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4 years ago

8. The sum of two numbers is 23 less than twice the first number. Their difference is 19 less than

Mathematics

1 answer:

Katarina [22]4 years ago

4 0

Answer:

44, 21

Step-by-step explanation:

x+y = 2x-23

x-y = 2y - 19

Rewrite

-x + y = -23

x - 3y = -19

Use elimination.

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Samuel filled the glasses shown below completely with water. The total amount of water that Samuel poured into the glasses is 60

Rama09 [41]

The height of the cylinder (glass 1) we call h so the volume is 4πh cc.
The volume of the cone is ⅓×2.5²×6π=12.5π cc.
If we divide 60 by π we get 19.11 cc approx.
So 4h+12.5=19.11, 4h=6.61 cc and h=1.7 cm approx, answer 2.

3 0

3 years ago

Read 2 more answers

Find the base and height of a rectangle with vertices (-4,7), (-2,7), (-2,1), and (-4,1).

Salsk061 [2.6K]

Answer:

The height is 6 unit

The base is 2 units.

Step-by-step explanation:The given rectangle has vertices (–4, 7), (–2, 7), (–2, 1), and (–4, 1).

3 0

3 years ago

Help me please i've ask this 3 times and didn't get a correct answer

jasenka [17]

Answer:

240

Step-by-step explanation:

So to do this problem, you have to find the area of each 2d figure. To start off, you need to find the top sides. (to make this easier I won't show the work)

Green- Top & bottom: 16. Sides (4): 28

Pink- Top & bottom: 8. Sides (4): 20

Now you add it all up.

32+112+16+80=240

8 0

3 years ago

Read 2 more answers

What is the explicit formula for this sequence?

ddd [48]

Answer:

$a_n=-7+4(n-1)$

$a_n=-7+(n-1)(4)$

Step-by-step explanation:

-7,-3,1,5,... is a arithmetic sequence.

Arithmetic sequences have a common difference. That is, it is going up by 4 each time.

When you see arithmetic sequence, you should think linear equation.

The point-slope form of a line is $y-y_1=m(x-x_1)$ .

m is the common difference, the slope.

Any they are using the point at x=1 in the point slope form. So they are using (1,-7).

So let's put this into our point-slope form:

$y-(-7)=4(x-1)$

$y+7=4(x-1)$

Subtract 7 on both sides:

$y=-7+4(x-1)$

So your answer is

$a_n=-7+4(n-1)$

6 0

4 years ago

What is the answer plz I really need help

Liono4ka [1.6K]

6) slope is 1, y-intercept is 3, equation in slope-intercept form:

$y=x+3$

7) Slope of the line that goes through the points (3,9) and (-5,3) is $Slope=\frac{3}{4}$

8) Slope = m= $\frac{2}{3}$

y-intercept = b= -4

Step-by-step explanation:

6) Create table of coordinate points:

x y

-2 1

-1 2

0 3

1 4

2 5

Identify the slope:

Using formula:

$Slope=\frac{y_2-y_1}{x_2-x_1}$

Putting values:

$Slope=\frac{2-1}{-1-(-2)}$

$Slope=\frac{1}{-1+2}$

$Slope=\frac{1}{1}$

$Slope=1$

So, slope is 1

Identify y-intercept.

y-intercept is found when x=0, so, looking at the table when x = 0, y= 3 so, y-intercept is 3

Equation in the form: y=mx+b

here m is slope and b is y-intercept

Putting values:

$y=mx+b\\y=1x+3\\or\,\,y=x+3$

So, equation in slope-intercept form:

$y=x+3$

7) Find the slope of the line that goes through the points (3,9) and (-5,3)

Using formula:

$Slope=\frac{y_2-y_1}{x_2-x_1}$

Putting values:

$Slope=\frac{3-9}{-5-(3)}$

$Slope=\frac{-6}{-5-3}$

$Slope=\frac{-6}{-8}$

$Slope=\frac{3}{4}$

So, slope of the line that goes through the points (3,9) and (-5,3) is $Slope=\frac{3}{4}$

8) What is the slope and y-intercept of the following equation:

$y=\frac{2}{3}x-4$

The equation is in slope-intercept form

The general equation of slope-intercept form is:

$y=mx+b$

where m is slope and b is y-intercept

Comparing both equations we get:

Slope = m= $\frac{2}{3}$

y-intercept = b= -4

Keywords: Equation of line using Slope

Learn more about Equation of line using Slope at:

#learnwithBrainly

5 0

4 years ago