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Arturiano [62]
3 years ago
13

Whats equivalent expression to 48j+36 with __(4j+__)

Mathematics
2 answers:
Stells [14]3 years ago
6 0
12(4j+3)

because both are divisible by 12
romanna [79]3 years ago
3 0
48j+36 is equivalent, or equal, to ___(4j+___)

So, to find out our answer, we would look at 48j and 4j, and see what number times 4 equals 48. Our number would be 12, because 12 × 4 = 48, which works with our equation.

So now we have: 48j+36 =  12(4j+__)

Now, we look at 36 and 12. What times 12 equals 36?? 3

So, our answer would be:

48j+36 = 12 (4j+3)

Simplify the answer to check our work.

48j+36 = 48j+36

So, our answer is 12 (4j+3)

~Hope I helped!~
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anastassius [24]
The y-intercept is 10 hours and it represents the number of hours it took to empty one tank
3 0
3 years ago
QUESTION 2
Rasek [7]

Answer:

0.3

Step-by-step explanation:

3/10 equals 0.3. Hope this helps :)

6 0
3 years ago
(Problem on image.)...
ANEK [815]
Hey there! :) 

In order to the find the missing side length of this triangle, we'll need to use the Pythagorean Theorem! 

That equation is : a² + b² = c²

a = adjacent side

b = long side of rectangle

c = hypotenuse

We're already given the values of both a & c, so let's plug everything in! 

a² + b² = c²  → a = 10 , b = ? , c = 20

(10²) + b² = (20²)

Simplify.

100 + b² = 400

Subtract 100 from both sides.

b² = 400 - 100

Simplify.

b² = 300

Get the square root of b² & 300.

\sqrt{b^2} =  \sqrt{300}

Simplify!

b = 17.3

So, the missing side length is the first answer choice : 17.3

~Hope I helped!~
7 0
3 years ago
Find two consecutive even integers whose sum is 22
andrew11 [14]

10 & 12

x = 1st consecutive even number

x + 2 = 2nd consecutive even number  

x + x + 2 = 22

2x + 2 = 22

2x = 20

x = 10

x + 2 = 12

10 and 12 are the two consecutive even numbers



7 0
3 years ago
Write an equation of the perpendicular bisector of the segment with the endpoints (8,10) and ( -4,2).
ale4655 [162]

Answer:

The required equation is:

y = -\frac{3}{2}x+9

Step-by-step explanation:

To find the equation of a line, the slope and y-intercept is required.

The slope can be found by finding the slope of given line segment. A the perpendicular bisector of a line is perpendicular to the given line, the product of their slopes will be -1 and it will pass through the mid-point of given line segment.

Given points are:

(x_1,y_1) = (8,10)\\(x_2,y_2) = (-4,2)

We will find the slope of given line segment first

m = \frac{y_2-y_1}{x_2-x_1}\\= \frac{2-10}{-4-8}\\=\frac{-8}{-12}\\=\frac{2}{3}

Let m_1 be the slope of perpendicular bisector then,

m.m_1 = -1\\\frac{2}{3}.m_1 = -1\\m_1 = \frac{-3}{2}

Now the mid-point

(x,y) = (\frac{x_1+x_2}{2} , \frac{y_1+y_2}{2})\\= (\frac{8-4}{2} , \frac{10+2}{2})\\=(\frac{4}{2}, \frac{12}{2})\\=(2,6)

We have to find equation of a line with slope -3/2 passing through (2,6)

The equation of line in slope-intercept form is given by:

y = m_1x+b

Putting the value of slope

y= -\frac{3}{2}x+b

Putting the point (2,6) to find the y-intercept

6 = -\frac{3}{2}(2)+b\\6 = -3+b\\b = 6+3 =9

The equation is:

y = -\frac{3}{2}x+9

7 0
2 years ago
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