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yawa3891 [41]
3 years ago
8

A rectangle has a perimeter of 269.4 miles and a base of 77.6 miles. What is the height?

Mathematics
1 answer:
pantera1 [17]3 years ago
3 0

Answer:

57.1

Step-by-step explanation:

Perimeter Formula: P = 2l + 2w

Simply plug in what we know and solve:

269.4 = 2l + 2(77.6)

269.4 = 2l + 155.2

114.2 = 2l

l = 57.1

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(-19+7i)-(29+32i)=<br><br> in the form (a+bi)
olga_2 [115]
ANSWER

-48-25i

EXPLANATION

We want to simplify the expression,

(-19+7i) - (29+32i)

Let us expand the bracket to obtain,

-19+7i-29-32i

We now group the complex number parts and real number parts.

-19 -29+7i-32i


We simplify further to obtain,

- 48-25i


This is in the form,

a+bi

where

a=-48

and

b=-25
5 0
3 years ago
What are the solutions of this system of equations?
SpyIntel [72]

Answer:

Option C is correct.

Step-by-step explanation:

y = x^2-x-3     eq(1)

y = -3x + 5      eq(2)

We can solve by substituting the value of y in eq(2) in the eq(1)

-3x+5 = x^2-x-3

x^2-x+3x-3-5=0

x^2+2x-8=0

Now factorizing the above equation

x^2+4x-2x-8=0

x(x+4)-2(x+4)=0

(x-2)(x+4)=0

(x-2)=0 and (x+4)=0

x=2 and x=-4

Now finding the value of y by placing value of x in the above eq(2)

put x =2

y = -3x + 5

y = -3(2) + 5

y = -6+5

y = -1

Now, put x = -4

y = -3x + 5

y = -3(-4) + 5

y = 12+5

y =17

so, when x=2, y =-1 and x=-4 y=17

(2,-1) and (-4,17) is the solution.

So, Option C is correct.

7 0
3 years ago
Read 2 more answers
So I’m doing my homework and I don’t know 3 2/3 + 5/4
vivado [14]

Answer:

4 11/12

Step-by-step explanation:

4 x 2/3 = 8/12

3 x 5/4 = 15/ 12

8/12 + 15/12 = 23/12 = 1 11/12 + 3 = 4 11/12

3 0
3 years ago
Tomas bought 80 tickets for rides at an amusement park. Each ride costs 5 tickets, and Tomas has been on x rides so far. Which e
Alex Ar [27]

Answer:

Option A, C and D are correct choices.

Step-by-step explanation:

Let x be the number of rides that Tomas has been on so far. Each ride costs 5 tickets. This means that cost of x rides will be 5x.

We are told that Tomas bought 80 tickets for rides at an amusement park.

To find the number of of tickets that Tomas has left we will subtract cost of x rides from total number of tickets that Thomas bought.

We can represent this information in an expression as: 80-5x

Now let us see which of our given choices in equivalent to our expression.

A. 80-5x

Upon looking at option A we can see that it is same as our expression, therefore, option A is the correct choice.

B. 80+5x

We can see that in this expression cost of x rides in being added instead of subtraction, therefore, option B is not a correct choice.

C. 5(16-x)

Upon distributing 5 we will get,

80-5x

Now this expression is same same as our expression, therefore, option C is the correct choice.

D. -5x+80

This expression is also same as our expression as we can rearrange the terms in this expression as: 80-5x, therefore, option D is a correct choice as well.

E. 5(16+x)

Upon distributing 5 we will get,

80+5x

We can see that in this expression cost of x rides in being added instead of subtraction, therefore, option E is not a correct choice.

6 0
3 years ago
Y=x^{2}+6x+14 in vertex form
givi [52]

Answer:

y=(x+3)^2 +5

Step-by-step explanation:

7 0
2 years ago
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