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Fittoniya [83]
3 years ago
6

Help stuck on methods question ​

Mathematics
1 answer:
andreev551 [17]3 years ago
4 0

Answer:

x=3

Explanation:

Let's write an equation for the area of this figure.

This figure can be divided into 2 rectangles, a vertical and horizontal rectangle.

Area of rectangle= length× breadth

Area of vertical rectangle= 6x

Length of horizontal rectangle= (7 -x) cm

Area of horizontal rectangle= x(7-x)

Since total area= 30 cm^2,

6x+ x(7-x)= 30

6x +7x -x^2= 30 (expand)

-x^2 +13x-30= 0 (bring all terms to one side)

x^2 -13x +30= 0 (divide by -1)

(x -10)(x -3)= 0 (factorise)

x -10= 0 or x -3= 0

x= 10 or x= 3

(reject)

We reject x=10 since from the diagram, x cm is less than 6cm.

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Answer:

slope = -1

Step-by-step explanation:

y2-y1 divided by x2-x1

3-7= -4

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3 years ago
Use substitution to solve the following system of equations. What is the value of y? {3x+2y=12{5x−y=7 A) y = -3B) y = 3C) y = -2
Vlad [161]

<em>Answer</em>

B) y = 3

<em>Step-by-step explanation</em>

Given the system of equations:

\begin{gathered} 3x+2y=12\text{ \lparen eq. 1\rparen} \\ 5x-y=7\text{ \lparen eq. 2\rparen} \end{gathered}

Isolating x from equation 1:

\begin{gathered} 3x+2y-2y=12-2y \\ 3x=12-2y \\ \frac{3x}{3}=\frac{12-2y}{3} \\ x=\frac{12}{3}-\frac{2}{3}y \\ x=4-\frac{2}{3}y\text{ \lparen eq. 3\rparen} \end{gathered}

Substituting equation 3 into equation 2 and solving for y:

\begin{gathered} 5(4-\frac{2}{3}y)-y=7 \\ 5\cdot4-5\cdot\frac{2}{3}y-y=7 \\ 20-\frac{10}{3}y-y=7 \\ 20-\frac{13}{3}y=7 \\ 20-\frac{13}{3}y-20=7-20 \\ -\frac{13}{3}y=-13 \\ (-\frac{3}{13})\cdot-\frac{13}{3}y=(-\frac{3}{13})\cdot-13 \\ y=3 \end{gathered}

6 0
11 months ago
What is the range of the function for the given domain
AleksAgata [21]

Answer:

thethe answer is the 3rd one

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3 years ago
The ratio of berries to oranges is 10:1 if there are 25 oranges, how many berries are there?
Kryger [21]

Answer:

250 berries

Step-by-step explanation:

There are 10 berries to every orange there is. It is given that there are 25 oranges. Simply multiply 10 with 25:

10 x 25 = 250

There are 250 berries.

~

3 0
3 years ago
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You spin a spinner and flip a coin find the probability of the compound event the probability of spinning an even number and fli
Anastaziya [24]

Answer: their is 50 percent that it will land on heads

Step-by-step explanation: it will have a completely random chance no matter how many times you flip a coin on tails it will always have a fifty percent chance even if you flipped the coin 1000000 and it landed on tails all those times it would still have the fifty fifty probability of landing on heads hope this has helped and good question  

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