What is the slope and y-intercept of 3y = 3x -9?

The congruent reason for the triangles is (b) HL theorem

From the question, we have the following parameters that can be used in our computation:

Triangles = FGH and JHK

The SSS similarity theorem implies that the corresponding sides of the two triangles in question are not just similar, but they are also congruent

From the question, we can see that the following corresponding sides on the triangles:

Sides GH and HK

Sides FH and JK

These parameters are given in reasons (2) and (3) and it implies that these sides are congruent sides

For the triangle to be congruent by SSS, the following sides must also be congruent

GH must be congruent to HK

The above statement is true because point H is the midpoint of line GK

This is indicated in reason (2)

Hence, the congruent statement is SSS.

However, we can also make use of the HL theorem in (B)

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Answer:

 √125

Step-by-step explanation:

(0,0) (10,5)=(x1,y1) (x2,y2)

 √(x2-x1)²+(y2-y1)²

 √(10-0)²+(5-0)²

 √10²+5²

 √100+25

 √125

Answer:

y = \(\frac{1}{2}\)x

Step-by-step explanation:

identify two points on the line: (2, 1) (4, 2) to find the slope(\(\frac{y2 - y1 }{x2 - x1}\)) for the line

=> \(\frac{2- 1}{4-2}\) => \(\frac{1}{2}\)

find the y-intercept:

=> 0

substitute the slope and y-intercept into the equation y = mx + b

                                                                                      slope ↑       ↑ y-intercept    

=> y = \(\frac{1}{2}\)x + 0

=> y = \(\frac{1}{2}\)x

Answer:

0.55 least            3

3/5= .6 greater    2

2/3= .66​ greatest 1

Step-by-step explanation:

give me brainliest pls

Answer:-1/6

Step-by-step explanation:

Draw a line out in the 2nd quadrant.

Your y=\(\sqrt{35}\)    hypotenuse=6  use pythagorean theorem to solve for x

6² = 35 + x²

x=1

so

cosΘ = -1/6

2916 ft³

Volume helps describe the amount of space that a shape takes up.

Volume of a Sphere

Volume describes the 3-dimensional size of a shape. Since volume is a 3-D measurement, the units should be cubed; this explains why the answer is given in feet cubed. In order to find the volume, we need to use the radius. The radius of a sphere is the distance from the center to the outside. In this case, we are told that the radius is 9 ft.

Volume Formula

Every regular shape has its own volume formula. For a sphere, the formula is:

So, to find the volume, all we need to do is plug in the radius. For this sphere, r = 9.

When using 3 for pi, the volume of the sphere is 2916 ft³.

Answer:

76%

Step-by-step explanation:

57/75

(57 X 100)/ 75

5700/75

1900/25

76/1

76

The value of f(5) is positive

At f(x) = 0, the value of x is 1

For the interval f(x) ≤ 0, the values of x are [-2, 1]

From the question, we have the following parameters that can be used in our computation:

The graph

On the graph, we have

f(5) = 1

This means that f(5) is positive

Also, we have

When f(x) = 0, the value of x is 1

For the interval f(x) ≤ 0, we have the values of x to be

-2 ≤ x ≤ 1

When represented as an interval, we have

[-2, 1]

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Answer:

Step-by-step explanation:

Hello!

Unfortunatelly you didn't upload the grid with the scales chosen by Candance.

Using the options you gave I've constructed four dotplots.

Y-axis: number of words per minute.

X-axis: number of minutes

To choose the set of X-Y I'll use the following guidelines:

-A graduate typist can type an average of 100-120 words per minute, then a students expected value will be less than 100 words per minute and a minimum of ≅30 words per minute (beginner).

Graph A

(x) 5 12 15 18 20

(y) 140 336 420 504 560

Considering the scale, and the words per minute for this scale are 140wods/5minutes= 28 words per minute. For a beginner this typing speed is acceptable.

Graph B

(x) 140 336 420 504 560

(y) 5 12 15 18 20

For this scale the words per minute are 5/140= 0.035 words per minute. This scale is wrong, someone actively typing wouldn't be so slow.

Graph C

(x) 1 2 4 5 7

(y) 30 60 120 150 210

The words per minute using this scale are 30 words per minute, for a beginner this is also an acceptable typing speed.

Graph D

(x) 15 18 20 24 28

(y) 450 504 600 720 840

For this scale the value of words per minute is 450/15= 30

The only graph off scale is B, the other three can be possible  data sets for a typing student. I've attached the 4 graphics so you can compare them the grid.

I hope this helps!

Therefore , the solution of the given problem of logarithm comes out to be x =100.

Mathematically speaking, the reciprocal of a power is the logarithm. Therefore, the base-b logarithm of a given number, x, is equal to the exponential by which bc must be extended to acquire it. For instance, because 1000 = 103, whose base-10 logarithm, or log10 = 3, is 3. As an example, the square of ten is one hundred, but the base-10 logarithm of ten is two. Log 100 = 2. The mathematical concept of a logarithmic (or log) is used to respond to questions like.

Here,

Given : log x  =2

=> log x  =2

=>  x = antilog (2)

=> x  = 100

Therefore , the solution of the given problem of logarithm comes out to be x =100.

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Answer:

x=3

(26x+50degreese) = 134 degreese

Step-by-step explanation:

1. Figure STUV is congruent to Figure KLMN because rigid motions can be used to map Figure STUV onto Figure KLMN.

2. Figure STUV is also similar to Figure KLMN because rigid motions and/or dilations can be used to map Figure STUV onto Figure KLMN. The scale factor is 2.

When it is said that two figures are congruent, like the ones shown on the graph, This means that they have the same shape and size.

Similar figures have the same shape, but they may have different sizes and be located in different positions.

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Answer:

2x - 6 = 20

2x - 6 + 6 = 20 + 6

2x = 26

x = 13

The number should be 13

Step-by-step explanation:

Answer:

0.75/.75

Step-by-step explanation:

The expression can be rewritten by given term as;  3^15

We need to simplify the expression below:

(3^2 x 3^3)^3

Remember that we can add these exponents, so we get:

(9 x 9)^3 = 81^3

Then we can rewrite this as:

531441

Takin the product between the exponents we will get:

(3^5)^3

Thus, the solution is 3^15

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The rate of the slower car is 77km/hr

Velocity is the rate of change of displacement with time. It is measured in meter per second and it is a vector quantity.

velocity = displacement/time

displacement = velocity × time

represent the faster car by v1 and the slower car by v2

v1 = v2+16

V2 = v1-16

Total displacement = 680km

680 =( v1+V2)t

680 = (v1+V2)4

v1+v2 = 680/4

v2+16+v2 = 170

2v2 = 170-16

2v2 = 154

v2 = 154/2

v2 = 77km/hr

therefore the rate of the slower car is 77km/hr

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Answer:

The model airplane is 10 feet.

Step-by-step explanation:

1/8= 0.125

0.125 x 80 = 10 feet

Answer: 5(5 + 9). This expression can be solved by multiplying 5 by both the addends. So, 5(5) + 5(9) = 25 + 45 = 70.

Step-by-step explanation:

Answer:

46.8 cm²

Step-by-step explanation:

The diagonal of the square has length \(\sqrt{6^2+10^2}=2\sqrt{34}\). Therefore, the radius of the circle is \(\sqrt{34}\), meaning the area is \(\pi(\sqrt{34})^2 \approx 34(3.14)=106.76\).

The area of the rectangle is \((6)(10)=60\) cm².

Subtracting the areas, the answer is 46.76 cm², which is 46.8 cm² to the nearest tenth.

Answer: D) 7 3/4

Step-by-step explanation:

With averages, we add all the values and divide by the number of values. Here, we know three out of the four days, let's label the day we don't know x. There are four days, so we can divide by four. 7 1/4 is the average, so we can set the equation equal to 7 1/4.

7 1/4 = (7 1/2 + 7 3/8 + 6 3/8 + x) / 4

Let's multiply both sides by 4 to get rid of the fraction. Let's also add what is in the parentheses

29 = 21 1/4 + x

Now we can isolate x by subtracting 29-21 1/4

so

x = 7 3/4 thus the answer is D

Answer:

D) 7 3/4

Step-by-step explanation:

Let x = amount of last feeding.

7 1/4 = (7 1/2 + 7 3/8 + 6 3/8 + x)/4

4 × 7 1/4 = 7 1/2 + 7 3/8 + 6 3/8 + x

28 + 1 = 7 4/8 + 7 3/8 + 6 3/8 + x

29 = 20 10/8 + x

(20 10/8 is the same as 20 + 10/8 = 20 + 8/8 + 2/8 = 20 + 1 + 1/4 = 21 + 1/4 = 21 1/4)

29 = 21 2/8 + x

29 = 21 1/4 + x

x = 29 - 21 1/4

x = 28 4/4 - 21 1/4

x = 7 3/4

Answer: 7 3/4

Answer:

72

Step-by-step explanation:

75% of 96 =

= 75/100 * 96

= 3/4 * 96

= 3 * 96/4

= 288/4

= 72

She needs to pay N $8378.31 in two and a half years from now to meet her obligation.

What are the basic arithmetic operations?

The four basic mathematical operations are Addition, subtraction, multiplication, and division.

Let's first calculate the total interest on the loan for three and a half years:

Interest = Principal × Rate × Time

Interest = 20000 × 0.05 × 3.5

Interest = 3500

So, the total amount she needs to pay back on maturity is:

20000 + 3500 = N$23500

Now, let's subtract the amount she plans to pay in the next 10 months and 16 months:

N$23500 - N$2000 - N$5000 = N$16500

So, she needs to pay N$16500 in two and a half years from now to meet her obligation.

Alternatively, we can also calculate the present value of the remaining payments using the formula for present value of an annuity:

PV = \(PMT \times (1 - (1 + r)^{(-n)}) / r\)

where PV is the present value, PMT is the payment amount, r is the interest rate per period, and n is the number of periods.

Using this formula, we get:

PV = \(2000 \times (1 - (1 + 0.05/12)^{(-10})) / (0.05/12) + 5000 \times x (1 - (1 + 0.05/12)^{(-16)}) / (0.05/12)\)

PV = N$13658.80

So, the amount she needs to pay in two and a half years from now to meet her obligation is the present value of the remaining payments:

PV = \(PMT \times (1 + r)^{(-n)}\)

N$13658.80 = \(PMT \times (1 + 0.05/12)^{(-30)}\)

PMT = N$8378.31

Hence, she needs to pay N$8378.31 in two and a half years from now to meet her obligation.

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Using the law of indices

This can further be simplify into;

Answer:

is there a question orrrr

The result of 1/11 in the base 10 system is given as is 0.09.

To visualize the long division of 1 ÷ 11 in a base ten system:

Set up the long division: 11 outside and 1.00 inside the division bracket.

Place the decimal point in the quotient above the dividend's decimal point.

Bring down the first digit (0) and divide 11 into 10; it goes 0 times.

Subtract the product (0) from 10, leaving 10.

Bring down the next digit (0) and divide 11 into 100; it goes 9 times.

Subtract 99 from 100, leaving a remainder of 1.

The result is 0.09.

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Answer:

1

Step-by-step explanation:

The maximum of f(x) = sin(x) is 1. The sine function has a range of -1 ≤ sin(x) ≤ 1. The sine function oscillates between -1 and 1, reaching a maximum of 1 when x = π/2 and a minimum of -1 when x = -π/2.  If you look at a graph of

y = sin(x) you can see this.  

Answer: The Maximum Value of f(x)=sin(x) is 1 , when x=90°.

Step-by-step explanation:

Property of Sine function:

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Answer:

d² - 24d + c = (d - 12)² - 144 + c

The area of the square is given as 100 square unit

You should be aware that the square has all its sides equal

The perpendicular from opposite vertices represent distance

The given vertices are

(2,2) and (10,8)

Using the formula for distance between two points

d=√(10-2)²+(8-2)²

d=√8²+6²

d = √64+36

d=√100

This implies that d=10

The area of a square is given as s²

Area = 10²

Atrea = 100 square units

In conclusion, the area of the square is 100 square units

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Translated question:

The vertices of a square ABCD are A(2,2) and B(10,8), Find the area of the square

Answer: 0.02655

Step-by-step explanation:

Explanation: The formula for finding the probability of no successes in a binomial experiment is given by (1 - p)^n, where p is the probability of success in a single trial and n is the number of trials. In this case, p = 0.30 and n = 6. So, the probability of no successes is (1 - 0.30)^6 = 0.02655.

Answer:

The answer would be C. 5 Hours

Step-by-step explanation:

Hopes this helps and good luck :)