HELP !!!

A taxi driver uses this formula to work out the price of a journey, in pounds. price of journey = 3 + 2 x distance in miles. Leah has £5, the journey to her home is 2.5 miles. She asks the taxi driver to take her as near to home as possible. How far will she need to walk to arrive home?

answer:

x=74 y=27

steps:

triangle in the middle is

180-126 = 54

180-85 = 95

180-149 = 31

126=2x+1+31

126=2x+32

2x=94

x=74

126+2y=180

2y=54

y=27

Answer: (x+z+y)(y+z)

Step-by-step explanation:

y(x+z)+z(x+y)+y^2+z^2

Factor out y and z from the expression

= y(x+z+y)+z(x+y+z)

Factor out x + z + y from the expression

= (x+z+y)(y+z)

The sum of the angle 5 and angle 6 is 180 degrees. Then the correct option is C.

When two angles are said to be supplementary angles if their sum is 180 degrees.

A triangle is shown with its exterior angles.

The interior angles of the triangle are angles 2, 3, 5.

The exterior angle at angle 2 is angle 1.

The exterior angle at angle 3 is angle 4.

The exterior angle at angle 5 is angle 6.

We know that the sum of interior and exterior angle of the triangle is 180 degrees.

∠1 + ∠2 = 180°

∠3 + ∠4 = 180°

∠5 + ∠6 = 180°

Then the correct option is C.

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Answer:

s = 17units

Step-by-step explanation:

For this problem, we are trying to find a specific unknown side length.

We're actually given some extraneous information (information that is not needed to solve the problem):  It isn't necessary to know that BC is 5.

If the side AD with the unknown length is part of a right triangle (the triangle in red in the attached diagram), we can use the Pythagorean Theorem to solve for AD.

It isn't clear if the diagram you were provided gives ∠ABD as a right angle,  if it only gives ∠CBD as a right angle, or if it gives both as a right angle.  Below, we prove that it doesn't matter, because regardless, both must be right angles.

Is Triangle ABD a "right triangle"?

Since B is between A and C, then the two angles ∠ABD & ∠CBD form a linear pair, and by the linear pair postulate are supplementary.  Since they are supplementary, their measures add to 180°.  Using the fact that all right angles are 90°, substitution, the subtraction property of equality, arithmetic, the measure of ∠ABD is also 90°, and thus must be a right angle.  Thus, based on the given information, both ∠ABD & ∠CBD must be right angles.

Consequently, triangle ABD is a right triangle, by definition (it is a triangle that has a right angle).

Pythagorean Theorem

Since triangle ABD is a right triangle, the Pythagorean Theorem can be applied.

The Pythagorean Theorem states that [tex]a^{2} +b^{2} =c^{2}[/tex] where "c" is the hypotenuse (the side across from the right angle) and "a" and "b" the the lengths of the two other sides (called legs) of the right triangle.  (Aside: Because of the commutative property of addition, it doesn't matter which of the two legs' lengths is used for a, and which is used for b.  The only thing that is required is that "c" be the length of the hypotenuse)

In our triangle, side AD, with unknown length "s" is the length of our hypotenuse, and sides AB and BD are the two legs.  Substituting values into the Pythagorean Theorem equation, we can solve for the unknown "s":

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

[tex](8)^{2} +(15)^{2} =(s)^{2}[/tex]

[tex]64 +225 =s^{2}[/tex]

[tex]289 =s^{2}[/tex]

Applying the square root property...

[tex]\pm \sqrt{289} =\sqrt{s^{2}}[/tex]

[tex]s=17 \text{ or } s=-17[/tex]

Final Solution

We discard the negative solution we obtained, since s represents the length of the side of a triangle.

s = 17units

Answer:

17

Step-by-step explanation:

Answer:

Kathy and Lilly

Step-by-step explanation:

Because they both are nearest to the leader distance of 5 meters

The length of the diagonal LN would be 8.60 units.

To find the distance between the two coordinates, We use distance formula ;

[tex]d = \sqrt{(x_2 - x_1)^2 + (y_2-y_1)^2}[/tex]
Lets put the values of L and N,
d= [tex]\sqrt{(0 - -5)^2 + (-3-4)^2}[/tex]

d =[tex]\sqrt{25+49}[/tex]

d= [tex]\sqrt{74}[/tex]

d= 8.60 units

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Answer:

Point Form:

(9,12)

Equation Form:

x = 9

y = 12

Step-by-step explanation:

Answer:

[tex]\fbox{x = 9, y = 12}[/tex]

Step-by-step explanation:

[tex]\textsf {Let's solve by substitution.}[/tex]

[tex]\rightarrow \mathsf {-5x + 4y = 3}\\\rightarrow \mathsf {x = 2y - 15}[/tex]

[tex]\textsf {Substitute for x in the first equation of the system.}[/tex]

[tex]\implies \mathsf {-5(2y-15)+4y=3}[/tex]

[tex]\implies \mathsf {-10y+75+4y=3}[/tex]

[tex]\implies \mathsf {-6y=-72}[/tex]

[tex]\implies \textbf {y = 12}[/tex]

[tex]\implies \mathsf {x = 2(12) - 15}[/tex]

[tex]\implies \mathbf {x = 9}[/tex]

[tex]\textsf {The solution is : x = 9, y = 12}[/tex]

The expression -4 (-11 + 4n) – 3(- 2n + 9) is equivalent to the expression 17 — 10n.

The equivalent is the expressions that are in different forms but are equal to the same value.

The expression is given below.

⇒ -4 (-11 + 4n) – 3(- 2n + 9)

On simplifying, we have

⇒ 44 – 16n + 6n – 27

⇒ 17 — 10n

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ответ: д
-1/2 * 16 = -8
или 16/(-2) = -8

Answer: by rewriting equation in the form, / 1\2 16 X 4X 4 f=~1_~) (Do-2)2=g=~

Step-by-step explanation: hope this helps

Answer:

0.4706

Step-by-step explanation:

Using trigonometric formulas we know:

[tex]sin(x) = \frac{opposite}{hypotenuse}[/tex]

Here, our opposite is the side opposite to the angle A, which in this case is the line BC which is equal to 8.

The hypotenuse is the diagonal line, which in this case is AB, and this is equal to 17.

Therefore,

[tex]sinA = \frac{8}{17} =0.4706[/tex]

Our final answer is 0.4706.

Answer:

8/17= 0.4706 is the answers for the question

Step-by-step explanation:

please mark me as brainlest

Answer:

B. [tex]\mathsf {\frac{1}{13}(26x-169)=\frac{1}{12}(-156+24x) }[/tex]

Step-by-step explanation:

[tex]\mathsf {\frac{1}{13}(26x-169)=\frac{1}{12}(-156+24x) }[/tex]

2x - 13 = -13 + 2x

2x - 13 = 2x - 13

As both sides are equal, any value can be substituted for x, and hence it has infinitely many solutions.

Answer:

B. 1/13(26x - 169) = 1/12(-156 + 24x)

Step-by-step explanation:

When looking for an equation with infinetly many solutions, we are looking for an equation that is true when simplified

such as: 3c = 3c

or x - 10 = - 10 + x

this is because any value that we put in for x will simplify to a true equation (will be a solution)

so, let's examine the options:

A. if we combine like-terms on both sides, we will end up with                                23 + 32x = 32x + 26

which is false, for any value that we put in for x

B. this statement is true--regardless of the value for x.

1/13 · 26 is the same as 1/12 · 24 (both equal 2; so both sides would distribute to 2x)

1/13th of -169 is -13; and 1/12th of -156 is -13

so, for all values of x, option B is true

(all values of x are a solution; and "x" could be any value)

C. by distributing the 2 (6 - 4x = -5x + 7), we find an equation that is not true for all values of x [we don't even have to find the solution, we just know that there will only be a/a few solution ]

D) because the variable, x, is only on one side (and when distributed, is not cancelled by any other x), we know that it cannot be true for infinetly many solutions

(the only true solution will be when the equation is simplified to 4/18 = 4/18)

hope this helps!!

Answer:

  b, c

Step-by-step explanation:

A function is continuous if its graph can be drawn without lifting the pencil. It is decreasing wherever its slope is negative.

__

A graph of the function is attached. It has a "jump" discontinuity at x=0, so is not a continuous function.

The value of f(0) is 2, so the y-intercept is 2.

The given function is defined for all values of x, so its domain is all real numbers.

The function is decreasing for values of x > 0, so does not approach positive infinity for large positive x.

The function has a stationary point at x=0, so is not decreasing over its entire domain.

_____

Additional comment

The function is decreasing everywhere except at x=0. The point (0, 2) is the vertex of the quadratic portion of the function, so a tangent is horizontal there. At such horizontal tangent points, a function is neither increasing nor decreasing. It is tempting to ignore this exception, because the function is decreasing everywhere else.

Answer:

x=1/5

Step-by-step explanation:

You have to isolate x. First, add the one to the sider to give you 5x=1. In order to get the x by itself, you have to divide the 5 into both sides. In the end, this gives you x=1/5.

Answer:

Y + 15 = 30

Y = 30 - 15

Y = 15

15 is not equal to 20

False

Answer:

i think B i don't know but i only guess

Answer:

from the image above

Triangle ABE = Triangle ADE

AE = AE ( common).

angle AEB = angle AEO ( each 90°)

AB = AD ( given).

by side angle side criteria

so area of ABE = area of ADE

similarly,

BC = DC ( given)

BEC = DEC ( 90°)

EC = EC ( 9m each)

so area of BEC = Area of DEC

Answer:

D. (90, 60)

Step-by-step explanation:

A proportional relationship is a relationship in which the ratios of two variables are equivalent.

If we take two points on the graph such as (45, 30) and (30, 20), we can see that they can both be simplified to the ratio 3:2. Using this we can find the correct answer. From looking at all the points we can see that only (90,60) would also form a ratio of 3:2, thus d would be the correct answer.

The difference quotient of the expression will be 4.

f(x) = 5 + 5x + 4x²

f(3) = 5 + 5(3) + 4(3)³

= 56

Now [f(x) - f(3)]/(x - 3) will be:

= (4x² + 5x + 5 - 56)/(x - 3)

= (4x² + 5x - 51)/(x - 3)

= (4x² + 17x - 12x - 5)/(x - 3)

= (4x + 17)(x - 3)/(x - 3)

= 4x + 17

The difference quotient will be:

g(x + h) = 4(x + h) + 17

= [g(x + h) - g(x)]/h

= (4x + 4h + 17 - 4x - 17)/h

= 4h/h

= 4

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Answer:

5 ,6,8,8,9,18

Step-by-step explanation:

5 ,6,8,8,9,18

Range:

18-5=13

Median:

8

Mean:

5+6+8+8+9+18=54

54÷6=9

Answer:

Step by step explanation:

The problem tells us that at the end of the day, there are only 5 workers left, which we must find how many days it takes to finish said work.

We start by finding the type of proportionality we have.

In this case, we have that the more workers there are, they will finish that work in less time, and the fewer workers there are, the longer it will take to finish the work. This is the inverse proportionality, to more less, to less more.

We have only 5 workers left.

In the first case there are 10 workers, and in the second case there are 5 workers left. We find the relationship between the workers in the second case among the workers in the first case.

We see that the time is found by dividing the number of days in which the 10 workers finish the work, by 1/2.

As we know, dividing two fractions is the SAME as multiplying by the inverse fraction.

[tex]\rm 30 * 2/1 \: = 60 \: days[/tex]

By so

Answer: −x2+

5

x

=

7

Move

7

to the left side of the equation by subtracting it from both sides.

−

x

2

+

5

x

−

7

=

0

Once the quadratic is in standard form, the values of

a

,

b

, and

c

can be found.

a

x

2

+

b

x

+

c

Use the standard form of the equation to find

a

,

b

, and

c

for this quadratic.

a

=

−

1

,

b

=

5

,

c

=

−

7

Step-by-step explanation:

Answer:

16.6

Step-by-step explanation:

Add the numbers together.

13.2+20=33.2

Now divide the number by 2.

33.2/2=16.6

Hope this helps!

If not, I am sorry.

Step-by-step explanation:

I don't know on my mommy that Is the answer

Answer:

There were 920 children and 830 adults.

Step-by-step explanation:

Let C be the number of children and A be the number of adults. Set up equations. Using the attendance of 1750 people, we can write:

c+a=1750

Using the total money collected of 9860, we can write:

3.50c+8.00a = 9860

Solve by substitution. Using (1), we solve for a to obtain (3): a=1750—c

Substutute (3) to (2) and solve for c:

3.50c + 8.00(1750 — c) = 9860

3.50e+ 14000 — 8.00c = 9860

—4.50e= —4140

c=920

Solve for a using (3):

a=1750 — 920

a=830

So, there were 920 children and 830 adults. (They better have been 6 ft apart)

As angles opposite congruent sides in a triangle are congruent, and also since the interior angles of a triangle add to 180 degrees, if we let angle EFG have a measure of x, then angle GEF also measures x, and thus:

82+x+x=180

2x=98

x=49

Thus, angle EFG is 49 degrees.

So, by the exterior angle theorem, angle DEG measures 82+49=131 degrees

Let's take this problem step by step:

What we know:

 [tex]x+y=4\\xy=-2[/tex]

Before we solve, let's do one thing that will help us out greatly later down the road:

 [tex]x+y=4\\(x+y)^2=4^2\\x^2+2xy+y^2=16\\x^2+2(xy)+y^2=16\\x^2+2(-2)+y^2=16\\x^2+4+y^2=16\\x^2+y^2=20[/tex]<--- useful equation

Let's rearrange the problem a little bit:

 [tex]x+\frac{x^3}{y^2}+\frac{y^3}{x^2} +y=\frac{x^3}{x^2} +\frac{x^3}{y^2}+\frac{y^3}{x^2}+\frac{y^3}{y^2}[/tex]

Combine fractions of common denominators:

[tex]\frac{x^3+y^3}{x^2} +\frac{x^3+y^3}{y^2} =(x^3+y^3)*(\frac{1}{x^2}+\frac{1}{y^2} )[/tex]

Now's let factor everything apart:

 [tex](x^3+y^3)=(x+y)(x^2-xy+y^2)\\\\\frac{1}{x^2}+\frac{1}{y^2} =\frac{x^2+y^2}{x^2y^2}[/tex]

Let's use what we know and our useful equation:

 [tex](x+y)*(x^2-xy+y^2)*(\frac{x^2+y^2}{x^2y^2} )\\=4*(x^2+y^2-xy)*(\frac{20}{(xy)^2} )\\=4*(20-(-2))*\frac{20}{(-2)^2} \\=4*22*5\\=440[/tex]

The value is 440

Answer: 440

Hope that helps!

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Answer:

You are right...........

Answer:

Check all of them

Step-by-step explanation:

If you are on Edg, just check all of them.

Answer:

Simplifying -16t2 + 48t + 160 = 0

Reorder the terms: 160 + 48t + -16t2 = 0

Solving 160 + 48t + -16t2 = 0 Solving for variable 't'.

Factor out the Greatest Common Factor (GCF), '16'. 16(10 + 3t + -1t2) = 0

Factor a trinomial. 16((5 + -1t)(2 + t)) = 0 Ignore the factor 16.

hope it helps.

Answer:

1.5

Step-by-step explanation:

The average rate of change is 1.5

when x=0 , the value of y =1

when x=2 the value of y = 4

average rate of change formula = [tex]\frac{f(b)-f(a)}{b-a}[/tex]

a= 0 , f(a)=1

b=2, f(b)= 4

4 - 1 / 2 - 0 = 3/2 = 1.5