Write an equation of the line that passes through (2,5) and is parallel to the line 2y = 3x + 10.

Answers

Answer 1

Answer:

y = 3/2x - 8  hope I helped

Step-by-step explanation:

To find the equation of a line, we need a point and a slope. We're given a point, and we can easily get the slope. First let's solve 2y = 3x + 10 for y so we can get the slope (recall that y = mx + b is the slope-intercept form, and m is your slope).

2y = 3x + 10  --> almost there already, just divide everything by 2 to get y by itself.

y = 3/2x + 5 --> now you have it in the y=mx + b form, so your slope is 3/2

They asked for the parallel line, remember parallel lines have the same slope, therefore you use the same slope.

Now we know that our slope is m = 3/2 and our point is (2, -5)

You can always find the equation of a line using the Point-Slope Formula:

y - y1 = m(x - x1)    --> our x1 is 2 and our y1 is -5, and slope is 3/2

y - (-5) = 3/2(x - 2)   --> Be careful when you have minus a negative number, like we do here. It becomes:

y + 5 = 3/2(x - 2)  --> now distribute the 3/2

y + 5 = 3/2x - 6/2

y + 5 = 3/2x - 3  --> now we can subtract 5 from both sides to get it into slope intercept form.

y = 3/2x - 8  --> This is the equation of a line that is parallel to 2y=3x+10 & passes through (2, -5)


Related Questions

Subtract the sum of 10 1/6 and 8 3/8 from 22 1/2.

Answers

10 1/6 + 8 3/8 = 18 13/24

22 1/2 - 18 13/24 = 3 23/24

_
3 23/24 OR 3.9583

In the diagram, OP = 2 and OP’ = 8.

Find the scale factor of the dilation.
1/4
1/2
4
6

Answers

Answer:

C Or 4

Step-by-step explanation:

Edge 2022

Answer:

the other person is correct, it is C. (4) :)

Find the exponential function that passes through the points (2,80) and (5,5120)​

Answers

Answer:

  y = 5·4^x

Step-by-step explanation:

If you have two points, (x1, y1) and (x2, y2), whose relationship can be described by the exponential function ...

  y = a·b^x

you can find the values of 'a' and 'b' as follows.

Substitute the given points:

  y1 = a·b^(x1)

  y2 = a·b^(x1)

Divide the second equation by the first:

  y2/y1 = ((ab^(x2))/(ab^(x1)) = b^(x2 -x1)

Take the inverse power (root):

  (y2/y1)^(1/(x2 -x1) = b

Use this value of 'b' to find 'a'. Here, we have solved the first equation for 'a'.

  a = y1/(b^(x1))

In summary:

b = (y2/y1)^(1/(x2 -x1))a = y1·b^(-x1)

__

For the problem at hand, (x1, y1) = (2, 80) and (x2, y2) = (5, 5120).

  b = (5120/80)^(1/(5-2)) = ∛64 = 4

  a = 80·4^(-2) = 80/16 = 5

The exponential function is ...

  y = 5·4^x

what is the sun of -10 and -25

Answers

Answer:

-35

Step-by-step explanation:

Hope this helped! Have a nice day!

Please give brainliest when possible!

:3

Write the slope-intercept form of the equation of each line.​

Answers

Answer:

y=mx+b

y=x+3

Step-by-step explanation:

m: 1 (rise over run by 1)

b: 3

8(3f-6)<-24 solve each inequality.

Answers

Answer:

f < 1

Step-by-step explanation:

8(3f−6)<−24

Divide both sides by 8. Since 8 is positive, the inequality direction remains the same.

3f−6< [tex]\frac{-24}{8}[/tex]

Divide −24 by 8 to get −3.

3f−6<−3

Add 6 to both sides.

3f<−3+6

Add −3 and 6 to get 3.

3f<3

Divide both sides by 3. Since 3 is positive, the inequality direction remains the same.

[tex]f<\frac{3}{3}[/tex]

Divide 3 by 3 to get 1.

f < 1

Solution:

Note that:

Given inequality: 8(3f - 6) < -24

Simplify the inequality to obtain the inequality for f.

8(3f - 6) < -24=> (24f - 48) < -24=> 24f - 48 < -24=> 24f < -24 + 48=> 24f < 24=> f < 1

The simplified inequality is f < 1.

PLEASE ASAPPPPP I NEED ITTTT

Answers

Step-by-step explanation:

If a system has at least one solution, it is said to be consistent. If a consistent system has exactly one solution, it is independent. If a consistent system has an infinite number of solutions, it is dependent.

and if it has no solutions (lines are parallel), then it is inconsistent.

I think that information can be easily found on the internet.

so, the first one on the left is consistent independent. it has a unique solution at (-2, 1). the solution is always the crossing point of the lines.

the middle system is consistent dependent. both lines are identical, and so we have infinite many "crossing points" or solutions.

the right system is inconsistent, as 2 parallel lines have no solution at all.

PLEASEEEEE HELPPPPPPPPP ASAPPPPPP

Answers

Answer:

there ya go if u need a clearer photo or a photo of showing tour work lmk:)

Ms. B is making snickerdoodle cookies. Her recipe uses one and a half teaspoons of cinnamon to make two dozen cookies. If she needs to make thirteen dozen cookies to give one cookie to each of her students, how much cinnamon will she need? There are three teaspoons in one tablespoon. How many tablespoons and teaspoons will Ms. B need?

Answers

Answer:

First we must learn to dissect a question.

Explanation:

Part 1

We can list our facts first:

Every 2 dozen cookies takes 1.5 teaspoons of cinnamon to makeShe needs 13 dozen cookies

She needs 13 dozen cookies. So (13/2)x 1.5 teaspoons

[tex]6.5 \times 1.5 = 9.75 \: teaspoons[/tex]

Part 2

She needs 9.75 teaspoons and 3 teaspoons make a tablespoon

So..

[tex]9.75 \div 3 = 3 r0.75= 3tbsp \: and \: 0.75tsp[/tex]

Find the M angle BDC

Answers

Answer:

60 degrees

Step-by-step explanation:

because it is an equilateral triangle

A flower shop acquired 80 new customers last year. Costs in the marketing and sales areas were the following:

Marketing Costs = $1,200
Sales Costs = $9,000
Salaries = $87,000
What was the Customer Acquisition Cost?

Click this link to open the Business Financials Part 2 Study Guide to view the formula used for this problem!

Type a comma to separate the digits and type the $ symbol when you enter your answer as shown below:

Example: $10

Answers

Using proportions, it is found that the Customer Acquisition Cost was of $1,215.

What is a proportion?

A proportion is a fraction of a total amount.

In this problem, the customer acquisition cost is the spending in sales divided by the number of customers added.

80 customers were added, considering costs of 1200 + 9000 + 87000 = $97,200, hence:

97200/80 = $1,215.

More can be learned about proportions at https://brainly.com/question/24372153

b2+16 ? #Evaluate the expression when b=5.

Answers

Answer:

41

Step-by-step explanation:

I persume you mean b²+16 which gives us (5)²+16=25+16=41 after plugging in b=5


Answer Number 2 or number 6 pleasee

Answers

Problem 2

Rewrite the fraction 2/3 into 4/6. This is valid because we multiply top and bottom by 2.

2/3 = 4/6

Now compare the fractions for Wednesday and Tuesday in that order. We have 4/6 and 5/6. We can ignore the denominators because they effectively cancel out. The numerators will form the answer.

Answer is the ratio 4:5

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

Problem 6

7% = 7/100 = 0.07

7% of 12,500 = 0.07*12500 = 875

Answer: 875 dollars

Help!? Please just this question

Answers

Answer:

I'd say 1/16

Step-by-step explanation:

but honestly it'd be more like 1/10,000. There's so many options. SORRY  if you get this wrong!

Solve the following absolute value equation.
z? = 7
=
-
X = 15
X = - [?]
Notice that the negative sign is already entered!
Enter

Answers

Hey there!

[tex]|\displaystyle\frac{x-1}{2} |=7[/tex]

Let's say that x-1 is negative:

[tex]\displaystyle\frac{-x+1}{2} =7[/tex]

The first step is to multiply both sides by 2:

[tex]\text{-x+1=14}[/tex]

Now, move 1 to the right, using the opposite operation:

[tex]\text{-x=14-1}[/tex]

[tex]\text{-x=13}[/tex]

Divide both sides by -1:

[tex]\text{x=-13}[/tex]

Note: Since the negative sign is already entered, all you need to enter is 13.

I hope you find my answer helpful.

Good luck!

Have a great day!

[tex]\bf{StargazingWithJoy}[/tex]

What is the number before the decimal point called?.

Answers

Answer:

i believe it would be your whole number

Sophie tells the truth only on Monday, Tuesday, Wednesday, and Thursday. She lies on all other days. Her sister Mary tells the truth only on Monday, Friday, Saturday, and Sunday. She lies on other days. If they both said to their mom, "Yesterday I lied," what day is it today?

Wednesday
Thursday
Monday
Sunday
Saturday
Tuesday
Friday
please explain how you got the answer please :)​

Answers

Answer:

Monday

Step-by-step explanation:

Sophie tells truth on Monday, Tuesday, Wednesday, and Thursday. Mary tells truth on Monday, Friday, Saturday, and Sunday. Yesterday is the Sunday so Monday is the answer.

PLEASE MARK ME AS BRAINLIEST

inequalitys math question
please help

Answers

Answer is B (hope this helps!)

The answer is B. Your welcome

Please help! (Calculate the area of this circle)

Answers

Answer:

10 units hope this helps!!!!!!!

Step-by-step explanation:

Please help will give brainliest.

Answers

Answer:

1st and 3rd options

Step-by-step explanation:

substitute the coordinates of each point into the left side and compare answer to right side.

(0, 2 )

2(2) - 0 = 4 - 0 = 4 > 1 ← solution

(8, [tex]\frac{1}{2}[/tex] )

2([tex]\frac{1}{2}[/tex] ) - 8 = 1 - 8 = - 7 < 1 ← not a solution

(- 6, 3 )

2(3) - (- 6) = 6 + 6 = 12 > 1 ← solution

(- 7, - 3 )

2(- 3) - (- 7) = - 6 + 7 = 1 ← not a solution

help I will give brainlets XD I didnt spell it right

Answers

Answer:

1. Three batches

2.represent milk with a circle and cocoa with a square

3.  a. 6:2 and 9:3

    b. 3:2 and 1:3

Step-by-step explanation:

1.  circle every 3 mustard seeds, 5 chili power and 1 salt

2. So draw two circles and five squares to represent 1 batch of chocolate milk and to represent 2 do the same thing (make sure to circle the two separate batches)

Which problems can be solved by performing this multiplication?

15×30

Select each correct answer.


There were 30 people in a room. One-fifth of the people had blue eyes. How many people had blue eyes?

Evan's mother drove 30 miles on Wednesday and another 15 mile on Wednesday. How many miles did she drive in all?

Jada had 30 crayons. She lost 15 of the crayons. How many crayons does she have left?

Amelie read 30 pages of a book. She read 15 of the pages on Monday. How many pages did she read on Monday?

Answers

Answer:

Amelie read 30 pages of a book. She read 15 of the pages on Monday. How many pages did she read on Monday is the answer.

None of the above

If the × sign is + then second one is the answer as we have to add in order to get total distanceIf it's 1/5 ×30 then first one is correctIf × is - the. third one is correct as we need to subtract.

(50 pts, will mark brainliest) Classify Angle 3 & Angle 4 by choosing the correct term from the choices below.


A) adjacent



B) complementary



C) vertical



D) straight

Answers

Answer:

Adjacent

Step-by-step explanation:because it is right next to 4

The correct term that can be used to classify angles 3 and 4 is: A) adjacent.

What are Adjacent Angles?

If two angles lie next to each other and they share one side and a vertex, then, both angles can be called adjacent angles.

An example of such angles that share a common side and a vertex are angles 3 and 4 as shown in the image.

Therefore, the correct term that can be used to classify angles 3 and 4 is: A) adjacent.

Learn more about adjacent angles on:

https://brainly.com/question/26768295

one leg of a right triangle is 5 more than the other leg the hypotenuse is one more than twice the size of the short leg find the dimension of the triangle

Answers

Short leg be x

Perpendicular=P=xBase=B=x+5Hypotenuse=H=2x+1

Apply Pythagorean theorem

[tex]\\ \rm\Rrightarrow P^2+B^2=H^2[/tex]

[tex]\\ \rm\Rrightarrow x^2+(x+5)¥2=(2x+1)^2[/tex]

[tex]\\ \rm\Rrightarrow x^2+x^2+10x+25=4x^2+4x+1[/tex]

[tex]\\ \rm\Rrightarrow 2x^2+10x+25=4x^2+4x+1[/tex]

[tex]\\ \rm\Rrightarrow 4x^2-2x^2+4x-10x+1-25=0[/tex]

[tex]\\ \rm\Rrightarrow 2x^2-6x-24=0[/tex]

[tex]\\ \rm\Rrightarrow x^2-3x-12=0[/tex]

[tex]\\ \rm\Rrightarrow x=\dfrac{3\pm\sqrt{9+48}}{2}[/tex]

[tex]\\ \rm\Rrightarrow x=\dfrac{3\pm \sqrt{57}}{2}[/tex]

[tex]\\ \rm\Rrightarrow x=\dfrac{3\pm 7.2}{2}[/tex]

[tex]\\ \rm\Rrightarrow x=1.5\pm 3.6[/tex]

Take positive

[tex]\\ \rm\Rrightarrow x=1.5+3.6=5.1[/tex]

P=5.1B=10.1H=11.2

Evaluate 4.7j – 6.8k when j = 5 and k = 3. Enter your answer in the box.

Answers

Answer:

Step-by-step explanation:

Plugin j = 5  and k = 3 int he expression,

4.7j - 6.8k = 4.7*5 - 6.8*3

                 = 23.5 - 20.4

                  = 3.1

I need the procedure and the answer

Answers

Answer:

y = ½x + 5

Step-by-step explanation:

slope of the line is : a= (8-5)/(6-0) = ½ it's the coefficient of x too.

y = ax + b → y = ½x + b

consider the point (0,5) → 5 = ½(0) + b → b = 5

so equation of the line is: y = ½x + 5

Answer:

Step-by-step explanation:

(6,8)  ; (0,5)

At y-intercept x is o.

y=intercept = b = 5

Equation of line in slope intercept form: y = mx + b

y = mx + 5

In this, Plugin the values of the point (6 ,8)

8 = 6m + 5

8 - 5 = 6m

3 = 6m

Divide both sides by 6

3/6 = 6m/6

1/2 = m

Equation of the line:

[tex]y = \dfrac{1}{2}x+5[/tex]

8 yd 15 yd 4 yd r ay Find the volume of the prism. Round your answer to the nearest tenth. 18.5 ft 8.6 ft h = 8.4 ft​

Answers

L=8ydB=15ydH=4yd

Volume:-.

[tex]\\ \tt\longmapsto V=LBH[/tex]

[tex]\\ \tt\longmapsto V=8(15)(4)[/tex]

[tex]\\ \tt\longmapsto V=480yd^3[/tex]

8w-44=-2(w+2) solve for w

Answers

8(w-2)=2w+44

We move all terms to the left:

8(w-2)-(2w+44)=0

We multiply parentheses

8w-(2w+44)-16=0

We get rid of parentheses

8w-2w-44-16=0

We add all the numbers together, and all the variables

6w-60=0

We move all terms containing w to the left, all other terms to the right

6w=60

w=60/6

w=10

please simplify
1,056=6(x+19)

Answers

Answer: x = 157

Step-by-step explanation:

[tex]1056=6\left(x+19\right)[/tex]

Switch sides:

[tex]6\left(x+19\right)=1056[/tex]

Divide both sides by 6:

[tex]\frac{6\left(x+19\right)}{6}=\frac{1056}{6}[/tex]

Simplify:

[tex]x+19=176[/tex]

[tex]x+19-19=176-19[/tex]

[tex]x=157[/tex]

What is 115% of 82? Solve using the proportion method.

Answers

Answer:

94.3

Step-by-step explanation:

82/100 = X/115

X/115 = 82/100

X*115/115 = 82*115/100

X = 9430/100

X = 94.3

this is what i did i dk what proportion method is .... hope it helps

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