2 intersecting lines are shown. A line with points T, R, W intersects a line with points S, R, V at point R. Angle T R V is 95 degrees. mAngle SRW = °

Answer:

a) f(3) =6

b) g(-4) =16

Step-by-step explanation:

answer to a, substitute X with 3. which will be f(3)=9-3

=6

answer to b, substitute X with -4, which will be g(-4)=(-4)^2

=16

Answer:

There are no solutions

Steps :

First we expand it

[tex]-3+6b=6b+5[/tex]

Then we add 3 to both sides

[tex]-3+6b+3=6b+5+3[/tex]

Then we simplify

[tex]6b=6b+8[/tex]

Then we subtract 6b from both sides

[tex]6b-6b=6b+8-6b[/tex]

Simplify

[tex]0=8[/tex]

No solutions !

Answer:

A. y = 2/5x - 2

Step-by-step explanation:

We can use the slope formula to find the slope of the line.

[tex]m=\frac{y_1-y_2}{x_1-x_2} \\m=\frac{-2-0}{0-5} \\m=\frac{-2}{-5}\\m=\frac{2}{5}[/tex]

Now we know that the slope of the line is 2/5. By looking at the graph, the line crosses the y-axis at the point (0, -2). Therefore, the equation of the line is y = 2/5x - 2.

Answer:

25°

Step-by-step explanation:

2x - 5°  = x + 20°

2x - x = 20° + 5°

x = 25°

The correct representation of the law of cosines is A. c² = a² + b² - 2ab cos C.

Let there is triangle ABC such that |AB| = a unit, |AC| = b units, and |BC| = c units and the internal angle A is of θ degrees, then we have:

[tex]a^2 + b^2 -2ab\cos(\theta) = c^2[/tex]

(c is the opposite side to angle A)

We have been Given any triangle ABC with corresponding side lengths a, b, and c.

In the given triangle ABC, the sides are;

BC = a, AB = b and AC = c

Now we know as per the law of cosines for all three sides of the triangle;

c² = a² + b² - 2ab cosC

a² = b² + c² - 2bc cosA

b² = a² + c² - 2ac cosC

Therefore the correct representation of the law of cosines is A. c² = a² + b² - 2ab cos C.

Learn more about the law of cosines here:

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Answer: The longest possible length of the shelves =  18 inches

Step-by-step explanation:

Given: Lengths of two boards are  72-inches and 54 inches.

To make as many shelves as he can while using up all the wood we will find the longest possible length of the shelves = HCF ( 72, 54)

72 = 2 x 2 x 2 x 3 x 3

54 = 2 x 3 x 3 x 3

HCF(72,54) = 2 x 3 x 3 = 18

Hence, the longest possible length of the shelves =  18 inches

Answer:

C

Step-by-step explanation:

because to solve it you are seeing which number divises 52 to get you 13

so using the inverse you just need to use multiplication

Answer:

-39

Step-by-step explanation:

Step 1: Simplify both sides of the equation.

x+52=13

Step 2: Subtract 52 from both sides.

x+52−52=13−52

x=−39

Answer:

x=−39

Answer:

[tex]-\frac{1}{12}[/tex]

Step-by-step explanation:

Reduce the expression, if possible, by canceling the common factors.

Answer:

-

Step-by-step explanation:

-5/6÷-10

-5/6*1/-10

-5/-60

1/12

Answer:

An arithmetic sequence is defined by:

[tex]a_n = a_{n-1} + d[/tex]

Here, we know that:

[tex]a_3 = 14\\a_{10} = 98[/tex]

Using the recursive relation, we can write:

[tex]a_{10} = 98 = a_9 + d[/tex]

And can keep applying the recursive relation, so we will have:

[tex]98 = a_9 + d = (a_8 + d) + d = a_8 + 2*d[/tex]

And so on, until we get to a known term:

[tex]98 = a_8 + 2*d = a_7 + 3*d = a_6 + 4*d = a_5 + 5*d = a_4 + 6*d = a_3 + 7*d[/tex]

[tex]98 = a_3 + 7*d = 14 + 7*d[/tex]

Then we can solve:

98 = 14 + 7*d

for d:

98 - 14 = 7*d

84 = 7*d

84/7 = d = 12

Now we know the value of d, we can keep using the recursive relation to find the first 3 terms:

Here, we can rewrite the recursive relation as:

[tex]a_{n-1} = a_n - d[/tex]

Then:

[tex]a_2 = a_3 - d = 14 - 12 = 2\\a_2 = 2[/tex]

[tex]a_1 = a_2 - d = 2 - 12 = -10\\a_1 = -10[/tex]

[tex]a_0 = a_1 - d = -10 - 12 = -22\\a_0 = -22[/tex]

Then the first 3 terms are:

-22, -10, 2

Answer:

D

Step-by-step explanation:

In a function with x as the independent variable and y as the dependent variable, the f(x) notation replaces y in the equation.

Answer:

y=-7x-3

Step-by-step explanation:

y=-7x+b

32=-7(-5)+b

32=35+b

-3=b

y=-7x-3

Answer:

Step-by-step explanation:

Finding the 8th term of this sequence will be much easier with an explicit formula, so we will find that, find the 8th term, then write the equation for the recursive. The recursive formula is only good if you know all the terms before the one you're looking for. That means if we want the 8th term, we first have to find the 7th term, but before that we have to find the 6th term, etc...

We can find the explicit formula for this using the info we have about the 5th term and the 3rd term. The explicit formula looks like this, in general terms:

[tex]a_n=a_1*r^{n-1[/tex] where a1 is the first term and r is the common ratio. We can solve for both, one at a time. First, using the fact that the 5th term is 3888:

[tex]a_5=a_1*r^{5-1[/tex] and subbing in and simplifying:

[tex]3888=a_1*r^4[/tex] and we will solve that for a1:

[tex]a_1=\frac{3888}{r^4}[/tex]

Now the other equation we need for this system, using the fact that the third term is 108:

[tex]108=a_1*r^2[/tex] and we sub in our expression for a1:

[tex]108=(\frac{3888}{r^4})*r^2[/tex] which simplifies to

[tex]108=\frac{3888}{r^2}[/tex] and

[tex]r^2=\frac{3888}{108}[/tex] so

r = 6. Now we'll plug 6 in for r to find a1:

[tex]a_1=\frac{3888}{6^4}[/tex] so

a1 = 3. Now we have the a and r for the explicit formula:

[tex]a_n=3*6^{n-1[/tex] and we simply put in an  for n:

[tex]a_8=3*6^{8-1[/tex] and

[tex]a_8=3*6^7[/tex] which gives us the 8th term as

a8 = 839808

The recursive formula is

[tex]a_n=a_{n-1}*r[/tex] and it works, also, but again, you have to have all the terms that come before the one you want or this formula is useless. Explicit is always better, in my opinion.

The solution to the multiplication of surds (2√3) × (3√2) is; 6√6

Let us break each of them into the factors to get;

√12 × √18 = √(4 × 3) × √(9 × 2)

(√4 × √3) × (√9 × √2)

Simplifying this further gives;

(2√3) × (3√2)

a√b × p√q = ap√bq

(2√3) × (3√2) = 6√6

Read more about multiplication of surds at; https://brainly.com/question/24700530

Answer:

To add or subtract two rational expressions with the same denominator, we simply add or subtract the numerators and write the result over the common denominator.

When the denominators are not the same, we must manipulate them so that they become the same. In other words, you must find a common denominator.

Step-by-step explanation:

Answer:

C

Step-by-step explanation:

Corresponding parts of similar triangles are proportionate

Answers:

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

Explanations:

Answer:

75.41 cm

Step-by-step explanation:

To find the circumference:

[tex]C = 2r\pi[/tex]

C= 24π = 75.398223686

= 75.41 cm

Answer:

x = 50

Step-by-step explanation:

The unknown arc is

360 -30-100-100 =

130

We can find the value of x

Angle Formed by Two Secants= 1/2(difference of Intercepted Arcs)

x = 1/2 ( 130 -30)

x = 1/2 (100)

x = 50

explanation

above shows total explanation by set theory,

answer

2

, t

Answer:

y / z^3

Step-by-step explanation:

x^0 is 1 because anything to the zero power is 1

1 *y z^-3

We know a^-b = 1/a^b

y / z^3

Answer:

[tex] \small \sf \frac{y}{z {}^{ 3}} [/tex]

Step-by-step explanation:

x⁰yz-³

[tex] \small \sf \: 1yz {}^{ - 3} [/tex]

1y +[tex] \small \sf \frac{1}{ z {}^{ 3}} [/tex]

[tex] \small \sf \frac{y}{z {}^{ 3} }[/tex]

Answer:

(1,2)

Step-by-step explanation:

y = 2x. y = -x+3

Set the two equations equal

2x = -x+3

Add x to each side

2x+x = -x+x+3

3x = 3

Divide by 3

3x/3 = 3/3

x = 1

Now find y

y =2x = 2(1) = 2

(1,2)

Solve like how you solve the system of equations. System of Equations are to find the intercept of both graphs or to find which coordinate points are solution to both equations.

We are given the equations below:

[tex] \large{ \begin{cases} y = 2x \\ y = - x + 3 \end{cases}}[/tex]

Since both equations are y-isolated and we want to find the coordinate point that both equations have or the coordinate point that is a part of two equations.

[tex] \large{2 x = - x + 3}[/tex]

Isolate the x-term by adding both sides by x.

[tex] \large{2x + x = - x + 3 + x} \\ \large{3x = 3}[/tex]

Divide both sides by 3 so we can finally get the x-isolated equation.

[tex] \large{ \frac{3x}{3} = \frac{3}{3} \longrightarrow x = 1 }[/tex]

Next step is to find the value of y. x-term and y-term both have relations. That means when substituting x-term, we get y-term. Therefore, substitute x = 1 in any given equations. It is not necessary to substitute both, only one is fine. I will choose the first equation to solve for y-value.

[tex] \large{y = 2x}[/tex]

Substitute x = 1:

[tex] \large{y = 2(1) \longrightarrow y = 2}[/tex]

The value of y is 2 when x is 1. Since we want the answer to be in coordinate form or ordered pair. From (x,y) - we get (1,2).

Answer

I hope this helps! Let me know if you have any questions or doubts. Do not hestitate to ask if you've got a question. Good luck on your assignment and have a great day!

Answer:

explain two ways in which the preservation of natural environments adds quality of life in a country : ,

Answer:

x = 64

Step-by-step explanation:

The exterior angle is equal to the sum of the opposite interior angles

154 = x+90

Subtract 90 from each side

154-90 = x

64 =x

Answer:

x = 64

Step-by-step explanation:

First, we need to find the unknown interior angle next to the exterior angle.

? + 154 = 180

? = 26

Lastly, we need to find x.

x + 26 + 90 = 180

x + 116 = 180

x = 64

Answer:

D. 8

Step-by-step explanation:

[tex]3\frac{3}{5} x2\frac{2}{9}[/tex]        Convert the fractions into a improper fractions

[tex]\frac{18}{5} x\frac{20}{9}[/tex]         Multiply 18 x 20 / 5 x 9

[tex]\frac{360}{45}[/tex]              Simplify

8

Answer:

solution given:

product of (4a-5b) and (3a+4b-2c) is:

the value of the product when A=2 b-3 and C= -2 :

(4a-5b)*(3a+4b-2c)

Answer:

47 pencil

Step-by-step explanation:

Let x represent the number of pencils that were bought. Since equal number of erasers where also purchased, hence x erasers were purchased.

Cost of pencils = Rs 20 per pencil * x pencils = 20x

Cost of erasers = Rs 4 per eraser * x eraser = 4x

40% profit was made on pencils, hence:

Profit on pencils = 40% of cost price = 0.4 * 20x = 8x

50% profit was made on erasers, hence:

Profit on eraser = 50% of cost price = 0.5 * 4x = 2x

Since the total profit from pencil and eraser was Rs 470, hence:

8x + 2x = 470

10x = 470

x = 47

Therefore he purchased 47 pencil