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lesya692 [45]
3 years ago
10

X(x+7)=4x+10 then needs to get the normal form of the equation x= ?, x=?

Mathematics
1 answer:
Vanyuwa [196]3 years ago
8 0

Answer:

x = - 5, x = 2

Step-by-step explanation:

Given

x(x + 7) = 4x + 10 ← distribute left side

x² + 7x = 4x + 10 ( subtract 4x + 10 from both sides )

x² + 3x - 10 = 0 ← in standard form

(x + 5)(x - 2) = 0 ← in factored form

Equate each factor to zero and solve for x

x + 5 = 0 ⇒ x = - 5

x - 2 = 0 ⇒ x = 2

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Helloo!!! please help me on this !!!!
ivann1987 [24]

It is given that ️PQR & ️UVW are congruent to each other. According to CPCT, the corresponding angles in 2 triangles willl have the same measure. So, ∠R = ∠W, i.e, (10x - 18)° = 8x°

\mathfrak{10x - 18 = 8x}

\mathfrak{10x - 8x = 18}

\mathfrak{2x = 18}

\mathfrak{x = \dfrac{18}{2}}

\underline{\mathfrak{x = 9}}

Measure of ∠R :

\mathfrak{8x}

\mathfrak{8(9)}

\boxed{\mathfrak{72^{\circ}}}

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7 0
2 years ago
Consider the sequence defined recursively by do = 0, an = an-1 + 3n – 1. a) Write out the first 5 terms of this sequence,
creativ13 [48]

Answer:

The first 5 terms of the sequence is 2,7,15,26,40.

Step-by-step explanation:

Given : Consider the sequence defined recursively by a_0=0 a_n=a_{n-1}+3n-1

To find : Write out the first 5 terms of this sequence ?

Solution :

a_n=a_{n-1}+3n-1 and a_0=0

The first five terms in the sequence is at n=1,2,3,4,5

For n=1,

a_1=a_{1-1}+3(1)-1

a_1=a_{0}+3-1

a_1=0+2

a_1=2

For n=2,

a_2=a_{2-1}+3(2)-1

a_2=a_{1}+6-1

a_2=2+5

a_2=7

For n=3,

a_3=a_{3-1}+3(3)-1

a_3=a_{2}+9-1

a_3=7+8

a_3=15

For n=4,

a_4=a_{4-1}+3(4)-1

a_4=a_{3}+12-1

a_4=15+11

a_4=26

For n=5,

a_5=a_{5-1}+3(5)-1

a_5=a_{4}+15-1

a_5=26+14

a_5=40

The first 5 terms of the sequence is 2,7,15,26,40.

5 0
3 years ago
3. A rectangular piece of paper has a length of 6 inches and a width of 3 inches.
Ulleksa [173]

Answer

18

Step-by-step explanation:

The area is width x hight. 6x3=18

5 0
3 years ago
Read 2 more answers
Books spontaneously catch on fire in temperatures at or above 451, degree Fahrenheit. Write an inequality that is true only for
Brilliant_brown [7]
For this case, the first thing you should do is define a variable.
 We have then:
 t: temperature (degree Fahrenheit).
 We write then the inequation that adapts to the problem:
 t> = 451
 Answer:
 
an inequality that is true only for temperatures at which books spontaneously catch on fire is:
 
t> = 451
3 0
3 years ago
Which value is a solution to the inequality 2x − 5 < −12?
Thepotemich [5.8K]

Answer:

-5.4 that's the answer

Step-by-step explanation:

I got you trust me

4 0
3 years ago
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