Find the length of AB

Answer:

10 ft

Step-by-step explanation:

The length of the slide can be determined using Pythagoras theorem

The Pythagoras theorem : a² + b² = c²

where a = length

b = base

c =  hypotenuse

6² + 8² =

36 + 64 = 100

c = √100

c = 10

Step-by-step explanation:

a) Let y = f(x) = 3x - 2x^2

f(-2) = 3(-2) - 2(-2)^2 = p

= -6 - 8

= -14

= p

f(2.5) = 3(2.5) - 2(2.5)^2 = q

= 7.5 - 12.5

= -5

= q

b) graphing

c) From the graph, you should be able to verify the following:

i) f(0.5) = 3(0.5) - 2(0.5)^2 = 1

ii) 0.5 = 3x - 2x^2 or x = 1.3, 0.2

iii) the maximum occurs at

f(0.75) = 1.125

d) the equation for the line of symmetry is x = 0.75

Answer:

y = 2/3x + 3 2/3

Step-by-step explanation:

slope intercept form: y = mx + b

isolate the y => y = 2/3(x - 2) + 5 => y = 2/3x - 4/3 + 5 => y = 2/3x + 3 2/3

Answer:

4x+2

Step-by-step explanation:

All you have to do is simplify 12/6

And that equals 2.

Answer:123

Step-by-step explanation:

Answer:

The answer is C.

Step-by-step explanation:

Had this on a quiz.

Answer:

y=4x/3+17

Step-by-step explanation:

4/3=y-5/x+9

y=4x/3+17

The equation in point-slope form for this line is -

(y - 5) = (4/3)(x + 9)

The general equation of a straight line is -

y = mx + c

where -

[m] → is slope of line which tells the unit rate of change of [y] with respect to [x].

[c] → is the y - intercept i.e. the point where the graph cuts the [y] axis.

Other possible equations of lines are -

We have a line that passes through the point (-9,5) and has a slope of

4/3.

The point slope form is given by -

(y - y₁) = m(x - x₁)    

Now, we can write the equation as -

(y - 5) = (4/3)(x + 9)

Therefore, the equation in point-slope form for this line is -

(y - 5) = (4/3)(x + 9)

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Using the order of the letters in the triangles find the corresponding sides:

BL is similar to JF

LT is similar to KF

BT is similar to JK

Find the scale between LT and KF

9/12 = 3/4

The smaller triangle is 3/4 the size of the lager one.

This means BT = 3/4(JK) = 3/4(4) = 3

So x = 3, so side BL = 2x = 2(3) = 6

Now to solve for y:

BL is 3/4(JF)

6 = 3/4(y)

Solve for y by dividing both sides by 3/4

Y = 6/(3/4)

Y = 8

X = 3, y = 8

Answer:

31 words

Step-by-step explanation:

because the set up fee is 4:50$, minus this from the price Rebecca payed

16.90-4.50=$12.40

now divide this amount by $0.40 in order to get her word count

12.40÷0.40=31

Answer:

The highest common factor is (a + b)

Step-by-step explanation:

We start by making a factorization of the first expression

By using the difference of two squares, we can have it as;

a^2 - b^2 = (a + b)(a-b)

For the second expression, we already have;

(a + b)^2 = (a + b)(a + b)

What this mean is that (a + b) is common to both expressions and we have it as the highest common factor

Answer:

12 π sq. in.  

Step-by-step explanation:

Circumference c = 2πr

Arc Length s = [tex](\frac{0^0}{360^0})[/tex] (2πr)

s = [tex](\frac{120}{360})[/tex] * 2π * 6 = 4π = 12

Mark me as brainliest!!

Answer:

Hello! answer: 45 and 45 is a complementary angle and 60 and 30 is a complementary angle

Step-by-step explanation:

Complementary angles are just angles that add up to 90 degrees so... 45 + 45 = 90 60 + 30 = 90 so that is how those are complementary angles.

Hope that helps!

Answer:

angle QRT/angle VRT  and angle SRW/angle WRV

Step-by-step explanation:

QRT and VRT: Both angles are 45 degrees, adding those degrees together gets you 90 degree angles meaning that they are complementary.

SRW and WRV: 60 plus 30 is equal to 90 making them complementary angles as right angles are 90 degrees

Answer:

8.58cm

Step-by-step explanation:

Since tanθ = opp/adj,

tan43 = 8/x

x = 8/tan43

= 8/0.93251508

= 8.57894973666

≈ 8.58

Answer:

15 units

Step-by-step explanation:

The terms of an odd integer are given by 2n - 1. Since the sides of the triangle are three consecutive odd integers, let them be 2n - 1, 2(n + 1) - 1 and 2(n + 2) - 1 respectively, where 2n - 1 is the shortest side

Let P = perimeter of triangle = 2n - 1 + 2(n + 1) - 1 + 2(n + 2) - 1

= 2n - 1 + 2n + 2 - 1 + 2n + 4 - 1

= 2n - 1 + 2n + 1 + 2n + 3

= 2n + 2n + 2n - 1 + 1 + 3

= 6n + 3

Since the shortest side is 20% of the perimeter of the triangle, we have that

2n - 1 = 20%(6n + 3)

2n - 1 = 0.2(6n + 3)

expanding the bracket, we have

2n - 1 = 1.2n + 0.6

subtracting -1.2n and adding +1 to both sides, we have

2n - 1.2n = 1 + 0.6

0.8n = 1.6

dividing both sides by 0.8, we have

n = 1.6/0.8

n = 2

Since P = 6n + 3, substituting n = 2, we have

P = 6(2) + 3 = 12 + 3 = 15 units

Answer:

yes

Step-by-step explanation:

Answer:

yes

Step-by-step explanation:

yes

Answer:

36

Step-by-step explanation:

4 x (2 + 7) = 36

Answer:

$0.42

Step-by-step explanation:

Given data

Dimension

Length=4m

Width=2m

Cost=  $1.75

Area= 4*2= 8m^2

Cost per area=1.75/8

Cost per area=$0.21 per m^2

The new poster's dimension

Lenght =2m

Width= 1m

Area= 2*1= 2m^2

Hence if a square meter cost $0.21

Then 2 square meter  will cost x

cross multiply

2*0.21=x

x=$0.42

Hence the new poster will cost $0.42

Answer:

24

Step-by-step explanation:

Answer:You can do this two ways:  Either use the slope intercept form

y = mx + b   with slope m=-2 so y = -2x +b

From that use x=5, y = -3 to solve for b

-3 = -2(5) + b

-3 = -10 + b

10-3 = b

7 = b

Your equation is:  y = -2x + 7

OR

Use the point slope formula:  y - y1 = m(x-x1)

with m = -2,  (x1, y1) = (5,-3)

y-(-3) = -2(x-5)

y + 3 = -2x + 10

y = -2x + 10 - 3

y = -2x + 7

Step-by-step explanation:

Answer:

20%

Step-by-step explanation:

21/ 105

= 0.2 x 100

20%

Answer:

we will write 972 in standard form

Step-by-step explanation:

Standard form of a given number 972 is equals to 9.72 × 10².

" Standard form is defined as the mathematical expression, number, any equation , quantity with certain rules defined for it."

According to the question,

Given number = 972

Standard form of writing a number is

Given number should be express as a decimal number between 1.0 to 10.0

multiply by power of 10.

Standard form of 972 =  9.72 × 10²

Hence , standard form of a given number 972 is equals to 9.72 × 10².

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Answer:

[tex]\checkmark[/tex] [tex]\sin\theta=-\frac{\sqrt{2}}{2}[/tex]

[tex]\checkmark[/tex] [tex]\tan \theta = -1[/tex]

[tex]\checkmark[/tex] The measure of the reference angle is [tex]45^{\circ}[/tex]

Step-by-step explanation:

The reference angle of an angle is the magnitude of the smallest angle it makes with the x-axis. In this case, we have [tex]360-315=\boxed{45^{\circ}}[/tex] (*Note: [tex]\frac{7\pi}{4}=315^{\circ}[/tex], use [tex]\pi=180^{\circ}[/tex] to convert to degrees)

Step-by-step explanation:

Convert 7π/4 to degrees

You'll have 315°

Reference angle is the angle that a given angle makes with the abscissa or x-axis.

360-315 = 45°

THE MEASURE OF THE REFERENCE ANGLE IS 45°

C and D are correct also

Answer: 17

Step-by-step explanation:

Answer:

B) 17

Step-by-step explanation:

Prime numbers are numbers that are not products of two smaller natural numbers. Everything except 17 is not prime cuz they can be derived from multiplying other numbers but 17 cannot be.

Answer:

2

Step-by-step explanation:

.....................

Answer:

If you need the temperature at 11:00 am it is 78 degrees.

Step-by-step explanation:

84-6=78 degrees

The mathematical sentence that expresses the information is t + 8 > 82

A relationship between two expressions or values that are not equal to each other is called 'inequality.

The current temperature is represented by t.

If the temperature rises by 8  degrees, then the new temperature would be t + 8.

The record-high temperature for that date is 82 degrees.

If t + 8 is greater than 82, then the temperature would break the record-high temperature for that date.

Therefore, the mathematical sentence that expresses the information above is t + 8 > 82

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Susanne checks the temperature at 11:00 a.m. She notices if the temperature

rises by 8 more degrees, it will break the record-high temperature for that

date, which is 82 degrees.

If t= the temperature in degrees at 11:00 a.m., which mathematical sentence

expresses the information above?

A. t - 8<82

B. t + 8 < 82

O C. 1-8 > 82

D. † + 8 > 82​