Can u guys PLEASE answer this question ASAP. The line l has equation y=3x+5
1)what is the y intercept
2)what is the gradient
3)find the equation of the line that has the same y intercept as l but has a gradient of 1/2
4) find the equation of the line that has the same equation as l but has a y intercept of -2

Answer:

67

Step - Step - Explanation

Answer:

m = -1/3

Step-by-step explanation:

First, write the equation in slope-intercept form:

3y = 10 - x

y = 10/3 - x/3

y = 10/3 - 1/3x

Since our slope is the coefficient of the x term, our slope is -1/3.

Answer:

AB =√( (13 - 5)² + (13-12)²) = √(8² + 1²) = √65

BC = √( (13 - 11)² + (13-5)²) = √(2² + 8²) = √68

AC =√( (11 - 5)² + (5-12)²) = √(6² + 7²) = √85

AB ≠ BC ≠ AC ∴ ABC is Scalene

Step-by-step explanation:

A scalene triangle is a triangle in which all the sides are different lengths.

In order to prove that ABC is scalene, we need to calculate the sidelengths and show them to be different.

The line between points A(x₁, y₁) and B(x₂, y₂) can be denoted AB.

the difference in x-coordinate is x₂ - x₁, and the difference in y-coordinates is y₂ - y₁.

this forms a triangle of length x₂ - x₁ and height y₂ - y₁ and the hypotenuse AB can be calculated using pythagoras' theorem:

AB = √((x₂ - x₁)² +(y₂ - y₁)²)

The triangle ABC with vertices A(5, 12) B(13, 13) and C (11,5) is a scalene triangle.

A triangle is a three-sided polygon that consists of three edges and three vertices.

The given three vertices of triangle ABC are A(5, 12) B(13, 13) and C (11,5).

We know that in a scalene triangle all the three sides lengths are different.

Let us find distance of AB,BC, CA

Distance=√(x₂-x₁)²+(y₂-y₁)²

A(5,12), B(13, 13)

AB=√(13-5)²+(13-12)²

=√8²+1²=√64+1=√65

B(13, 13) C (11,5).

BC=√(11-13)²+(5-13)²

=√4+64=√68

C (11,5).A(5,12),

CA=√(5-11)²+(12-5)²

=√(-6)²+(7)²

=√36+49=√85

The lengths of triangle ABC are different so the triangle is Scalene.

Hence the triangle ABC with vertices A(5, 12) B(13, 13) and C (11,5) is a scalene triangle.

To learn more on Triangles click:

https://brainly.com/question/2773823

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Answer:

5

Step-by-step explanation:

if u substitute the x's then u can see that it makes sense

ex. 5(1)+5 = 10 true

ex. 5(5)=5 = 30 true

hope this helps

Answer:

Here are some rational numbers less than 5:

4, 4.2, -3, 0, 1/10, -5/16

A rational number is a number than can be written as a fraction of integers.

Answer:

rational numbers below 5 are 4,3,2,1,-1,-2,-3,-4 e.t.c

Answer:

D.   22.5 sq. un.

Step-by-step explanation:

W divides BU so that there is a ratio of 1;2 meaning that there are 3 parts.

That means that 3 parts is BUV; we know that one of those parts is 4.5 sq. un. so 4.5*3=13.5 sq. un.  - Also 4.5*2=9 to get WUV

V is the midpoint of the line BS so that means that BUV and UVS are equal

we know that BUV is 13.5 so we multiply that by 2 to get the whole triangle

=27

The last step is to get rid of BVW which we know is 4.5

27-4.5=22.5

Answer:

C.  

Step-by-step explanation:

5/8 = 20/32

20/32 ÷ 2 = 10/16

10/16 ÷ 2 = 5/8

Answer:

C

Step-by-step explanation:

You can see that both of the numbers are being multiplied by 4/4 which gives you a proportional relationship unlike the other answers there.

Answer:

x+2

Step-by-step explanation:

write the problem out and then understand

Answer:

The chemical element loses 4% of its weight everyday

Step-by-step explanation:

Here, we are interested in knowing the percentage weight loss of the chemical each day.

The key to answering this is looking at the expression inside the bracket.

We can express M(t) = 169•(0.96)^t as

M(t) = 169•(1-0.04)^t

So what this means is that we need to find the percentage value corresponding to 0.04 since it is a constant term here

Mathematically, 0.04 is same as 4/100, so we can clearly say that the constant percentage loss is 4%

Answer:

0.96

Step-by-step explanation:

The exponential function modeling the mass of the sample is of the form M(t)=A⋅Bt. Therefore, AAA determines the initial mass of the sample (when Clemence began studying it) and BBB determines the daily change in the mass of the sample.

The mass of the sample is multiplied by \it{0.96}0.960, point, 96 every day. Since 0.96<10.96<10, point, 96, is less than, 1, the mass of the sample shrinks by a factor of 0.960.960, point, 96 every day.

Every day, the mass of the sample shrinks by a factor of 0.960.960, point, 96.

Answer:

3.5

Step-by-step explanation:

63 divided by 18 is 3.5

35 divided by 10 is 3.5

Answer:

$24

Step-by-step explanation:

Let the full price of $30 be 100%.

If the discount allowed is 20%, then the percentage of the original price that a customer will pay is:

[tex]P=100\%-20\%\\P=80\%[/tex]

80% of a marked price of $30 is:

[tex]80\%*\$30\\\$24[/tex]

A customer will pay $24.

Answer:

864

Step-by-step explanation:

512÷8=64

108÷8=13.5

64×13.5=864

Answer:

b) 864 squares

Step-by-step explanation:

A(rectangle) = 512cm x 108cm = 55296 cm²

A(square) = 8cm x 8cm = 64 cm²

Ar/As = 55296cm²/64cm² = 864 squares

Answer:

3(3a+2b)

Step-by-step explanation:

9a+6b

3 times 3a=9a

3 times 2b=6b

Answer:

3(3a+2b)

Step-by-step explanation:

9a+6b

3²•a+(2.3)b

3(3²•a/3 +2•3b/3)

3(3²-¹ •a +2b)

3(3a+2b)

Answer:

The correct answer is B. 880

Step-by-step explanation:

220%=2.2

2.2(400)=880

Answer:

B. 880

Step-by-step explanation:

220% × 400

= 220/100 × 400

= 88000/100

= 880

.

this is answer ok? ok :) leleelellelelelelelelel

Answer:

KM = 15

Step-by-step explanation:

From the diagram, ΔJKL and ΔJKM are similar to each other because they share the same angle J and they are both right angle triangle. Therefore they are similar by AA property.

Since JL=25 and JM=5, JM = JL + JM= 25 + 5 = 30

Since ΔJKL and ΔJKM are similar to each other, therefore:

[tex]\frac{JK}{JL}=\frac{JM}{JK}\\ Substituting:\\\frac{JK}{30}=\frac{5}{JK}\\JK^2=150\\JK=\sqrt{150}\\ \\From\ hypotenuse:\\JK^2=JM^2+KM^2\\Substituting:\\(\sqrt{150} )^2=5^2+KM^2\\150=25+KM^2\\KM^2=150-25=125\\KM=\sqrt{125}\\ KM=15[/tex]

Answer:

(5, -3)

Step-by-step explanation:

(-16+x)/2 = -5.5 => x=5

(4+y)/2 = 0.5 => y=-3

Answer:

{3/2, 4}

Step-by-step explanation:

Set x - 4 = 0 and solve for x:  x = 4 is a solution.

Seet 2x - 3 = 0 and solve for x:  3/2 is another solution.

Answer:

using identity (a+b)(a-b) = a^2 -b^2

Answer:

В. 270°cw rotation about the origin

Step-by-step explanation:

We can rotate a total of 360 degrees in a circular pattern.

If we rotate x degrees in one direction, this rotation is equivalent to rotating (360 - x) in the other direction, because we would arrive in the same place.

So if we rotate 90 degrees in the counter clockwise direction, this is equivalent to rotating (360 - 90) = 270 degrees in the opposite direction, that is, in the clockwise direction.

So the correct option is B. -> 270°cw rotation about the origin.

Answer:

Step-by-step explanation:

Given the equation d/10 = 12. To get the value of d, the follwoing steps can be used to solve for the value of d;

Multiply both sides by 10

d/10 * 10 = 12*10

d = 120

It can be seen from the calculation above that multiplication operation was used to get the solution to the equation. It can therefore be concluded that the multiplication property of equality  was used to solve the equation.

Hey there! :)

Answer:

[tex]\frac{121}{9}[/tex]

Step-by-step explanation:

We can solve this by first converting -3 2/3 to an improper fraction:

[tex]-3\frac{2}{3} = \frac{-11}{3}[/tex]

Square the fraction:

[tex](\frac{-11}{3})^{2} = (\frac{-11}{3}) * (\frac{-11}{3}) = \frac{121}{9}[/tex]

Answer:

see below

Step-by-step explanation:

red triangle= 36/2= 18

orange circle= 45- 18= 27

blue square= 53- 27= 26

Step-by-step explanation:

red= 18

yellow= 27

blue= 26

Answer

Part 1

Step-by-step explanation:

T2=3(5)-12=3

T3=-3

T4=-21

T5=-75

Answer: about 5 hours and 3 min

Step-by-step explanation:

Answer:

about 8 hours and 7 minutes

Step-by-step explanation:

have 60 minutes divided by 20.3 minutes to find the correct ratio to find themph if the speed remained constant. It is about 2.95567 and using this number multiply to 21 to get the miles per hour. the speed is about 62.069 mph. then divide the 504 miles by the mph of the car to find how long it will take to get there. It is about 8 hours 7 minutes and 20 seconds give or take, or 8.12 hours.

Answer:

Step-by-step explanation:

[tex]\frac29x+3>4\frac59\\{}\quad-3\quad-3\\\\\frac29x\ >\ 1\frac59\\\div\frac29\quad \, \div\frac29\\\\x>1\frac59\div\frac29\\\\x>\frac{14}9\times\frac92\\\\x>\frac{7}1\times\frac11\\\\x>7[/tex]

That means every x wich is greater than 7

Answer:

x=45

Step-by-step explanation:

the sum of straight angle=180

2x+45+x=180

3x=180-45

3x=135

x=135/3=45

Answer:

45 degree

Step-by-step explanation:

Since it is an straight line it means all of the added angles together equal 180

2x+45+x=180

3x+45=180

3x=135

x=135/3

x=45

Answer:

Reflection.

Step-by-step explanation:

The reflection of the point (x,y) across  the x-axis is the point (x,-y).

The reflection of the point (x,y) across  the line y = x is the point (y, x).

Given the preimage (2,-3).

Therefore, the type of transformation that has occured is Reflection.

Answer:

FGH and BCD

it's obvious.

no common lines between them

Answer:

The answer is below

Step-by-step explanation:

A function shows relationship between variables usually between inputs (an independent variable) and outputs (a dependent variable).

C(F) = 5/9(F - 32) shows the relationship between C and F. C(F) is the temperature in degree Celsius for any temperature in Fahrenheit. This means that the function C(F) represents the conversion of temperature from Fahrenheit to degree Celsius.