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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:

The answer is C.

Step-by-step explanation:

Had this on a quiz.

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:

Step-by-step explanation:

2 root ( 5,0)

y intercept (0,5)

Answer:

20%

Step-by-step explanation:

21/ 105

= 0.2 x 100

20%

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: 39.3 inches

Step-by-step explanation:

Let x represent the length of base of ramp.

We have been given that a skateboarding ramp is 12 in high and rises at an angle of 17 degrees. We are asked to find the base of the skateboard.

The height of ramp, the base of ramp and angle of elevation make a right triangle with ground, where, 12 inch is opposite side and base of ramp is adjacent side of angle of elevation.

Therefore, the base of ramp is 39.3 inches long.

Answer:

ummmmmm....post the pic at least

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:

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:

yes

Step-by-step explanation:

Answer:

yes

Step-by-step explanation:

yes

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)

To solve more questions on straight lines, visit the link below-

brainly.com/question/20400984

#SPJ2

Answer:123

Step-by-step explanation:

Answer:

90 + 29 + x = 180

119 + x = 180

-119        -119

X = 61  degrees

A triangle will always equal 180 degrees.

Given that there is a right triangle it is 90 degrees, also given that 29 degrees is there we add those and add x (the unknown degree) to equal 180 degrees.

Answer:

y=2x+1

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

Rearrange 2x+3y=15 by subtracting 2x by both sides. Dividing 3y by both sides.

1⇒[tex]2x-2x+3y=15-2x[/tex]

2⇒[tex]\frac{3y=15-2x}{3y}[/tex]

[tex]y=5-\frac{2}{3} x[/tex]

We know this slope is negative. Meaning for the perpendicular crossing to work, it must have a positive slope. We know that 3=(1*M)+B. Perpendicular lines will have slopes that are negative reciprocals of one another.

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

We know the slope must be between 1 and 3. We know the base must be between 1 and 3.

Using the slope formula y-y/x-x

[tex]\frac{5-3}{0-1} \\ m=2[/tex]

Answer:

24

Step-by-step explanation:

Answer:

T = 4.0 s

Step-by-step explanation:

The period of a simple pendulum is given by

[tex]period = 2\pi \sqrt{ \frac{l}{g} } [/tex]

where l = length of the pendulum

= 4 m

g = acceleration due to gravity

= 9.8 m/s^2

[tex]period = 2\pi \sqrt{ \frac{(4 \: m)}{(9.8 \: \frac{m}{ {s}^{2} } )} } = 4.0 \: s[/tex]

Answer:

true negative ×negative =positive

Answer:

True

Step-by-step explanation:

n= negative

p= positive

n*n=p

p*p=p

n*p=n

Answer:

The correct answer is B: XY=4 cm

Step-by-step explanation:

This is correct because the triangles are both leaning in the same direction so the sides are congruent as stated. Congruent, means that they are equal to each other in other words symmetrical. Because of this, they are the same triangle so where 4 is on the first triangle, it will appear on the same side on the other triangle. This means the answer is B. XY = 4 cm

Answer:

The second one

Step-by-step explanation:

It cant be the first because YZ=4cm

cant be the third because m∠Y= 50°

cant be the forth one because m∠Z= 70°

so, it has to be the second one because XY≅AB

so, if AB=4cm then XY=4cm

Answer:

2

Step-by-step explanation:

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

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:

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

Answer:

You are correct great job! I believe you did

1/4 × 1/9 = 1/36 If so thats exactly the right method!

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:

9 out of 10

Step-by-step explanation:

90 percent chance simply means 90÷100

Which is 9 out of 10

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:

A                1 and 2

Step-by-step explanation: