Mathematics Middle School

what's 2x-y=-3 in slope intercept form

Answers

Answer 1

The equation of line is slope intercept form is y = 2x + 3

What is an Equation of a line?

The equation of a line is expressed as y = mx + b where m is the slope and b is the y-intercept

And y - y₁ = m ( x - x₁ )

y = y-coordinate of second point

y₁ = y-coordinate of point one

m = slope

x = x-coordinate of second point

x₁ = x-coordinate of point one

The slope m = ( y₂ - y₁ ) / ( x₂ - x₁ )

Given data ,

Let the equation of line be represented as A

Now , the value of A is

2x - y = -3 be equation (1)

Adding 3 on both sides of the equation , we get

2x - y + 3 = 0

Adding y on both sides of the equation , we get

y = 2x - 3

Now , equation of a line is expressed as y = mx + b where m is the slope and b is the y-intercept

Therefore , the value of A is 2x - 3 , where the slope is m = 2

Hence , the equation of line is y = 2x - 3

To learn more about equation of line click :

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Answer 2

Final answer:

To convert the equation 2x-y=-3 into slope-intercept form, y must be isolated. The steps involve rearranging the equation to solve for y, resulting in the slope-intercept form y = 2x + 3, where the slope (m) is 2 and the y-intercept (b) is 3.

Explanation:

To convert the equation 2x-y=-3 into slope-intercept form, we need to solve for y. The slope-intercept form of a linear equation is y = mx + b, where m represents the slope, and b represents the y-intercept.

Let's solve for y:

Start with the original equation: 2x - y = -3.Add y to both sides: 2x = y - 3.Next, add 3 to both sides to isolate y: 2x + 3 = y.The equation is now in slope-intercept form, with m = 2 and b = 3, which is y = 2x + 3.

Therefore, the equation 2x - y = -3 in slope-intercept form is y = 2x + 3.

Related Questions

Help on both 5 and 6 please.

Answers

5] The resultant vector will be:
<-6,5> and <6,-5>
=<(-6+6),(5-5)>
=<0,0>
the resultant vector is <0,0>

6] The value of x will be found as follows
tan θ=(opposite)/(adjacent)
θ=20°
hence:
tan 20=x/15
x=15tan20
x=5.4595~5.5 yd

Question 5.
To get the resultant of two vectors we add the two vectors given.
In this case, <-6,5> and <6,-5>
Therefore, <(-6+6), (5+-5)>
= <0,0>

Question 6
The appropriate trigonometric ratio to use in the question is tan
Tan θ = opposite/ adjacent
θ is 70 degrees ( 90-20)
Opposite is 15 yd
Adjacent is x
Therefore;
Tan 70 = 15/x
x = 15/tan 70
x = 5.45955
≈ 5.5 yd
Thus, the value of x (nearest tenth) is 5.5 yd

For the figures shown, HJKL ~ QRST . The scale factor applied to HJKL to create QRST is 8 to 7. What is RS? A. 74 B. 72 C. 64 D. 49

Answers

The length of RS is 64 units. Therefore, the correct answer is C. 64.

Since HJKL is similar to QRST, corresponding sides of the two figures are proportional.

Given that the scale factor applied to HJKL to create QRST is 8 to 7, this means that the ratio of corresponding sides of HJKL to QRST is 8:7.

Let's denote the length of RS as x.

According to the scale factor, the ratio of corresponding sides RS and HJ is 8:7. So, we can set up the following proportion:

[tex]\[\frac{RS}{HJ} = \frac{8}{7}\][/tex]

Given that HJ is 56 units (since 8 times the length of HJ), we can solve for RS:

[tex]\[x = \frac{8}{7} \times 56\][/tex]

[tex]\[x = \frac{448}{7}\][/tex]

[tex]\[x = 64\][/tex]

Therefore, RS is 64 units.

So, the correct answer is C. 64.

Find the area and perimeter for rectangle with the lengths and widths l = 5 units, w= 6 units

Answers

Area = l×w = 5×6 = 30 units²
Perimeter = 2(l+w) = 2(5+6) = 22 units

2(l+w)
2(5+6)
=22 is your perimeter
area = l*b
= 5*6
=30

In a study, researchers found that for every 3 people who preferred brand A toothpaste 1 person preferred brand B toothpaste. Which ratio describes the results of the study?

A. 1:3

B. 1:4

C. 3:1

D. 4:1

Answers

It would be
C. 3:1
Because it’s three to one

What is a pair of fractions as a pair of fractions with a common denominator of 1/3 and 3/4

Answers

4/12 for 1/3 and 9/12 for 3/4

What’s the surface area of this tent? Show all work and write your answer below.

Answers

The up and down rectangles have an area of 6 * 4 = 24 ft^2
There are 2 of them so area = 2*24 = 48.square feet.

There is 1 floor which has an area of 4*6 = 24 square feet

The area of one of hte triangles is 1/2 4 *3.46 = 6.92
Again, there are 2 of them so the total area for the triangles is 13.84

The total area is 48 + 24 + 13.84 = 85.84 square feet.

Which is an equation of a circle with center (−10, 6) and radius 8?

Answers

My guess is (x+10)^2+(y-6)^2=64.

Tell whether each statement is true or false. Then explain your resoning. In m+8 =12, the variable m can have any value and be a solution. please answer qiuk

Answers

M has only one solution... 4
to make sure that m has any other solution take 12 and minus it from 8.
You can only get 4 and 4 only

4 because 8+4 is 12 and 12-8 is 4

Which symbol makes the number sentence true?

5 + (20 _?_ 4) = 10
A) +
B) -
C) x
D) ÷

Answers

I'm pretty sure it's D, cause 20÷ 4 is 5 and 5+5 is 10

its d so i really hope this help

What is 136 sq km divided by 8 km?

Answers

Answer:

[tex]136 \: {km}^{2} \div 8 \: km = 17 \: km[/tex]

1. The net of the 3D shape below are the blueprints of a tent that’s going to be made. Use this to answer questions (a) and (b) below.

(A) What’s the name of the 3D shape this net represents? (For example, square prism, rectangular prism, triangular prism, cube, rectangular pyramid, triangular pyramid, square pyramid…). Write your answer below

(b) What’s the surface area of this tent? Show all work and write your answer below.
thank you I know it is a lot of question but thank you

Answers

A
The prism is a triangular prism.

B
I just finished doing this question. You can look at the work there.
https://brainly.com/question/8892095

Sean is making picture frames. each frame uses 4/5 yard of wood. what is the total length of wood Sean will need to make 12 frames.

Answers

Sean will need 9.6 yards of wood.

Visiting team: 20% of supporting visiting team

Home team: 80% of supporting home team

If the total number of people attending the game was 64,000, how many people were supporters of the home team?

A.)12,800

B.)38,400

C.)48,000

D.)51,200

Answers

64000× 0.80 =51,200

Answer: D.)51,200

Step-by-step explanation:

Hi, to answer this question we have to multiply the number of attendants (64,000) by the percentage amount of supporting home team (80/100)

64,000 x (80/100) = 51,200

51,200 people were supporters of the home team.

The correct option is D).

Feel free to ask for more if needed or if you did not understand something.

Work the following pricing problems for services rendered. (For all calculations use hundredths.) Labor time = 6 1/2 hours Overhead rate = 55% Retail price of parts = $114.70 Total cost of job = $231.08 What is hourly rate for labor? 11.55 27.75 32.55 137.64

Answers

Total cost of job=$231.08
Labor time= 6 1/2 = 6.5 hours
Overhead=55%
Retail price of parts=$114.70
Find the total cost of labor.
Total cost of labor= 231.08 - 114.70=$116.38
Now labor rate per hour ( with overhead)= 116.38 /6.5 =$17.90 per hour.

Now labor rate (without overhead) = 17.90/(1+55%) = 17.90/1.55 =$11.55

Answer: $11.55

Answer:

11.55

Step-by-step explanation:

Need help with number 11 please, thanks.

Answers

The answer is H(3.5)

To find how many miles Dante runs each day, you need to find out how much he runs in one day.

35/10 = x/1 Divide 10 on both sides.
3.5/1

So, Dante runs 3.5 miles each day.

a baseball coach uses a pitching machine to simulate pop flies during practice. the quadratic function f(x)=-16x^2+70x+10 models the height in feet of a baseball after x seconds. how long is the baseball in the air if the ball is not caught?

Answers

Final answer:

Using the quadratic equation f(x) = -16[tex]x^2[/tex] + 70x + 10, which models the height of the baseball, we apply the quadratic formula to find that the ball is in the air for approximately 4.438 seconds before it lands back on the ground if not caught.

Explanation:

The student asks how long a baseball remains in the air during practice using a quadratic equation that models the height of the baseball after a certain number of seconds. The equation provided is f(x) = -16[tex]x^2[/tex] + 70x + 10, which models the height in feet of the baseball after x seconds. To determine the time the baseball is in the air, we need to find when the ball returns to the ground level (when f(x) = 0).

We can solve this quadratic equation using the quadratic formula: x = (-b ± [tex]\sqrt{(b^2 - 4ac)) / (2a)}[/tex], where a is -16, b is 70, and c is 10. Plugging in these values, we get two solutions for t (time), and we choose the positive time value at which the height becomes zero again, indicating that the ball has landed back on the ground.

The use of the quadratic formula yields t = 4.438 seconds and t = -0.138 seconds. We discard the negative time value as it is not physically relevant to the problem, and thus the baseball is in the air for approximately 4.438 seconds before it lands back on the ground if it's not caught.

Choose two or more answers that apply.
The figure is created by hollowing a cone shape out of a cylinder. Select all of the statements that are true about this figure.

A. The exact volume is 432π ft3.

B. The volume of the cylinder is twice the volume of the cone.

C. The approximate volume is 1356 ft3.

D. The volume of the cone is three times the volume of the cylinder.

E. The volume of the figure is 2/3 the volume of the cylinder.

Answers

it just asking how much can fit into the cone like
volume
so v=bh

pls help show steps pls

Answers

1st equation: 5x + 60y =35

2nd equation: x + y = 1.5 r
3rd equation: rewrite 2nd equation as : x =1.5-y)

replace x in first equation with 3rd equation:

5(1.5-y) + 60y = 35

now solve for y:
7.5 - 5y + 60y = 35
7.5 + 55y = 35
55y = 27.5
y = 27.5 / 55 = 0.5

now replace Y with 0.5 in the 2nd equation and solve for x

x +0.5 = 1.5

x = 1.5-0.5
x = 1

5x = 5(1) = 5 miles walked

5X + 60Y = 35
X + Y = 1.5
Ok so this is known as a system of equations. The x variable in the first equation is the same as the x in the second equation, as is the y.
So in order to solve this, let's solve for one of the variables in the second equation. It doesn't matter which so lets just pick the variable y.
So
X + Y = 1.5
Subtract X from both sides
Y = -X + 1.5
Voila! You have a variable for y. Now you can substitute you value of y into the other equation.
5X + 60(-X + 1.5) = 35
Now do you see how we only have one variable to solve for in the equation? Solve this equation and you have the value of x.
5X - 60X + 90 = 35
-55X = -55
X = 1
Hah! We have a value for X! But what is the value of y? In ordering to find the value of y you need to take a previous equation and substitute the value that we found for x into the equation. Let's take the easiest equation shall we?
X + Y = 1.5
X = 1
1 + Y = 1.5
Y = 0.5
And there we are! The values we were in search of across the dry deserts and cold, salty waters. Eww salty water. What was I talking about? Sorry I'm ADHD.
X = 1
Y = 0.5

Exponential form please of (9x10x10)(9x100)

Answers

[tex] {9}^{2} [/tex]
HOPE THIS IS RIGHT!!

HOPE THIS HELPS!!!

Tracy is making blueberry muffins.she is using 4/4 cup of honey and 4/2 of floyr.Does Tracy use more honey or more flour?

Answers

Tracy uses more Flour because 4/4 is 1 cup and 4/2 is 2 cups.

5g of margarine contains 3.6g of fat.

How many grams of fat are there in 92g of Margarine?

Answers

Hey there! :D

Find the unit rate.

3.6/5= 0.72

Multiply that by 92.

0.72*92= 66.24

There are 66.24 grams of fat in 92g of Margarine.

I hope this helps!
~kaikers

Lets get started :)

We can use the concept of ratios

5g of margarine : 3.6g fats
92g of margarine : ?

We can cross multiply, which is an easier solution

Let us use the variable p to represent the grams of fats to be found

5 x p = 3.6 x 92
5p = 331.2

We, now, can divide by 5 on either sides so we can isolate and find the value of p

[tex] \frac{5p}{5} = \frac{331.2}{5} [/tex]
5 and 5 cancels out

p = 66.24

So, 92g of margarine will contain 66.24g of fats

a person walking along a straight road observes that at two consecutive kilometer stones, the angles of elevation of a hill in front of him are 30degree and 45 degree find the height of the hill

Answers

First, you need to draw the situation: you have three points on a straight line, A is the first kilometer stone, B is the second one and C is the foot of the hill. Let's call H the top of the hill. Connecting H with both A and B you get two triangles rectangle (BCH and ACH).

The triangle rectangle BCH has one other angle that is 45°, which means that it is an isosceles triangle, therefore BC = HC = height of the hill (h).

Now, consider the triangle ACH: it has an angle of 30° (which means that the other angle is 60°) and AC = BC + AB = h + 1 (where we considered h measured in km).
In such a particular triangle (30°- 60°- 90°), the ratio between the long and the short leg is √3, which means that:
√3·HC = AC

We can then write:
√3·h = (h + 1)

which can be solve for h:
√3·h - h = 1
h(√3 - 1) = 1
h =1/ (√3 - 1)

We can rationalize:
h =  [tex] \frac{1}{ \sqrt{3} - 1} \frac{ \sqrt{3} + 1}{ \sqrt{3} + 1 } [/tex]
   = (√3 + 1) / 2
   = 1.366 km

Therefore the correct answer is: the hill is 1.366km high

What is probability of rolling a prime number cube with sides labeled 1-6

Answers

The answer is most likely 3/6 or 1/2 because 2,3,5 are the only prime numbers on a dice or cube and that’s 3 our of the total 6 .

Final answer:

The probability of rolling a prime number on a six-sided die is 1/2 or 50%, since there are three prime numbers (2, 3, 5) out of six possible outcomes.

Explanation:

The probability of rolling a prime number on a six-sided cube labeled with the numbers 1 through 6 can be determined by identifying which numbers on the cube are prime. Prime numbers are numbers that are only divisible by 1 and themselves. On a six-sided die, the prime numbers are 2, 3, and 5.

Since there are 6 faces on the die, the total number of possible outcomes when you roll it once is 6. The event of rolling a prime number includes three outcomes: rolling a 2, rolling a 3, or rolling a 5. So, the probability, P, of rolling a prime number is determined by dividing the number of favorable outcomes (rolling a 2, 3, or 5) by the total number of possible outcomes.

The calculation for the probability is therefore P(Prime) = Number of prime faces / Total number of faces = 3/6. This simplifies to 1/2, which means that the probability of rolling a prime number is 1/2, or 50%.

We can conclude that if you roll the die only a few times, the law of large numbers may not hold, and the experimental probability may not closely align with the theoretical probability of 1/2, but over many rolls, it would generally converge to this value.

In a bag of marbles, 12% were red, 14% were blue, and the rest were white. If the bag has 250 marbles, how many were red or blue

Answers

30 red, 35 blue, and 185 white. your welcome. please mark me as brainliest

Hello!

We've been given enough information to solve this question! We know that there are a total of 250 marbles in the bag, and that 12% are blue and 14% are red, and the rest are white.

To calculate how many marbles are red and blue, we must first convert the percentages to decimals by dividing them by 100, and then we'll multiply the decimals by 250 marbles.

I know, that's probably a lot to take in! :D

12% ÷ 100 = 0.12

0.12 × 250 = 30

This means that 30 marbles were red.

14% ÷ 100 = 0.14

0.14 × 250 = 35

This means that 35 marbles were blue.

Final Answer:

30 marbles were red, 35 marbles were blue, and the rest were white.

Good Day!

In parallelogram ABCD, m∠A = 24°. What are the measures of angles B, C, and D? Justify. please help

Answers

parallelogram has 2 pairs of angles as well as a sum angle of 360
therefore, another angle is also 24°and the other two are 360-24*2=312. 312/2=156

four angles are 24,24,156,156

The sum of the angles in a parallelogram is 360°.

a+b+c+d=360°

The opposite angles in the parallelogram are congruent.

a=c

b=d

So if a=24°... and we know a=c, then c=24°.

a=24

c=24

b=?

d=?

a+b+c+d=360°
plug in the data we know
24+b+24+d=360
48+b+d=360
b+d=312

If b+d=312, and we know that they are congruent, then to find their values just divide 312 by 2

312/2=156°

b=156°

d=156°

The perimeter of a rectangular banner is 72 inches. The width of the banner is 1/3 its length. What is the area of the banner? The first one with a good answer will be count as the brainlist. Please help

Answers

To find the area you will need to begin with the information about the perimeter. You will use the formula P = 2l + 2w. You will replace what we know in this formula making it 72 = 2l + 2 (1/3l). You will replace the width with the information we know about the width. Simplify the expression on the right to make a new equation 72 = 2 2/3 l. Solve for the length by dividing both sides by 2 2/3. When you divide 72 by 2 2/3 you get 27 inches as your answer. This is the length. Once you know the length, you can take 1/3 of it (1/3 x 27) to get the width of 9 in. Now that you know the length and the width, you will multiply these together (27 in. x 9 in) to get an area of 243 square inches!

Final answer:

To find the area of the banner with a given perimeter of 72 inches and a width that is 1/3 its length, we first determine the length to be 27 inches and the width to be 9 inches, leading to an area of 243 square inches.

Explanation:

To solve the problem, let's denote the length of the rectangular banner as L inches and the width as W inches. We're given that the perimeter is 72 inches and that the width is 1/3 its length, hence W = 1/3 * L. The formula for the perimeter of a rectangle is 2L + 2W = 72.

Substituting the value of W in terms of L into the perimeter equation gives 2L + 2(1/3 * L) = 72. Simplifying this equation: 2L + 2/3L = 72, or (6/3)L + (2/3)L = 72, which simplifies to (8/3)L = 72. By solving this equation, we find that L = 27 inches. Therefore, W = 1/3 * 27 = 9 inches.

Finally, the area of the rectangle, which is Length × Width, can now be calculated as 27 inches × 9 inches = 243 square inches.

solve the equation for x 6x + 1 - 4x = 2+ x + 4

Answers

first simplify all of the numbers with common variables (or those without)

6x - 4x + 1 = 2 + x + 4

2x + 1 = x + 6

subtract x from both sides to move x to one side

2x (-x) + 1 = x (-x) + 6

x + 1 = 6

subtract 1 from both sides to isolate the x

x + 1 (-1) = 6 (-1)

x = 6 - 1

x = 5

5 is your answer for x

hope this helps

Kim paycheck was $257.20. She put 1/4 of her paycheck into a savings account and used 1/3 of what was left to pay bills. How much money does she have remaining from her paycheck

Answers

Hello!

Let's divide Kim's paycheck by 4 to calculate how much she put in her savings account, and then subtract that from the paycheck.

257.20 ÷ 4 = 64.30

257.20 - 64.30 = 192.9

Now, divide this by 3 and then subtract the money she used to pay her bills to find how much money Kim has left.

192.9 ÷ 3 = 64.30

192.9 - 64.30 = 128.6

A N S W E R:

Kim has $128.60 remaining from her paycheck.

Which could be the function graphed below?
A. f(x)=√x-2
B. f(x)=√x-3+1
C. f(x)=√2x+4
D. f(x)=√x+1+8

Answers

using a graph tool
see the figure attached

the answer is the option A
y=√{x}-2

Say f(x) = y.

Consider option A.

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

[tex]y+2=\sqrt{x}[/tex]

Squaring, we get,

[tex](y+2)^{2} =x[/tex]

Clearly, the above equation represents a parabola (open right) with vertex at (0, -2).

We can easily notice that this function is graphed.

Use the parabola tool to graph the quadratic function f(x)=−12x2+7. Graph the parabola by first plotting its vertex and then plotting a second point on the parabola.

Answers

First we find the vertex of parabola [tex]f(x)=-12 x^{2} +7[/tex]

The vertex of parabola is [tex]( \frac{-b}{2a},f( \frac{-b}{2a})) [/tex]
Here,
b = coefficient of x term
a = coefficient of x² term

For given parabola, b = 0 , a = -12

So,
[tex] \frac{-b}{2a}= \frac{0}{-24} =0 [/tex]

And,

[tex]f( \frac{-b}{2a} )=f(0) = -12(0)+7=7[/tex]

Thus the vertex of parabola is (0, 7)

To find another point on parabola, substitute x by 1.

[tex]f(1)=-12( 1^{2}) +7=-12+7=-5[/tex]

So the second point on parabola is (1,-5)

The plot of parabola is shown in image below:

Here are a bunch of CORRECT answers, your answer is somewhere in there. For the first CORRECT answer the second point is -5,-9. Don't make the same mistake I did on question 3, but it still shows the correct answer. I love to help.

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