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Alona [7]
3 years ago
7

Find the equation of the line passes through (-3,-4) and whose slope is 3/2 in slope intercept form. (Algebra 2 or Geometry)

Mathematics
1 answer:
ioda3 years ago
4 0

Hey there! I'm happy to help!

Slope intercept form is y=mx+b, where m is the slope and b is the y-intercept. We already have the slope, so our equation so far is y=3/2x+b. We just need to find the b for it to be complete.

To do this, we plug in a point on the line and solve for b. We have a point (-3,-4), so let's use it and solve.

-4=3/2(-3)+b

Undo parentheses.

-4=-9/2+b

Add 9/2 to both sides

b=1/2

Therefore, our equation is y=3/2x+1/2.

Have a wonderful day! :D

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Checking my answer again: 11/16 + 1/4
Yuri [45]
15/16 should be the right answer b/c 1/4= 4/16
6 0
3 years ago
Which one is the answer???
-Dominant- [34]
D is correct because y on I doesn't equal y on II.
5 0
4 years ago
George and Carmen went on a bicycle trip. They took a bus to their starting point and then biked the rest. They traveled 350 kil
wlad13 [49]
Total distance covered by <span>George and Carmen
</span>x + y = 350
And they biked 80 kilometers more than they bussed
<span>80 + y = x </span>
Putting the value of x=80 + y in <span>x + y = 350:
</span>We get:
<span>80 + y + y = 350 </span>
<span>2y = 270 </span>
<span>y = 135 km</span>

<span>Substituting y = 135 in x + y = 350 </span>
<span>x + 135 = 350</span>
<span>x = 215 km </span>

Thus George and Carmen biked for 215 km and bussed for 135 km.
4 0
3 years ago
Given that a rectangle has a length of 5/2x + 10 with a width of 5/2x + 5, formulate an expression to represents the area of the
stepan [7]

Answer:

<h3>               A =  ²⁵/₄x² + ⁷⁵/₂x + 50</h3>

Step-by-step explanation:

L = ⁵/₂x + 10

W = ⁵/₂x + 5

A = L•W

A = (⁵/₂x + 10)(⁵/₂x + 5)

A = ⁵/₂x•⁵/₂x + ⁵/₂x•5 + 10•⁵/₂x + 10•5

A = ²⁵/₄x² + ²⁵/₂x + ⁵⁰/₂x + 50

A =  ²⁵/₄x² + ⁷⁵/₂x + 50

Or if yoy mean:

L = 5/(2x) + 10

W = 5/(2x) + 5

A = [5/(2x) + 10][5/(2x) + 5] = 25/(4x²) + 75/(2x) + 50

8 0
3 years ago
Solve x (give answer as fractions or integers). 2^x =1/2​
Rudik [331]

Answer:

x = -1

Step-by-step explanation:

When an exponent is negative, you have to move it to the denominator (or to the numerator if it's already on the denominator). Since the answer is \frac{1}{2}, you know that the 2 has been raised to the power of 1 (any number to the power of 1 is the same number), so you just make it negative. Hope that helps!

7 0
3 years ago
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