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3 years ago

2x-4≤ 12_ 3x+2≤ 20_ 11x -50≤ 82___

Mathematics

1 answer:

nydimaria [60]3 years ago

3 0

Answer:

i dont know sorry

Step-by-step explanation:

im very sorry

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3.1 Find the equation of the line passing through (4, 5) and parallel to the line 3x – 2y = 4.

valentinak56 [21]

$\rule{50}{1}\large\blue\textsf{\textbf{\underline{Question:-}}}\rule{50}{1}$

<em>Find the equation of the line passing through (4, 5) and parallel to </em>

<em />

<em> </em> $\rule{50}{1}\large\blue\textsf{\textbf{\underline{Answer and how to solve:-}}}\rule{50}{1}$

First of all, We need to convert this equation from standard form (ax+by=c) into slope-intercept form (y=mx+b).

$\rightarrow$ First, add 2y on both sides:-

$\Large\textsf{3x+2y=4}$

$\rightarrow$ Now, subtract 3x on both sides:-

$\Large\textsf{2y=-3x+4}$

$\rightarrow$ Divide by 2 on both sides

$\Large\text{$y=-\displaystyle\frac{3}{2}x +2$}$

$\rule{300}{3}$

Now, let's find the equation of the line that's parallel to the given line.

Remember, if lines are parallel to each other, then their slope's the same.

So the slope of the line that's parallel to the line whose equation we just found, is

$\Large\text{$-\displaystyle\frac{3}{2}$}$

Now let's write the equation in point-slope form:-

$\hookrightarrow\sf{y-y_1=m(x-x_1)}$

Replace numbers with letters, as follows:-

$\sf{y-5=-\displaystyle\frac{3}{2} (x-4)}$

The equation above is the equation in point-slope form.

Incase you need it converted to slope intercept form, refer to the steps below ~

Multiply -3/2 times x and -4:-

$\hookrightarrow\sf{y-5=-\displaystyle\frac{3}{2} x-6}$

Now, Add 5 on both sides:-

$\hookrightarrow\sf{y=\displaystyle\frac{3}{2} x+1}$

$\Uparrow\sf{Our\:equation\:in\:slope\;intercept\;form}$

<h3>Good luck with your studies.</h3>

#TogetherWeGoFar

$\rule{300}{1}$

4 0

2 years ago

Sally walked 3/4 miles east from her house to the bank. Then she walked 1/3 mile west to a gift shop. From the gift shop she wal

gregori [183]

1.25 miles is how far the grocery store is

6 0

4 years ago

Jim makes $480 in a 4-week period helping his grandfather on the farm, He spends an average of 15 hours a week

marin [14]

Answer:

he makes $8 an hour

Step-by-step explanation:

Since he makes $480 over 4 weeks you divide that by 4 and you should get 120. So that means he makes $120 in one week and since he works 15 hours a week you divide 120 by 15 and you should get 8

6 0

3 years ago

Read 2 more answers

Two complex numbers are given byz1= 3 +j4 andz2= 2 +j3. Determine in both polar andCartesian forms

Marat540 [252]

Answer:

Cartesian

z₁= 3 +4*j

z₂= 2 +3*j

Polar

z₁=5 * e^ (0.927*j)

z₁=√13 * e^ (0.982*j)

Step-by-step explanation:

for the complex numbers z the cartesian form of is

z= x + y*j

then

1) z₁= 3 +4*j (cartesian form)

2) z₂= 2 +3*j (cartesian form)

the polar form is

z= r* e^jθ

where

r= √(x²+y²) → r₁ = √(3²+4²) = 5 , r₂ = √(2²+3²) = √13

and

θ = tan⁻¹ (y/x) → θ₁ = tan⁻¹ (4/3)= 0.927 rad , θ₂ = tan⁻¹ (3/2)= 0.982 rad

then

z₁=5 * e^ (0.927*j)

z₁=√13 * e^ (0.982*j)

3 0

4 years ago

Tom is 3 years older than Annika. Find Tom's age, given that the relationship between the ages of Tom and Annika is 15:18.

Sav [38]

Step-by-step explanation:

18 years because Tom's is 3 years old than akina and 15 + 3 is 18

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3 years ago

2x-4≤ 12___ 3x+2≤ 20___ 11x -50≤ 82___

2x-4≤ 12_ 3x+2≤ 20_ 11x -50≤ 82___