qquad\text{simplified}\)

Now, the value of x is found by dividing both sides by its coefficient.

  \(\dfrac{12\cdot13}{5}=\dfrac{5x}{5}\\\\\\\dfrac{156}{5}=x\\\\\boxed{31.2=x}\)

__

Additional comment

The first step we did, multiplying by 13x, is also sometimes called "cross multiplication." The result of that step is that each numerator is multiplied by the opposite denominator.

Multiplying both sides of the equation by the same value (13x) is supported by the multiplication property of equality. The term "cross multiplication" is descriptive of the result, but is not a recognized property of equality. It is a good idea to keep the math operations you do grounded in the properties of equality.

You will notice that the steps we did were "multiply by 13x" and "divide by 5". These can be done at once by "multiply by 13x/5". Of course, that operation is done to both sides of the equation.

Any proportion can be written 4 ways:

  \(\dfrac{12}{x}=\dfrac{5}{13}\qquad\dfrac{x}{12}=\dfrac{13}{5}\qquad\dfrac{x}{13}=\dfrac{12}{5}\qquad\dfrac{13}{x}=\dfrac{5}{12}\)

These can be thought of as "upside down" and "sideways." We like the versions with the variable on top of a fraction, because the solution to that is simply multiplication by the variable's denominator.

<95141404393>

Answer:

Step-by-step explanation:

3.6*

It is very easy to find the perimeter of a square when its area is given in the question. For that, you only ned to know one fomula. That formula is: Area = side^2

For this particular question, the given value for the area of the square is 36 sq.cm. So, we can solve for the side(s) by substituting the given value in the above mentioned formula.

We get

36 = s^2

Now, we need to get the square root of both sides, which gives us

s = √36 s = 6 cm

Since all the sides of a square are equal in length, the side length is 6 cm. Now to determine the perimeter, we must multiply the side length by 4 (because there are 4 equal sides in a square). That gives us Perimeter = 4 x side length Perimeter = 4 x 6 cm.

Therefore, the perimeter of the square is 24 cm.

Check this out-

https://brainly.com/question/29192128?referrer=searchResults

Answer: 1, 2, and 4.

Step-by-step explanation: Each must be wider than the angle than a "L" has.

Given:

a series is given as (-2)¹ + (-2)² + (-2)³ + ... + (-2)¹⁰⁰​

Find:

we have to find the sum of the given series.

Explanation:

The given series is geometric series with first term a = (-2)¹ , common ratio (r) = -2.

The sum of the given geometric series is

Therefore, the sum of the given series is

Answer:

a) 17

b) 50

c) 9

Step-by-step explanation:

Subtitute x and y

Answer:

Step-by-step explanation:

hey there!

a) (3*5)+2=15+2

a=17

b)(2*5²)=25*2

b=50

c)(5-2)(5-2)

25-10-10+4

=25-20+4

c=9

Hope I got them right and hope I helped :)

Answer: A: (-3, -1) B: (4, -3)

Step-by-step explanation:

The Reflexive Property is a property of equality that states that anything is equal to itself. This property is true for numbers, shapes, angles, and more.

In the context of geometry, the Reflexive Property of Congruence states that any geometric figure is congruent to itself. This includes angles, segments, triangles, and other polygons.

So, when you see "<J ≅ <J", it's saying that angle J is congruent to angle J, which is an application of the Reflexive Property. In other words, any angle is congruent (equal in measure) to itself.

Answer:

\( \frac{17}{5} \)

I hope this helps you...

Answer:

C, D

Step-by-step explanation:

hope this helped :)

The longest side is side PQ which is correct option(C)

16m, 24m, 38m combination of measurements could form a triangle which is correct option(B)

Right triangle is defined as a triangle which one angle is a right angle or two sides are perpendicular.

In ΔPQR,

The largest angle ∠P = 15°

The smallest angle ∠Q = 41°

2nd largest angle ∠R = 124°

Side RQ is opposite of angle ∠P

Side PQ is opposite of angle ∠R

Side PR is opposite of angle ∠Q

The angles in order from longest to shortest :  ∠R > ∠Q > ∠P

The longest side is always opposite of the largest angle, and the smallest side is always opposite of the smallest angle.

Hence, the longest side = side PQ

A triangle can only be formed if the sum of any 2 side lengths adds up to be greater than the length of the other side.

The combination 16m, 24m, 38m is the only one where any 2 side lengths adds up to be greater than the other side

We can test this:

16 + 24 > 38

24 + 38 > 16

Learn more about triangle here:

brainly.com/question/6322314

#SPJ2

Answer: x-3/(x-3)(x+2) - 5/8x ➡️ 1/x+2 - 5/8x ➡️ 8x-5(x+2)/(x+2)(8x) ➡️ 3x-10/8x^2+16x

Just did this the other day...

The steps to simplify the expression (x - 3) / (x² - x - 5) - (5 / 8x) are,

Find the common denominator: LCM of (x² - x - 5) and 8x is 8x(x² - x - 5).

Rewrite the first fraction with the common denominator: [(x - 3)× 8x] / [8x(x² - x - 5)] - (5 / 8x).

Combine the fractions: [(8x² - 24x) - 5(x² - x - 5)] / [8x(x² - x - 5)].

Factor the denominator: 8x(x² - x - 5).

Simplify the expression: (8x² - 5x²) + (-24x + 5x) + 25 / [8x(x² - x - 5)].

Further simplify the numerator: 3x² - 19x + 25.

Final result: (3x² - 19x + 25) / [8x(x² - x - 5)].

To simplify the given difference of two expressions into one, simplified rational expression, follow these steps in the correct order:

Find a common denominator for the two fractions.

The common denominator for the fractions is the least common multiple (LCM) of the individual denominators, which are (x² - x - 5) and 8x. The LCM is 8x(x² - x - 5).

Rewrite the first fraction with the common denominator.

(x - 3) / (x² - x - 5) - (5 / 8x) = [(x - 3) × 8x] / [8x(x² - x - 5)] - (5 / 8x)

Combine the fractions by subtracting them.

= [(8x² - 24x) - 5(x² - x - 5)] / [8x(x² - x - 5)]

Factor the denominator of the resulting expression (if possible).

The denominator 8x(x² - x - 5) is already factored.

Simplify the expression, if possible.

= [8x² - 24x - 5x² + 5x + 25] / [8x(x² - x - 5)]

Combine like terms in the numerator.

= (8x² - 5x²) + (-24x + 5x) + 25 / [8x(x² - x - 5)]

Simplify the numerator further.

= 3x² - 19x + 25 / [8x(x² - x - 5)]

Therefore , the final simplified rational expression is equal to (3x² - 19x + 25) / [8x(x² - x - 5)].

learn more about expression here

brainly.com/question/34132400

#SPJ2

Answer:

yes

Step-by-step explanation:

1/2 is half of 1.

300 is 300 times greater than 1, so 300 is 600 times greater than 1/2.

Answer:

Yes, 300 is greater than 1/2

Answer:

S = 2π(3^2) + 2π(3)(8.2) = 67.2π = 211 cm^3

Answer:

y=4(12)x

Step-by-step explanation:

An exponential function is in the general form  

y=a(b)

Answer:

About 220 of the students scored less than 96

Step-by-step explanation:

Normal Probability Distribution:

Problems of normal distributions can be solved using the z-score formula.

In a set with mean \(\mu\) and standard deviation \(\sigma\), the z-score of a measure X is given by:

\(Z = \frac{X - \mu}{\sigma}\)

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the p-value, we get the probability that the value of the measure is greater than X.

Mean of 156 and a standard deviation of 23.

This means that \(\mu = 156, \sigma = 23\)

Proportion that scored less than 96:

p-value of Z when X = 96. So

\(Z = \frac{X - \mu}{\sigma}\)

\(Z = \frac{96 - 156}{23}\)

\(Z = -2.61\)

\(Z = -2.61\) has a p-value of 0.00453.

About how many of the students scored less than 96?

0.00453 out of 48592.

0.00453*48592 = 220.1.

Rounding to the closest integer:

About 220 of the students scored less than 96

Answer:

220

Step-by-step explanation:

#platolivesmatter

Answer:

  6 mm

Step-by-step explanation:

In the smaller figure, the short side is 4/28 = 1/7 the length of the long side. Since the figures are similar, the same will be true in the large figure:

  k = (1/7)(42 mm)

  k = 6 mm

The standard deviation is 0.89

The correct answer is an option (d)

We know that the formula for the standard deviation is:

\(\sigma=\sqrt{(x-\mu)^2\times P(x)}}\)

where x is the data value

P(x) is the expected value of x

μ is the mean expected value

x            P(x)             x.P(x)                    (x - μ)² . P(x)

1            4/10             4/10                          4/10

2            2/10             4/10                            0

3            4/10            12/10                          4/10

The mean value would be, 4/10 + 4/10 + 12/10 = 2

Using above formula, the standard deviation would be,

\(\sigma=\sqrt{(x-\mu)^2\times P(x)}}\)

σ = √(4/10 + 0 + 4/10)

σ = √(8/10)

σ = 0.89

Therefore, the correct answer is an option (d)

Learn more about the standard deviation here:

https://brainly.com/question/17196995

#SPJ1

Find the complete question below.

Answer:

x = 27 , ∠ EAF = 27°

Step-by-step explanation:

∠ GAF = 90° , then

∠ GAC + ∠ CAF = ∠ GAF , that is

x + 63 = 90 ( subtract 63 from both sides )

x = 27

∠ DAE = 90°

since CD is a straight angle of 180° , then

∠ CAE = 90° , so

∠ CAF + ∠ EAF = ∠ CAE , that is

63° + ∠ EAF = 90° ( subtract 63° from both sides )

∠ EAF = 27°

Answer:

(-1,5)

Step-by-step explanation:

Just took it. Edg 2020. Hope this helps :)

Answer:

its A  (-1,5)

Step-by-step explanation:

The cost per pound of rib steak is $2.40 and the cost per pound of hamburger meat is $1.25.

To find the cost per pound of each type of meat, we can set up a system of equations based on the given information.

Let's denote the cost per pound of rib steak as 'x' and the cost per pound of hamburger meat as 'y'.

From the first statement, we know that:

2x + 6y = 12.30 ---(Equation 1)

From the second statement, we know that:

3x + 2y = 9.70 ---(Equation 2)

Now we can solve this system of equations to find the values of 'x' and 'y'.

Multiplying Equation 1 by 3 and Equation 2 by 2 to eliminate the 'x' term, we get:

6x + 18y = 36.90 ---(Equation 3)

6x + 4y = 19.40 ---(Equation 4)

Subtracting Equation 4 from Equation 3, we get:

14y = 17.50

Dividing both sides by 14, we find:

y = 1.25

Substituting the value of 'y' back into Equation 1, we can solve for 'x':

2x + 6(1.25) = 12.30

2x + 7.50 = 12.30

2x = 4.80

x = 2.40

Therefore, the cost per pound of rib steak is $2.40 and the cost per pound of hamburger meat is $1.25.

for such more question on cost

https://brainly.com/question/8993267

#SPJ8

Answer:

NOM and POR

(so so sorry if it's wrong, I tried my best to help you but I had to look up an image of a angle like that but i hope you have a wonderful day, sorry again if i am wrong, i hope i help in a way, in i did not, sorry)

Answer:

12

Step-by-step explanation:

\(-4+2(8)=12\)