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Lilit [14]
3 years ago
14

Find the slope and the y intercept

Mathematics
1 answer:
SVETLANKA909090 [29]3 years ago
7 0
Slope = 4/3
Y intercept = (0,2)
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The second 5x - 4y = 7
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What is the value of x?<br> Enter your answer in the box.<br> x I will give you a heart and 5 stars
Agata [3.3K]

Answer:

{ \tt{ \frac{56}{44.8}  =  \frac{35 }{(x + 4)} }} \\  \\ { \tt{56(x + 4) = 35 \times 44.8}} \\ \\  { \tt{56x + 224 = 1568}} \\  \\ { \tt{56x = 1344}} \\  \\ { \tt{x =  \frac{1344}{56} }} \\  \\ { \tt{x = 24}}

7 0
3 years ago
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What is the area of the triangle whose vertices are D( 3, 3), E(3, -1), and F(-2, -5)?
ycow [4]

<u>Answer-</u>

<em>Area of the triangle is </em><em>10 sq.units</em>

<u>Solution-</u>

We know that,

\text{Area of the triangle}=\dfrac{1}{2}[{x_1(y_2-y_3)+x_2(y_3-y_1)+x_3(y_1-y_2)]

Taking,

(x₁, y₁) = (3, 3)

(x₂, y₂) = (3, -1)

(x₃, y₃) = (-2, -5)

Then putting these in the formula,

\text{Area of the triangle}=\dfrac{1}{2}[3(-1+5)+3(-5-3)-2(3+1)]

=\dfrac{1}{2}[3(4)+3(-8)-2(4)]

=\dfrac{1}{2}[12-24-8]

=\dfrac{1}{2}[-20]

=-10

As area can not be negative, ignoring negative sign,

\text{Area of the triangle}=10

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3 years ago
A straight line PQ cuts the x andy axis at M and N respectively. If the points A(-3,5) and B(4,7) lies on PQ , calculate
aivan3 [116]
Could you show us a picture of the question
8 0
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If y varies directly as x and z and y=4 when x=6 and z=1 find y when x=7 and z=4
yawa3891 [41]

<u>Answer-</u>

<em>The value of y is \dfrac{56}{3} when x=7 and z=4.</em>

<u>Solution-</u>

As given in the question, y is directly proportional to x, so

y\propto x   -----------------1

And also y is directly proportional to z, so

y\propto z   -----------------2

Combining equation 1 and 2,

\Rightarrow y\propto x.z

\Rightarrow y=k.x.z

Where,

k = proportionality constant

When x=6 and z=1, y=4. Putting theses values,

\Rightarrow 4=k\times 6\times 1

\Rightarrow 4=6k

\Rightarrow k=\dfrac{4}{6}

\Rightarrow k=\dfrac{2}{3}

Now, we have to find the value of y, when x=7 and z=4

\Rightarrow y=\dfrac{2}{3}\times 7\times 4

\Rightarrow y=\dfrac{56}{3}

Therefore, the value of y is \dfrac{56}{3} when x=7 and z=4.

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3 years ago
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