Given the points C(5, -1) and D(-5, 3), find the coordinates of the point P on directed line segment CD that partitions segment CD such that the ratio of CP to PD is 1:3

Answer:

∠ A ≅ ∠ F

Step-by-step explanation:

Given that the triangles are congruent, then corresponding angles are congruent, that is

∠ A ≅ ∠ F

∠ B ≅ ∠ E

∠ C ≅ ∠ D

The correct statement from the list is therefore ∠ A ≅ ∠ F

Answer:

Indirect Variation

Step-by-step explanation:

Answer:

Domain : x ∈ Real Numbers

Range : y ≥ 30

Step-by-step explanation:

The given equation is:

[tex]y^2-9x^2=900[/tex]

Simplifying it

[tex]\frac{y^2}{900}-\frac{9x^2}{900}=\frac{900}{900}\\\frac{y^2}{900}-\frac{x^2}{100}=1\\\frac{y^2}{30^2}-\frac{x^2}{10^2}=1[/tex]

Where Standard equation of parabola is:

[tex]\frac{y^2}{a^2}-\frac{x^2}{b^2}=1[/tex]

Which are similar. Conic Section is a parabola.

Simplify the given equation:

[tex]y^2-9x^2=900\\y=\sqrt{9x^2+900},y=-\sqrt{9x^2+900}\\y=3\sqrt{x^2+100},y=-3\sqrt{x^2+100}[/tex]

For whatever value of x, term under the square root always remains positive, so

Domain : x ∈ Real Numbers

For minimum value of x i.e 0, y=30. If we increase x, y also increases. So

Range : y ≥ 30

Answer:

x ≈ - 1.28

Step-by-step explanation:

Using the rule of logarithms

[tex]log_{b}[/tex] x = n ⇔ x = [tex]b^{n}[/tex]

Given

ln(x + 4) = 1 , then

x + 4 = [tex]e^{1}[/tex] ( subtract 4 from both sides )

x = [tex]e^{1}[/tex] - 4 = - 1.28 ( to the nearest hundredth )

Answer:

$68.00 (Ignoring tax)

Step-by-step explanation:

80 x 0.15 = 12

80-12=68

Answer:

b

Step-by-step explanation:

Answer:

-10=m+(-15)

or,-10=m-15

or,-m=-15+10

or,-m=-5

m=5

Hope it helps

Good luck on your assignment

Answer:

[tex]m = 5[/tex]

Step-by-step explanation:

[tex] - 10 = m + ( - 15) \\ - 10 = m - 15 \\ - 10 + 15 = m \\ m = 5[/tex]

hope this helps

brainliest appreciated

good luck! have a nice day!

Answer:

D.

Step-by-step explanation:

Bottom of the ladder is base, a = 3 ft

Top of the ladder from the ground is the perpendicular, b = 4 ft

We have to find the length of ladder, c = ?

So we'll use Pythagoras theorem

c² = a²+b²

c² = 3²+4²

c² = 9+16

c² = 25

Taking square root on both sides, we'll get

c = 5 feet

Answer:

Using pythagoras theorem

hypotenus^2=Adjacent^2+Opposite^2

H^2=3^2 + 4^2

H^2=9+16

H^2=25

H=square root of 25

H=5

Hope it helps.

The answer is 5 feet.

Answer:

B

Step-by-step explanation:

Answer:

1. 56x - 480

2. 40x + 80

3. LENGTH = 72 feet, WIDTH = 66.4 feet

part 2: Regular means that all sides and angles are the same length

4. 6x

5. 216 feet

Step-by-step explanation:

(20x + 24) * (36x - 20)

56x - 480

2(20x + 24) + 2(36x - 20)

40x + 48 + 72 - 40

40x + 80

176 = 40x + 80

176 - 80 = 40x + 80 - 80

96 = 40x

96 / 40 = 40x / 40

2.4 = x

(20(2.4) + 24)

(36(2.4) - 20)

6(36)

The vertex and [tex]x-[/tex]intercepts of the graph of [tex]y= x^2 - 6x - 7[/tex] will be  [tex](3,-16)[/tex] and [tex](7,-1)[/tex], respectively.

A vertex in a quadratic equation is the minimum or maximum point of the equation and  an [tex]x-[/tex]intercept of a graph is the point at which the graph intersects the [tex]x-[/tex]axis.

Vertex form, [tex]y=a(x-h)^2+k[/tex]

We have,

[tex]y= x^2 - 6x - 7[/tex]

Now,

Find the [tex]x-[/tex]intercept  and to find [tex]x-[/tex]intercept put [tex]y=0[/tex] ;

i.e. [tex]y= x^2 - 6x - 7[/tex]

[tex]0= x^2 - 6x - 7[/tex]

[tex]x^2 - 6x - 7=0[/tex]

Now using Mid-term split method find value of [tex]x[/tex];

[tex]x^2 - 7x+1x - 7=0[/tex]

[tex]x(x - 7)+1(x - 7)=0[/tex]

[tex](x - 7)(x +1)=0[/tex]

[tex](x - 7)=0[/tex]⇒[tex]x=7[/tex]

[tex](x +1)=0[/tex]⇒[tex]x=-1[/tex]

So, these are the [tex]x-[/tex]intercept [tex](7,-1)[/tex] of the expression.

Now find the vertex using the above given formula;

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

Rewrite in vertex form

[tex]y= x^2 - 6x - 7[/tex]

Add and subtract [tex](-3)^2[/tex] in given expression;

[tex]y= x^2 - 6x + (-3)^2 -7 - (-3)^2[/tex]

[tex]y = x^2 - 6x + 9 -7 - 9[/tex]

[tex]y = x^2 - 6x + 9 -16[/tex]

Now convert quadratic part of equation in [tex](a-b)^2[/tex];

[tex]y = (x-3)^2-16[/tex]

Now compare it with [tex]y=a(x-h)^2+k[/tex]

We get,  [tex]h=3,\ k=-16[/tex]

So, these are the vertex [tex](3,-16)[/tex] of expression.

Hence, we can say that the vertex and [tex]x-[/tex]intercepts of the graph of [tex]y= x^2 - 6x - 7[/tex] will be  [tex](3,-16)[/tex] and [tex](7,-1)[/tex], respectively.

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Answer:

60

Step-by-step explanation:

5 x 4 x 3=60

Answer:

24 ways

Step-by-step explanation:

4x3x2

12x2

24

Answer:

 y = 4

Step-by-step explanation:

The two given points both have the same y-value, so the line through them is a horizontal line. None of the answer choices is correct for the points given here.

Answer:

I am not sure what to answer because you are a little unclear, but from what I can see, that means that there would be 14 normal card, and 2 marked cards. I am not sure what you are trying to find, but I am going to assume that you  are trying to find the probability of chossing the marked cards. If you are trying to find the prob. of pulling just one of the cards, then it would be 2/14, or 1/7. If you are seeking the probability of getting both cards, without replacement, then I dont know.

Step-by-step explanation:

Answer: median is 22.5

Step-by-step explanation:

Answer:

22.5

Step-by-step explanation:

median means middle and because there is 4 digits, you have to find the middle of 22 and 23 which is 22.5

Answer:

B

Explanation:

Matches all the points on the graph

Answer:

B (the answer selected in the picture)

Step-by-step explanation:

The points in Quadrant 1:

~from left to right~

(2, 0)

(3, 3)

(4, 5)

The point in Quadrant 2:

(-5, 4)

The points in Quadrant 3:

~from left to right~

(-3, -2)

(-1, -2)

The point in Quadrant 4:

(6, -4)

All of these points are listed in the second answer choice; therefore this answer is correct.

Answer:

Graph A ; Option B

Step-by-step explanation:

Consider the criteria for the graph;

[tex]Criteria;\\\\Crosses Y - axis at Point - ( 0, - 7 ),\\Decreases Before Crossing Y - axis,\\Remains Constant after Crossing Y - axis,\\[/tex]

Now take a look at each option before us;

[tex]Graph A - \\1. Travels Down,\\2. Crosses Y - axis at Point ( 0, - 7 )\\3. Remains Constant\\\\Graph B - \\1. Travels Upward,\\2. Crosses Y - axis at Point ( 0, 7 )\\3. Remains Constant\\\\Graph C - \\1. Travels Down,\\2. Crosses Y - axis at Point ( 0, - 7 )\\3. Travels Upward[/tex]

Comparing the three, we conclude that Graph A meets the provided criteria, which confirms that it is the right answer;

[tex]Solution ; Graph A[/tex]

C Graph A is your answer

Easy claps!

Answer: D) y = 2(5)^x

Step-by-step explanation: 2=2(5)^0 1250=2(5)^4

IT's basic prealgebra!

Answer:

D

Step-by-step explanation:

Answer:

ratio

Step-by-step explanation:

Sign " : " is called Colon it represents the ratio, which is an ordered pair of a & b (b =! 0) which is a/b, represent as a:b.

The ratio is comparison of two quantities, usually by dividing them. By comparing one data point (A) to another data point (B), the formula would be A/B. This means you are dividing information A by information B.

Ratio data is a form of numeric data. It measures variables on a continuous scale, with an equal distance between adjacent values.

Learn more about Ratio here

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Answer:

x = 5/2       x = -4

Step-by-step explanation:

2x^2 + 3x – 20 = 0

Factor

(2x -5) (x+4) = 0

Using the zero product property

2x-5 =0     x+4 = 0

2x=5           x = -4

x = 5/2       x = -4

Answer:

Minimum number of voters for the democratic candidate would be 3120 voters.

Step-by-step explanation:

Total number of people turning out to vote = 12,000

Percentage of votes a democratic would get = 30%

Which means that it is expected that a democratic candidate will get: 30/100 · 12,000 = 3600 votes

However, the polling may have an error of +4% to -4%

Which means that the votes a democratic candidate will get will range from 30%+4% = 34% to 30%-4%= 26% of the total people who turn out to vote

Minimum number of voters can be determined by taking 26% of the total people who turn out to vote:

Minimum number of votes = 26/100 · 12,000 = 3120

Answer:

the answer is D (the last one)

Step-by-step explanation:

Answer:

The symmetric property of congruence is:

If ∠A ≅ ∠B, then ∠B ≅ ∠A.

If, AB ≅ CB, then CB ≅ AB.

Step-by-step explanation:

Two triangles are said to be congruent if they have the same three sides and the same three angles, not necessarily the same sides or the same angles are equal.

The properties of congruence are:

For all angles A, ∠A ≅ ∠A. That is, all angles are congruent to themselves.

If AB is side of a triangle then, AB ≅ AB.

For any angles A and B if, ∠A ≅ ∠B, then ∠B ≅ ∠A.

For sides AB and CB of a triangle if, AB ≅ CB, then CB ≅ AB.

For any angles A, B and C if, ∠A ≅ ∠B, and ∠B ≅ ∠C then ∠A ≅ ∠C.

For sides AB, CB and CA of a triangle if, AB ≅ CB, and CB ≅ CA, then AB ≅ CA.

Thus, the symmetric property of congruence is:

If ∠A ≅ ∠B, then ∠B ≅ ∠A.

If, AB ≅ CB, then CB ≅ AB.

Answer

x= 60

Step-by-step explanation:

100/25= 4

25*4 =100

15*4 = x

x= 60

Answer:

60

please see the attached picture for full solution

hope it helps

Good luck on your assignment