The slopes of lines PQ and P'Q' can be determined using the formula m = StartFraction v 2 minus v 1 Over x 2 minus x 1 EndFraction The product of these slopes is ________. This product shows that the slopes are negative reciprocals. It is given that the lines are perpendicular and we have shown that the slopes of the lines are negative reciprocals.

Answer:

- (x - 4)(x - 11)

Step-by-step explanation:

Given

- x² + 15x - 44 ← factor out - 1 from each term

= - 1 (x² - 15x + 44) ← factor the quadratic

Consider the factors of the constant term (+ 44) which sum to give the coefficient of the x- term ( - 15)

The factors are - 4 and - 11 , since

- 4 × - 11 = + 44 and - 4 - 11 = - 15 , thus

x² - 15x + 44 = (x - 4)(x - 11) and

- x² + 15x - 44 = - (x - 4)(x - 11)

Answer:

18.49

Step-by-step explanation:

just subtract 86.23 - 67.74

Answer:

18.49

Step-by-step explanation:

Answer:8% this is the answer

Step-by-step explanation:

A pentagonal prism is a prism having two pentagonal bases and five rectangular sides. It is a heptahedron.

The regular right pentagonal prism is uniform polyhedron . Its dual polyhedron is the pentagonal dipyramid.

The surface area and volume for the right regular pentagonal prism of unit edge length are

S = 5+1/2sqrt(5(5+2sqrt(5)))

(1)

V = 1/4sqrt(5(5+2sqrt(5))).

Answer:

Look below.

Step-by-step explanation:

Not exactly sure what is being asked here, but I'm going to assume you need to convert them into decimals.

7.) 0.51

8.) 3.95

9.) 0.49

10.) 0.11

11.) 0.39

12.) 7.39

13.) 9.70

14.) 2.56

15.) 2.77

16.) 0.37

17.) 0.04

18.) 7.73

19.) 0.14

20.) 2.19

Any percent that goes over 100, goes into the unit place.

If I didn't answer the question right, then let me know.

Answer:

Step-by-step explanation:

The given statement is the scale factor:

  [tex]\dfrac{\text{scale distance}}{\text{actual distance}}=\dfrac{1\text{ cm}}{2\text{ m}}[/tex]

This can be rearranged to the formula ...

  [tex]\text{actual distance}=\text{(scale distance)}\dfrac{2\text{ m}}{1\text{ cm}}[/tex]

Filling in the given scale distances, you find the actual distances to be ...

  [tex]\textbf{(a) }(14\text{ cm})\dfrac{2\text{ m}}{1\text{ cm}}=14\cdot2\text{ m}=28\text{ m}\\\\\textbf{(b) }(7.5\text{ cm})\dfrac{2\text{ m}}{1\text{ cm}}=7.5\cdot2\text{ m}=15\text{ m}\\\\\textbf{(c) }(12.4\text{ cm})\dfrac{2\text{ m}}{1\text{ cm}}=12.4\cdot2\text{ m}=24.8\text{ m}\\\\\textbf{(d) }(0.5\text{ cm})\dfrac{2\text{ m}}{1\text{ cm}}=0.5\cdot2\text{ m}=1.0\text{ m}\\\\[/tex]

Answer:

28 m

15 m

24.8 m

1.0 m

Step-by-step explanation:

servings = 6

molds = 113

package = 8

servings make = 113÷6=18.83

Answer:

-2 =a

Step-by-step explanation:

6-4(a+2)=8+a

Distribute

6 - 4a - 8 = 8+a

Combine like terms

-2 -4a = 8+a

Add 4a to each side

-2-4a+4a=8+a+4a

-2 = 8+5a

Subtract 8 from each side

-2-8 = 8+5a -8

-10 = 5a

Divide each side by 5

-10/5 = 5a/5

-2 =a

Answer:

k=29

Step-by-step explanation:

Answer:

the answer is C the third one 25,500

Step-by-step explanation:

Answer:

yes it is true

hope my answer help you

v < −5  or  v > 5

We know either v+8<3 or −8v<−40

Possibility 1

v+8<3

v+8−8<3−8

Subtract 8 from both sides

v<−5

Possibility 2

−8v<−40

−8v  −8  <  −40  −8

Divide both sides by -8

v>5

Answer:

23

Step-by-step explanation:

Answer:

23

Step-by-step explanation:

√6= 2.45    6+2.45=8.45  8.45 and 2/3 =9.12  

answer to question 3 is 6+ √6

The fourth one idk if im right or not but im pretty sure its x³ - 12x² + 37x = 0

Descartes' rule of sign is used to determine the number of real zeros of a polynomial function. It tells us that the number of positive real zeroes in a polynomial function f(x) is the same or less than by an even numbers as the number of changes in the sign of the coefficients.

Answer:

if -5n+7<57, then n>-10.

if 6n+2<8, then n<1.

Step-by-step explanation:

-5n+7<57

1. subtract 7 from both sides:

-5n+7 -7< 57 -7

-5n<50

2. divide both sides by -5 (remember to flip the sign whenever you divide by a negative number):

-5n ÷-5<50 ÷-5

n>-10

6n+2<8

1. subtract 2 from both sides:

6n+2 -2<8 -2

6n<6

2. divide both sides by 6:

6n ÷6<6 ÷6

n<1

Answer:

1) = 180 degree reason = being AB is a straight line or supplementary

2) = angle AOB reason = being all the angles are of a straight line AB

3) = x + 2x+34 + 20 = 180 degree. reason being supplementary angle

4) = 42 degree

1) fill 180° in the blank

Reason :

Because AOB angles is half a page so it equals 180°

_________________________________

2)fill 180° in the blank

Reason :

AOE + EOF + FOB = AOB

And we have found that AOB angles is half a page so it equals 180°

_________________________________

3) 2x + 34 _ 180°

_________________________________

4) x = 42°

The population of town A is 4.5 times greater than the population of town B.

The power of a number describes how many times a number is multiplied by itself.

Given are the population of two towns A and B.

Town A has a population of 1.26×10⁵ and the population of town B is 2.8×10⁴.

To find how many times greater is the population of Town A than the population of Town B we have divide the population of town A by the population of town B which is,

= ( 1.26×10⁵)/(2.8×10⁴) times greater.

= (12.6)/(2.8).                                       ( 10⁵ divided by 10⁴ is 10¹ which is 10)

= 4.5 times greater.

learn more about exponents here :

https://brainly.com/question/15993626

#SPJ2

answer:

72

step-by-step explanation:

your question doesn't make mathematical sense how can 12 = 6 then subract 90?

maybe you meant 12 + 6 - 90

if so

the answer is

72

(my work)

12 + 6 = 18

18 - 90 = 72

hope this helped <3

Answer:

There's no image or anything

Option D, 8 dollars per hour

320/40= 8

Step-by-step explanation:

100/2[500/5{6+(21-17)}]

using BODMAS

100/2[500/5{6+4}]

100/2[500/5 × 10]

100/2 [100 × 10]

100/2 × 1000

50× 1000

50000

I think this is the answer. I'm not really sure but this is how I studied

All the best!

Answer:

A. & E.

Step-by-step explanation:

A.) 4-4=0

B.) 4+4=8

C.) 1-2=-1

D.) 25-10=15

E.) 16+8=24

Answer:

9:2   36:8   72:12

Step-by-step explanation:

Answer:

I am pretty sure it is 72, sorry if i'm wrong:)

Step-by-step explanation:

Answer:

KPL= 64 degrees JPL= 116 degrees

Step-by-step explanation:

2x+24+4x+36=180

combine like terms

6x+60=180

6x=120

x=20

2(20)+24=64

4(20)+36=116