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gogolik [260]
3 years ago
11

30 POINTS HELP PLEASE

Mathematics
1 answer:
Reptile [31]3 years ago
8 0

Answer:

\large\boxed{a=-3,\ b=-7\ and\ c=3}

Step-by-step explanation:

ax^2+bx+c=0

We have:

-3a^2=7a-3          <em> subtract 7a from both sides</em>

-3a^2-7a=7a-7a-3

-3a^2-7a=-3           <em>add 3 to both sides</em>

-3a^2-7a+3=-3+3\\\\-3a^2-7a+3=0\to a=-3,\ b=-7, c=3

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The area of ABED is 49 square units. Given AGequals9 units and ACequals10 ​units, what fraction of the area of ACIG is represent
stiks02 [169]

Answer:

The fraction of the area of ACIG represented by the shaped region is 7/18

Step-by-step explanation:

see the attached figure to better understand the problem

step 1

In the square ABED find the length side of the square

we know that

AB=BE=ED=AD

The area of s square is

A=b^{2}

where b is the length side of the square

we have

A=49\ units^2

substitute

49=b^{2}

b=7\ units

therefore

AB=BE=ED=AD=7\ units

step 2

Find the area of ACIG

The area of rectangle ACIG is equal to

A=(AC)(AG)

substitute the given values

A=(9)(10)=90\ units^2

step 3

Find the area of shaded rectangle DEHG

The area of rectangle DEHG is equal to

A=(DE)(DG)

we have

DE=7\ units

DG=AG-AD=9-7=2\ units

substitute

A=(7)(2)=14\ units^2

step 4

Find the area of shaded rectangle BCFE

The area of rectangle BCFE is equal to

A=(EF)(CF)

we have

EF=AC-AB=10-7=3\ units

CF=BE=7\ units

substitute

A=(3)(7)=21\ units^2

step 5

sum the shaded areas

14+21=35\ units^2

step 6

Divide the area of  of the shaded region by the area of ACIG

\frac{35}{90}

Simplify

Divide by 5 both numerator and denominator

\frac{7}{18}

therefore

The fraction of the area of ACIG represented by the shaped region is 7/18

5 0
2 years ago
A nursery has $50,000 of inventory in dogwood trees and red maple trees. The profit on a dogwood tree is 27% and the profit on a
nasty-shy [4]

Answer:

Sorry do not have your answer

Step-by-step explanation:

5 0
2 years ago
An airplane is flying from New York City to Los Angeles the distance it travels in Miles D is related to the time in seconds T b
tatiyna

Answer:

It takes 85 seconds to go 12.75 miles

Step-by-step explanation:

We are given

An airplane is flying from New York City to Los Angeles

the distance it travels in Miles D is related to the time in seconds T by the equation

d=0.15T

we are given to find time when distance is 12.75 miles

so, we can set d=12.75

and then we can solve for T

12.75=0.15T

We can divide both sides by 0.15

T=\frac{12.75}{0.15}

T=85

So,

It takes 85 seconds to go 12.75 miles

6 0
2 years ago
2/9 of the members are boys in a community service club. if there are 95 more girls than boys, how many girls are there in club?
Talja [164]

Answer:

There are 171 members in the club

Number of boys = 38

Number of girls = 133

Step-by-step explanation:

Let

x = total members of the club

Boys = 2/9x

if there are 95 more girls than boys

Girls = 2/9x + 95

how many girls are there in club?

Total members in the club = boys + girls

x = 2/9x + 2/9x + 95

x = 2+2/9x + 95

x = 4/9x + 95

x - 4/9x = 95

9x-4x/9 = 95

5/9x = 95

Divide both sides by 5/9

x = 95 ÷ 5/9

= 95 × 9/5

= 855/5

= 171

boys = 2/9x

= 2/9 * 171

= 342 / 9

= 38

Girls = 2/9x + 95

= 38 + 95

= 133

Total = 38 + 133

= 171

There are 171 members in the club

Number of boys = 38

Number of girls = 133

5 0
3 years ago
Which of the following are square roots of 265
Studentka2010 [4]

Answer:

Step-by-step explanation:

5 0
2 years ago
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