solve the system by graphing y=-x+10 y=x+8

Answer:

55

Step-by-step explanation:

Using the Pythagorean theorm:

a^2+b^2=c^2

48^2+b^2=73^2

b^2=73^2-48^2

b^2=3025

b=55

Answer:

The cake cost $6.00

Step-by-step explanation:

Let c = the cost of the cake

Let t =  the cost of the tea

c = 2t

c + 5t = 21  Substitute 2t for c

2t + 5t = 21  Combine like terms

7t = 21  Divide both sides by 7

[tex]\frac{7t}{7}[/tex] = [tex]\frac{21}{7}[/tex]

t = 3  

A cup of tea costs $3.00

c = 2t  Substitute 3 for t

c = 2(3)

c = 6

A cake costs $6.00

Answer:

Cake: £6

Step-by-step explanation:

1c = 2t             Eq. 1

1c + 5t = 21      Eq. 2

c = cost of a cake

t = cost of a cup of tea

Replacing Eq. 1 in Eq 2:

2t + 5t = 21

7t = 21

t = 21/7

t = 3

From Eq. 1:

c = 2t

c = 2*3

c = 6

Check:

From Eq. 2:

c + 5t = 21

6 + 5*3 = 21

6 + 15 = 21

If a point is on the bisector of an angle, then it is equidistant from the two sides of the angle. Explanation is given.

Lines that cross the angle under investigation are known as angle bisectors. To "bisect" is to split into two sections of equal size. Therefore, the bisected halves divide the considered angle in half.

According to the angle bisector theorem;

An angle bisector divides the opposing side of a triangle into two portions that are proportionate to the other two sides, according to the angle bisector theorem.

a point is equally far from both sides of an angle if it is on the angle's bisector.

According to the inverse of the angle bisector theorem, a point is on the angle's bisector if it is both in the interior of the angle and equally far from its sides.

The explanation with diagram is given in the image.

Therefore, If a point is on the bisector of an angle, then it is equidistant from the two sides of the angle.

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Answer:

A and D

Step-by-step explanation:

so sorry im in school

x+y=4

 -y.  -y

x=4-y

4-y-y=2

4-2y=2

-4      -4

-2y= -2

/-2.   /-2

y=1

x+1=4

  -1 -1

x=3

so A and D is correct

Answer:

(sqrt3)/2

Step-by-step explanation:

Sin(x)=opposite/hypotenuse

30, 60, 90 right triangle.

ratio of sides are 1, sqrt3, and 2.

Locate the 60 degree angle on the triangle

The opposite side is sqrt3

The hypotenuse is 2

so its (sqrt3)/2

Answer:

√3/2 or 0.866

Step-by-step explanation:

The length of the line segment with endpoints P(2, 1, -4) and Q(-1, 5, 3) is 8.60 units

To find the length of a line segment with endpoints P(x1, y1, z1) and Q(x2, y2, z2) in three-dimensional space, we can use the distance formula:

length = √((x2 - x1)² + (y2 - y1)² + (z2 - z1)²)

Substituting the coordinates of P and Q into the formula, we get:

length = √((-1 - 2))²  + (5 - 1))²  + (3 - (-4)))² )

          = √((-3))²  + (4))²  + (7))² )

         = √(9 + 16 + 49)

         = √(74)

        = 8.60 units

Therefore, the length of the line segment is 8.60 units

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When she uses 5 bags of coffee every day at her café, half of a bag of coffee lasts for 10 days.

Multiplication is the inverse of division. If 3 groups of 4 add up to 12, 12 split into 3 equal groups adds up to 4 in each group in division. The basic purpose of splitting is to determine how many equal groups develop or how many people are in each group when distributing equally. Division is a basic operation that divides an integer. It's best to imagine of it as a group of things being distributed among a group of individuals, as in the preceding example.

Here,

number of bags needed in a day=5

number of days 1/2 bag last,

=5÷1/2

=10 days

Half of bag of coffee last for 10 days when she uses 5 bags of coffee every day in her café.

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The time since dinosaurs became extinct is roughly equal to 10⁶ average human lifespans

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

Rewrite the exponents properly

So, we have the following representation

This means that

Number of times = Time since dinosaurs became extinct/Average human lifespan

Substitute the known values in the above equation, so, we have the following representation

Number of times = 2.4 x 10¹⁰/2.4 x 10⁴

Evaluate the quotient

Number of times = 10⁶

Hence, the number of times is 10⁶

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A graph is a collection of points and the connections between some subset of those points that may or may not be empty in mathematical terms.

The given function is f (x ) = [tex]3e^{2x}[/tex]

1. Domain :

2.Range :

3.Continuity:

4.Behaviour that is either increasing or decreasing:

5.Symmetry:

6.Boundedness:

7.Extrema:

8.Asymptotes:

9.End behaviour :

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Answer:

B

Step-by-step explanation:

970 + 2436 = 3406

Answer:

------------------------------

Given:

Find y if x = a:

Correct choice is B.

0.117 Or 11.7% chance of n should the player choose in order to maximize the probability of winning a prize.

The probability of precisely x successes on n further trials in an experiment with two potential outcomes is referred to as the binomial probability (commonly called a binomial experiment).

When a procedure is performed a certain number of times (for example, in a group of patients), the result for each patient can either be a success or a failure, the binomial distribution model enables us to calculate the probability of witnessing a defined number of "successes."

The probability of winning a prize remains the same for. n = 10 or n=20 or n = 100; the probabilities are the same.

Given that,

p = 0.5, So, q = 1 - 0.5 = 0.5.

If 70% of 'n' games are won then 30% of n games must be lost.

Let n = 10.

Therefore, P ( x = 3) = [tex]^{10}C_3p^7q^3[/tex]

or, P ( x = 3) = [tex]^{10}C_3(0.5)^7(0.5)^3[/tex]

or, P (x = 3) = 120×0.0078×0.125.

or, P (x = 3) = 0.117 Or 11.7% chance.

Now, Changing the value won't have any effect as all the 'n's are multiple of 10 and we'll have same probability.

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The angle 2 is 149° , angle 3 is 31° , angle 4 is 149°

What is the name for two opposing angles?

Angles where two lines cross that are directly opposite one another are known as opposing angles. The vertex, where the lines come together to produce the angle, is the location of the junction. Vertical angles are another name for opposite angles.

Given that :
Angle 1 is = 31°

Angle 2 is = 180 - 31 = 149° (As in a line total angle is 180°)

Angle 3 is = 31° (As equal opposite angle with angle 1)

Angle 4 is = 149°  (As equal opposite angle with angle 2)

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Answer:

Step-by-step explanation:

A linear equation has only more than one additional, that may be expressed as , and the further discussion can be defined as follows:

In this, No factor has been raised the power which is greater than one or utilized as the denominator of a fraction.  

When we discover pairs of values that satisfy a linear model and plot them on a coordinate grid, all the points fall on the same line.

Please find the attached file of the graph.

The length of the other leg of the triangle is 11.7 inches

Now, According to the question:

We have the right triangle

The length of the right triangle is 24 inches

The length of the hypotenuse is 26.7 inches

To find the length of the other leg of the triangle

We know that the Pythagorean theorem.

The Pythagorean theorem states that the sum of the squares of the two legs is equal to the hypotenuse squared.

Let the length of the other leg of the triangle be 'x'

According to the information:

[tex]24^2 + x^2 = 26.7^2[/tex]

576 + [tex]x^{2}[/tex] = 712.89

[tex]x^{2}[/tex] = 712.89 - 576

[tex]x^{2}[/tex] = 136.89

x = [tex]\sqrt{136.89}[/tex]

x = 11.7

Hence, The length of the other leg of the triangle is 11.7 inches.

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The solution is

a) The compound interest for the second period is $ 2.01 and the amount after the second period is $ 404.01

b) The compound interest for the first period is $ 114.125 and the amount is $ 18,374.125

The compound interest for the second period is $ 114.83828125 and the amount after second period is $ 18,488.96

What is Compound Interest?

Compound interest is interest based on the initial principle plus all prior periods' accumulated interest. The power of compound interest is the ability to generate "interest on interest." Interest can be added at any time, from continuously to daily to annually.

The formula for calculating Compound Interest is

A = P ( 1 + r/n )ⁿᵇ

where A = Final Amount

P = Principal

r = rate of interest

n = number of times interest is applied

b = number of time periods elapsed

Given data ,

a)

Let the principal be P = amount after first period =  $ 402

Now , the rate of interest r = 6 %

The compound interest is calculated by compounding monthly

Now , the interest for the second period = ( PRT / 100 x 12 )

Substituting the values in the equation , we get

The interest for the second period = ( 402 x 6 x 1 ) / 1200

The interest for the second period = $ 2.01

The amount after the second period = amount after first period +  interest for the second period

The amount after the second period = 402 + 2.01

The amount after the second period = $ 404.01

b)

Let the principal be P = $ 18260

The rate of interest r = 2.5 %

The compound interest is calculated by compounding quarterly

Now , the interest for the first period = ( PRT / 4 x 100 )

Substituting the values in the equation , we get

The interest for the first period = ( 18260 x 2.5 ) / 400

The interest for the first period = 45650 / 400

The interest for the first period = $ 114.125

The amount for the first period = 18260 + 114.125

The amount for the first period = $ 18,374.125

Now , the principal for the second period = interest + amount of first period

The principal for the second period = $ 18,374.125

The rate of interest = 2.5 %

The interest for the second period = ( PRT / 4 x 100 )

Substituting the values in the equation , we get

The interest for the second period = ( 18374.125 x 2.5 ) / 400

The interest for the second period = 45935.3125 / 400

The interest for the second period = $ 114.83828125

The amount for the second period = 18,374.125+ 114.84

The amount for the second period = $ 18,488.96

Hence , the amount and interest is calculated

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The value of the variable x is -2

An algebraic expression can be defined as an expression made up of terms, variables, coefficient, factors and constants.

These expressions are also made up of arithmetic or mathematical operations, which includes;

From the information given, we have;

2 ^ (x + 3) * 3 ^ (x + 4) = 18

Now, let's find the factors of 18 in 2's and 3's, we have;

2 ^ (x + 3) * 3 ^ (x + 4) = 2^1 × 3^ 2

Collect the common factors, we get;

x+ 3 + x + 4 = 1 + 2

collect like terms

2x = 3 - 7

2x = -4

make 'x' the subject of formula

x = - 2

Hence, the value is -2

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The equation of the line is 3y = -4x + 18 and the Graph can draw as given in the picture.

The slope-intercept form a line is given by  

where m is the slope of a line and c is the y-intercept.

Here we use the Slope intercept form to find the line of the equation by using the equation we will draw the graph of the line

Here we have

Slope of line = -4/3

The point of the line

As we know y = mx + c is the line Here m is the slope of the line

From the given data, m = -4/3

=> y = (-4/3)x + c

=> 3y = -4x + 3c

Given that the point on the line is (-6, 2)

=> 3(2) = -4(-6) + 3c

=> 6 = 24 + 3c

=>  3c = 18

=> c = 6

Therefore,

The equation of the line is 3y = -4x + 18 and the Graph can draw as given in the picture.

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Answer:

[tex]b = 6\sqrt{2}[/tex]

Step-by-step explanation:

Don't say giving brainiest for work, I will still help you.

Use the Pythagorean Theorem to solve:

[tex]a^2+b^2=c^2[/tex]

A and B refers to the legs, or the shorter sides. C refers to the hypotenuse, or the longest side.

Plug in what you know:

[tex](7)^2+b^2=(11)^2[/tex]

[tex]49 + b^2 = 121[/tex]

Subtract 49 on both sides.

[tex]49 - 49 + b^2 = 121-49[/tex]

[tex]b^2=72[/tex]

Find the square root of both sides.

[tex]\sqrt{b^2} = \sqrt{72}[/tex]

b = [tex]6\sqrt{2}[/tex]

Answer:3-4 times  but im not sure but here my logic

use it to your needs

Step-by-step explanation:

she has 5 shirts and 3 jackets right
so take the first shirt the third jacket then the fourth shirt the 2nd jacket
that 2 outfits then take the second shirt and the last remaining jacket then on the weekend wear one of the non-used shirts no jacket or the first jacket
-ElectricWolfieOnYT

The perimeter of the object is the sum of the lengths of all the sides

which is 302 units.

Perimeter is the sum of the lengths of all the sides of a planar two-dimensional figure.

In the case of a circle, we call it perimeter circumference it is the distance around the circle.

Given, A figure has side lengths EF = 71, FD = 80, ED = 74, IG = 40, and

HG = 37.

Now the perimeter of this figure is the sum of the lengths of all the sides which is,

= (EF + FD + ED + IG + HG).

= (71 + 80 + 74 + 40 + 37).

= 302 units.

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Observing the provided figure and using the transformation rule of geometry, The required transformation to map figure H onto figure I is reflection along y=x axis.

A point, line, or geometric figure can be transformed in one of four ways, each of which affects the shape and/or location of the object. Pre-Image refers to the object's initial shape, and Image, after transformation, refers to the object's ultimate shape and location.

In a mirror line, reflection is a type of transformation that reverses the shape so that each point is at the same distance from the mirror line as its reflected point.

Figure H

Mapped onto figure I

The required transformation:

reflection along y=x.

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Sample size  123  is needed to estimate the mean weight to within 135 lbs with a 99% confidence level

What is confidence interval?

In statistics, the probability that a population parameter will fall between a set of values for a predetermined percentage of the time is referred to as the confidence interval. Analysts frequently employ confidence ranges that include 95% or 99% of anticipated observations.

Z(α/2) at 99% confidence level = 2.576

λ = 579

margin of error = ( Z(α/2) * λ ) / √n = 135

                        (2.576 * 579) / √n = 135

On simplifying, n ≈ 123

So, sample size  123  is needed to estimate the mean weight to within 135 lbs with a 99% confidence level

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Answer:

2.  43 degrees

3.  35 degrees

Step-by-step explanation:

Srr the attached worksheet.

Answer:

A. 36/5

Step-by-step explanation:

cross multiply

6/5 = x/6

5x = 36

x = 36/5

Answer:

A) [tex]\frac{36}{5}[/tex]

Step-by-step explanation:

[tex]\frac{6}{5}[/tex] = [tex]\frac{x}{6}[/tex]  Cross multiply and solve for x

36 = 5x  Divide both sides by 5

[tex]\frac{36}5}[/tex] = [tex]\frac{5x}{5}[/tex]

[tex]\frac{36}{5}[/tex] = x

Answer:

y = 1/4x - 4

Step-by-step explanation:

4x + y = 3

y = -4x + 3

Perpendicular slope = 1/4

y = 1/4x + b

-3 = 1/4(4) + b

-3 = 1 + b

b = -4

y = 1/4x - 4

Answer:

[tex]51.4^{\circ}[/tex]

Step-by-step explanation:

Since this is a right triangle, the cosine formula says

[tex]\cos(x) = \dfrac{5.3}{8.5}[/tex]

[tex]\longrightarrow cos(x) = 0.6235[/tex]

[tex]So\\\\x = \cos^{-1}(0.6235) = 51.4256^{\circ}[/tex]

Rounded to the nearest tenth this would be
[tex]51.4^{\circ}[/tex]

Answer:

1/64

Step-by-step explanation:

1/8 x 1/8 = 1/64

Answer:

D

Step-by-step explanation:

multiply by 8 and add 5.

so,

we need to do this for every unit value and see, if the result is the same as the listed output value.

5 -> 5×8 + 5 = 45

6 -> 6×8 + 5 = 53

7 -> 7×8 + 5 = 61

8 - > 8×8 + 5 = 69

9 -> 9×8 + 5 = 77

10 -> 10×8 + 5 = 85

so, D is the correct answer.

Answer:

Below

Step-by-step explanation:

m = slope = rise / run

m = 5 for this equation

rise /run = 5

15 / run = 5

run = 3