M is the midpoint of RT. RS=6x+7 and ST=9x-8. find the length of RS and RT

Using translation concepts, the graph of h(x) = -3/x is given at the end of the answer. Compared to the parent function, it was vertically stretched by a factor of 3 and reflected over the x-axis.

A translation is represented by a change in the function graph, according to operations such as multiplication or sum/subtraction either in it’s definition or in it’s domain. Examples are shift left/right or bottom/up, vertical or horizontal stretching or compression, and reflections over the x-axis or the y-axis.

For this problem, the parent and translated functions are given, respectively, by:

The translations are described as follows:

The graph of h(x) is given at the end of the answer, containing points such as:

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Answer:

72 months

Step-by-step explanation:

6 x 12 = 72

The probability of selecting both defective gadgets out of 100 gadgets is 1/110, which is calculated using the basic concepts of probability theory.

What is a random experiment?

An experiment that is repeated several times and produces more than one possible outcome is called as the random experiment. It contains a well-defined set of values which constitutes a sample space. Eg: Rolling a die, tossing a coin etc.

Calculation of the probability of selecting both gadgets as defective

The total amount of gadgets = 100

Number of defective gadgets = 10

The probability of selecting a defective gadget is 10 / 100 or 1 / 10

Now, the total number of gadgets and defective gadgets are decreased by 1

So, the probability of selecting another gadget as defective is 9 / 99 or 1 / 11

P(E) = P(when two selected gadgets are defective) = 1 / 10 x 1 / 11

P(E) = 1 / 110

Hence, the probability of selecting both defective gadgets is 1/110.

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    a) Gas has a volume of 12 liters.

    b) 12 liters of oxygen gas will be consumed during the reaction.

Step-by-step explanation:

Moles of Substances:

We measure the quantity of atoms and molecules in moles, which is equal to 6.022 ×10²³, Avogadro's number, because they are too small to be counted or weighed individually. A substance's atomic mass is multiplied by Avogadro's number to get its mass in grams.

Here, Half a mole of carbon is equal to six grams of carbon. since 12 grams make up one mole of carbon. Since carbon dioxide has the chemical formula CO2, when a mole of carbon is fully combusted, it will result in the production of a mole of carbon dioxide gas.

a) Half a mole of gas has a volume of 12 liters because one mole of gas at RTP consumes 24 liters.

b) Due to the fact that each oxygen molecule contains two oxygen atoms and each carbon dioxide molecule contains two oxygen atoms, 12 liters of oxygen gas will be consumed during the reaction.

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The coordinates of the vertices of the new triangle are A'(-1,1) ,B'(-4,3), C'(-3,6)

Rotation means the circular movement over the object around the center.

Vertices of triangle = A(1,1) , B(3,4), C(6,3)

Triangle is rotated counterclockwise about the origin 90°.

Then

the new coordinates of triangle are A', B', C'

A(1,1) = A'(-1,1)

B(3,4) = B'(-4,3)

C(6,3) = C'(-3,6)

The coordinates of the vertices of the new triangle are A'(-1,1) ,B'(-4,3), C'(-3,6)

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Answer:12?

Step-by-step explanation:

A=L x W

Answer:

the total area is 20

Step-by-step explanation:

next time you can just count the boxes that's how I answer these types of questions.

Answer: $5 for each candy bar.

Step-by-step explanation: Sarah bought a drink for $4 so, $44-$4=$40(leftover), now she bought 8 candy bars for $40:8=$5 (each candy bar cost)

Answer:  The customer will pay 1.69$ for the mulch.

Step-by-step explanation:

7.30 = 1 Pound

0.3 = 3/10

3/10 x 7.30 or 3/10 of 7.30 = 2.19

2.19

2.19 = without coupon

1.69 = with coupon.

The total with 50 cents off is 1.69$.

The simplified form of the expression 8 + (-7)² - (7 × (-2) + 1 ) is 70.

Given the expression in the question;

8 + (-7)² - (7 × (-2) + 1 )

Simplify each term, raise -7 to the power 2

8 + (-7)² - (7 × (-2) + 1 )

8 + 49 - (7 × (-2) + 1 )

Multiply 7 by -2

8 + 49 - ( -14 + 1 )

Add -14 and 1

8 + 49 - ( -13)

Remove parenthesis by multiplying -1 by -13

8 + 49 + 13

Now, simplify by adding the number

8 + 49 + 13

57 + 13

70

Therefore, the simplified form of the expression 8 + (-7)² - (7 × (-2) + 1 ) is 70.

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Answer:

3 minutes

Step-by-step explanation:

there are many ways to answer this question you can on it later but im going to write the easiest here

4 plates is 2 minutes

find how many minutes for one plate and times it by 6

2 ÷ 4 = 1/2 minutes or 30 seconds

therefore;

1/2 × 6 = 3 minutes

please rate brainliest if helps

Hello,

[tex] \frac{8 {}^{5} }{8 {}^{ - 9} } = 8 {}^{5 - ( - 9)} = 8 {}^{5 + 9} = 8 {}^{14} [/tex]

3 Answers: Choice A, Choice B, Choice E

=========================================================

Explanation:

We have four copies of x in the original expression. So that accounts for the 4x. In other words, 4x = x+x+x+x. Multiplication is used for repeated addition.

Also, the other terms add to 15+5+15+5 = 20+20 = 40

Therefore, we end up with 4x+40 from choice A.

-----------------------------

Once we get to 4x+40, we can factor out 2 from it like so

4x+40

2*2x + 2*20

2(2x+20) which is choice B

I used the distributive property to factor. That rule is a(b+c) = ab + ac

-------------------------------

Choice C is not one of the answers. We can determine this fairly quickly by noting that the expression in choice C talks about a quadratic, but the original expression given to us is linear.

Choice D is a similar story to choice C.

--------------------------------

Choice E is another answer

This is because we have two copies of (x+15), so that gives 2(x+15)

We also have two copies of (x+5) to get 2(x+5)

Applying exponential properties, we have that the solution to the given expression is:

[tex]-\frac{125}{343}[/tex]

When a fraction is elevated to the exponent, we apply the exponent to both the numerator and the denominator.

In this problem, we have that:

Negative base with odd exponent, hence the solution is negative and given as follows:

[tex]-\frac{125}{343}[/tex]

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The length of the  Boca Grand Causeway is  126,000 feet

Multiplication is the continual addition of two or more numbers of equal sizes. The value gotten after multiplication is the product. Multiplication is one of the basic mathematical operations. The sign used to denote multiplication is x. Other basic mathematical operations include addition, subtraction and division.

Length of the Boca Grand Causeway = length of the golden gate bridge x 14

9,000 x 14 = 126,000 feet

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The total length will she need if she is planning on making four chairs is 42 inches.

It should be noted that the chair calls for six pieces that are 10 1/2" , therefore, the total length will she need if she is planning on making four chairs will be:

= 10 1/2 × 4

= 10.5 × 4

= 42 inches.

The total length is 42 inches.

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Complete question

laura obtained the plans to create a chair. the seat of the chair calls for six pieces that are 10 1/2". what total length will she need if she is planning on making four chairs?

Answer:

Below.

Step-by-step explanation:

a. True - it states that 4 is an element of Set P.

b False - 5 is an element of set Q .

   5 ∈ Q.

c. P ∩ Q = Ф True - This says that there are no common elements in P and Q   which is true.  Ф is the 'empty set'.

d. True: n(P) = 4 means there are 4 elements in P.

e. True: there are 4 elements in P and in S.

   S can be written as {3, 4, 5, 6} - that is the integers which are greater      than 2 and less than or equal to 6. The Z means the set of integers.

The slope-intercept equation of a line that passes through the points (-2,5) and (6,-4) is [tex]y=-\frac{9}{8}x+\frac{11}{4}[/tex]

We know that the slope-intercept form of the line is y =  mx + c, where m is the slope of the line and c is the y-intercept of the line.

For given question we have been given two points (-2,5) and (6,-4)

We need to find the slope-intercept equation of a line that passes through the points (-2,5) and (6,-4).

Using two-point form the equation of the line is,

[tex]\frac{y-y_1}{y_2-y_1}=\frac{x-x_1}{x_2-x_1}[/tex]

Let (x1, y1) = (-2,5) and (x2, y2) = (6,-4)

So, the equation of the line is,

[tex]\frac{y-5}{-4-5} =\frac{x-(-2)}{6-(-2)}\\\\ \frac{y-5}{-9} =\frac{x+2}{6+2}\\\\\frac{y-5}{-9} =\frac{x+2}{8}\\\\ 8(y-5)=-9(x+2)\\\\8y-40=-9x-18\\\\8y=-9x-18+40\\\\8y=-9x+22\\\\y=-\frac{9}{8}x+\frac{11}{4}[/tex]

above equation is in the slope-intercept form.

Therefore, the slope-intercept equation of a line that passes through the points (-2,5) and (6,-4) is [tex]y=-\frac{9}{8}x+\frac{11}{4}[/tex]

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The plotting of (-4,-11) coordinates is given below in the graph .

We have given a coordinate (-4,-11) which means that x - coordinate is -4 and y- coordinate is -11 .

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The complete question is mention below :

Plot (-4,-11) coordinates over the x -axis and y-axis .

21 days before I had both the lessons together.

For the occurrence of two events at the same time we will find the least common multiple.

If I have piano lessons on every 7th day and tuba lessons on every 3rd day,

Least common multiple of 3 and 7 will be,

Multiples of 3 = 1 × 3

Multiples of 7 = 1 × 7

Least common multiple (LCM) of 3 and 7 = 3 × 7

                                                                   = 21

Therefore, 21 days before I had both the lessons together.

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Answer:

2:5

Step-by-step explanation:

WHichever one they ask you for first is the first number in the ratio. Meaning 2 solid figures are 2:1 plain figures.

Answer:

C. [tex]2^{3} x3^{2}[/tex]

Step-by-step explanation:

[tex]2^{3} x3^{2}[/tex]

[tex]2^{3} =8[/tex]

[tex]=8x[/tex]·[tex]3x^{2}[/tex]

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

[tex]=8x[/tex]·[tex]9[/tex]

Then multiply 8 · 9 = 72

[tex]=72[/tex]

hopefully this helps you !

The number that fits in the given situation is -20.

Now,

Let us suppose the number is x.

As a result, the next condition is twice the sum, which can be written as:

As a result of the condition, we can write the equation as:

Solve for x: x = 2x + 20

Taking 20 off both sides:

Therefore, the number that fits in the given situation is -20.

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Answer: -82

Step-by-step explanation: Substitute the values  then do order of operations

Answer:

ik what you ment

this is your answer 45,435,439.87

Step-by-step explanation:

Answer: 4 points

Step-by-step explanation:

The minimum number of points needed to define two distinct planes is 4 points. Two distinct planes can be defined by 4 points under the conditions that the two distinct planes intersect at a line, and two points exist on that line that are shared between the planes.

Answer:

One line of intersection (three points of intersection)

Step-by-step explanation:

When two planes intersect, they don't form points of intersection, but they form a line of intersection.

From equation of a line,

[tex]{ \tt{ax + by + cz = 0}}[/tex]

x, y, z are points of intersection

Step-by-step explanation:

Hope that helps!!

Answer:

Step-by-step explanation:

Answer:

[tex]1[/tex] and [tex]6[/tex].

Step-by-step explanation:

Let [tex]x[/tex] denote one of the integers. Since the two integers add up to [tex]7[/tex], the other integer would be [tex](7 - x)[/tex].

The sum of the squares of these integers is [tex]37[/tex]. In other words:

[tex]x^{2} + (7 - x)^{2} = 37[/tex].

Expand [tex](7 - x)^{2}[/tex] using binomial expansion. Simplify and rewrite this equation and solve for [tex]x[/tex].

[tex]2\, x^{2} - 14\, x + 12 = 0[/tex].

[tex]x^{2} - 7\, x + 6 = 0[/tex].

Using the quadratic formula or factorization, [tex]x = 1[/tex] or [tex]x = 6[/tex]. Thus, the two integers are [tex]1[/tex] and [tex]6[/tex].