Write the equation of the line that passes through the points (7, –9)
and (1,-4). Put your answer in fully reduced point-slope form,
unless it is a vertical or horizontal line.

Answer:

The area of LQM is [tex]48cm^2[/tex]

Step-by-step explanation:

Given

Area of PNQ = 8

Area of LPQ = 16

See attachment for triangles

The area of PNQ is calculated as:

[tex]Area = \frac{1}{2} * PQ * PN[/tex]

Substitute 8 for Area

[tex]8 = \frac{1}{2} * PQ * PN[/tex]

[tex]PQ * PN = 16[/tex]

The area of LPQ is calculated as:

[tex]Area = \frac{1}{2} * PQ * LP[/tex]

Substitute 16 for Area

[tex]16= \frac{1}{2} * PQ * LP[/tex]

From the attachment:

[tex]PN + LP =LN[/tex]

Make LP the subject

[tex]LP = LN -PN[/tex]

So:

[tex]16= \frac{1}{2} * PQ * (LN -PN)[/tex]

We have:

[tex]16= \frac{1}{2} * PQ * (LN -PN)[/tex] and [tex]PQ * PN = 16[/tex]

Equate both expressions:

[tex]\frac{1}{2} * PQ *(LN - PN) = PQ * PN[/tex]

Divide both sides by PQ

[tex]\frac{1}{2} (LN - PN) = PN[/tex]

Multiply both sides by 2

[tex]LN - PN = 2PN[/tex]

[tex]LN= 3PN[/tex]

Since PNQ is similar to LNM, the following equivalent ratios exist:

[tex]\frac{LM}{PQ} = \frac{LN}{PN}[/tex]

Substitute [tex]LN= 3PN[/tex]

[tex]\frac{LM}{PQ} = \frac{3PN}{PN}[/tex]

[tex]\frac{LM}{PQ} = 3[/tex]

[tex]LM = 3PQ[/tex]

Area of LQM is:

[tex]Area = \frac{1}{2} * LM * LP[/tex]

This gives:

[tex]Area = \frac{1}{2} * 3PQ * LP[/tex]

[tex]Area = 3 *\frac{1}{2} *PQ * LP[/tex]

Recall that:

[tex]16= \frac{1}{2} * PQ * LP[/tex]

So:

[tex]Area = 3 *16[/tex]

[tex]Area = 48cm^2[/tex]

Answer:

138 cups of sugar

Step-by-step explanation:

23 cups for 1 batch times 6 batches equals 138.

23*6=138

The answer should be -79

Given that,

Based on the above information, the calculation is as follows:

= (112 - 56) - (25 + 110)

= 56  -135

= -79

Learn more: brainly.com/question/17429689

Answer:

1/4

Step-by-step explanation:

I got it right

Answer:

72%

Step-by-step explanation:

%/100 = is/of Write formula

x/100 = 36/50 Substitute known values

50x=3600 Cross multiply

/50   /50 Divide both sides by 50 to isolate x

x    =72

Answer:

1°

Step-by-step explanation:

cos x= LJ/JK=2.8/9.3

⇒x ≈1°

Answer:  31

Step-by-step explanation:

(x/5) - 1 = 5.2

x/5 = 6.2

x = 6.2 x 5

x = 31

Answer:

To find

=>The value of x in the Equation => (X/5)-1=5.2

Step-by-step explanation:

(X/5)-1 =5.2

(X/5)= 5.2+1

x/5=6.2

X= 6.2*5

X=31

Answer:  Angle 3 and Angle 9

Step-by-step explanation:

Answer:

3 9

Step-by-step explanation:

Answer:

The first option

Step-by-step explanation:

the answer is: 1,2,3

the inequality represents less than, meaning the value of z is less than 4

which leaves us with 3 numbers, 1, 2 and 3

Answer:

A : 25 , B: 14 , C : 15 , D: 12

D: first you add them it will be 11.8 you round it the nearest tenth of a unit it will be 12 I'm not sure of my answers I hope that I helped you .

Answer:

[tex]x^{2} + y^{2} = 64[/tex] is the equation in standard form

Step-by-step explanation:

The distance from (0, 0) to (0, 8) = 8 = the radius of the circle

[tex]x^{2} + y^{2} = 64[/tex] is the equation in standard form

Answer:

D. 18

Step-by-step explanation:

4×(9/2)=x

4×9/2=x

36/2=x

18=x

x=18

Answer:

D 18

Step-by-step explanation:

you devide 4 by 2/9 and get your answer

Answer:

13 cm i think.

Step-by-step explanation:

Step-by-step explanation:

Increase in price = R6 - R5 = R1

% increase. =. R1÷R6 × 100 = R0.16 ×100%

% increase. = 16%

.PLEASE GIVE BRAINLIEST.

Answer:

9900 Students

Step-by-step explanation:

Divide 8513 by .86 to show the rest of the freshman class.

You can check by doing 9900 times .86 to see %86 of 9900

Total there are 9900 students are in the freshman class.

Percentage is defined as a given part or amount in every hundred. It is a fraction with 100 as the denominator and is represented by the symbol "%".

Given that, 86% of a university's freshman class are majoring in Computer Science.

8514 students in the freshman class are Computer Science majors.

Let the number of students are in the freshman class be x.

Here, 86% of x=8514

86/100 ×x=8514

86x=851400

x=851400/86

x=9900

Therefore, total there are 9900 students are in the freshman class.

To learn more about the percentage visit:

brainly.com/question/24159063.

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The required measure of a vertical angle is given as 2x + 11.

An angle measures (2x + 11). The measure of an angle that is vertical to the given angle is to be determined.

orientation of one line with respect to the horizontal or other respective line is known as a measure of orientation and this measure is known as the angle.

here,
The measure of angle remains the same because vertical angles are always equal for the two intersecting lines.

Thus, the required measure of a vertical angle is given as 2x + 11.

Learn more about Angles here:

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Answer:

2. 35 degree.

Answer:

35°, 35°

Step-by-step explanation:

An isosceles triangle has 2 congruent angles.

The sum of the measures of the angles of a triangle is 180°.

A triangle cannot have 2 angles measuring 110° each since that sum alone equals 220° which is more than 180° before taking into account the measure of the third angle.

That means the angle measuring 110° must be the vertex angle. The other two angles are congruent, and each one measures x.

x + x + 110 = 180

2x + 110 = 180

2x = 70

x = 35

Answer: 35°, 35°

Answer:

450

Step-by-step explanation:

8+17=25

25x26=450

Answer: 500

Step-by-step explanation:

You have to do multiplication first according to PEMDAS so you do 17 times 26 and you get 442 add 8 you get 500.

Answer:

[tex]x=\frac{b-ac}{a+2} ; a\neq -2[/tex]

Step-by-step explanation:

Multiply both sides: by x+c

a(x+c)=[tex]\frac{b-2x}{x+c}[/tex] (x+c)

Simplify: a(x+c)=b-2x

Expand: ax+ac=b-2x

Subtract ac from both sides: ax+ac-ac=b-2x-ac

Simplify: ax=b-2x-ac

Add 2x to both sides: ax+2x=b-2x-ac+2x

Simplify: ax+2x=b-ac

Factor ax+2x: x(a+2)

x(a+2)=b-ac

Divide both sides by a+2: [tex]\frac{x(a+2)}{a+2}[/tex] = [tex]\frac{b}{a+2}[/tex] - [tex]\frac{ac}{a+2}[/tex] ; a≠-2

Simplify: [tex]x=\frac{b-ac}{a+2} ; a\neq -2[/tex]

Answer:

Step-by-step explanation:

okay so you can take any two points 1 x one y in the form (x, y) and (x, y) so

(2, 5) and (4, 1)

then use the slope formula y2-y1/ x2 -x1

1-5+=4

4-2=2

slope equals 4/2 simplified equals 2

I THINKKKKK!

Answer:

6

Step-by-step explanation:

3 ⋅ 2^t

Let t=1

3 ⋅ 2^1

Exponents first

3 * 2

6

Answer:

1/3

Step-by-step explanation:

if all the boys drank out of the jug than the fraction would be 1/3

1/3+1/3+1/3=1

Answer:

72 inches equals 2 yards to get the answer you divide 72 by 36 which equals 2 .

Step-by-step explanation:

Answer:

Step-by-step explanation:

i. c b a

ii. e d f

iii. h i g

hope this helps

now give me your brain lol

Answer:

1. (<A) > (<B) > (<C)

2. (<F) > (<D) > (<E)

3. (<H) > (<I) > (<G)

Step-by-step explanation:

The sides-angles theorem in a triangle states that the largest angle in a triangle will be opposite the largest side. One can apply this to the given set of triangles:

(1)

CB > AC > AB

4.4 > 3.1 > 2.7

(<A) > (<B) > (<C)

(2)

DE > FE > DF

(x) > (x-3) > (x-5)

(<F) > (<D) > (<E)

(3)

GI > GH > HI

(21x) > (14x) > (13x)

(<H) > (<I) > (<G)

Answer: 9 ft2

Step-by-step explanation:

i took that test yesterday

Answer:

52 4/5

Have a nice day! :)

Answer:

30

Step-by-step explanation: