find the equation of a straight line passing through the point (1,2) and making an intercept of 3 on the positive y-axis.​

Answers

Answer 1
Given: the points (1|2) and (0|3) lie on the line.

Question: equation of the line.

Solution:

General equation of a line: y = kx+d,

whereby:

the point (y|x) lies on the line
When x = 0, y = d
The point (0|3) says that d = 3.

So far, the equation is y = kx +3 ……… (1)

Inserting the point (1|2) into (1):

2 = k(1) + 3 => 2–3=k => -1 = k

Putting k into (1):

y = -1x + 3 => y = -x + 3 => y = 3 - x

Answer:

y = 3 - x

Related Questions

Which sets of side lengths could form a triangle?
A. 3 centimeters, 4 centimeters, 9 centimeters
B. 3 centimeters, 6 centimeters, 9 centimeters
C. 4 centimeters, 5 centimeters, 9 centimeters
D. 4 centimeters, 6 centimeters, 9 centimeters

Answers

Answer:

D. 4 centimeters, 6 centimeters, 9 centimeters

Step-by-step explanation:

Considering side length for forming a triangle, most of the time it is about Triangle Inequality Theorem, which for 3 sides length a,b,c, it must satisfy the following set of inequalities:  

[tex]a+b>c\\a+c>b\\b+c>a[/tex]

By checking each of them only D satisfy:

[tex]4+6=10>9\\6+9=15>4\\9+4=13>6[/tex]

For simplicity you only have to check if the two shortest sides add up to be larger than the longest side:

[tex]4+6>9[/tex]

Can someone help me. On number 10

Answers

Step-by-step explanation:

4 H (Hundreds)

5 T(tens)

9 ones

3x3= 9

50x3= 150

100x3= 300

add 300+150+9= 459

A rectangular prism has a base that is 1.5 meters by 2 meters, and the prism is 4 meters
high. What is the surface area of the prism?
A 28 m
C 12 m2
B 34 m2
D 31 m²

Answers

Answer:

The answer is C. 12 m2

Step-by-step explanation:

Hope this helps!! :) :) Please mark brainlliest.

The answer is C 12m2

Que es una ecuación cuadrática

Answers

Step-by-step explanation:

En álgebra, una ecuación cuadrática es cualquier ecuación que se puede reorganizar en forma estándar como ax ^ {2} + bx + c = 0 donde x representa una incógnita, y a, byc representan números conocidos, donde a ≠ 0. Si a = 0, entonces la ecuación es lineal, no cuadrática, ya que no hay término ax ^ 2.

Find the slope.

Bonus: Write the equation of the line.

Answers

Answer:

1 so y=1+b

Step-by-step explanation:

9514 1404 393

Answer:

slope: -1equation: y = -x +3

Step-by-step explanation:

The slope is the ratio of "rise" to "run". The "rise" is the vertical distance between two points; the "run" is the corresponding horizontal distance.

Here, we see point A is (0, 3) and point B is (1, 2). Then the "rise" is 2 -3 = -1, while the "run" is 1 - 0 = 1. The slope is the ratio ...

  m = rise/run = -1/1 = -1

The slope of the line is -1.

__

The point A is the y-intercept, where the line crosses the y-axis. It tells us the value of y is 3 when x=0. So, we can write the equation in slope-intercept form as ...

  y = mx + b . . . . . where m is the slope (-1) and b is the y-intercept (+3)

  y = -x +3

How many terms are in the expression
3x + 2y + Z
4
2
3
5

Answers

Answer:

3

Step-by-step explanation:

Answer:

3

Step-by-step explanation:

Terms are chunks of number separated by signs, so basically how many numbers are separated by sign? The answer is 3

1. 3x

2. 2y

3. Z

venice cycled for 8.45pm to 2.15am how long did she cycle for

Answers

Step-by-step explanation:

We split the duration into 2 smaller intervals.

8:45p.m. to midnight = 3 hours and 15 minMidnight to 2:15a.m. = 2 hours and 15 min

Hence the total duration is 5 hours and 30 min.

In AHIJ, the measure of ZJ=90°, HI = 65 feet, and IJ = 31 feet. Find the measure of
H to the nearest tenth of a degree.
I
65
31
J
H

Answers

Answer:

14

Step-by-step explanation:

Dz

Answer:

H=28.4846≈28.5  

Step-by-step explanation:

SOH-CAH-TOA

sinH= opposite/hypotenuse=31/65

sinH=31/65

H=28.4846≈28.5      Type into calculator and round to the nearest tenth of a degree.

28.5

what’s four times a number (algebra wise)

Answers

Answer:

4x

Step-by-step explanation:

what is the solution to the equation sqrt 2x+3- sqrt x+2=2

Answers

Answer:

x= 23

Step-by-step explanation:

The correct answer on edge is 23

can you all please help me with a and b ​

Answers

Answer:

Step-by-step explanation:

a.

area of one face=3²=9 units²

b.

whole surface area=6×3²=6×9=54 units²

(3.5 x 10^5) : (7x10^8)
What is the answer to this question?

: is divide

Answers

Answer:

5 • 10^-4 I evaluate this by using scientific notation.

The value of the ratio  (3.5 x 10⁵) : (7x10⁸)  is 0.0005.

What are expressions?

An expression is a sentence with at least two numbers or variables having mathematical operation. Maths operations can be addition, subtraction, multiplication, division.

For example, 2x+3

To solve (3.5 x 10⁵) : (7x10⁸), we can simplify the expression by dividing the numerical coefficients and dividing the exponents separately.

Dividing the numerical coefficients 3.5 and 7, we get:

3.5 ÷ 7 = 0.5

Dividing the exponents 5 and 8, we get:

10⁵ ÷ 10⁸ = 10⁵⁻⁸

              = 10⁻³

Therefore, the simplified expression is:

0.5 x 10⁻³

We can further simplify this expression by converting 10⁻³ to a decimal:

10⁻³ = 1/1000 = 0.001

So, the final answer is:

(3.5 x 10⁵) : (7x10⁸) = 0.5 x 10⁻³

                              = 0.5 x 0.001

                              = 0.0005

To know more about Expressions check:

brainly.com/question/16804733

#SPJ2

Where could point E be located on the coordinate plane? I’ll mark you as brainliest! Quadrant one, or Quadrant two, or Quadrant three or , Quadrant four , or Y axis, or X axis?

Answers

Answer:

Quadrant II and III

Step-by-step explanation:

Given

Point E

[tex]x < 0[/tex] i.e. negative x

and

[tex]y \ne 0[/tex]

Required: Determine the possible quadrant(s) of E

[tex]y \ne 0[/tex]. means that point E belongs to at least 1 quadrant. So, x-axis and y-axis are ruled out

Solving further:

[tex]x < 0[/tex]

The two quadrants where the x coordinates is negative are II and III.

Hence, point E belongs to quadrants II or quadrants III

Identify the diameter of circle A

AB
AS
BT
TS

Answers

[tex]\mathfrak{\huge{\orange{\underline{\underline{AnSwEr:-}}}}}[/tex]

Actually Welcome to the Concept of the Circles.

Since we know that, diameter is always twice of radius, and also one important point that,

A diameter is the longest chord of the circle passing from the centre of the circle, hence here,

BT is the diameter of the circle,

option c.) BT

Answer:

BT

Step-by-step explanation:

This is because a line which passes through the centre of a circle and falls on the circumference is called the diameter.

What is 62 1/2% of 10?

Answers

Answer:

6.25%

Step-by-step explanation:

10 x .625 = 6.25 this is the answer

How to write and graph at least 10 on a number line as a inequality ​

Answers

Answer:

x≥10

draw a number line, plot 10, put a dot on top of 10 and draw an arrow from the dot all the way to right

Step-by-step explanation:

Cam walked 4 units down and 8 units left to reach the origin. What is the ordered pair of his starting point?

Answers

answer is (4,8) or (-8,4)

Given f(x) = -3x + 1 and g(x) = 4*, find the following combinations:
g(x)-f(x)
g(x) •f(x)
f(x)
8(x)

Answers

Step-by-step explanation:

Please refer to the attachment

What is y if x is 0?

Answers

Answer: is there a picture or something i can see to help you?

No pictures ? I don’t know

Jessica earned $14 by baby sitting 4 hours
What's Jessica rate and Jessica's Unit Rate?

Answers

Answer:

$3.50

Step-by-step explanation:

14 ÷ 4 = 3.5

good luck, i hope this helps :)

Fine floors can install 15 square yards of carpeting in 4 hours and 30 minutes. At this rate, how long would it take to install carpet in a room that measures 11 feet 9 inches by 13 feet 4 inches?​

Answers

Answer:

5 hours and 13 minutes

Step-by-step explanation:

Hope this helps!! Please mark brainlliest.

5 hrs and 13 minutes

DONT ANSWER IF YOU DONT KNOW THE ANSWER

Simplify each expression
mc0011

mc0012

mc0013

mc0014

mc0015

Answers

Answer:

A

Step-by-step explanation:

A is the answer for the first question I did the math on edge

The second one after is B

We are Simplifying Rational Expressions with Negative Exponents

Answer:

A.) Afriv

Step-by-step explanation:

Heat oven to 350°F. Generously grease 12-cup fluted tube pan with shortening or cooking spray. In large 1-gallon plastic food storage bag, mix granulated sugar and cinnamon.

2

Separate dough into 16 biscuits; cut each into quarters. Shake in bag to coat. Arrange in pan, adding walnuts and raisins among the biscuit pieces. Sprinkle any remaining sugar over biscuits.

3

In small bowl, mix brown sugar and butter; pour over biscuit pieces.

4

Bake 30 to 40 minutes or until golden brown and no longer doughy in center. Loosen edges of pan with metal spatula. Cool in pan 5 minutes. Turn upside down onto serving plate; replacing any biscuit pieces and caramel from pan. Pull apart to serve. Serve warm.

i need the answer asap

Answers

Step-by-step explanation:

A (-3 , 4) and C ( 2 , -6 ) and ratio of AB : AC is 4:5

now , let AB be 4x and AC be 5x such that

AC = AB + BC

AC - AB = BC

5x - 4x = BC

x = BC

ratio of AB : BC = 4:1

by using section formula

( mx2 + nx1 / m+n , my2 + ny1 / m+n )

where m = 4 and n = 1

B = ( 4×2 + 1×-3 / 4+1. ,. 4× -6. + 1× 4 / 4+1 )

B = ( 8 -3 / 5. ,. -24 + 4 / 5)

B = ( 5/5. ,. -20/5 )

B = ( 1. , -4 )

In AGHI, the measure of ZI=90°, HI = 1.1 feet, and IG = 7.5 feet. Find the measure of
ZG to the nearest tenth of a degree.

Answers

Answer: 8.3

Step-by-step explanation:

find the length of the missing side​

Answers

Answer:

Choice D

Step-by-step explanation:

4^2 + 6^2 = c^2
52 = c^2
sqrt52 = c
a is the correct answer

you can perform 10 push ups in 25 seconds. write an equation that represents the relationship between time x and the number of pushups y.

Answers

The number of push-ups will be zero for zero seconds. Then the equation will be y = 0.4x.

What is the linear system?

A linear system is one in which the parameter in the equation has a degree of one. It might have one, two, or even more variables.

You can perform 10 push-ups in 25 seconds.

Then the equation represents the relationship between time x and the number of pushups y will be

The number of push-ups will be zero for zero seconds.

Then we have

y - 0 = [10/25] (x - 0)

    y = 0.4x

More about the linear system link is given below.

https://brainly.com/question/20379472

#SPJ2

1 ÷ 8, or 1/8, is 0.125

Answers

Answer:

both

Step-by-step explanation:

Answer:

true! :)

Step-by-step explanation:

Renee bought 6 tickets to a football game. She paid a total of $216.

Answers

Answer:

1 ticket =$36

Step-by-step explanation:

216÷6= $36

Answer:

36

Step-by-step explanation:

Divide 216 by 6 to get the total amount per ticket

Put the equation into this form

Answers

Answer:

y=x(x-2)-8

Step-by-step explanation:

hope this helps :)

Tony has a bucket filled with 10 green, 3 blue, 1 red, and 7 yellow tennis balls. He removes 4 tennis balls from the bucket without replacing them.

Which of the following outcomes could represent the tennis balls Tony selected?

(A) All of the tennis balls are blue.

(B) There is 1 tennis ball of each color.

(C) There are exactly 3 green tennis balls.

(D) There are more red tennis balls removed than other colors.

(E) The number of red tennis balls is the same as the number of blue tennis balls.

Answers

B is the right answer

Answer:

b

Step-by-step explanation:

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