Equation of a line is y = 2x + 5

a) what is the gradient?

b)what is y- intercepted?

c) if the gradient is -3 and y-intercept is 1,then what is the equation of the line?

i hope you guys didn't have to suffer thru the rest like I did c,:

here is THE REST OF THE ANSWERS!

Step-by-step explanation:

THE ENTIRE PICTURE ABOVE IS CORRECT, BUT AFTER THAT THE NEXT ANSWERS ARE.....

8. angle LNO is congruent to angle NLM because of CPCTC

9. segment ON is parallel to segment LM because of converse of the alt. int. angles theorem

10. segment LO is parallel to segment MN because of converse of the alt. int. angles theorem

11. LMNO is a parallelogram because of the def. of a parallelogram

I just did all of these on edg. 2022 and they're correct. have a great day/night you guys and good luck!

We will use the converse of alternate interior angles theorem  to prove LMNO is a Parallelogram.

A parallelogram is a simple quadrilateral with two pairs of parallel sides. The opposite or facing sides of a parallelogram are of equal length, and the opposite angles of a parallelogram are of equal measure.  

The proof is as follows:

Statements                                                   Reasons

1) LO ≅ MN                                                        Given

2) ON ≅ LM                                                       Given

3) LN ≅ LN                                                     Reflexive property

4) Δ LON ≅ Δ NML                                       SSS congruency rule

5) ∠ NLO ≅ ∠ LNM                                         CPCTC

and ∠ MLN ≅ ∠ LNO              

6) LM ║ ON and LO ║ MN   converse of alternate interior angles theorem

7) LMNO is a Parallelogram                  Property of Parallelogram  

For more references on Parallelogram, click;

https://brainly.com/question/29147156

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Answer:

[tex]x=68[/tex]

Step-by-step explanation:

In the figure, we shown all four exterior angles of the polygon. The sum of the exterior angles of any polygon is equal to [tex]360^{\circ}[/tex].

Therefore, we have:

[tex]79+(x+10)+(x-1)+(2x)=360,\\79+x+10+x-1+2x=360,\\88+4x=360,\\4x=272,\\x=\boxed{68}[/tex]

Answer:

.............soooooooooooooooerrrrrrrrrrrrryyyyyyyyyyyyyyy.......... iiiiiiiii........ doooooooonnnnnnnnntttttttt......... kkkknnnnnooooowwww

Answer:

its either B or D.

Step-by-step explanation:

could you mark me brainliest pls or even hit the thanks button

Answer:

Step-by-step explanation:

P = 90

r = 40% = 40/100 = 0.4

t = 3 years

It is not clear to me what this means. Is the 40% for each year for 3 years or is the interest rate = 40% period. I know that in some of the poorer countries, this is not an unusual amount to pay for each year he holds the loan.

I will take it as 40% for each year for 3 years.

i = prt = 90 * 0.4 * 3

i = 108

Answer:

For this type of problem, it is best to use Venn diagrams as shown in the picture. The areas where the circles intersect are the mutual events that occur together. The area where all circles intersect is denoted as x. These are the students who play all sports. Assuming all of the students play sports in the school, all of the numbers in the circles should add up to 405. The remaining area would be the difference. The solution is as follows:

Students who play tennis and hockey: 45 - x

Students who play hockey and softball: 60 - x

Students who play only tennis and softball: 39 - x

Students who only play tennis:

251 - 45 + x - 39 +x -x = x + 167

Students who only play hockey:

157 - x - 45 + x - 60 + x = x + 52

Students who only play softball:

111 - x - 60 + x - 39 + x = x + 12

The sum of all of these should be 405:

45-x+60-x+39-x+x+167+x+52+x+12 = 405

Solving for x,

x = 30

Therefore, there are 30 pupils who play all sports; 15 pupils who play tennis and hockey; 30 pupils who play hockey and softball; 9 pupils who play tennis and softball; 197 pupil who only play tennis; 82 pupils who only play hockey; and 42 pupils who only play softball.

Step-by-step explanation:

Hope this is correct, if it is wrong then please feel free to critique me and I wil correct my mistake(s). I'm sorry in advance if it is incorrect.

Answer:

35010

.08190

- 137000

- .00060041

Step-by-step explanation:

positive exponents add zeros to end and move decimal place to right the amount of the exponent.

negative exponents add zeros to begininng and move decimal to the left.

Step-by-step explanation:

1.5 is the answer I just tried it and got it correct

Answer:

1.5 I just got the correct answer on edge

Answer:

is there a pic to go along? i need more to this..

Answer:

The directional derivative of f at A in the direction of [tex]\vec{u}[/tex] AD is 7.

Step-by-step explanation:

Step 1:

Directional of a function f in direction of the unit vector [tex]\vec{u}=(a,b)[/tex] is denoted by [tex]D\vec{u}f(x,y)[/tex],

[tex]D\vec{u}f(x,y)=f_{x}\left ( x ,y\right ).a+f_{y}(x,y).b[/tex].

Now the given points are

[tex]A(8,9),B(10,9),C(8,10) and D(11,13)[/tex],

Step 2:

The vectors are given as

AB = (10-8, 9-9),the direction is

[tex]\vec{u}_{AB} = \frac{AB}{\left \| AB \right \|}=(1,0)[/tex]

AC=(8-8,10-9), the direction is

[tex]\vec{u}_{AC} = \frac{AC}{\left \| AC \right \|}=(0,1)[/tex]

AC=(11-8,13-9), the direction is

[tex]\vec{u}_{AD} = \frac{AD}{\left \| AD \right \|}=\left (\frac{3}{5},\frac{4}{5} \right )[/tex]

Step 3:

The given directional derivative of f at A [tex]\vec{u}_{AB}[/tex] is 9,

[tex]D\vec{u}_{AB}f=f_{x} \cdot 1 + f_{y}\cdot 0\\f_{x} =9[/tex]

The given directional derivative of f at A [tex]\vec{u}_{AC}[/tex] is 2,

[tex]D\vec{u}_{AB}f=f_{x} \cdot 0 + f_{y}\cdot 1\\f_{y} =2[/tex]

The given directional derivative of f at A [tex]\vec{u}_{AD}[/tex] is

[tex]D\vec{u}_{AD}f=f_{x} \cdot \frac{3}{5} + f_{y}\cdot \frac{4}{5}[/tex]

[tex]D\vec{u}_{AD}f=9 \cdot \frac{3}{5} + 2\cdot \frac{4}{5}[/tex]

[tex]D\vec{u}_{AD}f= \frac{27+8}{5} =7[/tex]

The directional derivative of f at A in the direction of  [tex]\vec{u}_{AD}[/tex] is  7.

Answer: -1410

Step-by-step explanation:

Let's start by subbing in -4 for x

[tex]-4x^4 - 3x^3 - 29x^2 - 114\\-4(-4)^4-3(-4)^3-29(-4)^2-114[/tex]

Now we can solve

[tex]-4(256)-3(-64)-29(16)-114\\-1024--192-464-114\\-832-464-114\\-1296-114\\-1410[/tex]

Answer:

[tex]-1440[/tex]

Step-by-step explanation:

------------------------------

Given:

[tex]-4x^4-3x^3-29x^2-114=[/tex]

[tex]x=-4[/tex]

--------------->>>>

Let's substitute [tex]-4[/tex] for [tex]x[/tex] and solve

[tex]-4(-4)^4-3(-4)^3-29(-4)^2-144=[/tex]

Multiply the exponents

[tex]-4(256)-3(-64)-29(16)-144=[/tex]

Multiply the parenthesis

[tex]-1024+192-464-144=[/tex]

[tex]-832-464-144=[/tex]

[tex]-1296-144=[/tex]

[tex]=-1440[/tex]

------------------------------

Hope this helps.

Answer:

c

Step-by-step explanation:

A scale drawing is a reduced form in terms of dimensions of an original image / building / object

the scale drawing is usually reduced at a constant dimension

scale of the drawing = original dimensions / dimensions of the scale drawing

DEF should be three times as big as ABC

AB = 5 ; DE = 5 x 3 = 15

AC = 3 ; DF = 3x 3 = 9

BC = 4 ; EF = 4 X 3 = 12

the options that correspond to this is option c

Answer:

it's called the horizontal line

Step-by-step explanation:

also known as y=0

Answer:

pls dont kill my dad.. i cant help but please. hes the only thing i have left man

Step-by-step explanation:

i would so help if i could but i just really dont want shrek dead

Answer:

4cm

Step-by-step explanation:

first find the length of the side of one square

the length of the rectangle will be twice the width

let y represent the width

area of a rectangle=length x width

2cm²=2yxy

2cm²=2y²

2cm²/2=2y²/2

1cm²=y²

1√cm²=√y²

1cm=y

perimeter of a square=4xside

4x1cm

4cm

Answer:gotta go sorry

Step-by-step explanation:

Answer:

Range: 0.07

Median: 0.145

Mode: none

Step-by-step explanation:

Range: largest #- smallest #

Median: middle number (when numbers are in order least to greatest) or when two are middle number you add them, and divide by two

Mode: most occurring number(s) (if there aren't any, no mode)—but if there are multiples such as 2 zeros and 2 ones then 0 and 1 would be the mode

Answer:

45kg

Step-by-step explanation:

60.3/4=45

Answer:

There are no like terms.

Step-by-step explanation:

Answer: you can put it into addition form or multiplication just take the number from that place as the right amount of zeros behind it and you should be good so on 6 it could be 90 or if your suppose to be putting it in multiplication it would be 9x10

Step-by-step explanation:

Answer:

read below

Step-by-step explanation:

decomposed answ:

6. 9*10

7. 4*10

8. 89*10

9. 3*100

10. 7*1000

11. 37*100

decomposition:

12. 56*10

13. 43*100

14. 60*100

Answer:

3.5

Step-by-step explanation:

It's technically 3.69 but 3.5 is the closest answer you can get

Answer:

[tex]\sqrt{14}[/tex]

Step-by-step explanation:

In any square with side length [tex]s[/tex], the diagonal of the square is equal to [tex]s\sqrt{2}[/tex]. Since the side length of this square is [tex]\sqrt{7}[/tex], the diagonal is equal to [tex]\sqrt{7}\cdot \sqrt{2}=\boxed{\sqrt{14}}[/tex].

Alternatively, you can form two 45-45-90 triangles with the diagonal of the square. The diagonal acts as the hypotenuse for the both these triangles, and the legs of both triangles are equal to the side length of the square. To find the length of the diagonal, use the Pythagorean Theorem, which states [tex]a^2+b^2=c^2[/tex], where [tex]c[/tex] is the hypotenuse of the triangle, and [tex]a[/tex] and [tex]b[/tex] are the two legs of the triangle.

In this question, both legs are equal to [tex]\sqrt{7}[/tex], and we're solving for the diagonal, which is the hypotenuse in this case:

[tex]\sqrt{7}^2+\sqrt{7}^2=c^2,\\c^2=14,\\c=\boxed{\sqrt{14}}[/tex]

Answer:

10

Step-by-step explanation:

-14+15 leaves a positive 1

-11+20 leaves a positve 9

add.

Answer:

A. 3.60+5/6x=4.35  

Step-by-step explanation:

Total cost = milk + price per pound of oranges* number of pounds  

We know the total cost = 4.35 and the cost of the milk = 3.60  and the number of pounds of oranges = 5/6  

4.35 = 3.6 +5/6 * x

Answer:

a

Step-by-step explanation:

Answer:

32ft

Step-by-step explanation:

Tan = opp/adj

Tan(65) = n / 15

Tan(65) x 15 = n

n = 32.16 = 32ft

Answer:

32 feet

Step-by-step explanation:

Hi there!

We are given a right triangle and the angle of elevation (one of the acute angles in the triangle) as 65°, as well as one of the legs (sides that make up the right triangle) as 15

We need to find the height of the triangle.

Let's make the height of the triangle (the side we need to find) x

Since we need to find the height of the triangle, let's use tangent. As we have the angle of elevation given, we'll use that.

Recall that tangent is [tex]\frac{opposite}{adjacent}[/tex]

in reference to the angle of elevation, the opposite side is x, and the adjacent side is 15

that means that:

tan(65)=[tex]\frac{x}{15}[/tex]

plug tan(65) into your calculator (make sure it's on degree mode!)

tan(65)≈2.14

2.14=[tex]\frac{x}{15}[/tex]

multiply both sides by 15 to clear the fraction

32.1=x

The problem asks us to round to the nearest foot, so the height of the building is 32 feet

Hope this helps! :)