Need help with math!!!!!!

The solution to the equation [tex]\frac{-4}{1(a-4)} = \frac{4}{7(a-3)}[/tex] is a = 3.125

The given equation is:

[tex]\frac{-4}{1(a-4)} = \frac{4}{7(a-3)}[/tex]

Cross multiply:

[tex]-4(7)(a-3) = 4(a-4)[/tex]

Divide both sides by 4

[tex]\frac{-4(7)(a-3)}{4} = \frac{4(a-4)}{4} \\-7(a-3) = a - 4[/tex]

Expand the bracket using the distributive rule

-7a + 21  =  a  -  4

Collect like terms

a  +  7a   =  21  +  4

Simplify the arithmetic

8a   =  25

Divide both sides by 8

[tex]\frac{8a}{8} = \frac{25}{8}\\a = \frac{25}{8}\\a = 3.125[/tex]

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Answer:

what is the question?

Step-by-step explanation:

ok ok ok ok ok ok ok ok ok ok ok ok ok ok ok ok ok ok ok ok ok ok ok ok ok ok ok ok ok ok ok ok

Answer:

1/14

Step-by-step explanation:

3/4÷21/2

3/4× 2/21=6/84=1/14

Answer:

a) linear, straight when graphed and no exponents

b) quadratic, x has exponent

c) quadratic, x has exponent

d) linear, no exponent

e) quadratic, x has exponent

f) i think it's neither because there's two variables that can't add together

Step-by-step explanation:

Answer:

A is linear because a linear equation is mapped in the form y=ax+b and results in a straight line when graphed. This equation has a slope, 1, which occupies the space for a and a y-intercept of 3 which occupies the space for b

B is neither because it doesn't fit the linear form or the quadratic form (which is constrained by the equation y=ax^2+bx+c. The highest degree for this form is 2.) I believe this function is actually a type of cubic which is not an option for the question.

C is a quadratic because it follows the form y=ax^2+bx+c and results in a parabola

d. 3x-y=5 is linear because even though it is not in the y=ax+b form, it can be manipulated into it by subtracting 3x from both sides and then dividing by -1 on both sides to get y=3x-5 which fits the form and graphs a line.

e. 5-x^2=89 would be neither because there is only one variable and there is no value of y that can be solved for. While we can find an x value (or perhaps multiple x values depending on the equation) it wouldn't result in a graphable equation which is a necessity to be classified as a linear or quadratic. In fact, I believe this is actually just an equation and not a function at all and since linear and quadratics are forms of functions they cannot be either. This is because a function is defined as a relation between two variables where each input has one (and only one) output and this equation doesn't have two variables and wouldn't have an output.

f. Neither for the same reason as in e

Hope this helps!

Step-by-step explanation:

let the 3 consecutive odd number be

x + 1 , x + 3 , x + 5

as, there sum is 45. so, after inserting the values we got,

→ x + x + 1 + x + 3 = 45

→ 3x + 9 = 45

→ 3x = 45 - 9 = 36

→ x = 36/3 = 12

→ x = 12

therefore, 3 consecutive odd number are

→ x + 1 = 12 + 1 = 13

→ x + 3 = 12 + 3 = 15

→ x + 5 = 12 + 5 = 17

hope this answer helps you dear...take care and may u have a great day ahead!

Answer:

Y>1

Step-by-step explanation:

Answer:

Step-by-step explanation: to solve this we'd do 2-(-5) which is the same as  2 + 5 which is 7. final answer is 7/3 or if its a mixed number, 2 1/3

Answer:

Well think about it, the key words there are more than and less than so if he traveled let's say from his house until the first city that's 100 miles for the first one and then they say that he traveled 10 miles less than the distance from the first city until the second city. The total distance is 280 because if you read the very last sentence it says that from the original distance from the first city is about 100 miles and then it says if the the distance from the second city to the third city was the same that means that the equation goes like this: (90*2)+100 and in order to get this correctly you must do P.E.M.D.A.S which is parenthesis, exponents, multiplying, dividing, adding and subtracting so there you go.  

Answer:

Well think about it, the key words there are more than and less than so if he traveled let's say from his house until the first city that's 100 miles for the first one and then they say that he traveled 10 miles less than the distance from the first city until the second city. The total distance is 280 because if you read the very last sentence it says that from the original distance from the first city is about 100 miles and then it says if the the distance from the second city to the third city was the same that means that the equation goes like this: (90*2)+100 and in order to get this correctly you must do P.E.M.D.A.S which is parenthesis, exponents, multiplying, dividing, adding and subtracting so there you go.  

Step-by-step explanation:

Answer:

the larger number is 452/7 and the smaller number is 1356/28

Answer:

about 32 books (rounded)

Step-by-step explanation:

1412/135=32

Answer: Choice A

========================================================

Explanation:

A perfect square trinomial is of the form

(m+n)^2 = m^2 + 2mn + n^2

We can see why this works through use of the FOIL rule.

So the first and last terms must be perfect squares, and they must be positive. This rules out choices B and D since we have -4 and -9 as those last terms being negative.

Choice C is ruled out because the middle coefficient -9 isn't correct. The middle coefficient must be some even number since 2 is a factor of 2mn.

This leaves choice A. We can do a bit of trial and error to find that

(x-2)^2 = x^2 - 4x + 4

showing that choice A is a perfect square trinomial.

Answer:

A) x² - 4x + 4

Step-by-step explanation:

Given the following special factoring formulas on perfect square trinomials:

u² + 2uv + v² = (u + v)²

u² - 2uv + v² = (u - v)²

Apply these concepts on the given set of equations to see which special factoring formulas apply on the given options. I will only work on one of the given options, and you could apply these same techniques on the other ones to compare the results with your calculations.

To find the binomial factors of quadratic equations, you must find factors with product uv, and sum v.

In Option A: x² - 4x + 4

Right off the bat, it seems like the difference of squares may apply to this equation.  You must find the factors that will product of 4 and a sum of -4.

The possible factors are:

product uv: -2 × -2  = 4,

sum v :  -2 + -2 = -4

Hence, the binomial factor of x² - 4x + 4 =  (x - 2)²

If you expand this binomial through FOIL method:

(x - 2)(x - 2) = x² - 2x - 2x + 4 = x² - 4x + 4

This means that the trinomial x² - 4x + 4 produces a perfect square binomial factors of (x - 2)².

Therefore, the correct answer is Option A) x² - 4x + 4.

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Answer:

Length = 6 + 23 = 29 feet

Step-by-step explanation:

Width = x

Length = x + 23

2x + 2(x+23) = 70

2x + 2x + 46 = 70

4x = 70-46

x = 24/4

x = 6

Answer:

4x² - 6x

Step-by-step explanation:

2x(2x - 3)

Distribute 2x into the parenthesis:

2x(2x - 3)  = 4x² - 6x

2² × 23

Step-by-step explanation:

92 = 2 × 46

92 = 2 × 2 × 23

92 = 2² × 23

Answer:

x= -2

TO MUCH STEPS

So you know that all the angles in a triangle must add up to 180. Therefore, you can make this equation:

[tex](-20x+3)+(-40x+18)+(-15x+9)=180[/tex]

And now just solve for x!

[tex]-75x+30=180\\-75x=160\\x=\frac{160}{-75}\\x=-2.4[/tex]

So, your answer is:

x = -2.4

Answer:

3

Step-by-step explanation:

Answer:

greatest (2, 13/15, -0.75, -2) least

Step-by-step explanation:

Answer:

1/2(7.9-0.08) = 3.91

Step-by-step explanation:

Answer:

Step-by-step explanation:

Answer:

y=-2x-6

Step-by-step explanation:

You put the slope before the x and the y intercept goes at the end.

Answer:-3/2

Step-by-step explanation: transform the expression from 3/4+-9/4 to 3-9/4=-6/4 then reduce 6/4 to -3/2

Answer:

x=15,y=12

Step-by-step explanation:

Alternate angles are those angles that are on the opposite side of the parallel lines transverse with a line touching both parallel lines.

The value of x and y are 15 and 12.

x = 15

y = 12

Option A is the correct answer.

The angles that are in the same position on two parallel lines intersected by a transversal line on the parallel lines.

Corresponding angles are equal.

We have,

The figure contains four angles.

62 and (4x + 2) are alternate angles.

12y and 144 are alternate angles.

We know that alternate angles are equal.

So,

62 = 4x + 2 ____(1)

12y = 144 _____(2)

From (1) we get,

62 = 4x + 2

Subtract 2 on both sides.

62 - 2 = 4x + 2 - 2

60 = 4x

Divide both sides by 4.

4x = 60

x = 60/4

x = 15

From (2)

12y = 144

Divide both sides by 12.

y = 144/12

y = 12

Thus,

The value of x and y are 15 and 12.

x = 15

y = 12

Option A is the correct answer.

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Answer:

the following ordered pairs are your coordinates: (-3,-10), (-1, -4), (0,-1), (4,11)

Step-by-step explanation:

We can find these algebraically. First, you need to put your equation into the form y=mx+b. The m is the slope and the b is your y intercept. Once we have that equation, we just plug in the given X values to find their Y counterparts. The domain is simply the X coordinate and the range is the Y. I hope this helps!

Answer:

-9 degrees

Step-by-step explanation:

workings -3 * 3 =  -9 degrees

Answer:

m < 2 = 38°

Step-by-step explanation:

The exterior angle with the measure of < 38° corresponds to m < 2 (as they are corresponding angles that lie on the same side of the transversal). Therefore, m < 2 = 38°.