evaluate the following using identity ( part 2 )
4. (0.4a + 1/4 b) (0.4a - 1/4b)
5. (x + 1/y) ( x-1/y)
6. (2/3x + 3/11y) (2/3x - 3/11y)​

Answer:

Cleo is: 25 years old

Range of their ages: 7 years

Step-by-step explanation:

Supposing that they are all around roughly the same age, say, Ahmed was 18 and Beth was 20. The mean/average, is taking both ages, and dividing it by how many people there were. Which was just two. So, 18+20=38. 38/2 gets you 19. To get Cleo's age, we would do,

18+20+ Cleo's age. to get a number, divide it by 3, and get 21. Saying that the mean/average is 21, he would definetly be older. So plug in ages. 24+20+18=62. 62/3 gets you 20.67. 25+20+18=63. 63/3 gets you 21. Therefore, he must be 25.

The range is calculated by subtracting the largest number, by the smallest number. And, given that the median, or, middle is 20, we can know that the previous answer is correct. 25-18 to get 7 as the range.

Answer:

sin 2θ = -24/25

Step-by-step explanation:

see the below formula of sin x  in terms of tan x

by substituting => -4/3   /  ± √(16/9 + 1)

=> -4/3   /  ± √(25/9)

=> -4/3   / ±  5/3

=> ± -4/5

=> ± 4/5

as theta is in second quadrant is in 2nd quadrant sin value is positive

so sin θ = 4/5 and cos θ = -3/5

now sin 2θ = 2 sinθcosθ

= 2 * 4/5 * -3/5

= -24/25

Answer:

A

Step-by-step explanation:

We can calculate the equation of the lines based on two points. First line m:

y = ax +b

where a is the slope and b is the y-intercept. To find the slope we use the x and y of the points as:

a = [tex]a = \frac{y_1-y_2}{x_1-x_2} = \frac{4- -32}{2- -4} = \frac{36}{6} = 6.[/tex]

So:

y = 6x + b

we can find the y intercept by substituting the x and y for one of the points:

solving for b:

b=-32-(6)(-4)= -8.

So the equation is:

y = 6x - 8.

We can change it to:

y + 8 = 6x

8 = 6x - y.

So it’s (A).

Hope that helps!

Answer:

B I think

Step-by-step explanation:

Answer:

Make me as brain liest plz

The perimeter of triangle DEF is; 30 cm

We are given dimensions of Triangle ABC as;

Thus;

Perimeter of Triangle ABC = 9 + 6 + 7.5 = 22.5 cm

We are told that Triangle DEF is similar to Triangle ABC.

This means that the ratio of corresponding sides must be equal to the ratio of their perimeter.

Side EF corresponds to side BC. Thus;

Perimeter of Triangle DEF/22.5 = 8/6

Cross multiply to get;

Perimeter of Triangle DEF = (22.5 × 8)/6

Perimeter of Triangle DEF = 30 cm

Read more on similar triangles at; https://brainly.com/question/14285697

Answer:

The one guy is right k equals 43.6

Hope This Helps!!!

The value of k using Vertical angles is 43.6 degree.

Vertical angles are a pair of non-adjacent angles that are formed by the intersection of two lines. When two lines intersect, they create four angles at the intersection point.

Vertical angles are the angles that are opposite to each other and share the same vertex but are not adjacent. They are Congruent.

As, k and 43.6 are Vertical angles.

So, k = 43.6

Learn more about Vertical Angles here:

https://brainly.com/question/24566704

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Answer:

Step-by-step explanation:

four times the sum of a number and 9 is 16

4 *(x + 9) = 16

4x + 36 = 16

4x = 16 - 36

4x = -20

x = -5

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

4 * (-5 + 9) = 16

16 = 16

true

Answer:

103

Step-by-step explanation:

I think

Answer:

l = 720ft w = 450ft

Step-by-step explanation:

[tex]2340 = 2l + 2w \\ l = w + 270 \\ 2340 = 2(w + 270) + 2w \\ 2340 = 2w + 540 + 2w \\ 1800 = 4w \\ w = 450 \\ \\ l = 450 + 270 \\ l = 720[/tex]

Answer: hope this

Step-by-step explanation:

Answer:

$4,800.00 might be the answer if I did it right.

Answer:

The tax is 7% ^^

Step-by-step explanation:

Answer:

Sale tax is 7% or $8.82

Step-by-step explanation:

126 + 8.82 = 134.82 sales tax 7%

Answer:

The first blue option or 8x - 17 = 5x + 19

Step-by-step explanation:

    They are vertical angles, so they will be set equal to each other.

Have a nice day!

    I hope this is what you are looking for, but if not - comment! I will edit and update my answer accordingly. (ノ^∇^)

- Heather

Answer:

y=[tex]\frac{3}{4}[/tex]x-2

Step-by-step explanation:

Since it will be parallel that means m=[tex]\frac{3}{4}[/tex]

then you can use point slope form (y-y1)=m(x-x1): y+5=[tex]\frac{3}{4}[/tex](x+4)

then you can distribute the [tex]\frac{3}{4}[/tex]: y+5=[tex]\frac{3}{4}[/tex]x+3

then subtract 5: y=[tex]\frac{3}{4}[/tex]x-2

Answer:

hbgvfcdexsedfcgvgv b

Step-by-step explanation:

hgvfctdrxseazwsxrdctfvghbtfrdes

Answer:

it's the middle one

Step-by-step explanation:

Answer: 50

Step-by-step explanation:

exterior angles are supplement of interior angle therefore the 110 thing must be 70, also youre given 60 so 70+60=130

50 is missing from 180

Answer:

a= 90

2a= 135

b=45

c= 45

I think x

Step-by-step explanation:

Answer:

red line

the red line has a slope of -1 by looking at the coordinates,

it also intersects the given point (1,-1)

Answer:

last year = 530570

this year = 424456

decreased plants = 530570-424456 = 106114

decreased percent = 106114÷530570×100%

= 20%

therefore 20% is the decrease precent in the number of potted plants ordered anually

Answer:

Yes

Step-by-step explanation:

95 multiplied by 2 is 190

130 multiplied by 2 is 260

190+260 is 450

Answer:

95 x 2=190

130 x 2= 260

260+190= 450

he can and will still have some change

800-450=350

Step-by-step explanation:

hope this helps if not then sorry good luck and bye

Answer: 1 hour and 50 min

Step-by-step explanation:

Answer:

Step-by-step explanation:

Can someone tell me what happens in 2 hours

Answer:

1)  -2x-11

2) 1.3x-3

3) 5k-20

4) 21.84

Step-by-step explanation:

-2x-7+(-4)          -2x-7-4           -2x-11

5.2x+9-12-3.9x          1.3x+9-12      1.3x-3

5(k-4)    distribute        5k-20

5.46÷0.25=21.84

Answer:

8

Step-by-step explanation:

280/35=8

Answer:

8 hours.

Step-by-step explanation:

280/35 = 8

Answer = 1.8

Step 1) 3 ÷ 2.7 = 0.900

Step 2) 0.900 x 2 = 1.8

Time taken by the person to walk the boardwalk to the end and back is 0.9 hours.

Given that, The Coney Island Boardwalk is 2.7 miles long.

The speed formula can be defined as the rate at which an object covers some distance. Speed can be measured as the distance travelled by a body in a given period of time. The SI unit of speed is m/s.

A person walks at the average speed of 3 mph.

We know that, speed = Distance/Time

= 2.7/3

= 0.9 hours

Hence, time taken by the person to walk the boardwalk to the end and back is 0.9 hours.

To learn more about the speed, distance, and time visit:

brainly.com/question/4978052.

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Answer:

B) Graph B

Step-by-step explanation:

The quadratic equation in vertex form is represented by: y = a(x - h)² + k, where:

(h, k) = vertex

x = h : axis of symmetry

a = indicates a reflection in the x-axis; it also determines the graph's vertical stretch or shrink.

h =  indicates a horizontal translation.

k =  indicates a vertical translation.

Given the given quadratic equation, y = (x - 2)² - 16:

The vertex occurs at point, (2, -16), and a = 1. Since the value of a is positive, then it implies that the graph opens upward, and the vertex is its minimum point.  The axis of symmetry occurs at h = 2.

To determine another point to use as a reference (and also for graphing) is solving for the equation's y-intercept, which is the point where it crosses the y-axis (where x = 0).

Y-intercept: set x = 0:

y = (x - 2)² - 16

y = (0 - 2)² - 16

y = (-2)² - 16

y = 4 - 16

y = -12

Therefore, the y-intercept is (0, -12).

Therefore, the graph that matches these given descriptions is Graph B.    

Attached is the graphed quadratic equation where it shows the vertex, y-intercept, and the axis of symmetry.

Answer:

10 days

Step-by-step explanation:

15 men -----  12 days

18 men -----    x ?

They are inversely proportional

more men less days

15 / 18  * 12 = 10 days

Answer:

which one is 29???

Step-by-step explanation:

60+55=y

y=115

now x=180-Y( as being liner pair)

therefore=x=180-115=65

Step-by-step explanation:

two interior angles are equal to exterior angle

so 60+55=y

y=115

now x=180-Y( as being liner pair)

therefore=x=180-115=65