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3 years ago

Solving Linear equations 5x + 1 = -2x - 8

Mathematics

2 answers:

bagirrra123 [75]3 years ago

6 0

Answer:

x=-9/7 =-1.286

Step-by-step explanation:

Solve 7x+9 = 0

Then Subtract 9 from both sides of the equation :

7x = -9

Divide both sides of the equation by 7:

x = -9/7

= -1.286

Alenkinab [10]3 years ago

4 0

5x + 1 = -2x -8
7x= -9
x= -9/7

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12. In the given figure, RS is parallel to PQ, If RS = 3 cm, PQ = 6 cm and ar(∆TRS) = 15cm³, then ar (∆TPQ) = ? (a) 70 cm² (b) 5

Gnesinka [82]

$\large\underline{\sf{Solution-}}$

Given that,

In triangle TPQ, 

RS || PQ,

RS = 3 cm,

PQ = 6 cm,

ar(∆ TRS) = 15 sq. cm

As it is given that, RS || PQ

So, it means

⇛∠TRS = ∠TPQ [ Corresponding angles ]

⇛ ∠TSR = ∠TPQ [ Corresponding angles ]

$\rm\implies \: \triangle TPQ \: \sim \: \triangle TRS \: \: \: \: \: \: \{AA \}$

Now, We know 

Area Ratio Theorem,

This theorem states that :- The ratio of the area of two similar triangles is equal to the ratio of the squares of corresponding sides.

$\rm\implies \:\dfrac{ar( \triangle \: TPQ)}{ar( \triangle \: TRS)} = \dfrac{ {PQ}^{2} }{ {RS}^{2} }$

$\rm\implies \:\dfrac{ar( \triangle \: TPQ)}{15} = \dfrac{ {6}^{2} }{ {3}^{2} }$

$\rm\implies \:\dfrac{ar( \triangle \: TPQ)}{15} = \dfrac{36 }{9}$

$\rm\implies \:\dfrac{ar( \triangle \: TPQ)}{15} = 4$

$\rm\implies \:ar( \triangle \: TPQ) = 60 \: {cm}^{2}$

3 0

2 years ago

What is the lcm of 81 and 17?

algol [13]

Answer:

1377

Step-by-step explanation:

The least common multiple (LCM) of two or more non-zero whole numbers is the smallest whole number that is divisible by each of those numbers. In other words, the LCM is the smallest number that all of the numbers divide into evenly.

3 0

2 years ago

The prism below is made of cubes which measure of a centimeter on one side. What is the volume?

denpristay [2]

Volume = 45
Bc
3 rows wide
5 rows long
3 rows tall
5x3=15
15x3=45

6 0

2 years ago

find the difference between the simple interest and compound interest on 2500 for 2 years at 4% per annum , compound interest be

EastWind [94]

Answer:

Results are below.

Step-by-step explanation:

Giving the following information:

Principal (P)= $2,500

Interest rate= 4%

Number of periods= 2 years

First, we will determine the interest earned using the simple interest formula:

I= P*r*t

I= 2,500*0.04*2

I=$200

Now, using the compound interest formula:

I= [P*(1 + r)^t] - P

r= 0.04/2= 0.02 (semi annual interest rate)

t=2*2= 4 semesters

I= [2,500*(1.02^4)] - 2,500

I= $206.08

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2 years ago

Find the value of x, y and z

tangare [24]

Answer:

Step-by-step explanation:

8x = 9x - 7

-x = -7

x = 7

9(7)-7= 63-7=56

8(7)= 56

13y+7+56=180

13y+63=180

13y=117

y=9

13(9)+7= 117+7= 124

5y-11+56=90

5y+45=90

5y=45

y=9

5(9)-11+9(7)-7= z

45-11+63-7=z

34+56=z

90=z

7 0

3 years ago