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kow [346]
3 years ago
7

A rectangle has length (4x+5) and breadth 3x.Find the area of the rectangle.​

Mathematics
2 answers:
vodomira [7]3 years ago
5 0

Answer:

area =

Step-by-step explanation:

(4x+5)×3× = 12×^2+15

because

area = length × breadth

ans= 12x^2+15.

aivan3 [116]3 years ago
3 0

Step-by-step explanation: Area of a rectangle is length * breadth= distributive property of multiplication :(4x+5)*3x= 12x^2+15x [m^2 or sq.m}

 

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If f(x) = 4x + 2 and g(x) = 2x – 7<br> find f(g(3)).
antiseptic1488 [7]

Answer:

-2

Step-by-step explanation:

g(3)= 2(3)-7

g(3)= 6-7

g(3)= -1

f(g(3))= 4(-1)+2

f(g(3))= -4+2

f(g(3))= -2

6 0
3 years ago
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Solve for x. 3(x + 2) = 12
VMariaS [17]
X=2 is the correct answer

3 0
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Consider the following frequency distribution:
daser333 [38]

Answer:

        Relative frequency

        0.214

        0.268

        0.446  

        0.071

Total  1

Step-by-step explanation:

The relative frequency is computed by dividing the individual frequencies to the sum of frequencies.

sum of frequencies=12+15+25+4=56

Class     Relative Frequency

10-20       12/56=0.214

20-30      15/56=0.268

30-40      25/56=0.446

40-50      4/56=0.071

Total         12/56+15/56+25/56+4/56=56/56=1

8 0
4 years ago
Slope intercept form of a line that has a slope of -3/4 and passes through (4, 3)
tia_tia [17]
<h3><u>Explanation</u></h3>
  • First Method

We have the given slope value and the coordinate point that the graph passes through.

y = mx + b

where m = slope and b = y-intercept. Substitute the value of slope in the equation.

y =  -  \frac{3}{4} x + b

We have the given coordinate point as well. After we substitute the slope, we substitute the coordinate point value in the equation.

3 =  -  \frac{3}{4} (4) + b \\

<u>Solve</u><u> </u><u>the</u><u> </u><u>equation</u><u> </u><u>for</u><u> </u><u>b-term</u>

3 =  - 3 + b \\ 3 + 3 = b \\ 6 = b

The value of b is 6. We substitute the value of b in the equation.

y =  -  \frac{3}{4} x + 6

  • Second Method

We can also use the Point-Slope form to solve the question.

y - y_1 = m(x - x_1)

Given the y1 and x1 = the coordinate point value.

Substitute the slope and coordinate point value in the point slope form.

y - 3 = -  \frac{3}{4} (x - 4)

<u>Simplify</u><u>/</u><u>Convert</u><u> </u><u>into</u><u> </u><u>Slope-intercept</u>

y =  -  \frac{3}{4} (x - 4) + 3 \\ y =  -  \frac{3}{4} x +  \frac{12}{4}  + 3 \\ y =  -  \frac{3}{4} x + 3 + 3 \\y =  -  \frac{3}{4} x + 6

<h3><u>Answer</u></h3>

<u>\large \boxed {y =  -  \frac{3}{4} x + 6}</u>

6 0
3 years ago
Solve for n.<br> n + 1 = 4(n - 8)<br> n = 1<br> T<br> n = 8<br> n = 11<br> n = 16
Komok [63]

Answer:

n=11

Step-by-step explanation:

n+1=4(n-8)

11+1=4(11-8)

12=4(3)

12=12

3 0
3 years ago
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