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3 years ago

Helpppppppppppppppppppp

Mathematics

1 answer:

m_a_m_a [10]3 years ago

4 0

Answer:

option a

1/3=x/42

..........

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Line l passes through the point of intersection,A, of the lines 4x-3y+4=0 and x+2y=5. Without finding A,find the equation of lin

klemol [59]

Answer:

$\large\boxed{y=\dfrac{15}{14}x+1.5}$

Step-by-step explanation:

The slope-intercept form of an equation of a line:

$y=mx+b$

m - slope

b - y-intercept

------------------------------------------------------------------------

You must solve the system of equations:

$\left\{\begin{array}{ccc}4x-3y+4=0&(1)\\x+2y=5&(2)\\y=mx+1.5&(3)\end{array}\right\qquad\text{substitute (3) to (1) and (2)}\\\\\left\{\begin{array}{ccc}4x-3(mx+1.5)+4=0\\x+2(mx+1.5)=5\end{array}\right\qquad\text{use the distributive property}\\\left\{\begin{array}{ccc}4x-3mx-4.5+4=0\\x+2mx+3=5&\text{subtract 3 from both sides}\end{array}\right\\\left\{\begin{array}{ccc}4x-3mx-0.5=0&\text{add 0.5 to both sides}\\x+2mx=2\end{array}\right\\\left\{\begin{array}{ccc}4x-3mx=0.5&\text{multiply both sides by 2}\\x+2mx=2&\text{multiply both sides by 3}\end{array}\righ$

$\underline{+\left\{\begin{array}{ccc}8x-6mx=1\\3x+6mx=6\end{array}\right}\qquad\text{add both sides of the equations}\\.\qquad11x=7\qquad\text{divide both sides by 11}\\.\qquad x=\dfrac{7}{11}\\\\\text{Put the value of}\ x\ \text{to the second equation:}\\\\\dfrac{7}{11}+2m\left(\dfrac{7}{11}\right)=2\qquad\text{multiply both sides by 11}\\\\7+2m(7)=22\qquad\text{subtract 7 from both sides}\\\\14m=15\qquad\text{divide both sides by 14}\\\\m=\dfrac{15}{14}$

8 0

3 years ago

The sum of two numbers is 2. The difference between them is What is their product?

n200080 [17]

Answer:

1+1=2 hhsshdhdbbdvdvd

7 0

3 years ago

Read 2 more answers

X1 + X2 =-8 3X1 +2X2 = 18

IRISSAK [1]

Answer:

X1 = 34

X2 = -42

Step-by-step explanation:

Given the simultaneous equations

X1 + X2 =-8 .... 1 * 3

3X1 +2X2 = 18 .... 2 * 1

______________________

3X1 + 3X2 = -24

3X1 +2X2 = 18

Subtract

3X2 - 2X2 =-24 - 18

X2 = -42

Substitute X2 = -42 into 1

X1 + X2 = -8

X1 - 42 = -8

X1 = -8+42

X1 = 34

Hence the solution to the system of equation is (34, -42)

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3 years ago

3 divided by 1/6.......................

Mila [183]

Answer:

I believe the answer is 18/1

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3 years ago

Which statement is most likely to be true for this distribution?

lozanna [386]

Answer:

Step-by-step explanation:

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