Find the equation of the line parallel to the line y = 4x + 10, that goes
through the point (5, 1)

Answers

Answer 1

Answer:  the slope of y=−4x+10 is: −4.

Step-by-step explanation:


Related Questions

5 + 3 + 52 × 5 − 2 =

Answers

Answer:

164 With the parenthesis

266 without parenthesis

In the fraction 11/12 the_is 11

Answers

Answer:

numerator

Step-by-step explanation:

.,.............

Numerator

Hope this helps

Write the expression as a simplified rational expression. Show your work.
(6x+2)/(1/x + 1/(2x+1))
Answer:

Answers

Answer:

4x^2 + 2x

Step-by-step explanation:

(6x+2)/(1/x + 1/(2x+1))= 2(3x + 1)/((2x + 1 + x)/x(2x+1)) =2(3x + 1)x(2x+1)/(3x+1) = 2x(2x + 1) = 4x^2 + 2x

Answer:

4x^2 + 2x

Step-by-step explanation:

i just did this

If a point P(x,y) is the equidistant from the points A(2,3) and B(6,1), find the equation of locus of moving point P.​



please answer it and I will mark your answer as the brainliest..please..!!!

Answers

Answer:

[tex]y=2x-6[/tex]

Step-by-step explanation:

A locus can be defined as a curve or figure formed by all the points satisfying a particular equation of the relation between coordinates.

The condition stated in the question is such that a generic (x,y) point of the curve is equidistant from the points A(2,3) and B(6,1).

The distance d1 from (x,y) to (2,3) is:

[tex]d_1=\sqrt{(x-2)^2+(y-3)^2}[/tex]

The distance d2 from (x,y) to (6,1) is:

[tex]d_2=\sqrt{(x-6)^2+(y-1)^2}[/tex]

Since d1=d2:

[tex]\sqrt{(x-2)^2+(y-3)^2}=\sqrt{(x-6)^2+(y-1)^2}[/tex]

Squaring both sides:

[tex](x-2)^2+(y-3)^2=(x-6)^2+(y-1)^2[/tex]

Operating:

[tex]x^2-4x+4+y^2-6y+9=x^2-12x+36+y^2-2y+1[/tex]

Simplifying all the squares:

[tex]-4x+4x+4-6y+9=-12x+36-2y+1[/tex]

Moving the variables to the left side and the numbers to the right side:

[tex]-4x+12x-6y+2y=36+1-4-9[/tex]

Simplifying:

[tex]8x-4y=24[/tex]

Dividing by 4:

[tex]2x-y=6[/tex]

Or, equivalently:

[tex]\boxed{y=2x-6}[/tex]

Find x. Give reasons to justify your solution. b Lines AB and CD are straight lines.

Answers

Answer:

x = 28

Step-by-step explanation:

Given that lines AB and CD are straight lines that intersects at O, it follows that the pair of opposite vertical angles formed are congruent.

Thus,

<AOD = <BOC

<AOD = 152°

<BOC = 3x + x + (x + 12) (angle addition postulate)

<BOC = 5x + 12

Since <AOD = <BOC, therefore,

152° = 5x + 12 (substitution)

152 - 12 = 5x (subtraction property of equality)

140 = 5x

140/5 = x (division property of equality)

28 = x

x = 28


While scuba diving, Alex counted the number of sea turtles and jellyfish he saw. After a few minutes, he counted 4 sea
turtles and 12 jellyfish. This ratio remained consistent during the remainder of his dive.
Part A
Using the given ratio, complete the table.
Number of
Number of
Sea Turtles
Jellyfish
1
4
24
14
60

Answers

Answer:

The values which are added to the table are;

Sea turtles = 1, Jellyfish  = 3

Sea turtles = 4, Jellyfish  = 12

Jellyfish = 24, Sea turtles= 8

Sea turtles = 14, Jellyfish  = 42

Jellyfish = 60, Sea turtles= 20

Step-by-step explanation:

The given parameters are;

The ratio of sea turtles to jellyfish = 4:12

Therefore, the ratio of sea turtles to jellyfish = 1:3

Which gives;

When the number of sea turtles = 1, the jellyfish = 1 × 3 = 3 Jellyfishes

When the number of sea turtles = 4, the jellyfish = 4 × 3 = 12 Jellyfishes

When the number of sea jellyfishes = 24, the number of sea turtles = 24/3 = 8 sea turtles

When the number of sea turtles = 14, the jellyfish = 14 × 3 = 42 Jellyfishes

When the number of sea jellyfishes = 60, the number of sea turtles = 60/3 = 20 sea turtles

The values given in the table can be presented as follows;

Number of Sea Turtles    [tex]{}[/tex]                                          Number of Jellyfish

1                                             [tex]{}[/tex]                                           3

4    [tex]{}[/tex]                                                                                   12

8                                             [tex]{}[/tex]                                          24

14                                              [tex]{}[/tex]                                        42

20                                            [tex]{}[/tex]                                         60

Find the value of x so that line m is parallel to line l.

Answers

Answer:  A) 46

Explanation:

The angles shown are same side interior angles.

For line L to be parallel to line M, the same side interior angles must be supplementary, or they must add to 180.

28+(3x+14) = 180

28+3x+14 = 180

3x+42 = 180

3x = 180-42

3x = 138

x = 138/3

x = 46

Step-by-step explanation:

the angles are same side interior angles and because of that they are supplementary and add up to 180°

(3x + 14) + 28 = 180°

3x + 14 + 28 = 180

3x + 42=180

3x=180-42

3x= 138

divide by 3

x = 46

Which must be present in order for factoring by grouping to apply? - The ratios of the first two terms and the second two terms must be positive. - The ratio of the first two terms must be equivalent to the ratio of the last two terms. - There must be at least three terms. - The first and the last terms must be perfect squares.

Answers

Answer:

For factoring by grouping to apply, the ratio of the first two terms must be equal to the ratio of the last two terms

Step-by-step explanation:

Here, we want to select which of the options must be present in order for factoring by grouping to apply.

The correct answer is that the ratio of the first two terms must be equivalent to the ratio of the last two terms

What this mean is that we must have an equal ratio two times

This practically plays out each time we are to factorize quadratic expressions

For example, in the case of

x^2 -12x + 20

This can be written as;

x^2 - 10x - 2x + 20

which can then be written as x(x-10) -2(x -10)

= (x-2)(x-10)

The first two terms have a ratio of ;

x^2/-10x while the last two terms have a ratio -2x/20

Thus, we have -x/10 and -x/10

We can see here that the ratios of both sets are equivalent

Answer:

The ratio of the first two terms must be equivalent to the ratio of the last two terms

the place value of 2 in 5.32 is​

Answers

Answer: hundredths

Step-by-step explanation:

The second number past the decimal point is the hundredths place

It is in the hundredths place hope this helps

A man drove 13 mi directly east from his home, made a left turn at an intersection, and then traveled 5 mi north to his place of work. If a road was made directly from his home to his place of work, what would its distance be to the nearest tenth of a mile?

Answers

Answer:

13.93 miles

Step-by-step explanation:

From the given information:

we are being told that a drove 13 miles towards east from home.

and make a left turn due north, thus travel 5 miles.

The objective is to find the man's distance from his starting point(i.e. his home) to his place of work.

Let the horizontal base distance be x = adjacent side = 13 miles

Let the vertical distance be y = opposite side = 5 miles

Let the slant distance be z = hypotenuse side =  ??? (unknown)

Therefore, using the pythagoras theorem.

(hypotenuse)² = (opposite)² + (adjacent)²

z² = y² + x²

z² = 5² + 13²

z² = 25 + 169

z² = 194

[tex]z = \sqrt{194}[/tex]

z = 13.93 miles

Evaluate 2a^2-b^3 for a = 4 and b=-3​

Answers

Answer:

59

Step-by-step explanation:

2a^2 - b^3

a = 4, b = -3

substitute in the given values and solve

2*4^2 - -3^3

remember the order of operations, exponents first

2 * 4^2 - - 3^3

= 2 * 16 - - 27

simplify

2 * 16 - -27

=32 - - 27

= 32 + 27

= 59

PLZ HELP ME
8.9 x 10 EXP -5

4.41 x 10 EXP -2

0.000009 in scientific notation

Answers

Answer:

8.9 x 10^-5 = 0.000089

4.41 x 10^-2 = 0.0441

0.000009 = 9 x 10^-6

what 2 numbers does 10 fall between

Answers

Answer:

9 and 11

Step-by-step explanation:

Answer:

1   and 11

Step-by-step explanation:

What is the graph for y=3(x-1)^2

Answers

Answer:

I attached it

Step-by-step explanation:

The book contains 200 thin sheets of paper.

The student wants to find the average mean, thickness of a sheet of paper in the book

Describe how he can determine such a small distance using only a ruler.

Answers

Answer:

Measure all the sheets together and divide by 200

Step-by-step explanation:

An average mean is the sum of something divided by how many things there are.  In this case, it is the sum of the thickness of 200 pages, divided by the number of pages, 200.

How do I turn a equation to factored form

Answers

Answer:

what equation is it?? bc it's important to know witch one

which of these numbers has the most factors? 6:
17:
25:
36:

Answers

Answer:

36

Step-by-step explanation:

36 is correct answer.

Can someone please help me answer these

Answers

Step-by-step explanation:

5: odd

6: even

7: even

That's your answer

How many 4-letter “words” can be made using all the letters in BEEP, if the two Es are indistinguishable? Two such “words” to include are BEEP and EBEP.

ANSWER PLS
thank you so much!

Answers

beep and peeb and bee and pee

Answer:

6

Step-by-step explanation:

the one E doesn't count so 3! is 3*2*1 which is 6

PLZ MARK ME BRAINLIEST

Last year, Deanna bought 225 lamps when customers needed 250 lamps. This year, she bought 300 lamps but only sold 200 lamps. Which set of statements about the percent errors for the two years is true?
The percent error for this year was lower. Deanna estimated better last year.
The percent error for this year was higher. Deanna estimated better last year.
The percent error for this year was lower. Deanna estimated better this year.
The percent error for this year was higher. Deanna estimated better this year.

Answers

Answer:

The percent error for this year was higher. Deanna estimated better last year.

Step-by-step explanation:

Answer:

Step-by-step explanation:

6jkyuilyi

1. Write as a base with a positive exponent, then evaluate. Write your final answer as a
fraction where required.

a) 4^-2

Answers

Answer:

Well a base with a positive exponent would be 5^3. All this means is 5x5x5 which is 125.

Step-by-step explanation:

Hope this helps!

Can anyone do this question? ​

Answers

Answer:

its simple 5.90

Step-by-step explanation:

What is a good problem to use for an inequality equation? using ax + b > c. Including the solution.

Answers

Answer:

A "solution'' of an inequality is a number which when substituted for the variable makes the inequality a true statement. When we substitute 8 for x, the inequality becomes 8-2 > 5. Thus, x=8 is a solution of the inequality.Step-by-step explanation:

Answer:

the person above me is correct

Shark  boi U~U


6 of 12
Sam had a bank account balance of $32. He deposited $28 into his account
Which statement is true about his balance after making the deposit?
A
His balance will be less than $32
B
His balance will be greater than $28.
С
His balance will be between S0 and $28
His balance will be between $32 and $0

Answers

Answer:his balance will be between 0 and 28

Step-by-step explanation:

I need help please I don’t understand this

Answers

Answer:

cosB = 21/75, tanB = 72/21

Step-by-step explanation:

Here, we can use pythagoras to figure out all sides. 75^2-72^2 = 21^2. So, we have sides with lengths 21, 72, and 75. We are given that sinB = 72/75. The definition of sin is opposite of hypotenuse. So, the opposite of angle B is side CA and the hypotenuse is BA. This allows us to find that BC is the 21 length side. The cos of an angle is adjacent over hypotenuse. In this case, it is BC/BA which is 21/75. similarly, Tan is opposite over adjacent or 72/21. And we are done. Those are the values. TO remember these, use the acronym:

SOH CAH TOA. S refers to sin and OH refers to opposite over hypotenuse. Similarly C is cos, A is adjacent, and H is hypotenuse, and then T is tan,  o is opposite and A is adjacent.

Luke received an inheritance of $15000 that he divided into three parts and invested in three ways: in a money-market (x) fund paying 4% annual interest;in municipal bonds (y) paying 3.5% annual interest; and in mutual funds (z) paying 8% annual interest. Luke invested twice in mutual funds than in money-market fund. He earned $845 in interest the first year. How much did Luke invest in each type of fund?

Answers

Answer:

Kindly check explanation

Step-by-step explanation:

Total principal invested = $15000

Investment x at 4% (0.04)

Investment y at 3.5% = 0.035

Investment z at 8% = 0.08

z investment = 2x

Total interest earned = $845

Simple interest = principal * rate * time

y * 0.035 + x * 0.04 + 2x * 0.08 = 845

0.035y + 0.2x = 845 - - - (1)

y + x + 2x = 15000

3x + y = 15000 - - - - (2)

y = 15000 - 3x

0.035(15000 - 3x) + 0.2x = 845

525 - 0.105x + 0.2x = 845

525 + 0.095x = 845

0.095x = 845 - 525

0.095x = 320

x = 320/0.095

x = 3368.42

Z = 2x

Z = 2 * 3368.42 = $6736.84

y = 15000 - 3(3368.42)

y = $4894.74

In the expression 3x2y + 4x – 5x2y, are the terms 3x2y and –5x2y like terms? Explain by providing support for your answer.

Answers

Answer:

yes

Step-by-step explanation:

These are like terms because they  have the same variables and powers. The coefficients do not need to match for it to be considered a like term.

Answer:

Sample Response: Yes, they are like terms because like terms have the same variables raised to the same powers. Both terms contain an x and y variable with the x variable squared.

Step-by-step explanation:

Can some one PLEASE answer these for me? (I’ll also mark you brainliest!)

Answers

Answer:

0.83

Step-by-step explanation:

Answer:

0.83 A

Step-by-step explanation:

Solve.
3(x-4) = -3
How do i slove this

Answers

Answer:

[tex]3(x - 4) = - 3 \\ 3x + 12 = - 3 \\ 3x = - 15 \\ x = - 5[/tex]

Firstly, multiply the number and variable in the perenthesis. Then move the variable on it's own side of the equation. The simplify.

Answer:

You need to do the Distributive Property. This means multiplying the number outside the parenthesis to each number inside.

Step-by-step explanation:

3(x)=3x

3(-4)=-12

3x+-12=-3

then evaluate using inverse operations to get x=3

At Cheng's Bike Rentals, it costs $23 to rent a bike for 4 hours. How many hours of bike use does a customer get per dollar? ​

Answers

Step-by-step explanation:

5.75 dollers cause 23 ÷ by 4 is 5.75

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