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kirza4 [7]
3 years ago
12

2 (y-3)=4 what's the answer

Mathematics
1 answer:
miskamm [114]3 years ago
7 0
2(y-3)=4
2y-6 = 4
   +6  +6
2y=10
/2   /2
y=5
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Between what two consecutive integers is <img src="https://tex.z-dn.net/?f=%5Csqrt182" id="TexFormula1" title="\sqrt182" alt="\s
Elden [556K]

Answer:

C. 13 and 14

Step-by-step explanation:

They notice that the square root of 182 is between 13 an 14, and it gives them the idea that the numbers 13 and 14 are the solution.

Let n be the smaller of the two consecutive integers.

   Then the other integer is  (n+1).

   We are given that  

      n*(n+1) = 182.

   Simplify

      n^2 + n - 182 = 0,

   Factor left side

      (n-13)*(n+14) = 0.

   The solutions are  n= 13  and  n= -14.

   You may check that both of them satisfy the problem' condition, giving you two answers

       the pair  (13,14)  and the pair  (-14,-13).

 

Many people prefer to solve this problem in a short way.

   They notice that the square root of 182 is between 13 an 14,

   and it gives them the idea that the numbers 13 and 14 are the solution.

   Then these people get the next idea that if the product of 13 and 14 is equal to 182,

   then the product of the opposite numbers is also 182, so

           both the pairs (13,14)  and  (-14,-13)  are solutions.

Solved and explained in detailed and short modes.

7 0
3 years ago
A parallelogram is formed by the supports that attach a basketball backboard and rim to the wall. The angles change as the baske
irina [24]

The measure of angle BCD is 32 degrees

<h3>How to determine the value of BCD?</h3>

The image of the parallelogram that completes the question is added as an attachment.

The given parameter is:

m<DAB = 32 degrees

From the attached image, we can see that BCD and DAB are opposite angles.

Opposite angles of a parallelogram are equal.

So, we have:

BCD = 32 degrees

Hence, the measure of BCD is 32 degrees

Read more about parallelograms at:

brainly.com/question/21322889

#SPJ1

3 0
2 years ago
6. In the figure below, measure of angle 1 = 3x + 5, measure of angle 2 = 5x - 18, and measure of angle 3 = 7x-2
Lesechka [4]
See photo for solution and mark me as brainliest if i helped :)

A: although it seems like they are forming a 90º angle, they actually add up to a 89 º angle and therefore are not complementary

B: see photo

4 0
3 years ago
Part ion even know of the hardest test
ladessa [460]

Given:

The equation of a line is:

y=-\dfrac{5}{7}x+2

A line passes through the point (-5,-3) and perpendicular to the given line.

To find:

The equation of the line.

Solution:

Slope intercept form of a line is:

y=mx+b                 ...(i)

Where, m is the slope and b is the y-intercept.

We have,

y=-\dfrac{5}{7}x+2          ...(ii)

On comparing (i) and (ii), we get

m=-\dfrac{5}{7}

We know that the product of slopes of two perpendicular lines is always -1.

m_1\times m_2=-1

-\dfrac{5}{7}\times m_2=-1

m_2=\dfrac{7}{5}

Slope of the required line is \dfrac{7}{5} and it passes through the point (-5,-3). So, the equation of the line is:

y-y_1=m_2(x-x_1)

y-(-3)=\dfrac{7}{5}(x-(-5))

y+3=\dfrac{7}{5}(x+5)

Using distributive property, we get

y+3=\dfrac{7}{5}(x)+\dfrac{7}{5}(5)

y+3=\dfrac{7}{5}x+7

y=\dfrac{7}{5}x+7-3

y=\dfrac{7}{5}x+4

Therefore, the equation of the line is y=\dfrac{7}{5}x+4. Hence, option A is correct.

4 0
3 years ago
Help me please. I will mark brainliest!
mel-nik [20]

Answer:

The answer is 6.5 hours.

Step-by-step explanation:

If you multiply the hours need to work during that week days(6) and the hours worked during the weekend(3.5) you get 33.5 hours worked over all. then, you subtract 40(the hours wanted) and 33.5(the hours worked normally) and you get 6.5.

4 0
3 years ago
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