Is Figure B a scale copy of Figure A? Choose 1 answer: (Choice A) Yes (Choice B) No

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Explanation:

Rearrange the first equation into [tex]-x^2+y^2 = 16[/tex]

So we have this equivalent system

[tex]\begin{cases}-x^2+y^2 = 16\\\\x^2-y^2=16\end{cases}[/tex]

If you add the terms straight down, then you'll find that the x^2 and y^2 terms add to 0. The right hand side terms add to 16+16 = 32

We are left with the equation 0 = 32, which is a false equation or contradiction. Therefore, there are no solutions. We say the system is inconsistent. The two graphs do not intersect at all as shown in the diagram below. We have two hyperbolas in which the branches extend off to infinity to slowly approach the asymptotes. They never actually get to the asymptotes, but only get closer.

Answer:

First choice

Step-by-step explanation:

Sum of fractions:

-7/10 + 4/10= - 3/10

the interval required on the line from the left of - 7/10 to the right of -3/10

Which number line would be best to find this sum?

-8/10 to 0

yes, this is good as covers the interval from -7/10 to - 3/10

-3/10 to 3/10

no, it doesn't include the left half of required section

4/10 to 11/10

no, it doesn't include the required interval

0 to 15/10

no, it doesn't include the required interval

Answer:

A

Step-by-step explanation:

Answer:

0 = x, y = 2.

Or x = 2 and y = 1.

Step-by-step explanation:

≤ means less than or equal to.

Answer:

Step-by-step explanation:

Answer:

Plato

Step-by-step explanation:

rectangle

pentagon

pentagon

pentagon, hexagon ,heptagon

pentagon, quadrilateral, or triangle

Answer:

x = 15

Step-by-step explanation:

Using Pythagorean Theorem

=> [tex]c^2 = a^2+b^2[/tex]

Where c= x, a = 12, b = 9

=> [tex]x^2 = (12)^2+(9)^2[/tex]

=> [tex]x^2 = 144+81[/tex]

=> [tex]x^2 = 225[/tex]

Taking sqrt on both sides

=> x = 15

Answer:

x < -16/3 or x > 4

Step-by-step explanation:

This is split into two inequalities: 3x + 2 > 14 and -(3x + 2) > 14.

3x + 2 > 14

3x > 12

x > 4

-(3x + 2) > 14

3x + 2 < -14

3x < -16

x < -16/3

Answer:

[tex]x > 4[/tex]

Step-by-step explanation:

Move the constant to the right-hand and change its sign:

[tex]3x > 14 - 2[/tex]

Subtract the number:

[tex]3x > 12[/tex]

Divide both sides of the inequality by 3:

[tex]3 \div 12 = 4[/tex]

Therefore, the answer will be x > 4.

Answer:

see explanation

Step-by-step explanation:

Given

2BD = 7BT , then

2(d - b ) = 7(t - b) ← distribute both sides

2d - 2b = 7t - 7b ( add 7b to both sides )

2d + 5b = 7t, thus

2[tex]\left[\begin{array}{ccc}10.5\\10\\\end{array}\right][/tex] + 5[tex]\left[\begin{array}{ccc}0\\3\\\end{array}\right][/tex] = 7t

[tex]\left[\begin{array}{ccc}21\\20\\\end{array}\right][/tex] + [tex]\left[\begin{array}{ccc}0\\15\\\end{array}\right][/tex] = 7t

[tex]\left[\begin{array}{ccc}21\\35\\\end{array}\right][/tex] = 7t , thus

t = [tex]\frac{1}{7}[/tex][tex]\left[\begin{array}{ccc}21\\35\\\end{array}\right][/tex] = [tex]\left[\begin{array}{ccc}3\\5\\\end{array}\right][/tex]

Hence T = (3, 5 )

Answer:

Please see the attached pictures for the full solution.

We reject x= -3 since x has to be between x=0 and x=10.5 since T lies on line BD.

We reject y= 1 since the y value has to be between 3 and 10 for T to lie on line BD.

Useful formula:

gradient=(y1-y2)/(x1-x2)

Further explanation:

1st picture, from line 12 to 13: cross multiply

line 14: expand

line 15: bring 9 over (or +9 on both sides)

line 16: ÷3 throughout

last picture: we have to show '(reject)' because whenever we introduce a square root, there must be a '±' sign.

Answer: 1.05x

Step-by-step explanation:

From the question, we are informed to translate into an algebraic expressions: x is increased by 50% and decreased by 30%. This will be calculated thus:

Firstly, we'll increase x by 50%.

= x + (50% of x)

= x + (0.5 × x)

= x + 0.5x

= 1.5x

Then, we'll decrease 1.5x by 30%. This will be:

= 1.5x - (30% × 1.5x)

= 1.5x - (0.3 × 1.5x)

= 1.5x - 0.45x

= 1.05x

The answer is 1.05x.

Answer:

1.05x

Step-by-step explanation:

Answer:

False

Step-by-step explanation:

Just trust me on this

Answer:

The correct answer is False

Step-by-step explanation:

Answer:

1529.4 m^3

Step-by-step explanation:

We will use the formula V = 1/3*h*B for the volume of the pyramid, where V is volume, h is height, and B is are of the base.

First, since we know h and are looking for V, we need B. To find this, since it has a square base, we multiply b, the base length, by itself. 15.3m * 15.3m = 234.09m^2.

Next, we plug into the formula.

V = 1/3*19.6m*234.09m^2

And simplify:

V= 1/3 * 4,588.164m^3

V= 15.29.3879....

Last, round to the tenth

1529.4 m^3

Answer: 1529.4

Step-by-step explanation:

Answer:

The third and fourth options.

Step-by-step explanation:

You simplify the inequality first...

-6x + 15 < 10 - 5x

-x < -5

x > 5

The first option is incorrect since it is less than.

The second option is basically -5x < 15; x > -3; that's incorrect.

The third option is basically -x < -5; x > 5; that is correct!

The fourth option is correct since it shows more than 5.

The fifth option is incorrect because it shows less than -5.

Hope this helps!

Answer: The answer is C and E

Step-by-step explanation:

Hope this helps;)

Answer:

[tex]\frac{r^{15}}{512}[/tex]

Step-by-step explanation:

Given

[tex](8r^{-5})^{-3}[/tex]

Required

Simplify

This can be simplified using the following law of indices;

[tex](ab)^n = a^{n}b^{n}[/tex]

The equation becomes

[tex](8^{-3})(r^{-5})^{-3}[/tex]

Express [tex]8^{-3}[/tex] as a fraction

[tex](\frac{1}{8^{3}})(r^{-5})^{-3}[/tex]

Simplify [tex]8^3[/tex]

[tex](\frac{1}{8*8*8})(r^{-5})^{-3}[/tex]

[tex](\frac{1}{512})(r^{-5})^{-3}[/tex]

The expression can further be simplified using the following law of indices;

[tex](a^m)^n = a^{mn}[/tex]

[tex](\frac{1}{512})(r^{-5})^{-3}[/tex] becomes

[tex](\frac{1}{512})(r^{-5*-3})[/tex]

[tex](\frac{1}{512})(r^{15})[/tex]

[tex]\frac{r^{15}}{512}[/tex]

Hence, the solution to [tex](8r^{-5})^{-3}[/tex] is [tex]\frac{r^{15}}{512}[/tex]

Answer:

D

Step-by-step explanation:

Answer: 39 Pennies

Step-by-step explanation: You can think about this question as a multiplication problem. When you look at the pattern of the the other days you notice that they are all mulitples of 3. So when you want to find the number of pennies on the 13th day. You can do 3*13 = 39.

Answer:

10 crows and 5 ground hogs

Step-by-step explanation:

10 ×2 is 20 because crows have 2 legs then we do 5×4 which is 20 because ground hogs have 4 legs 10 +5 equals 15 because each animal has one head

Answer:

C

Step-by-step explanation:

Answer:

V =2197 ft^3

Step-by-step explanation:

The volume of a cube is given by

V = s^3 where s is the length of a side

V = 13^3

V =2197 ft^3

Answer:

Volume = 2197ft³

Answer:

f(x - n) - shift the graph n units right

f(x + n) - shift the graph n units left

f(x) - n - shift the graph n units down

f(x) + n - shift the graph n units up ----------------------------------------------------------------------------

Answer: shift the graph of y = 2(3)ˣ one unit right and four units up.

Answer:

A number line is used in the mathematical positioning of real numbers that include the numbers from positive infinity to negative infinity. This includes rational, irrational, fractions, and whole numbers. In this case, we are given with an expression that we have to reduce to lowest terms: negative seven and one over two and +1. The first one is equal to -7.5 while the other one is equal to +1. Positive numbers lie on the right side of zero (center of the line) while negative numbers lie on the left on the other hand. -7.5 lies between -8 and -7 while +1 lies exactly between 0 and 2. Both of which are positive numbers

I hope that is what your asking...

Answer:

On which number line do the points represent negative seven and one over two and +1? The Number line from negative 10 to positive 10 in increments of 1 is shown. Only the whole numbers are labeled. A point labeled R is placed in between the 7th and 8th tick marks to the left of 0. A point labeled T is placed in between the 6th and 7th tick marks to the left of 0. The Number line from negative 10 to positive 10 in increments of 1 is shown. Only the whole numbers are labeled. A point labeled R is placed in between the 7th and 8th tick marks to the left of 0. A point labeled T is placed on the 1st tick mark to the right of 0 Number line from negative 10 to positive 10 in increments of 1 is shown. Only the whole numbers are labeled. A point labeled R is placed on the 1st tick mark to the left of 0. A point labeled T is placed in between the 7th and 8th tick marks to the right of 0. The Number line from negative 10 to positive 10 in increments of 1 is shown. Only the whole numbers are labeled. A point labeled R is placed on the 1st tick mark to the left of 0. A point labeled T is placed between the 6th and 7th tick marks to the right of

Step-by-step explanation:

Answer:

11,8,5

Step-by-step explanation:

an=11-3(n-1)

Let n=1

a1 = 11 - 3(1-1)

    = 11 -0

    =11

Let n=2

a2 = 11-3(2-1)

     = 11 -3(1)

     = 8

Let n=3

a3 = 11-3(3-1)

    = 11 -3(2)

    = 11 -6

    =5

Answer:

The answer is 11,8,5

Step-by-step explanation:

that's the correct answer

Answer:

the second description and and expression is correct

Step-by-step explanation:

the first one is wrong because it says 7 minus while it should be minus 7

nine times the difference of a number cubed and three; 9(n³-3)

Paired data in statistics, often referred to the ordered pairs, refers to 2 variables in the individuals of the population that are linked together in the order to determine correlation between them.

Given :

7 less than the quotient of two and a number squared increased by six

7 -  (2/n²)  + 6

9 times the difference of a number cubed and three; 9(n³-3)

8 more than the quotient of a number squared and four, decreased by seven; 8 + (4 /n²) - 7

twice the difference of a number cubed and eight;  2 n³- 8

To Find: Which description is paired with its correct expression

Solution:

7 less than the quotient of two and a number squared increased by six

7 -  (2/n²)  + 6

Correct Expression is   -7 + (2/n²)  + 6  

nine times the difference of a number cubed and three; 9(n³-3)

Expression is Correct

8 more than the quotient of a number squared and four, decreased by seven; 8 + (4 /n²) - 7

Correct Expression is  8 + (n²/4) - 7

twice the difference of a number cubed and eight;  2 n³- 8

The correct expression is 2( n³- 8)

Hence the correct answer is :

nine times the difference of a number cubed and three; 9(n³-3)

Statistics is a mathematical body of the science that pertains by the collection or analysis, or interpretation and explanation, or presentation of data, and as a branch of mathematics. Some consider statistics to be the distinct mathematical science rather than a branch of mathematics.

Learn more about Statistics here https://brainly.com/question/27342429

#SPJ2

Answer:

Step-by-step explanation:

(2,6)

Answer:

The solution of the two equations is where both lines intersect

From the graph they intersect at point

(6,2)

So the solution is x = 6 y = 2

Hope this helps you

Answer:

The answer is option B.

y = 1/8x² + 5

Hope this helps you

the link is not working :(

Answer:

Step-by-step explanation:

-b -b +5

= -2b + 5

Answer:

1/3 < 2/3

Step-by-step explanation:

1/3 compared to 4/6

Simplify 4/6 by dividing the top and bottom by 2

4/5 = 2/3

Since the denominators are the same we compare the numerators

1/3 < 2/3

Answer:

y = -7/4x + 61/4

Step-by-step explanation:

Step 1: Write equation in slope-intercept form

-7y = 9 - 4x

y = 4/7x - 9/7

Step 2: Find slope of perpendicular line

Take the negative reciprocal of the 1st equation

m = -7/4

Step 3: Write out known variables

y = -7/4x + b

Step 4: Find b

3 = -7/4(7) + b

3 = -49/4 + b

b = 61/4

Step 4: Rewrite equation

y = -7/4x + 61/4

Answer:

Find GCF of all values in the given ratio

GCF(100, 199, 47) = 1

When GCF value is equal to 1, the given ratio can not be simplified.

Step-by-step explanation:

It cant be simplified

Answer:

100:199:47

Step-by-step explanation:

The ratio cannot be simplified.

The numbers 199 and 47 are prime numbers, and only have the factors of 1 and themselves.

Answer:

(1) N or n = 20

(2) [tex]\bar X \text{ or } \mu[/tex] = 43.4

(3) σ = 9.78 and s = 10.04.

Step-by-step explanation:

We are given with the following data set below;

{51, 48, 42, 43, 48, 48, 46, 15, 29, 45, 47, 55, 46, 35, 47, 48, 54, 26, 53, 42}

(1) As we can see in the above data that there are 20 data values in our data set which means that the value of N or n (numner of observations) is 20.

(2) The formula for calculating Mean of the data, i.e. [tex]\bar X \text{ or } \mu[/tex] is given by;

        Mean  =  [tex]\frac{\sum X}{n}[/tex]

              =  [tex]\frac{51 +48+ 42+ 43+48+48+ 46+ 15+ 29+ 45+ 47+ 55+ 46+ 35+ 47+ 48+ 54+ 26+ 53+ 42}{20}[/tex]

              =  [tex]\frac{868}{20}[/tex]  = 43.4

So, the value of [tex]\bar X \text{ or } \mu[/tex] is 43.4.

(3) The formula for calculating population standard deviation ([tex]\sigma[/tex]) is given by;

        Standard deviation, [tex]\sigma[/tex] =  [tex]\sqrt{\frac{\sum (X - \bar X)^{2} }{N} }[/tex]

             =  [tex]\sqrt{\frac{(51-43.4)^{2}+(48-43.4)^{2}+.......+(42-43.4)^{2} }{20} }[/tex]

             =  9.78

Similarly, the formula for calculating sample standard deviation (s) is given by;

        Sample Standard deviation, s =  [tex]\sqrt{\frac{\sum (X - \bar X)^{2} }{n-1} }[/tex]

             =  [tex]\sqrt{\frac{(51-43.4)^{2}+(48-43.4)^{2}+.......+(42-43.4)^{2} }{20-1} }[/tex]

             =  10.04