What is the distance between (1, 9) and (1, -4)? Use the distance formula.

D=(x2-x1)2+(y2-y1)2

Answer:

6.52 x 10^3 is just basically 6.52 × 1000, which is 6520. But 652,000 ÷ 10^2 is just 652000 ÷ 100, which is 6520. That's why they have the same answer.

Answer:

A

Step-by-step explanation:

The inscribed angle IJK is half the measure of its intercepted arc, so

arc IK = 2 × 75° = 150°

The 3 arcs sum to  360° , then

arc IJ = 360° - (150 + 110)° = 360° - 260° = 100° → A

Answer:

216

Step-by-step explanation:

Volume of a rectangular prism = area of base * depth

Area of base: 72

Depth: 3

Volume = 72 * 3 = 216

Answer:

it uses 3,600 watts of electricity in 3 hours

Electricity used in 40 minutes = 800 watts

So, electricity used in 1 minute

= 800watts/40

= 20 watts

Electricity used in 3 hours

= electricity used in 180 minutes

= electricity used in 1 minute × 180

= 20 watts × 180

= 3600 watts

Answer:

[tex]\sqrt{\frac{150^2}{2}}=75\sqrt{2}\quad \left(\mathrm{Decimal:\quad }\:106.06601 \right)[/tex]

Step-by-step explanation:

[tex]a^{2} +b^{2} = 150^{2}[/tex]

a=b

[tex]2a^{2} = 150^{2}[/tex]

[tex]a =\sqrt{150^{2}/2 }[/tex]

Answer:

Step-by-step explanation:

We are using a top down view.  We have a square building with side length s.  The diagonal is 150 ft

Using the Pythagorean theorem

s^2 + s^2 = 150^2

2s^2 = 22500

s^2 =11250

Taking the square root of each side

sqrt(s^2) = sqrt(11250)

s = sqrt(6225*2)

s = 75 sqrt(2)

Answer:

2 1/2 miles = 1/6 hours 2 1/2 miles * 6 = 1/6 hours * 6 12 1/2 miles = 6/6 hours 12 1/2 miles = 1 hour 12 1/2 miles/hr

Answer:

[tex]\frac{\frac{5}{2} * 6 }{\frac{1}{6} * 6}[/tex] = [tex]\frac{\frac{30}{2} }{\frac{6}{6} }[/tex]

Step-by-step explanation:

Step-by-step explanation:

We must prove that

cos²a(csc²a-cot²a) = cos²a

If we look at both sides, we can see that we have cos²a * something = cos²a. Therefore, if we can get that something to equal 1, we have our proof. In this case, that something is csc²a-cot²a. Using this information, we can work from within the parenthesis and go from there.

We can start by expanding the items in the parenthesis. Taking that csc(x) = 1/sin(x) and cot(a) = cos(x)/sin(x), we can say that

cos²a(csc²a-cot²a) = cos²a(1/sin²a - cos²a/sin²a). Because both items in the parenthesis have a denominator of sin²a, we can subtract cos²a from 1 to get

cos²a(1/sin²a - cos²a/sin²a)= cos²a((1-cos²a)/sin²a))

Next, we know that cos²a+sin²a=1, so 1-cos²a = sin²a. Plugging that in, we get

cos²a((1-cos²a)/sin²a)) = cos²a(sin²a/sin²a)

= cos²a(1)

= cos²a

Answer:

169 sq cm

Step-by-step explanation:

Answer:

Step-by-step explanation:

[tex]Tan \ B =\frac{4}{3} = \frac{opposite \ side \ of B}{adjacent \ side \ of B}[/tex]

BC = 15 cm

3x = 15

x = 15/3 = 5

AB =4x = 4*5 = 20 cm

Pythagorean theorem,

AC² = AB² + BC²

       = 20²  + 15 ²

       = 400 + 225

       = 625

AC = √625 = 25 cm

AC = 25 cm

[tex]Sin \ A = \frac{opposite \ side \ of \ angle A }{hypotenuse}\\\\ = \frac{BC}{AB}=\frac{15}{25}=\frac{3}{5}[/tex]

Answer:

she bought 19/12 lengths of ribbon or aka 1 7/12

Step-by-step explanation:

3/4 + 1/3 + 1/2 = 13/12 + 1/2

13/12 +1/2 = 19/12

19/12 simplify is 1 7/12

Margo bought [tex]1\frac{2}{3}[/tex] yards of ribbon.

A fraction represents how much part of total quantity is present.Fractions are of two types proper fraction and improper fraction.

According to the question given Margo bought some ribbons of length    3/4 yd, 1/3 yd and 1/2 yd.

To find the total ribbon she bought in yards we have to take the sum of all the fractions.

∴ (3/4) + (1/3) + (1/2) yards.

Now to sum these fractions we have to take LCM of the denominators which is 12.

So, { (3×3) + (1×4) + (1×6) }/12.

= (9 + 4 + 6)/12.

= 19/12 or 1 whole 2/3 yards of ribbon.

learn more about fractions here :

https://brainly.com/question/8482939

#SPJ2

Answer:

$65.

Step-by-step explanation:

We know that he spent $65 and had no money left, which means that he started with $65.

Brainliest, please! (I'm trying to become an Ace :))

the answer is option b

(a) The IQR for the males' data is 12, because Q3 is at 15 and Q1 is at 3.

(b) The difference between the median values of each data set is 4 because 10-6 = 4

(c) For the males' data, the median would be a better measure of center, since the data is skewed right. For the females' data, the mean would be a better measure of center, because the data is pretty balanced (except for the outlier).

(d) Maybe a superhero movie had their opening night one day of this month, which would explain the outlier.

Answer:

1-10, -3, 2, 7

im sorry if i give a wrong answer

Answer:

Second option

Step-by-step explanation:

The cosine function is represented in the graph. that eliminates two options. The period of the function can be calculated by finding the value of b, and then the wavelength. This eliminates the first option, because the period in the graph is pi. 2nd option is correct

Answer:

y = -3x + 2

Step-by-step explanation:

y2 - y1 / x2 - x1

-1 - 8 / 1 - (-2)

-9/3

= -3

y = -3x + b

-1 = -3(1) + b

-1 = -3 + b

2 = b

Answer:

Option D, 13.2

Step-by-step explanation:

m = √{7×(18+7)}

= √(7×25)

= 5√7

= 13.2 (rounded to the nearest tenth)

Answer:

The correct choice is option B. quadratic trinomial

Step-by-step explanation:

The answer is in quadratic trinomial because a quadratic trinomial is an expression in the form of ax^2 + bx + c and this is exactly how our final solution looks like.

Answer:

[tex]4(6a + 2b^2) - 1/3 (27b^2 - 15a)[/tex]

a = -2

b = 3

[tex]4\left(6\left(-2\right)+2^2\right)-1/3\left(27\left(3\right)^2-15\left(-2\right)\right)[/tex]

Follow the PEMDAS order of operations:-

[tex]4\left(6\left(-2\right)+2^2\right)[/tex]

calculate within Parentheses

[tex]6\left(-2\right)+2^2[/tex]

[tex]2^{2} =4[/tex]

[tex]6(-2)=-12[/tex]

Add:-

[tex]-12+4=-8[/tex]

[tex]4\left(-8\right)-1/3\left(27\left(3\right)^2-15\left(-2\right)\right)[/tex]

calculate within Parentheses:-

[tex]27\left(3\right)^2-15\left(-2\right)[/tex]

[tex](3)^{2} =9[/tex]

[tex]27*9=243[/tex]

[tex]243-15\left(-2\right)[/tex]

[tex]15(-2)=-30[/tex]

[tex]243-\left(-30\right)[/tex]

[tex]=273[/tex]

[tex]4\left(-8\right)-1/3\cdot \:273[/tex]

Multiply:-

[tex]4\left(-8\right)=-32[/tex]

[tex]-32-1/3\cdot \:273[/tex]

[tex]1/3*273=91[/tex]

[tex]=-32-91[/tex]

[tex]=-123[/tex]

OAmalOHopeO

excuse me please

do u want full explanation

Answer:

E - (8,-9)

F - (9,-9)

G - (9,-4)

Step-by-step explanation:

The first number in the bracket relates to the x-axis

The second number relates to the y-axis

Answer:

Answer:

$46.50

Step-by-step explanation:

pls mark brainliest

Answer:

KL = 6

Step-by-step explanation:

IL = 26

IJ = 9

JK = 11

KL = ?

To find KL

Let KL be x

IJ + JK + KL = IL

9 + 11 + x = 26

20 + x = 26

transpose to find KL that is x

x = 26 - 20

x = 6

therefore KL = 6

Answer:

KL = 6

Step-by-step explanation:

First step is to create an equation

Given: IL = 26

This means that the sum of the segments that make up IL also equal 26

In other words, IJ + JK + KL = 26 ( note that this is the equation that we will use to solve for the missing segment )

Given: IJ = 9 , JK = 11 and KL = ?

To find the length of the missing segment we simply plug in the known segment lengths into the equation we created and solve for the unknown one.

Equation created: IJ + JK + KL = 26

Variables: IJ = 9 , JK = 11 and KL = ?

Plug in variables into equation

9 + 11 + KL = 26

Now solve for KL

Step 1 Combine like terms ( 9 + 11 = 20 )

20 + KL = 26

Step 2 Subtract 20 from both sides

20 - 20 + KL = 26 - 20

KL = 6

And we are done!

Given: Figure of a plane named Q with a normal [tex]\overleftrightarrow{BF}[/tex] at point B, containing two lines [tex]\overleftrightarrow{AC}[/tex] and [tex]\overleftrightarrow{DE}[/tex] that intersect at point B

To find:

A line is named using any two points lying on it. A plane, on the other hand is named using any three non-collinear points lying on it.

The logic behind this is that there is an unique line passing through any two points. So, any two points lying on a line is sufficient to name the line.

Similarly, an unique plane can be found that passes through any two lines. That is, any two lines lying on a plane is sufficient to name the plane. Since a line can be defined uniquely by two points, two lines can be defined uniquely by two points each, that is, four points. However, if we take a common point, that is, if we take the point of intersection of the two lines as one of our points, then we need at most three points to define a plane.

Note that, we have to take care that the three points be non-collinear, because if they are collinear, they can only give a single unique line which is not sufficient to uniquely give a plane. Indeed, infinite number of planes passes through a single line.

So, we name a line using two points lying on it and a plane using three non-collinear points lying on it.

Now, the line [tex]\overleftrightarrow{AB}[/tex] clearly passes through points A and B. As can be seen from the figure, it also passes through the point C. We name a line using any two points lying on the line.

So, another name for [tex]\overleftrightarrow{AB}[/tex] can be [tex]\overleftrightarrow{AC}[/tex].

The plane Q contains the points A, B, C, D and E of which the points A, B and C, and the points E, B and D are collinear. So, choosing two sets of three points each such that they are non-collinear, we can have points A, E and C, and the points C, D and B.

Equivalently, two other names for the plane Q can be AEC and CDB.

EBD is not an acceptable name for plane Q because the points E, B and D are collinear points, that is they lie on the same line.

So, we have found that another name for [tex]\overleftrightarrow{AB}[/tex] can be [tex]\overleftrightarrow{AC}[/tex], two other names for the plane Q can be AEC and CDB, and EBD is not an acceptable name for plane Q because the points E, B and D are collinear points.

Learn more about naming of lines and planes here:

https://brainly.com/question/1592203

Answer:

When you multiply radical expressions you multiply the numbers under the radical symbols.3–√×7–√=21−−√

When you add radical expression you CANNOT add the numbers under the radical symbols.

3–√+7–√≠10−−√

Step-by-step explanation:

Answer:

576xxxycm

Step-by-step explanation:

1cm×12x×x+48xy=576xxxycm

Answer:

16/25 or 64%

Step-by-step explanation:

In this problem we see that 64 out of the 100 students did better on the exams. So, to find the answer we must find the percentage form of 64 out of 100.

Step one:

what exactly is 64 out of 100? Well, in the math world when we see 'out of' we know that means 'divided by'. So, 64 out of 100 is 64/100.

Step two:

now we have to turn 64/100 into a percentage. We know that 1/100 is 1% so lets multiply 1 by 64. 64*1 = 64. This means that 64/100 = 64%.

I'm not 100% sure what form you need your answer in but if you need it in percentage for the answer is 64%. If you need your answer in a fraction form the answer would be 64/100 or 16/25 if we simplify the answer.

I hope this helps!!

Answer:

y = -3x - 5

Step-by-step explanation:

In order to form a parallel line, the two lines must have the same slope. Substitute the values into the point-slope formula to make the equation.

[tex]y-y_1=m(x-x_1)\\y-(-2)=-3(x-(-1))\\y+2=-3(x+1)\\y+2=-3x-3\\y=-3x-5[/tex]

Therefore, the equation is y = -3x - 5.

Answer:

Option A

Step-by-step explanation:

–x2 + 16 = 0

x2=16

x=root16

x=±4

Answer:

A. ±4

Step-by-step explanation:

-x² +16 = 0

x² - 16 = 0

x² = 16

x = ±√16

x = ±4

Answer: A ; ±4

The correct option is

(A)  ±4

Step-by-step explanation:  We are given to solve the following quadratic equation using the method of square roots :

In square root method, we should take x² term on one side and the constant the on other side of the equation Then, we should take the square roots.

From equation (i), we have

Thus, the required solution of the given equation is x =  ±4.

Option (A) is CORRECT.