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3 years ago

Geometry math question no Guessing and Please show work thank you

Mathematics

2 answers:

Lelu [443]3 years ago

5 0

DE + EF = 4x+2

DE = x+7

EF = 7

Substitute these in

x + 7 + 7 = 4x + 2

x + 14 = 4x + 2

subtract x from both sides

14 = 3x + 2

subtract 2 from both sides

3x = 12

divide both sides by 3

x = 4

substitute this in to find the length of DE

DE = x + 7

(4) + 7 = 11

the answer is 11

makvit [3.9K]3 years ago

3 0

From figure we can see that:

DE=DF -EF

x+7 = 4x+2-7

combining like terms

x+7=4x-5

subtract x on the right side from 4x

7=(4x-x) -5

7=3x-5

add 5 on the left side

7+5=3x

12=3x

divide both sides by 3

x=4

DE=x+7 =4+7

DE=11

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Step-by-step explanation:

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Solving:

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x^4 + 3x^3 − 8x^2 + 5x − 25 / x+5 = x^3-2x^2 +2x -5

So, factors are (x+5) (x^3-2x^2 +2x -5)

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3 years ago

Susan purchased company ABC's stock and invested the balance in her money market account. ABC's stock yielded 13% last year and

garri49 [273]

$4,000 is invested in ABC's stock and $11,000 is invested in her market account

Step-by-step explanation:

Susan purchased company ABC's stock and invested the balance in her money market account

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Susan's initial investments amount to $15000, and the annual income is $1070

We need to find how much money is invested in stock and how much is invested in her money market account

Assume that she invested $x in ABC's stock and $y in her money market account

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∵ She invested $y in her market account

∵ Her initial investments amount is $15000

∴ x + y = 15000 ⇒ (1)

The interest formula is I = Prt, where P is the initial investment, r is the rate of interest in decimal and t is the time

In ABC's stock:

∵ She invested $x

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∵ t = 1

- Substitute all of these values in the formula of interest above

∴ $I_{ABC}$ = x(0.13)(1)

∴ $I_{ABC}$ = 0.13x

In her market account:

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∴ P = y

∵ The rate is 5%

∴ r = 5% = 5 ÷ 100 = 0.05

∵ t = 1

- Substitute all of these values in the formula of interest above

∴ $I_{market}$ = y(0.05)(1)

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account, equate the sum by 1070

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- Substitute value of x in equation (1) to find y

∵ 4000 + y = 15000

- Subtract 4000 from both sides

∴ y = 11000

$4,000 is invested in ABC's stock and $11,000 is invested in her market account

Learn more:

You can learn more about the system of equations in brainly.com/question/2115716

#LearnwithBrainly

7 0

3 years ago

Help me please, its mathwatch

mars1129 [50]

Answer:

Solution,

Let ,

a = 13

b = 13

c= 10

then,

s = a + b + c /2

= 13 + 13 + 10 / 2

= 36/2

= 18

Now,

Area of triangle:

$\sqrt{s(s - a)(s - b)(s - c)}$

$\sqrt{18(18 - 13)(18 - 13)(18 - 10)}$

$\sqrt{18 \times 5 \times 5 \times 8}$

$\sqrt{3600}$

$60 \: {cm}^{2}$

Hope this helps ....

Good luck on your assignment...

6 0

4 years ago