Slope =3/2 y-intercept =0

Answer:

Please check the explanation.

Step-by-step explanation:

Given the statement:

''Twice the difference of a number and 2 is added to 6 and the result is 4 more than 3 times the number''.

Let us break down the statement into an algebraic expression.

First Portion:

Let the number be: n

The difference of a number n and 2: n -2

Twice the difference of a number n and 2: 2(n-2)

Twice the difference of a number and 2 is added to 6 = 2(n-2) + 6

Second Portion:

3 times the number n:  3n

4 more than 3 times the number: 3n + 4

Combine the First portion and Second Portion:

Twice the difference of a number and 2 is added to 6 and the result is 4 more than 3 times the number:

2(n - 2) + 6 = 3n + 4

Therefore, the required algebraic expression is:

BONUS SOLUTION to determine the number n

Let us solve the expression

2(n - 2) + 6 = 3n + 4

2n - 4 + 6 = 3n + 4

flip the equation

3n + 4 = 2n - 4 + 6

3n + 4 = 2n + 2

3n - 2n = 2 - 4

n = -2

Thus, the value of n = -2

Answer:

Down

3

2

Step-by-step explanation: on edge trust me.

Answer:

Adding –2i to z results in a shift  ✔ down . The resulting number is   ✔ 3  –  ✔ 2 i.

Step-by-step explanation:

just did it on edge :)

good luck

please mark me brainliest!!

Answer:

y = -6/5x + 1

Step-by-step explanation:

The equation that represents a line with a slope of -6/5 and a y-intercept of 1 is y = -6/5x + 1

The given parameters are:

Let the variable of the equation be x.

A linear equation is represented as:

y = Slope * x + y-intercept

So, we have:

y = -6/5 * x + 1

Evaluate

y = -6/5x + 1

Hence, the equation is y = -6/5x + 1

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Answer:

10 three point and 14 5 point

Step-by-step explanation:

Ive answered this same question a lot

Answer:

-3

Step-by-step explanation:

If we substitute the blank in for x, it will make the problem easier.

Divide each side by 4 to isolate x

Solve, negative 12 divided by four is 3. So:

Answer:

there is no solution for x

Step-by-step explanation:

BTW you can use math.way

Answer:

can you type out the entire equation? i'll do my best to solve it. don't screen shot the question tho because for some reason my laptop won't let me see them.

Step-by-step explanation:

Answer:

$0.25

Step-by-step explanation:

to find the amount bookstore A sales after the 20% discount, cross multiply x/15.25=20/100 and you get $3.05. 15.25-3.05 gives you $12.2. substract 12.2 from 12.45 and you get $0.25. book B costs $0.25 more than book A.

Answer:

4.835(I don't know unit.(m/in/cm)

Step-by-step explanation:

volume=πr^2h

136.78=22÷7×3^2×h

h=136.78×7÷(22×9)=4.835

Answer:

The hypotenuse formula is simply taking the Pythagorean theorem and solving for the hypotenuse, c.

Step-by-step explanation:

Solving for the hypotenuse, we simply take the square root of both sides of the equation a² + b² = c² and solve for c . When doing so, we get c = √(a² + b²)

The length of the hypotenuse is 17 cm and this can be determined by evaluating the length of one side of each square and then applying the Pythagorean Theorem.

Given :

The side length of the smaller square can be calculated as:

[tex]a^2 = 64[/tex]

a = 8

The side length of the larger square can be calculated as:

[tex]b^2 = 225[/tex]

b = 15

So, the length of the perpendicular is 8 and the length of the base is 15. Now, apply the Pythagorean theorem in order to determine the length of the hypotenuse.

[tex]\rm H^2=P^2+B^2[/tex]

Now, substitute the values of known terms in the above expression.

[tex]\rm H^2=(8)^2+(15)^2[/tex]

[tex]\rm H = \sqrt{64+225}[/tex]

H = 17 cm

Therefore, the correct option is D) Find the length of one side of each square and then apply the Pythagorean Theorem.

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4,20

i think that the answer

Answer:

Step-by-step explanation:

Assumed Knowledge

Motivation

Content

Radii and chords

Angles in a semicircle

Angles at the centre and circumference

Cyclic quadrilaterals

The alternate segment theorem

Similarity and Circles

Links Forward

Converse of the circle theorems

Coordinate geometry

Calculus

History and Applications

The Euler line

The nine-point circle

Morley’s trisector theorem

Appendix − Converses to the Circle Theorems

Answers to Exercises

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ASSUMED KNOWLEDGE

Introductory plane geometry involving points and lines, parallel lines and transversals, angle sums of triangles and quadrilaterals, and general angle-chasing.

Experience with a logical argument in geometry written as a sequence of steps, each justified by a reason.

Ruler-and-compasses constructions.

The four standard congruence tests and their application to proving properties of and tests for special triangles and quadrilaterals.

The four standard similarity tests and their application.

Trigonometry with triangles.

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MOTIVATION

Most geometry so far has involved triangles and quadrilaterals, which are formed by intervals on lines, and we turn now to the geometry of circles. Lines and circles are the most elementary figures of geometry − a line is the locus of a point moving in a constant direction, and a circle is the locus of a point moving at a constant distance from some fixed point − and all our constructions are done by drawing lines with a straight edge and circles with compasses. Tangents are introduced in this module, and later tangents become the basis of differentiation in calculus.

The theorems of circle geometry are not intuitively obvious to the student, in fact most people are quite surprised by the results when they first see them. They clearly need to be proven carefully, and the cleverness of the methods of proof developed in earlier modules is clearly displayed in this module. The logic becomes more involved − division into cases is often required, and results from different parts of previous geometry modules are often brought together within the one proof. Students traditionally learn a greater respect and appreciation of the methods of mathematics from their study of this imaginative geometric material.

The theoretical importance of circles is reflected in the amazing number and variety of situations in science where circles are used to model physical phenomena. Circles are the first approximation to the orbits of planets and of their moons, to the movement of electrons in an atom, to the motion of a vehicle around a curve in the road, and to the shapes of cyclones and galaxies. Spheres and cylinders are the first approximation of the shape of planets and stars, of the trunks of trees, of an exploding fireball, and of a drop of water, and of manufactured objects such as wires, pipes, ball-bearings, balloons, pies and wheels.

a) The series of transformations to map Circle A onto Circle B is likely a translation. b) The series of transformations to map Circle C onto Circle A is a translation, rotation, and scaling.

a. To map Circle A onto Circle B, we must determine the transformation sequence. We can scale, rotate, and translate.

Translation: An object is translated horizontally or vertically without affecting shape or orientation. To match Circle B, Circle A appears to need to be shifted right and up.

Rotation: An object rotates around a fixed point. Rotation may not be needed since Circle A and Circle B appear to be aligned.

Scaling: An object is resized by scaling. Since Circle A and Circle B are the same size, scaling doesn't seem necessary.

Thus, Circle A-to-Circle B transformations are likely translations.

b. Again, we must determine the transformation sequence to transfer Circle C onto Circle A. Translation: Based on their relative positions, Circle C needs to be shifted left and down to match Circle A.

Rotation: To align Circles A and C, they must be rotated.

Scaling: Circle A is larger than Circle C, hence Circle C should be scaled down.

Thus, translating, rotating, and scaling map Circle C onto Circle A.

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Answer:

Step-by-step explanation:

slope of required line=5

point is (-1,0)

reqd. eq. of line is

y-0=5(x-(-1))

y=5(x+1)

y=5x+5

Answer:

x = 62.96°

Step-by-step explanation:

From the attached figure,

Base, b = 10 ft

Hypotenuse, H = 22 ft

We need to find the value of x. We can use trigonometry to find it.

We know that,

[tex]\cos\theta=\dfrac{B}{H}[/tex]

Putting all the values,

[tex]\cos x=\dfrac{10}{22}\\\\x=62.96^{\circ}[/tex]

So, the value of x is 62.96°.

Answer:

Pizza 5 4 9

Pasta 1 5 6

Salad 3 2 5

Total 9 11 20

Answer:

The answer is Battle of Midway

Step-by-step explanation:

Answer:

b

Step-by-step explanation:

This is the graph to your question. The points include: (0, 6) (2, 10) (-2, 2) (-1,4)

Answer:

22-(-5)= 27

Step-by-step explanation:

22 is the highest temp. -5 is the lowest.

The range of the given temperatures is 27.

"It the difference between the highest and lowest value of the data set."

For given example,

a set of data about temperatures is,

9°C, -3°C, 22°C, -5°C, 11°C, 15°C

First, we arrange the data values in ascending order.

-5°C, -3°C, 9°C, 11°C, 15°C, 22°C

Here, the lowest temperature = -5°C

the highest temperature = 22°C

So, the range of the data set would be,

R = highest temperature value - lowest temperature value

R = 22 - (-5)

R = 22 + 5

R = 27

Therefore, the range of the given temperatures is 27.

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Answer:

Y=10

x=14.14

Step-by-step explanation:

Because the two smaller angles are equal, it is an isosceles triangle with both legs equal in length.

so y=10

By the Pythagorean theorem, x^2=10^2+10^2

x^2=200

x=14.14

Answer:

You payed for 18 months.

Step-by-step explanation:

420-60=360

360÷20=18

Answer:

400.

Step-by-step explanation:

X=1    Y=0

Y-12X+15+3X^2-16X+13-Y=3X^2

-12X+15-16X+13=0

-28X+28=0

X=1

Y=3-16+13=0

Answer: 16 players in total

Step-by-step explanation:

12 divided by 3/4 is 16

12 / 3/4 = p

16 / p

Answer:

40.25 i believe

Step-by-step explanation:

Answer:

x=7

Step-by-step explanation:

∠STP=∠SWT+∠TSW(exterrior ∠ of Δ)

15x=7x+1+7x+6

x=7

Answer:

The total number of members are 128 members

Step-by-step explanation:

From the question, mixing the ratio of children to adult, we have ;

7:9

There are 16 more adult members

So if there are x children, then there are 16 + x adults

Thus, the total number of members will be;

16 + x + x = 2x + 16

Now, we have that;

7/16 * (2x + 16) = x

7(2x + 16) = 16x

14x + 112 = 16x

16x-14x = 112

2x = 112

x = 112/2

x = 56

The total number of members is thus;

2(56) + 16 = 128