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3 years ago

What happens to the inequality sign when you multiply or divide by a negative number?

Mathematics

2 answers:

kykrilka [37]3 years ago

6 0

Answer:

It switches sides

Step-by-step explanation:

Example 2<4, 2<4(-2)=2<-8

xz_007 [3.2K]3 years ago

3 0

Answer:

Much like when you divide by a negative number, the sign of the inequality must flip! ... When you multiply both sides by a negative value you make the side that is greater have a "bigger" negative number, which actually means it is now less than the other side!

Step-by-step explanation:

You might be interested in

Parallelogram PARL is similar to parallelogram WXYZ. If AP = 7, PL = 15, and WZ = 45, find the value of c.

Angelina_Jolie [31]

Answer:

c = 21

Step-by-step explanation:

**I assume that side WX in my diagram (attached as an image below) is the value of C that we're looking for. ALSO, the sizes and lengths of the parallelograms are NOT to scale.**

If two parallelograms are similar, that means the lengths of the corresponding sides have EQUAL ratios.

PL corresponds with WZ. To get from 15 to 45, you would multiply 15 by 3, so the ratio of the legnths of the corresponding sides between these two parallelograms is 1:3.

With that in mind, we can apply this ratio to find WX.

We know that AP has a length of 7, so we will multiply that by 3, getting a value of 21, and 7:21 ratio is the same as 1:3.

c = 21

Hope this helps (●'◡'●)

7 0

3 years ago

Linda is going to rent a truck for one day. There are two companies she can choose from, and they have the following prices.

MA_775_DIABLO [31]

Answer: as company A charges a fix amount $93 for any distance and company B charges variable amount starting from $65.there will be a certain mileage after that the amount charged by company B should be greater than company A.

let for greater than m mileage company A will

charge less than company B.

charge for company A for m mileage= $93

charge for company B for m mileage= $65 + $0.70*m

so,

93 ≤ 65+0.70*m

93-65 ≤ 65+0.70*m -65

28 ≤ 0.70*m

28*10 ≤ 7 *m

280 ≤ 7m

280/7 ≤ 7m/7

40 ≤ m

Ans: greater than 40 mileage Company A will charge less than Company B

Step-by-step explanation:

5 0

3 years ago

I need help for this questinon

alexgriva [62]

Answer:

Explaination: you are just rotating the rhombus

3 0

3 years ago

Read 2 more answers

A triangle, where the two angles are 30° and 90°, what are the remaining angles

Aleksandr-060686 [28]

Answer:

60⁰

Step-by-step explanation:

A triangle has three angles.

The sum of its angles = 180⁰

[ By angle sum property ]

Let the unknown angle be 'x'

Then,

30⁰ + 90⁰ + x = 180⁰

120⁰ + x = 180⁰

x = 180⁰ - 120⁰

x = 60⁰

Therefore, the unknown angle will be equal to 60⁰

7 0

3 years ago

Read 2 more answers

ABCD-is-a-parallelogram-P-and-Q-are-two-points-on-the-diagonal-BD-such-that-DP-QB-Prove-that-APCQ-is-a-parallelogram?

Amanda [17]

A quadrilateral in which both pairs of opposite sides are parallel is called a Parallelogram

Step-by-step explanation:

A quadrilateral is said to be parallelogram if

If its opposite sides are equal
If the opposite angles are equal
If the diagonals bisect each other
If a pair of opposite sides is equal and parallel.

From the question given above

ABCD is a parallelogram and P and Q are points on BD such that

DP=QB

In ΔAPD and ΔCQB,--------------------------(i)

DP = QB (Given)

∠ADP = ∠CBQ (Alternate interior angles)

AD = BC

(Hence it is proved that -Opposite sides of a parallelogram are equal)

so, ΔAPD ≅ ΔCQB (As per SAS congruence rule)

If , ΔAPD ≅ ΔCQB.-------------------------(ii)

AP = CQ ( by CPCT )

In ΔAQB and ΔCPD,-----------------------(iii)

BQ = DP (Given)

∠ABQ = ∠CDP (Alternate interior angles)

AB = CD (Opposite sides of a parallelogram)

so, ΔAQB ≅ ΔCPD (As per SAS congruence rule)

(iv) AQ = CP (According to CPCT as ΔAQB ≅ ΔCPD.)

From (ii) and (iv) equation ,we can say that

AP=CQ ,

AQ=CP

It is proved that APCQ has equal opposite sides also it has equal opposite angles. Hence,APCQ is a Parallelogram

4 0

3 years ago