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Minchanka [31]
3 years ago
10

Find the values for c and d

Mathematics
1 answer:
baherus [9]3 years ago
6 0

Answer:

c=-5

d=1

Step-by-step explanation:

(cy^2)(4y^d)=-20y^3

I'm going to reorder the left-hand side.  Multiplication is commutative.

(4c)(y^2y^d)=-20y^3

Since the bases are the same in y^2y^d and the operation is multiplication, I'm going to add the exponents giving me:

4cy^{2+d}=-20y^3

So this implies we have two equations to solve:

4c=-20 and 2+d=3

So the first equation can be solved by dividing both sides by 4 giving you c=-5.

The second equation can be solved by subtracting 2 on both sides giving you d=1.

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9e - 7 = 7e - 11<br> solve for e
prisoha [69]

Answer:

e = -2

Step-by-step explanation:

9e - 7 = 7e - 11

Subtract 7e from both side

2e - 7 = -11

Add 7 to both sides

2e = -4

Divide by 2 to isolate e

e = - 2

4 0
2 years ago
Read 2 more answers
Find the area and perimeter
Ivenika [448]

Answer: area = 379.7 mm²

Perimeter = 95.84 mm

Step-by-step explanation:

The composite shape contains a semi circle and a trapezoid.

The area of a semi circle is

1/2 × πr²

Radius = diameter/2

Radius = 20/2 = 10 mm

Area = 1/2 × 3.14 × 10 = 15.7 mm²

Area of trapezoid is expressed as

1/2(a + b)h

Area = 1/2 × (20 + 32)14

Area = 1/2 × 52 × 14) = 364mm²

Area of the composite shape is

15.7 + 364 = 379.7 mm²

Formula for determining the perimeter of the semicircle is

1/2 × πd

Perimeter = 1/2 × 3.14 × 20 = 31.4mm

Looking at the attached photo, we would determine the slant height,h, by applying Pythagorean theorem which is expressed as

Hypotenuse² = opposite side² + adjacent side²

h² = 12² + 14² = 340

h = √340/= 18.44

Perimeter of the composite shape is

31.4 + 14 + 32 + 18.44 =95.84 mm

7 0
3 years ago
*simplify 5|-3+(-7)|=
Lena [83]

Answer:

-2l -3

Step-by-step explanation:

5l -3+ (-7)l

5l -3 -7l

5l -7l -3

-2l -3

6 0
2 years ago
Solve the inequality.
77julia77 [94]

42 < -6d

divide 6 by both sides,

7 < -d

(C) d > -7 is the answer.

6 0
3 years ago
Which of the following expression is equivalent to - m + 5? *
sammy [17]

Answer:

5-m is the expression is equivalent to - m + 5.

7 0
3 years ago
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