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Ilia_Sergeevich [38]
3 years ago
10

What is an equation of the line that is perpendicular to y=-x+3 and passes through the

Mathematics
1 answer:
Vinvika [58]3 years ago
6 0

Answer:

y = x + 8

Step-by-step explanation:

To make a perpendicular point, you have to make the slope an opposite reciprocal.

Since the original slope is -1, then it just becomes positive 1, or just x by itself.

But next, you need to use the point slope formula to make the rest of the equation.

POINT SLOPE FORMULA: y - y1 = m (x - x1)

insert the given info. y - 12 = 1 (x - 4)

Move the constants on the left to the right.

y - 12 = 1 (x - 4)

+12 +12

➡️y = x + 8

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Answer: 5a + 2b

Step-by-step explanation:

She purchased 12a pounds of apples and she used 7a pounds, so that means 12a - 7a = 5a

She purchased 4b pounds of bananas and used 2b pounds, so that means 4b - 2b = 2b

5 0
3 years ago
2. If your gross biweekly salary is $3,290, then how much is your annual salary?<br> I
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Answer:

Annual Salary = $85,540

Step-by-step explanation:

There are 52 weeks in a year.

If bi weekly salary is $3290

Then you get paid 26 times.

Therefore annual salary = 26 × 3290 =$85,540

6 0
3 years ago
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Simplify:
Dennis_Churaev [7]

Step-by-step explanation:

5^5•5 = 5^3

y^2/y= y^1 =y

a^2•a^3•a= a^6

b^5/b^7= b^-2

y^5/y^4=y

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8 0
3 years ago
3 1/2 + 2 3/4 + 1 1/4 + 1 1/4
babunello [35]

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8 3/4

Step-by-step explanation:

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A solid right circular cone of diameter 14cm and height 8cm is melted to form a hollow sphere. If the external diameter of the s
pshichka [43]

Answer:

Step-by-step explanation:

Diameter of cone=14 cm

so, Radius of cone= 7cm

     Height of cone= 8cm

     ∴ Volume of cone= 1/3*pi*r^2*h

                                 =1/3*pi*49*8 cm^3

In Sphere, External Radius R=5cm

         Let, Internal Radius = r  

   Volume of Sphere = External Volume- Internal Volume

                                 = 4/3*pi*R^3-4/3*pi*r^3

                                 =4/3*pi[R^3-r^3]

                                 =4/3*pi[5^3-r^3]

But During Conversion Volume Remains Same

    So, Volume of Sphere=Volume of Cone

           4/3*pi[125-r^3]= 1/3*pi*49*8

           4[125-r^3]=49*8

             [125-r^3]=49*2

              r^3=125-98

              r^3=27

              so, r =3 cm

          Internal Radius= 3cm

   So, Internal Diameter=3*2= 6cm

PLS MARK BRAINLIEST

5 0
3 years ago
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