What are the key features of function f? f(x)=log x

Answer:

The measure of ∠ZPX is 63°

Step-by-step explanation:

The given parameters are;

The incenter of the triangle = P

m∠KXP = 31°, m∠PYJ = 27°, [tex]\overline {ZP}[/tex] = 20 feet

Given that the segment [tex]\overline {XJ}[/tex] from the vertex, X, passes through the incenter of the triangle, we have;

The segment [tex]\overline {XJ}[/tex] bisects ∠KXL to form ∠KXP and ∠LXP

Therefore, ∠KXP = ∠LXP = 31°

∠KXL = ∠KXP + ∠LXP = 31° + 31° = 62°

∠KXL = 62°

Similarly;

The segment [tex]\overline {YL}[/tex] bisects ∠KYJ to form ∠PYJ and ∠PYK

Therefore, ∠PYJ = ∠PYK = 27°

∠KYJ = ∠PYJ  + ∠PYK = 27° + 27° = 54°

∠KYJ = 54°

In ΔXYZ, we have, ∠LZJ + ∠KYJ + ∠KXL = 180° based on the sum of the interior angles of a triangle postulate

∴ ∠LZJ = 180° - (∠KYJ + ∠KXL) = 180° - (54° + 62°) = 64°

∠LZJ = 64°

The segment [tex]\overline {ZK}[/tex] bisects ∠LZJ to form ∠PZL and ∠PZJ

Therefore, ∠PZL = ∠PZJ

∠LZJ = ∠PZL + ∠PZJ = 2 × ∠PZL = 64°

∠PZL = 64°/2 = 32° = ∠PZJ

In ΔZPX, we have;

∠PZL + ∠LXP + ∠ZPX = 180° based on the sum of the interior angles of a triangle postulate

∠ZPX = 180° - (∠PZL + ∠LXP) = 180° - (32° + 31°) = 63°

∠ZPX = 63°

The measure of ∠ZPX = 63°

Answer:

Step-by-step explanation:

step one:

given data

we are given the equation of the circle as

[tex](x -4)2^ + (y + 6)^2 = 64[/tex]----------------1

We know that the general equation for a circle is

[tex]( x - h )^2 + ( y - k )^2 = r^2[/tex]--------------2

comparing the two equations above, we can immediately compare the term on the other side of the equality sign that is

r^2=64

square root both sides

r=√64

r=8

since the radius is 8, hence the diameter is

d=2

r= 2*8

=16

Answer:

C. 16

Step-by-step explanation:

Edge!

Answer:

eeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeee hiiii

Step-by-step explanation:

Answer:

1) The graph is opening upwards

2) Axis of symmetry is x=-2

3) Vertex: (-2, 1) minimum y=1

4) y intercept is (0, 9)

5) domain: x|x ∈ R (All real numbers)

6) Range y|y ≥ 1

Answer: 12 days

Step-by-step explanation:

3.87/3=1.29 liters of jam in 1 day

1.29*12=15.48 liters in 12 days

Answer:

12 days

Step-by-step explanation:

Answer:

B. 4/3 is your answer dear.

Step-by-step explanation:

Solve

2/3 * 2/1

coz it is reciprocal .

you'll get 4/3

Hope you got it.

Answer:

Step-by-step explanation:

Given m=-3/5 ; c = -2

y =mx + c

y= (-3/5)x -2

Answer:A

Step-by-step explanation:

Answer:

D ) 25t + 10

Step-by-step explanation:

Re-order terms so constants are on the left:

(5t+2) 5

5 (5t +2)

Distribute:

5 (5t +2)

25t +10

Answer:

25t +10

Answer:

a. Point.

b. Vertex.

c. Line.

d. Line segment.

e. Ray.

Step-by-step explanation:

a. Point: a location, has no dimension. Also, a point doesn't have a size i.e no length, depth, breadth or height.

b. Vertex: is the common endpoint of two segments or rays that form the "corner" of an angle.

c. Line: is an infinite number of points extending in opposite directions that has only one dimension.

d. Line segment: is part of a line that has two endpoints.

e. Ray: is part of a line that has one endpoint and continues in one direction infinitely.

Answer:

I got -18y^7 + 21y^6 + 9y^5

Step-by-step explanation:

Answer:

when u divide both side by 2 the new equation will be y-5x=-3... and equation of a line is written in form of y=mx+c

so y=5x-3

Answer:

A, B and D

Step-by-step explanation:

The zeros of f(x) are the points located on the x- axis, that is where y = 0

We can check which ones are the solutions by finding the zeros of f(x)

To find the zeros let f(x) = 0 , that is

(x² + 2x - 8)(x - 6) = 0 ← factorise the quadratic

(x + 4)(x - 2)(x - 6) = 0

Equate each factor to zero and solve for x

x + 4 = 0 ⇒ x = - 4

x - 2 = 0 ⇒ x = 2

x - 6 = 0 ⇒ x = 6

There are 3 zeros at x = - 4, x = 2, x = 6

These are located at A, B and D

Answer:

A, D, B

Step-by-step explanation:

The roots (zeroes) are the x values where the graph intersects the x-axis. To find the roots(zeroes), replace y with 0 and solve for x.

Answer:

She can cut 180 (9 - inch) pieces

Step-by-step explanation:

A dressmaker needs to cut 9-inch pieces of ribbon from rolls of ribbon that are 9 feet in length. How many 9-inch pieces can the dressmaker cut from 15 of these rolls of ribbon? Before you try that problem, answer the question below.

Step 1

How many inches of ribbon does the dressmaker have, in total?

1 roll of ribbon = 9 feet

15 rolls of ribbon = x feet

x = 15 roll × 9 feet

x = 135 feet

Converting from Feet to inches

1 foot = 12 inches

135 feet = x inches

Cross Multiply

x = 135 × 12 inches

x = 1620 inches

The dress maker cuts 9 inches each

How many 9-inch pieces can the dressmaker cut from 15 of these rolls of ribbon?

15 rolls of ribbon = 1620 inches of ribbons

Hence: = 1620 inches/9

= 180 pieces

She can cut 180 (9 - inch) pieces

Answer:

c

Step-by-step explanation:

im right i took the test

Answer:

D

Step-by-step explanation:

6. 6

5. 5

3. 3

1. 1

1 output for each input

Answer:

#3- x=2.73

#4- x=8

Step-by-step explanation:

Answer: X = 3 / X = 8

Step-by-step explanation:

3. (Angles add up to 180)

30x + 4 + 86 = 180

30x + 90 = 180

subtract 90 from both sides

30x = 90

Now divide by 30

x = 3

Check your work ( input 3 to the equation)

30(3) + 4 + 84

90+ 90 = 180  it works :)  

4. (Angles are adjacent to each other so there equal)

10x - 3 = 77

add 3 to both sides

10x = 80

divide it by 10

x = 8

Check your work ( input 8 to the equation )

10(8) -3 = 77

80 - 3 = 77

77 = 77

Answer:

Liters

Step-by-step explanation:

Every recipient that has a volume of liquid in it,you mesure it in liters!

Answer:

The required equation of the graph with the coordinates of (4, -1) will be:

The graph is also attached.

Step-by-step explanation:

Given the coordinates (4, -1)

If we put the coordinate values (4, -1) in the given equations, we determine that only [tex]y=\left(x-4\right)^2-1[/tex] is the valid equation as it satisfies the given coordinate value.

For example, putting  (4, -1) in the equation

[tex]y=\left(x-4\right)^2-1[/tex]

[tex]\left(-1\right)=\left(4-4\right)^2-1[/tex]

[tex]-1=\left(0\right)^2-1[/tex]

[tex]-1=0-1[/tex]

[tex]-1=-1[/tex]

So, the equation [tex]y=\left(x-4\right)^2-1[/tex] is true for the coordinate values (4, -1).

Therefore, the required equation of the graph with the coordinates of (4, -1) will be:

Please check, the graph is also attached.

Answer: there is no question. Its empty

Step-by-step explanation:

Answer:

with what

Step-by-step explanation:

Answer:

s = -0.75

Step-by-step explanation:

Answer:

C I did the test sorry if im wrong

Step-by-step explanation:

<3 Goodluck

Answer: False

Step-by-step explanation: Let's review the idea of graphs.

For a graph to be linear, it must be a straight line.

To determine whether a given graph is a function,

we use the vertical line test.

The vertical line test tells us that if a vertical line is drawn on a graph,

and hits the graph in more than one place, the graph is not a function.

In fact, this definition tells us the only type of linear graph

that will fail the vertical line test, and that's a vertical line.

Any vertical line that we draw will be both linear and not a function.

One possible graph could be x = 2.

Any vertical line will fit this description.

Answer:

5.33%

Step-by-step explanation:

(28,400,000÷30,000,000 ) × 100%

= 94.67%

the reduced amount = 100 - 94.67

= 5.33%

Answer:

5.333333333333334%

Step-by-step explanation:

5.333333333333334% of 30,000,000 = 1,600,000

Tip: Don't get scared by numbers, percentage don't change by how many zeros, i found this just by figuring out by: 1.6 is what percentage of 30?

You could find it on a "Percentage calculator"

Hope this helps!

Ace Carlos

Answer:

frame b because it takes up more room than the other some it forces the other to be smaller

Step-by-step explanation:

Answer:

Step-by-step explanation

It is Frame B trust me it is bigger.

Answer:

From (0,3) you go down 2 point then go right 3 points

Answer:

(5,1)

(3,4)

(2,2)

(1,5)