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what is the range of the function f(x) = 3/4 |x| - 3

Answer:

Step-by-step explanation:

The y-intercept is 10 of the line that passes through the points (2,7) and (6,1).

The equation of a line is found using the slope-intercept form of a straight line. We need to know the slope of the line and the intercept where the line crosses the y-axis in order to use the slope-intercept formula. Consider a straight line with y-intercept b and slope m. For a straight line with slope "m" and y-intercept "b," the slope intercept form equation is: y = mx + b.

Given that the points are (2,7) and (6, 1).

To find the equation, using the slope formula;

m = (y₂ - y₁) / (x₂ - x₁)

m = (1 -7) / (6-2)

m = -6/4

m = -3/2

Now to find the slope intercept form,

y = (-3/2)x + b,

here b is the y-intercept.

Now we will substitute the value of (2,7) in the slope intercept equation.

Hence, b = 10

Therefore, the y-intercept is 10 of the line that passes through the points (2,7) and (6,1).

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Answer:

the answer is B (x+9)(x+5)

Answer:

471.24 yd²

Step-by-step explanation:

The formula for the surface area of the cylinder

= 2πr(r + h)

Height = 10 yd

Radius = 5 yd

Surface area =

2 × π × 5(5 + 10)

= 471.24 yd²

The surface area of the cylinder = 471.24 yd²

Answer:

Q.1 360° Q.2 360°

Step-by-step explanation:

Q.1 let the third angle of the triangle be a

70°+40°+a=180(by angle sum property)

110°+a=180

a=180°-110°

a=70°

angle x=70°+x=180°(linear angle)

x=180°-70°

x=110°

angle z= 40°+z=180

z= 180°-40°

z=140°

angle y=a+y=180°

70°+y=+80°

y=180°-70°

y=110°

y+z+x=110° +110° +140°=360

Q.2 let the fourth angle of the quadrilateral be x

120°+70°+60°+ x=360° (by angle sum property)

250°+x=360°

x=360°-250°

x=110°

angle a=120°+a=180°(by linear angle)

a=180°-120°

a=60°

angle b=70°+b=180°

b=180°-70°

b=110°

angle c=x+c=180°

110° + c=180°

c=180°-110°

c=70°

angle d=60°+d=180°

d= 180° -60°

d=120°

a+b+ c+d=120°+110°+60°+70°=360°

Answer:

540 feet 5 feet

Step-by-step explanation:

they're both feet, it cant be a rate.

Answer:

14 radical 2

Step-by-step explanation:

For hypotenuses of isosceles triangle u just multiply by radical two

Answer:

The answer is 20

I hope this helps

Answer:

b

Step-by-step explanation:

i just took it on edge

Line c is a transversal of lines a and b. The blank space filled by b

According to the question blank statement is to be filled.
Line c intersects lines a and b. Line d intersects lines a and b
In the diagram, line c is a transversal of lines a and _____

A line is the shortest distance between two points or a straight curve with zero deflection in it.

Here,
If c intersects line a and line b, then line c is the transversal line for both a and b.

Thus, line c is a transversal of lines a and b.

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Answer:

wish i could help have a gret day

Step-by-step explanation:

Answer:

43-7=36

Number of children in the group=36/2

=18children are there in the group

Step-by-step explanation:

Answer:

The answer is 28.

Step-by-step explanation:

Ok.

☆7x and 3x + 16 are congruent, meaning they equal the same.

☆Since they are equal, we can make an equation out of then.

7x = 3x + 16

☆Then we just solve.

[tex] \: \: \: \: \: \: \: \: \: 7x = 3x + 16 \\ \frac{- 3x = - 3x}{4x = 16} \\ \\ \frac{4x}{4} = \frac{16}{4} \\ \\ x = 4[/tex]

☆Therefore, x equals 4.

☆We are solving for m<KJL so all we need to do is plug in.

[tex]7x \\ 7(4) \\ 28[/tex]

☆You answer is 28.

The required angle is 28°

Two triangles are said to be congruent if all three corresponding sides are equal and all three corresponding angles are equal in measure. These triangles can be slid, rotated, flipped, and turned to be looked identical. If repositioned, they coincide with each other.

Given here ∠KJL=7x and ∠LJM=3x+16

now in ΔKJL & ΔLJM, JL is common and KL=LM, and by Pythagoras  theorem JL²=KL²+JK² & JL²=JM²+LM²

Thus   KL²+JK² = JM²+LM²

⇒        JK=JM

Thus by the SSS criterion, we can conclude that the triangles are congruent.

therefore by CPCT 7x=3x+16

                                4x=16

                                 x=4

so the required angle is 7×4 =28°

Hence, ∠KJL=28°

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Answer:

An=8+(n-1)(-6)

=8-6n+6

=14-6n

A50=14-6(50)

= -286

Answer:

A

Step-by-step explanation:

Ok first we need to find rate of MILES per HOUR

320/6.4=50

m= miles in 9 hours

9*50=450

is your answer

A

(6.4*9)/320m=Hours/miles

Hope this helps!

The number of miles the bus will travel in 9 hours will be 6.4 / 320 = 9 / m. Then the correct option is B.

A ratio is a collection of ordered integers a and b represented as a/b, with b never equaling zero. A proportionate expression is one in which two items are equal.

A bus travels 320 miles in 6.4 hours. if the bus continues at the same rate.

We know that speed is the ratio of distance and time. Then we have

The number of miles the bus will travel in 9 hours will be

320 / 6.4 = m / 9

6.4 / 320 = 9 / m

Then the correct option is B.

More about the ratio and the proportion link is given below.

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Answer:

60

Step-by-step explanation:

Answer: 16, 17 and 18

Step-by-step explanation:

Let the consecutive natural numbers be x, x+1, and x+2. We are informed that the sum of the first and the second is 15 more than the third. This will be:

[x + x + 1] = [x + 2] + 15

2x + 1 = x + 2 + 15

2x + 1 = x + 17

2x - x = 17 - 1

x = 16

The numbers are 16, 17 and 18.

Answer:

[tex]\huge\boxed{a =\frac{s-t}{m-r}}[/tex]

Step-by-step explanation:

In order to convert an equation to solve for another variable, we need to algebraically manipulate the problem until we're left with a isolated on one side.

Step 1: Subtract [tex]t[/tex] from both sides

Step 2: Divide both sides by [tex]m- r[/tex]

Hope this helped!

Answer:

the right answer is$2.66

Answer:

i know im late but i think the answer is A.

Step-by-step explanation:

im sorry if im wrong but its the most reasonable answer.

Answer:

A

Step-by-step explanation:

Answer:

Hii Xxx

Please give your mobile number

Answer:

D) infinitely many solutions

Step-by-step explanation:

5 ( x-3 ) - 3x = 8x - 15 - 6x

5x - 3x - 15 = 8x - 6x - 15

2x - 15 = 2x - 15

2x = 2x

Since, equations of both lines are same. Therefore, there are infinitely many solutions.

Answer:

D

Step-by-step explanation:

Given

5(x - 3) - 3x = 8x - 15 - 6x

5x - 15 - 3x = 2x - 15

2x - 15 = 2x - 15

Since both sides are the same then any real value of x will be a solution.

That is there are infinitely many solutions

9514 1404 393

Answer:

  85°

Step-by-step explanation:

The sum of arcs in a circle is 360°.

  FG +140° +80° +55° = 360°

  FG = 360° -275°

  FG = 85°

Answer: -4 1/6

Step-by-step explanation:

-15/7 ÷ 18/35

-15/7 x 35/18

-5 x 5/6

-25/6

-4 1/6