What is the perimeter of the triangle?

Answer:

x =2                x = -4

Step-by-step explanation:

-5|x + 1|+ 3 = -12

Subtract 3 from each side

-5|x + 1|+ 3-3 = -12 -3

-5|x + 1| = -15

Divide each side by -5

-5/-5|x + 1| = -15/-5

|x + 1| = 3

Since this is an absolute value, we have two solutions one positive and one negative

x+1 = 3     x+1 = -3

Subtract 1 from each side

x+1-1 = 3-1     x+1-1 = -3-1

x =2                x = -4

Answer:

the answer is c

Step-by-step explanation:

Answer:

One sister gets 12 and the other gets 16

Step-by-step explanation:

Sister A : sister B: total

3                 4            3+4 =7

Take the total amount and divide by 7

28/7 = 4

Multiply each side by 4

Sister A : sister B: total

3 *4          4*4           7*4

12               16           28

Answer:

16 cm

Bob is correct

Step-by-step explanation:

Perimeter of a square = 4 × side’s length

Then

the side length = 64/4 = 16

Answer:

perimeter of square =4l

64/4cm=l

l=16cm

therefore

bob is correct.

Answer :

is approximately 100 cm ²

Step -by-step explanation

[tex]r \: = 10 \\ l \: = 21.81 \\ T.S.A \: of a \: cone\: = \pi \times r(r + l)[/tex]

[tex] \frac{22}{7} \times 10(10 + 21.81) \\ \frac{22}{7} \times 10(31.81) \\ \frac{22}{7} \times 318.1[/tex]

[tex] \frac{22}{7} \times 318.1 \\ = 999.7 \\ = 100 {cm}^{2} [/tex]

Answer:

Inscribed Angle (A)

Step-by-step explanation:

in geometry, an inscribed angle is the angle formed in the interior of a circle when two secant lines (or, in a degenerate case, when one secant line and one tangent line of that circle) intersect on the circle. It can also be defined as the angle subtended at a point on the circle by two given points on the circle.

Answer: 5

Step-by-step explanation:

Range means the  difference between the largest and smallest values. Which would be 3 and 8.

Answer:

8 problems

Step-by-step explanation:

32 - 32*1/4 - 32*1/2= 32 - 8 - 16= 8 problems

This is pseudo-trig.  It has a trig function but it's irrelevant.

Let y = cos X

y + 1/y = 40

Squaring,

y² + 2(y)(1/y) + 1/y² = 1600

y² + 2 + 1/y² = 1600

y² + 1/y² = 1598

cos² X + 1/cos²X = 1598

Answer: 1598

Answer:

1,1

Step-by-step explanation:

just a guess

The midpoint of the line segment AB is (1, 1).

We have,

To find the midpoint of a line segment with two given endpoints, we can use the midpoint formula.

The midpoint formula states that the coordinates of the midpoint (M) between two points (x₁, y₁) and (x₂, y₂) can be calculated as:

M = ((x₁ + x₂) / 2, (y₁ + y₂) / 2)

Using the given endpoints:

A = (0, 4)

B = (2, -2)

We can substitute these values into the midpoint formula:

M = ((0 + 2) / 2, (4 + (-2)) / 2)

M = (2/2, 2/2)

M = (1, 1)

Therefore,

The midpoint of the line segment AB is (1, 1).

Learn more about midpoints of line segments here:

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Answer:

$1.80

Step-by-step explanation:

(190+120+90+50)/250= a total expected payoff of 1.8 dollars. Hope this helps!

Answer: the correct answer is 3c-5

Step-by-step explanation: I just solved it

Note that the expression "3c - 5" represents Ansley's age, and if Ansley is 31 years old, her cousin's age (c) would be 12.

According to the given information, Ansley's age is 5 years younger than 3 times her cousin's age.

We can represent this mathematically as  -

Ansley's age = 3 * Cousin's age - 5

Using the variable c to represent the cousin's age, the expression representing Ansley's age would be  -

3c - 5

Thus , the expression "3c - 5" represents Ansley's age in terms of her cousin's age (c).

Learn more about expression at:

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Answer:

c

Step-by-step explanation:

no because the adjacent sides are not perpendicular.

Answer:

63 units

Step-by-step explanation:

If the perimeter of 1/3 of the rectangle is 21, multiply 21 by 3 to find the perimeter of the entire rectangle.

21 x 3 = 63

Answer:

The dogs are 21. 8 m from each other in 5 seconds

Step-by-step explanation:

Given;

speed of Edison, v = 10 m/s

speed of Einstein, u = 8 m/s

angle between the two dogs, θ = 25°

let the distance ran by Edison in 5 seconds = x = (10 m/s x 5 s) = 50 m

let the distance ran by Einstein in 5 seconds = y = (8 m/s x 5 s) = 40 m

let the distance between the two dogs after 5 seconds = z

x , y and z forms a triangle with an angle between x and y as θ

The third side, z, can be calculated using cosine rule

z² = x² + y² - 2xyCosθ

z² = 50² + 40² - (2 x 50 x 40)Cos25

z² = 4100 - 4000Cos25

z² = 474.7689

z = √474.7689

z = 21.789 m ≅ 21. 8 m

Therefore, the dogs are 21. 8 m from each other in 5 seconds

Answer:

a = 2

Step-by-step explanation:

We can use cross products to solve

8         a

----- = -------

28        7

8*7 = 28*a

Divide each side by 28

56/28 = 28a/28

2 =a

Answer:

2

Step-by-step explanation:

Given:  

    8         a

 ------- = ------   Find the value of a that makes this equation true.  

   28        7

  Cross multiplying, we get 28a  =  56, and so a works out to 2.

Check:  Does 8/28 = 2/7?  Yes.

the answer is 8=8

Step-by-step explanation:

it just is

Answer:27/28

1/4+5/7

TakingLCM

7+20/28

27/28

Answer: 27/28

Step-by-step explanation:

1/4 + 5/7

= 7/28 + 20/28

= 27/28

Answer:

you didn't do anything wrong who ever said you did is stupid

The answer is attached.

__________________________________

The right answer is Acute.

Explanation

Acute angle triangle are those which is more than 0 degree and less than 90 degree.

Hope it help

Good luck on your assignment

________________________________

Answer:

50 percent

Step-by-step explanation:

Answer: there is a 50% chance

Step-by-step explanation:

there are three numbers less than four on a number cube. 3/6 is equivalent to 1/2

[tex]the \: answer \: is \: 20. \\ please \: see \: the \: attached \: picture \: for \\ full \: solution \\ hope \: it \: helps \\ good \: luck \: on \: your \: assignment[/tex]

Moving to the right and up, the only two points that could be placed in another point would be C or B

The answer would be 6. point C could be the image of E

Answer:

im confident the answer is A C E

Step-by-step explanation:

Answer:

[tex]\frac{1}{5}[/tex]

Step-by-step explanation:

There are 99 - 10 + 1 = 90 numbers between 10 and 99

There are 18 numbers that have at least one two digit.

[tex]\frac{18}{90}=\frac{1}{5}[/tex]

Answer:15m

Step-by-step explanation:

The volume of a cylinder= πr^2h

Radius=9m

Volume=3818

Height=?

3818=22/7 x 9^2 x h

26726=22 x 81 xh

26726=1782h

H = 14.9

Height= 15m

If there is something that is not clear, let me know

Answer:  3/4

Step-by-step explanation:

1. square root the denominator and nominator, 36= 6 and 64= 8

2. put them together (6/8)

3. simplify 6/8

4. 6/8 divided by 2

5. 3/4 is your answer

Answer:

1/2 belongs to the rational family of real numbers because it isn't an integer (..-1, 0, 1..) but it can be written as a fraction.

Answer:

rational numbers and real numbers

Step-by-step explanation:

Rational numbers is part of the real numbers family and so therefore it is also a real number.

Answer:

median

Step-by-step explanation:

The first step is to sort the numbers from largest to smallest (you could go the other way as well).

60 52 48 44 20 16 12

The median is the middle number 44 in this case. The median has 3 numbers on its left and 3 on its right (in this case). 44 has 60 52 48 or its left and 20 16 and 12 on its right.

The mean is the average. We'll call it the new average

The mean is 60 + 52 + 48 + 44 + 20 + 16 + 12 = 252

The new mean is 252 / 7 = 36

=====================

The old median is the average between the middle 2 numbers (before you added 60 you had 6 numbers)

52 + 48 + 44 + 20 + 16 + 12 = the average of 44 + 20 which 64/2 = 32

The old mean was (52 + 48 + 44 + 20 + 16 + 12)/6 = 32.

=======================

The median increased from 44 to 32 = 12

The mean went from 32 to 36 which is 4

Answer: the median increased more  

Answer:

x = 1.32, -5.32

Step-by-step explanation:

x^2 + 4x - 7

Set equal to zero

x^2 + 4x - 7 =0

Add 7 to each side

x^2 + 4x =7

Take the coefficient of x and divide by 2

4/2

Square it

2^2 =4

Add to each side

x^2+4x+4 = 7+4

(x+2)^2 = 11

Take the square root of each side

x+2 = ±sqrt(11)

Subtract 2 from each side

x = -2 ±sqrt(11)

x=1.31662

x=-5.31662

To 2 decimal places

x = 1.32, -5.32

Answer:4log5=4log5

Step-by-step explanation:

Take the log of both sides

log5^4 =log 625

By log log a^b=b loga

4log 5=log5^4

4log5 =4log 5

Expressions and equations can be written in logarithmic forms.

The logarithmic form of [tex]5^4 = 625[/tex] is [tex]\log_5(625) = 4[/tex]

The equation is given as:

[tex]5^4 = 625[/tex]

Take the logarithm of both sides of the equation

[tex]\log(5^4) = \log(625)[/tex]

Apply law of logarithm

[tex]4\log(5) = \log(625)[/tex]

Divide both sides of the equation by log(5)

[tex]4 = \frac{\log(625)}{\log(5)}[/tex]

Apply change of base law of logarithm

[tex]4 = \log_5(625)[/tex]

Rewrite the equation as follows:

[tex]\log_5(625) = 4[/tex]

Hence, the logarithmic form of [tex]5^4 = 625[/tex] is [tex]\log_5(625) = 4[/tex]

Read more about logarithms at:

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Answer:

Yes,  k is lower bound for the real zeros of the function.

Step-by-step explanation:

Lower Bound Theorem:

If you divide a polynomial function f(x) by (x - k), where k < 0, using synthetic division and this yields alternating signs, then k is a lower bound to the real roots of the equation f(x) = 0.

Given;

4x³ - 2x² + 2x + 4

k = -1

synthetic division;

-1 ]    4       -2        2        4

        ↓         -4        6       -8

---------------------------------------------

        4         -6       8          -4  

(the result has alternating signs, hence k is lower bound)

Thus, k is lower bound for the real zeros of the function.