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3 years ago

Write (-5 + 8) + (-5-8) as a complex number in standard form.

Mathematics

2 answers:

Leya [2.2K]3 years ago

6 0

Answer:

Step-by-step explanation:

-10

Harman [31]3 years ago

6 0

Answer:

-1 X 10¹

Step-by-step explanation:

(-5 + 8) + (-5-8)

(3) + (-13)

3-13

-10

In standard form

-1 X 10¹

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Questions 4,5, and six

Setler79 [48]

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6. y=2x^2-x-5. Trial and error.

7 0

4 years ago

Which of the following is a solution to this inequality? y greater than three fifths times x minus 2 (5, 0) (0, −2) (1, 1) (−5,

storchak [24]

Answer:

(1,1)

Step-by-step explanation:

we have

$y > \frac{3}{5}x-2$

we know that

If a ordered pair is a solution of the inequality, then the ordered pair must satisfy the inequality

Verify each ordered pair

case A) we have

(5,0)

Substitute the value of x and y in the inequality

$0 > \frac{3}{5}(5)-2$

$0 > 1$ ----> is not true

therefore

The ordered pair is not solution to the inequality

case B) we have

(0,-2)

Substitute the value of x and y in the inequality

$-2 > \frac{3}{5}(0)-2$

$-2 > -2$ ----> is not true

therefore

The ordered pair is not solution to the inequality

case C) we have

(1,1)

Substitute the value of x and y in the inequality

$1 > \frac{3}{5}(1)-2$

$1 > -\frac{7}{5}$ ----> is true

therefore

The ordered pair is a solution to the inequality

case D) we have

(-5,-6)

Substitute the value of x and y in the inequality

$-6 > \frac{3}{5}(-5)-2$

$-6 > -5$ ----> is not true

therefore

The ordered pair is not solution to the inequality

7 0

4 years ago

Read 2 more answers

What is the value of tanØ

mr_godi [17]

Answer:

tan ∅ = 24 / 7

Step-by-step explanation:

cos ∅ = 7 / 25

sin^2 ∅ + cos^2 ∅ = 1

sin^2 ∅ + (7 / 25)^2 = 1

sin^2 ∅ = 1 - 49 / 625

sin^2 ∅ = 625 - 49 / 625

sin^2 ∅ = 576 / 625

sin ∅ = root 576 / 625

sin ∅ = 24 / 25

tan ∅ = sin ∅ / cos ∅

tan ∅ = 24/25 / 7/25

Therefore, tan ∅ = 24 / 7

OPTION 4. 24 / 7

8 0

3 years ago

a cuboid with a volume of 924 cm3 has dimensions 4cm (x+1)cm and (x+11)cm. show clearly that x^2 +12x-220=0. show the equation b

nikdorinn [45]

Answer:

Part 1)

The equation by factorization is

$x^{2}+12x-230=(x-(-6+\sqrt{266}))(x-(-6-\sqrt{266}))$

Both values of x are

$x1=-6+\sqrt{266}$

$x2=-6-\sqrt{266}$

Part 2) The dimensions of the cuboid are

$4\ cm$ , $(-5+\sqrt{266})\ cm$ and $(5+\sqrt{266})\ cm$

Step-by-step explanation:

step 1

we know that

The volume of the cuboid is equal to

$V=LWH$

substitute the given values

$V=4(x+1)(x+11)$

$V=924\ cm^{3}$

$4(x+1)(x+11)=924\\4(x^{2}+11x+x+11)=924\\ 4(x^{2}+12x+11)=924\\x^{2}+12x+11=231\\x^{2}+12x-230=0$

Complete the square

$x^{2}+12x-230=0$

$x^{2}+12x=230$

$x^{2}+12x+36=230+36$

$(x+6)^{2}=266$

square root both sides

$x+6=(+/-)\sqrt{266}$

$x=-6(+/-)\sqrt{266}$

$x1=-6+\sqrt{266}$

$x2=-6-\sqrt{266}$

therefore

The equation by factorization is

$x^{2}+12x-230=(x-(-6+\sqrt{266}))(x-(-6-\sqrt{266}))$

step 2

Find the dimensions of the cuboid

The dimensions are

$4\ cm$

$(x+1)\ cm -----> (-6+\sqrt{266}+1)=(-5+\sqrt{266})\ cm$

$(x+11)\ cm ----> (-6+\sqrt{266}+11)=(5+\sqrt{266})\ cm$

4 0

3 years ago

Read 2 more answers

F(x) = x2 - 4x – 8, Graph

Tema [17]

Answer:

-2x-8

2x= -8

x = -4

( x - 2 )(x + 2 )

x=2

x= -2

6 0

3 years ago

Write (-5 + 8) + (-5-8) as a complex number in standard form.​

Write (-5 + 8) + (-5-8) as a complex number in standard form.