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Angelina_Jolie [31]
4 years ago
12

Twice the difference of a number and 7 is equal to three times the sum of the number and 9

Mathematics
1 answer:
saw5 [17]4 years ago
7 0

Step-by-step explanation:

2x- 7 = 3x + 9

-1× - 7 = 9

-1x = 2

x = -2

*correct me if im wrong*

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A rectangular painting has an area of (2x^2 + 8x + 6) cm^2 . Its length is (2x + 2) cm. Find the width of the painting.
Gnesinka [82]

Answer:

Width = x + 3

Step-by-step explanation:

The formula for the area of a rectangle is:  A = LW, where A=area, L = length and W = width.  In order to get the expression for the value of the width, you first need to factor each equation given for both the area and the length.  Starting with the length (2x + 2), you can factor out the 2 to get: 2(x+1).  With the area: 2x² + 8x + 6, you can first factor out the 2 to get:  2(x² + 4x + 3).  Next, you can factor the polynomial: 2(x + 3)(x + 1).  Lastly, in order to find the width, you divide the area by the length:

\frac{2(x + 3)(x + 1)}{2(x+1)}

Crossing out the common terms from the numerator and denominator, '2' and '(x + 1)', we get a final answer of W = x + 3.

8 0
4 years ago
What is the slope of a line that contains the points (-2,2) and (3,4)
vlada-n [284]

Answer:

The slope of the line that passes through these two points is 2/5

hope this helps ;)

Step-by-step explanation:

to find the slope (m) use the slope formula

m= y2-y1 / x2-x1

*plug in your points*

m= 4-2 / 3- -2    note here the <u>3- -2</u> changes to <u>3+2</u>

solve for m

m= 2/ 5  

slope= 2/5



4 0
3 years ago
Read 2 more answers
Compare [3] and [ – 8|
mariarad [96]

Answer:

3 > -8

Step-by-step explanation:

-8 -7 -6 -5 -4 -3 -2 -1 <u>0</u> 1 2 3 ....

-8< 3

7 0
3 years ago
These are all my points I'm desperate please help I've posted this 4 other times
Juliette [100K]

Answer:

y = (x+3)^2 -1

Step-by-step explanation:

The vertex form of the equation is

y = a(x-h)^2 +k  where (h,k) is the vertex

The vertex is (-3,-1)

y = a(x- -3)^2 -1

y = a(x+3)^2 -1

Pick another point  (-2,0) and substitute it into the equation

0 = a(-2+3)^2 -1  to find a

0 =a(1)^2 -1

0 = a-1

1 = a

y = (x+3)^2 -1

8 0
3 years ago
Read 2 more answers
Jackson estimated 637 ÷ 78 as 640 ÷ 80. He reasoned that 64 tens divided by 8 tens should be 8 tens. Is Jackson’s reasoning corr
Sholpan [36]

Answer:

the correct solution has been explained

Step-by-step explanation:

Jackson,s reasoning is incorrect  because it should be 8 ones and not 8 tens that would give 64

\frac{640}{80} = \frac{64}{8} = 8

Moreover, \frac{637}{78}  is\ not\ equal\ to \frac{640}{8}

as \frac{637}{78}= 8.16

whereas \frac{640}{80} = 8

clearly, both quantities are different

7 0
4 years ago
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