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Answer: The equation of a line that passes through the point (5, −4) and is parallel to the line whose equation is 2x + 5y = 10 is y = (-2/5)x - 2

Step-by-step explanation: The equation of a straight line is given by:

y = mx + b

where y, x are variables, m is the slope of the line and b is the y intercept.

The slope of the line 2x + 5y = 10 is:

2x + 5y = 10

5y = -2x + 10

y = -2/5x + 10

Hence the slope of the line 2x + 5y = 10 is -2/5

Since both lines are parallel, hence the slope of the other line is the same (-2/5). Hence the equation of the line is:

The equation of a line that passes through the point (5, −4) and is parallel to the line whose equation is 2x + 5y = 10 is y = (-2/5)x - 2

Isolate y

[tex]\\ \sf\longmapsto 5y=-2x+10[/tex]

[tex]\\ \sf\longmapsto y=-2/5x+2[/tex]

Parallel line has equal slope

Equation of line in point slope form

[tex]\\ \sf\longmapsto y-y_1=m(x-x_1)[/tex]

[tex]\\ \sf\longmapsto y+4=-2/5(x-5)[/tex]

[tex]\\ \sf\longmapsto 5y+20=-2x+10[/tex]

[tex]\\ \sf\longmapsto 2x+5y+10=0[/tex]

For a point with a slope 3/4 and which passes through the points  (-2, 6) and (-8, k), the value of k is 1.5

The line passes through the points (-2, 6) and (-8, k)

That is, [tex]x_1=-2, y_1=6, x_2=-8, y_2=k[/tex]

The slope of the line, m = 3/4

The formula for calculating the slope of a line is given as:

[tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex]

Substitute   [tex]x_1=-2, y_1=6, x_2=-8, y_2=k, m = \frac{3}{4}[/tex] into the formula above

[tex]\frac{3}{4} = \frac{k-6}{-8-(-2)} \\\\\frac{3}{4} = \frac{k-6}{-8+2}\\\\\frac{3}{4} = \frac{k-6}{-6}\\\\-6(3)=4(k-6)\\\\-18=4k-24\\\\4k=-18+24\\\\4k=6\\\\k=\frac{6}{4} \\\\k=1.5[/tex]

Therefore, the value of k is 1.5

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Answer:

by gaining or losing electrons

Step-by-step explanation:

hope it helped

brainliest pls

Answer:

w = ± [tex]\frac{2}{3}[/tex]

Step-by-step explanation:

w² = [tex]\frac{4}{9}[/tex] ( take square root of both sides )

w = ± [tex]\sqrt{\frac{4}{9} }[/tex] = ± [tex]\frac{\sqrt{4} }{\sqrt{9} }[/tex] = ± [tex]\frac{2}{3}[/tex]

Then

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

Answer:

18.9

Step-by-step explanation:

[tex]-4[/tex] is a part of the solution set to all of the inequalities

We will consider each inequality in turn:

For [tex]x>-5[/tex]:

The solution set is [tex]\{{-4,-3,-2,-1,...\}[/tex]

So [tex]-4[/tex] is a part of the solution set of [tex]x>-5[/tex]

For [tex]2>x[/tex], or [tex]x<2[/tex]:

The solution set is [tex]\{{1,0-1,-2,-3,-4,...\}[/tex]

So [tex]-4[/tex] is a part of the solution set of [tex]2>x[/tex]

For [tex]3x+4\ge -8[/tex]:

We have to solve first

[tex]3x+4\ge -8\\3x\ge -8-4\\3x\ge -12\\x\ge -4\\[/tex]

The solution set is [tex]\{{-4,-3,-2,-1,0,...\}[/tex]

So [tex]-4[/tex] is a part of the solution set of [tex]3x+4\ge -8[/tex]

For [tex]5x\le 2x-3[/tex]:

We have to solve first

[tex]5x\le 2x-3\\5x-2x\le-3\\3x\le-3\\x\le-1[/tex]

The solution set is [tex]\{{-1,-2,-3,-4,-5,...\}[/tex]

So [tex]-4[/tex] is a part of the solution set of [tex]5x\le 2x-3[/tex]

For [tex]-6<4-2x[/tex]:

We have to solve first

[tex]-6<4-2x\\2x<4+6\\2x<10\\x<5[/tex]

The solution set is [tex]\{{4,3,2,...,-3,-4,-5,...\}[/tex]

So [tex]-4[/tex] is a part of the solution set of [tex]-6<4-2x[/tex]

So, [tex]-4[/tex] is a part of the solution set of all the inequalities.

Learn more about inequalities here: https://brainly.com/question/278997

Answer:

A. 80 degrees

Step-by-step explanation:

the equation at the top tells you that they are the same shape so you just need to find which angle one the first shape is equal to the angle H

Answer:

huh? did you mean to send in tgis as a question or something???

Answer:

Store A would be the least expensive.

Step-by-step explanation:

Store A

70*0.10=7

70-7=63

63*0.10=6.30

63-6.30=57.70

$57.70

Store B

80-15=65

65*0.10=6.50

65-6.50=58.50

$58.50

Store C

90*0.10=9

90-9=81

81-20=61

$61

Answer:

28

Step-by-step explanation:

Answer:

(A) 8.6

Step-by-step explanation:

distance =√((x_2-x_1)²+(y_2-y_1)²)

the actual distance is 8.602325.

rounded distance is 8.6

Answer:6 tens

Step-by-step explanation:

Simple. 60 equals 6 tens so blank equals 6 tens

Blank tens = 6

Hope this helps :)

Step-by-step explanation:

error is in ∆ABC =~ ∆RST

because it is,

∆ABC =~ ∆RTS or ∆STR

because,

AB = RT

BC = TS

CA = SR

hope this answer helps you dear! take care.

The error is in labelling the triangles.

A triangle is a polygon with three sides having three vertices. The angle formed inside the triangle is equal to 180 degrees.

Given are two ABC and RST

Since, Δ ABC ≅ Δ RST

That gives,

AB = RS

BC = TS

CA = RT

In figure,

AC has been equated to RS, which is wrong or incorrect because the corresponding side of AC is RT

The correct labelling will be

AB = RS = 5

BC = TS = 5

CA = RT = 5.5

Hence, The error is in labelling the triangles.

For more references on triangles, click;

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Answer:

$3.50

Step-by-step explanation:

111 is a sixth of 666 so its 21/6 which is 3 dollars 50 cents.

Answer:

168

Step-by-step explanation:

If entire number of attendees = y

then number of women = y* (72/100)

since y* (72/100) = 432 ( given)

y =( 432*100)/72

so, y = 600

since men made up the remaining 28% of attendees ,

number of men = y * (28/100) = 600* (28/100)

number of men = 168

Answer:

71

Step-by-step explanation:

Answer:

HL.

Step-by-step explanation:

Triangles  FEH and FGH are congruent

They are both right angles and the  hypotenuse and  a leg ( the side FH) are both equal in length.

Answer:

4 better inbox

Step-by-step explanation:

Answer:

almost 3 mph so I'm guessing (d) is the answer

Step-by-step explanation:

35  ÷ 12 = 2.9 miles per hour

Answer:

(2.5, 4)

Step-by-step explanation:

(4, 7) (1, 1)

midpoint formula is ( (x1 + x2) / 2  , (y1 + y2) / 2 )

=>( (4 + 1)/2 , (7 + 1)/2 )

=> (5/2, 4)

=> (2.5, 4)

(1,5) and (3,9)

[tex]y = 2x + 3[/tex]

(5,8) and (3,2)

[tex]y = 3x - 7[/tex]

(1,-5) and (0,3)

[tex]y = - 8x + 3[/tex]

Hope this will help:)

Answer: it’s 320cm^2

Step-by-step explanation:

Answer:

 19.9202745546

Step-by-step explanation:

54 will be your answer...

Answer:

Step-by-step explanation:

Percentile Formula  

P = (n/N) × 100

Where,  

n = ordinal rank of the given value or value below the number

N = number of values in the data set  

P = percentile  

Or  

Percentile = (Number of Values Below “x” / Total Number of Values) × 100

Answer:[tex]\frac{x}{x+....}[/tex]×100

Step-by-step explanation:

Answer:

4/8, 1/2

Step-by-step explanation:

7/8 - 3/8 = 4/8

4/8 >>> divide both by 4

4 divided by 4 = 1

8 divided by 4= 2

1/2 Inches

Answer:

4 + 2.5x=cost

Step-by-step explanation:

Answer:

x = 9

Step-by-step explanation:

Answer:

x=9

Step-by-step explanation:

[tex]x+3=12[/tex]

[tex]x+3-3=12-3[/tex] ( Subtract 3 from both sides)

[tex]x=9[/tex]

Answer:

B

Step-by-step explanation:

I only help you because you have nezuko as profile picture

Answer:

24 square meters of wallpaper

Step-by-step explanation:

Hope this helps.