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borishaifa [10]
3 years ago
11

Solve for x: 4x(3y-2)=7x+11

Mathematics
2 answers:
kupik [55]3 years ago
7 0

Answer:

x=11(12y-15)

Step-by-step explanation:

4x(3y-2)=7x+11

12xy-8x=7x+11

12xy-8x-7x=11

12xy-15x=11

x(12y-15)=11

x(12y-15)/(12y-15)=11/(12y-15)

x=11/(12y-15)

g100num [7]3 years ago
7 0

Answer: x=\frac{11}{12y-15}

Step-by-step explanation:

To solve for x, we want to isolate the variable.

4x(3y-2)=7x+11      [distribute]

12xy-8x=7x+11       [subtract both sides by 7x]

12xy-8x-7x=11       [combine like terms]

12xy-15x=11             [factor out x]

x(12y-15)=11             [divide both sides by 12y-15]

x=\frac{11}{12y-15}

Now, we know that x=\frac{11}{12y-15}.

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Step-by-step explanation:

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Prime factorization of 620:

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Find all values of x that make the triangles congruent. Explain your reasoning.
RSB [31]

Answer:

x = \frac{4}{5},5

Step-by-step explanation:

If both the triangles ΔABC and ΔBCD are congruent,

Corresponding sides of both the triangles will be proportional.

\frac{AB}{BD}=\frac{AC}{CD}

\frac{5x}{3x+10}=\frac{5x-2}{4x+3}

5x(4x + 3) = (5x - 2)(3x + 10)

20x² + 15x = 15x² + 50x - 6x - 20

20x² + 15x = 15x² + 44x - 20

20x² - 15x² = 44x - 15x - 20

5x² = 29x - 20

5x² - 29x + 20 = 0

5x² - 25x - 4x + 20 = 0

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(5x - 4)(x - 5) = 0

x=\frac{4}{5},5

3 0
3 years ago
what is the coordinate of the vertex of the parabola y-2=1/12(x+10) a. ( 10,-2) b. (-10,2) c. (-2,10) d. (2.-10)
solniwko [45]

Answer:

y-a= c(x-b)^2

With the vertex V= (b,a)

We see that b = -10 and a = 2 and then the vertes wuld be:

V= (-10,2)

And the best option is:

b. (-10,2)

Step-by-step explanation:

For this problem we have the following function:

y-2 = \frac{1}{2} (x+10)

And if we compare this expression with the general expression for a parabola given by:

y-a= c(x-b)^2

With the vertex V= (b,a)

We see that b = -10 and a = 2 and then the vertes wuld be:

V= (-10,2)

And the best option is:

b. (-10,2)

4 0
3 years ago
Someone please help me out with these questions . I don’t get them at all.
iVinArrow [24]

Answer:

a)similar; b)similar; c)similar; d)NOT similar

Step-by-step explanation:

>In general if

all corresponding angels are ≅, and

all corresponding sides are in proportion

then the Δs are similar

>we have 3 similarity theorems AA, SSS, and SAS

a)

we can use that sum of angles in a triangle is 180 to find the missing angles

180-96-32 = 52

so in the smaller triangle the angles are 96°-52°-32°

in the larger triangle the angles given are 52°-32°

Since there are 2 corresponding angles congruent, AA theorem of similarity says that the 2 triangles are similar. The transformations were that the big triangle was shrunk and rotated

b)

here we are given a pair of congruent angles and we need to check if the sides are in proportion, is 14/44.8 equal to 20/64?

14/44.8 =.3125 is equal to 20/64=.3125

since we have two corresponding sides in proportion and the angles in between them congruent the SAS theorem says that the 2 triangles are similar. The transformation was that the small triangle was dilated.

c)

because we are given the 2 angles are congruent we can conclude that the lines NH and SL are parallel. NH║SL let us conclude that ∡H and ∡ L are congruent because 2 parallel lines cut by a transversal (ML in our case) form congruent angles. So ΔMNH  is similar to ΔMSL because of AA theorem of similarity (one pair of A was given congruent, one other pair of A we concluded was congruent)

d)

here we have to check if all the sides are in proportion to see if SSS theorem of similarity applies here

18/90 = .2

44/202.4≈.22

58.5/211.2≈.28

.2≠ .22 ≠ .28

since the sides are not in proportion the 2 triangles are NOT similar.

4 0
3 years ago
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