Find the area of a rectangle whose width is (x + 2) and whose length is (x + 3) .

Answer:A

Step-by-step explanation:

|(1/2 + 7/8i)^n| is grater than 1.

A complex number is a number of the form a + bi, where a and b are real numbers ; This way, a complex number is defined as a polynomial.

Here, given that,

|(1/2 + 7/8i)^n|

where, n>1

then , we get,

|(1/2 + 7/8i)^n| is grater than 1.

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Answer:

y = 70 + 30x

slope 30

y intercept 70

Step-by-step explanation:

Answer:

a b e i think  

Step-by-step explanation:

Answer:

the cat is 27 inches tall

Step-by-step explanation:

the cat is 27 inches tall because when the flower cast is 8 inches but the flower itself is 3 inches you do 8-3=5 take 32-5 and you get 27inches

Answer:

4

Step-by-step explanation:

x1 = 2, y1 = 4

x2 = 3, y2 = 8

from, (y2-y1)/(x2-x1) = m

m = (8-4)/(3-2)

m = 4/1

m = 4

Therefore, the slope of the line is 4

Answer:

1 1/15

Step-by-step explanation:

Answer:

16/15  or  1.06.. or 1 1/15

Step-by-step explanation:

:)

Answer:

I think it's a 72.36% increase

Step-by-step explanation:

I'm not completely sure but that's what the calculator I used said..

Answer:

3

Step-by-step explanation:

Find the amount of change.

Amount of change = Greater Value − Lesser Value

= 131 − 127 Substitute values.

= 4 Subtract.

Find the percent increase. Round to the nearest percent.

Percent Change =  

Amount of Change

Original Amount

=  

4

131

 Substitute values.

≈ 0.03 Divide and round to the nearest hundredth.

= 3% Write as a percent.

The percent decrease is 3%.

pls press the heart if this was helpful

Answer:

A triangle has three congruent sides

Step-by-step explanation:

100% .

Given:

[tex]\sin (x)=-\dfrac{1}{2}[/tex]

[tex]\cos (y)=-\dfrac{1}{3}[/tex]

x is an angle in quadrant III, and y is an angle in quadrant II.

To find:

The value of sin(x+y).

Solution:

We know that, only sin and cosec are positive in II quadrant. Only tan and cot are positive in III quadrant.

x is an angle in quadrant III,

[tex]\cos x=-\sqrt{1-\sin^2 x}[/tex]

[tex]\cos x=-\sqrt{1-(-\dfrac{1}{2})^2}[/tex]

[tex]\cos x=-\sqrt{1-\dfrac{1}{4}}[/tex]

[tex]\cos x=-\sqrt{\dfrac{4-1}{4}}[/tex]

[tex]\cos x=-\dfrac{\sqrt{3}}{2}[/tex]

y is an angle in quadrant II.

[tex]\sin y=\sqrt{1-\cos^2x}[/tex]

[tex]\sin y=\sqrt{1-(-\dfrac{1}{3})^2}[/tex]

[tex]\sin y=\sqrt{1-\dfrac{1}{9}}[/tex]

[tex]\sin y=\sqrt{\dfrac{9-1}{9}}[/tex]

[tex]\sin y=\sqrt{\dfrac{8}{9}}[/tex]

[tex]\sin y=\dfrac{2\sqrt{2}}{3}[/tex]

Now,

[tex]\sin(x+y)=\sin x\cos y+\cos x\sin y[/tex]

[tex]\sin(x+y)=(-\dfrac{1}{2})\times (-\dfrac{1}{3})+(-\dfrac{\sqrt{3}}{2})\times (\dfrac{2\sqrt{2}}{3})[/tex]

[tex]\sin(x+y)=\dfrac{1}{6}-\dfrac{2\sqrt{6}}{6}[/tex]

[tex]\sin(x+y)=\dfrac{1-2\sqrt{6}}{6}[/tex]

Therefore, the correct option is B.

Answer:

Choice B

Step-by-step explanation:

Answer:

B. 1/6

Step-by-step explanation:

Answer:5

Step-by-step explanation:When we divide two fractions, such as 5/7 ÷ 1/7, we flip the second fraction and then we simply multiply the numerators with each other and the denominator with each other.

Answer: X= 3^-1

X= -0.75

Step-by-step explanation:

Answer:

C) 180

Step-by-step explanation:

I hope this helps

Good luck ;)

The difference between the intercepted arc is 180°

An angle is formed from the intersection of two or more lines. Angles less than 90 degrees are called acute angles, angles greater than 90° are called obtuse angles while angles with a measure of 90° are called right angles.

Circle theorem states that if a tangent and a sectant, two tangent or two sectant meets outside a circle, the measure of the angle formed is half the difference between the intercepted arcs.

A secant and a tangent meet at a 90° angle outside the circle. Hence:

90° = (1/2) * difference between the intercepted arc

Difference between the intercepted arc = 180°

The difference between the intercepted arc is 180°

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Answer:

Step-by-step explanation:

We can split this up into 3 shapes.

Using the attached image:

[tex]A = (5-2)*(3)\\A = 3*3 = 9\\\\B = \frac{1}{2}(7-3)(5-2)\\B = \frac{1}{2}(4)(3)\\B = 2*3 = 6\\\\C = 7 * 2 = 14\\\\A + B + C = 14 + 6 + 9 = 29[/tex]

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[tex] \frac{3x}{x - 2} = 7 \\ [/tex]

Multiply sides by ( x - 2 )

[tex](x - 2) \times \frac{3x}{x - 2} = (x - 2) \times 7 \\ [/tex]

Simplification

[tex]3x = 7x - 14[/tex]

Subtract sides 7x

[tex] - 7x + 3x = - 7x + 7x - 14[/tex]

Simplification

[tex] - 4x = - 14[/tex]

Negatives simpliflies

[tex]4x = 14[/tex]

Divide sides by 4

[tex] \frac{4x}{4} = \frac{14}{4} \\ [/tex]

[tex]x = \frac{7}{2} \\ [/tex]

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Answer:

x = [tex]\frac{7}{2}[/tex]

Step-by-step explanation:

Given

[tex]\frac{3x}{x-2}[/tex] = 7 ( multiply both sides by x - 2 )

3x = 7(x - 2) ← distribute

3x = 7x - 14 ( subtract 3x from both sides )

0 = 4x - 14 ( add 14 to both sides )

14 = 4x ( divide both sides by 4 )

[tex]\frac{14}{4}[/tex] = x , that is

x = [tex]\frac{7}{2}[/tex]

Answer:

The distance from point A to given line is: 2√5 or 4.472 units

Step-by-step explanation:

Given equation of line is:

[tex]-x+2y= 14[/tex]

And the point is:

[tex]A = (x_1,y_1) = (-14,5)[/tex]

The standard form of equation of line is:

[tex]Ax+By+C = 0[/tex]

Converting the given equation into standard form

[tex]-x+2y-14=0[/tex]

The distance of a point (x1,y1) from a line is given by the formula:

[tex]d = \frac{|Ax_1+By_1+C}{\sqrt{A^2+B^2}}[/tex]

In the given details,

A = -1, B = 2, C = -14

x1 = -14, y1 = 5

Putting the values in the formula

[tex]d = \frac{|(-1)(-14)+(2)(5)-14|}{\sqrt{(-1)^2+(2)^2}}\\d = \frac{14+10-14}{\sqrt{1+4}}\\d = \frac{10}{\sqrt{5}}\\d = \frac{5*2}{\sqrt{5}}\\d = \frac{\sqrt{5}*\sqrt{5}*2}{\sqrt{5}}\\d = 2\sqrt{5}\\d = 4.472\ units[/tex]

Hence,

The distance from point A to given line is: 2√5 or 4.472 units

Answer: Yes, there are congruent.

Step-by-step explanation: A triangle is congruent if the same shape and size. In this figure, they're congruent.

Answer:

A (77)

Step-by-step explanation:

Answer:

1 cm: 200 cm (if they don't give units) (most likely this answer) (1:200)

if the units are centimeter and meter though, then it's

1:2

Step-by-step explanation:

there are 100 cm in 1 meter, so 1cm:2m

is actually 1cm : 200cm

Answer:

30 X .8=24 30-24=6 bill got 6 questions wrong

Answer:

Neither

Step-by-step explanation:

function A is  non linear

Answer:

78 i think

Step-by-step explanation:

Answer:

Keiko 12 +  Juan 51 + Tony 17 = $80

Step-by-step explanation:

K + J + T = 80

K=T-5

J=3T

T=T

T-5 + 3T + T = 80

5T -5 = 80  -->  5T = 85 --> T = 17

now that u know T=17, substitute the value of T to find K and J

K=(17)-5 = $12

J=3(17) = $51

T= $17

Answer:

Exact form: x = 27/5

Decimal form: x = 5.4

Mixed-number form: x = 5 2/5

Step-by-step explanation:

hope this helps :)

Answer:

[tex]m=\frac{-1}{3}[/tex]

General Formulas and Concepts:

Pre-Algebra

Algebra I

Step-by-step explanation:

Step 1: Define

Find points from the graph.

Point (2, 0)

Point (5, -1)

Step 2: Find slope m

And we have our answer!

Answer:

slope is 2

Step-by-step explanation:

Answer:

27

Step-by-step explanation:

27÷3 = 9

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Answer:

the answer is 27 i told u this but need points

Step-by-step explanation:

1 Pound is equal to 1.81 Australian Dollars

1 Pound sterling equals  1.81 Australian Dollar