Geometry - Isosceles & Equilateral Tirangles

Solve for x *

Answer:

-8 or 8

Step-by-step explanation:

We are given the absolute equation:

[tex]\displaystyle \large{4|x|=32}[/tex]

First, divide both sides by 4 which leaves [tex]\displaystyle \large{|x|=8}[/tex]

Absolute Value Definition

[tex]\displaystyle \large{|x|=\begin{cases} x \ \ \ (x\geq 0)\\ -x \ \ \ (x<0) \end{cases}}[/tex]

So from |x| = 8, break into two intervals/conditions.

(1) when x ≥ 0

x = 8

(2) when x < 0

-x = 8

x = -8

From (1) and (2), the solution to 4|x| = 32 is 8 or -8

Answer:

780ft²

Step-by-step explanation:

I'd cut that lower part off into a separate section, and then its width would be the difference of 40 and 30, and its height the difference of 24 and 18. Then, with just 2 rectangles, you can easily calculate the area of each and add them up.

[tex]40-30=10\\24-18=6[/tex]

The lower rectangle is 10' × 6'.

Upper rectangle:

[tex]40\times18=720[/tex]

Lower rectangle

[tex]10\times6=60[/tex]

Add them up:

[tex]720+60=780[/tex]

780ft²

Hey there!

f(x) = -3|2x - 9| + 4

y = -3|2x - 9| + 4

y = -3|2(-5) - 9| + 4

y = -3|-10 - 9| + 4

y = -3|19| + 4

y = -57 + 4

y = -53

Therefore, your answer should be: f(x) = -53

Good luck on your assignment and enjoy your day!

~Amphitrite1040:)

Answer:

6 and -4

Step-by-step explanation:

a + b = 2

a - b = 10

Solve:

from the first eq.

a = 2 - b

replacing this value in the second eq.

(2-b) - b = 10

2 - 2b = 10

-2b = 10 - 2

-2b = 8

b = 8/-2

b = -4

from the second eq.

a - b = 10

a - (-4) = 10

a  + 4 = 10

a = 10 - 4

a = 6

Check:

from the first eq.

6 + (-4) = 2

6 - 4 = 2

Answer: The Y intercept is 128 as well, which is the original velocity. Technically it should be v - intercept but whatever. The y  / v intercept is the original velocity. The X intercept should be the t intercept but again whatever. The x/t intercept is 4, meaning that the velocity is zero when t is 4

Step-by-step explanation: y/v intercept is when t = 0. v = 128 - 32(0) = 128

It is the initial velocity at t = 0. The X/t intercept is when v = 0. 0 = 128 - 32t, so 32t = 128, so t = 4. The x intercept means when the velocity is zero, which means that the ball is at its highest/farthest point.

Answer:

6x

Step-by-step explanation:

8x-2x

Answer:

17/12= 1 5/12

Step-by-step explanation:

make the denominator the same as 12

_______  -9/12 =8/12

so add 8+9 to get 17.then keep the denominator as 12. last simpfie it to 1 5/12

Answer:

7

Step-by-step explanation:

(x - 5)(x + 2) = 0

x = 5 & -2

Now,

given

r > s

r = 5, s = -2

Now,

=> r - s

=> 5 - (-2)

=> 5 + 2

=> 7

Answer:

The domain of a function f(x) is the set of all values for which the function is defined, and the range of the function is the set of all values that f takes.

Step-by-step explanation:

Answer:

Answer:

safe speed for the larger radius track u= √2 v

Explanation:

The sum of the forces on either side is the same, the only difference is the radius of curvature and speed.

Also given that r_1= smaller radius

r_2= larger radius curve

r_2= 2r_1..............i

let u be the speed of larger radius curve

now, \sum F = \frac{mv^2}{r_1} =\frac{mu^2}{r_2}∑F=

r

1

mv

2

=

r

2

mu

2

................ii

form i and ii we can write

v^2= \frac{1}{2} u^2v

2

=

2

1

u

2

⇒u= √2 v

therefore, safe speed for the larger radius track u= √2 v

Answer:

42:54,54:42

Step-by-step explanation:

Answer:

a) false b) false c) false d) true

Step-by-step explanation:

Answer:

a) false b) false c) false d) true

Step-by-step explanation:

Answer: 400 meters per minute.

Formula to find average speed: total time / total distance

Total time taken is 2+4+1+3 which is 10 minutes.

Total distance traveled is 4 kilometers.

(Unitary method)

In 10 minutes Marco runs 4 kilometers.

In 1 minute Marco will run 4/10 (0.4)kilometers.

Now to convert 0.4 kilometers to meters,multiply it by 1000.

0.4 * 1000 is 400 meters

so the final answer is he will run 400 meters in 1 minute.

Answer:

7/12

Step-by-step explanation:

3/4 - 1/6

18/24 - 4/24 = 14/24

14/24 = 7/12

Answer:

[tex]\frac{7}{12}[/tex]

Step-by-step explanation:

[tex]\frac{3}{4}- \frac{1}{6}[/tex] ⇒ [tex]\frac{9}{12}- \frac{2}{12}[/tex]

[tex]=\frac{7}{12}[/tex]

Hope this helped! :)

Answer:  50.686664

Step-by-step explanation: hope this helps :)

Answer:

The walkway is 14ft and 3in

Step-by-step explanation:

Step-by-step explanation:

(3⁵×2^-5×5^-5×2×3²)/(5⁵×3^-2×2^-2)

[3^(5+2+2)][2^(-5+1+2)][5^(-5-5)]

3⁹×2^-2×5^-10.

hope this helps you.

Answer:

40% of ___ is 16

So then 10% of ___ is 4

Then do 4 x 10 = 40

So 40% of 40 is 16.

Answer: Down there there is the correct answer step by step

I hope it helps you!

Answer:

A. 5x² - 7 - 72 = 0

5x² - 79 = 0

x = ± √-4ac / 2a

x = ± √- 4 (5) (-79) / 2 (5)

x = ± √ 1580 / 10

x = ± 39.749/10

x = + 39.749/10 x = -39.749/10

= 3.9749 = - 3.9749

B. x² + 2x - 5 = 0

x = - b ± √b² - 4ac / 2a

= - 2 ± √2² - 4 (1) (-5) / 2 (1)

= - 2 ± √4 + 20 / 2

= - 2 ± √ 24 / 2

x = - 2 + 4.898 /2 x = - 2 - 4.898 / 2

= 2.898/2 = -6.898/2

= 1.449 = - 3.449

C. 3x² + 2x - 4 = 0

x = - b ± √b² - 4ac / 2a

= - 2 ± √2² - 4 (3) (-4) / 2 (3)

= - 2 ± √4 + 48 / 6

= - 2 ± √ 52 / 6

x = - 2 + 7.211 /6 x = - 2 - 7.211 / 6

= 5.211/6 = - 9.211 /6

= 0.869 = - 1.535

Hope that helps

Please to re-check answers

Answer:

2.8 pounds

Step-by-step explanation: For this one, I rounded the answer, but what you need to do is divide 20 by 7.

20/7 = 2.85714285714

2.85714285714 ≈ 2.8 pounds

Answer:

sine

Step-by-step explanation:

The solutions are x = (5 + √19)/3 and x = (5 - √19)/3. These match options E and F in your question.

The solution of an equation refers usually to the values of the variables involved in that equation which if substituted in place of those variable would give a true mathematical statement.

We are given that;

The function (3x - 5)2 = 19

Now,

To find the solutions to the equation (3x - 5)^2 = 19, we need to use the following steps:

Take the square root of both sides to get 3x - 5 = ±√19

Add 5 to both sides to get 3x = 5 ±√19

Divide both sides by 3 to get x = (5 ±√19)/3

Therefore, the solutions of the equations will be x = (5 + √19)/3 and x = (5 - √19)/3.

Learn more about solving equations here:

https://brainly.com/question/13072448

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sin θ = 3 / 7 = .429

sin^2 θ + cos^2 θ = 1      trig identity

9/49 + cos^2 θ = 1

cos^2 θ = 40 / 49 = .816       cos θ = .903

Check .429^2 + .903^2 = 1

cos .903 = 25.4 deg

In the second quadrant sin = +, cos = -, tan = -

So 25.4 deg in the second quadrant = 180 - 25.4 = 154.6 deg

Check:

sin 154.6 = .428

cos 154.6 = -.903

tan 154.6 = -.475

Answer:

65%

Step-by-step explanation:

13/20 is equivalent to 65% because half of it will be half of the percentage so that's why it is 65%

Answer:

f(x) = x^2 is a classic example

f( 3 ) = 9 and

f( -3 ) = 9, but

f^(-1)[9] is undefined because the result can be 3 and -3

Based on the information given, from the fraction, it can be noted that the number of left-handed people will be 45.

From the information given, it was stated that in the survey, 3 out of 20 students were left-handed.

Therefore, in a population of 300 people, the number of left handed people will be:

= 3/20 × 300.

= 3 × 15

= 45

There are 45 left handed people.

Learn more about fractions on:

https://brainly.com/question/13763238