write the equation of a line that is parallel to y= 1/2x -4 and that passes through the point (9, -6)​

197.8

Pog Pog Pog Pog Pog

The biker needs to travel 45 km more to complete his journey.

Given that, a biker traveled 2/5 of the road on the first day, then traveled 5 kilometers less on the next day, which is equal to 3/8 of the road, we need to find how much he need to cover more,

Let the total distance of the road be x,
So,

2x/5 - 5 = 3x/8

2x/5 - 3x/8 = 5

Solving for x,

Multiply by 40 to both sides,

16x-15x = 200

x = 200

Therefore, the total distance of the road is 200 km.

Since, he travelled =

200 (2/5) = 80 km + 200 (3/8) = 75 km = 155 km

Therefore, he needs to travel 200-155 = 45 km more.

Hence, the biker needs to travel 45 km more to complete his journey.

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Answer: B, E

Step-by-step explanation:

Answer:

1 3 and 5

Step-by-step explanation:

The first choice definitely works.

2x + 2y = -4

-2x+8y = -4

If you add these two, you will be solving for y.

The second choice does not work.

If you subtracted, it would work, but that is not the way it is written.

The third choice works. You will be solving for x

4x + 4y = - 8

x   - 4y =  2        

The y's cancel and you are solving for x

The 4th choice gains nothing. Nothing can be eliminated.

The 5th choice works. You will get rid of the xs and solve for y.

-x - y = 2

x - 4y = 2

Adding gets rid of the xs and you will be solving for y.

Answer:

L = 6 feet ; W = 4 feet

Step-by-step explanation:

l = 2 + w

perimeter/2 = 8

l + w > 8

2 + w + w > 8

2 + 2w > 8

2w > 8-2

2w > 6

2/2 w > 6/2

w > 3

smallest integer > 3 = 4

W= 4

L = 4 + 2 = 6

The quantity of ribbon that Ali started with was 16/21 feet, based on the mathematical operation of addition.

The basic mathematical operations include addition, subtraction, division, and multiplication.

In the addition operation, two or more addends are added to obtain a result called the sum or total using the equation symbol (=) and the addition operand (+).

The quantity of ribbon attached to the rearview mirror = 2/7

The remaining quantity of ribbon after the attachment = 10/21

The quantity of ribbon Ali started with = 16/21 (2/7 + 10/21)

Thus, using the addition operation, we can conclude that Ali started with 16/21 feet of ribbon.

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The length of the side opposite to the reference angle is 7.77 units.

We know a right-angled triangle has three sides they are -: Hypotenuse,

Opposite and Adjacent.

We can remember SOH CAH TOA which is,

sin = opposite/hypotenuse, cos = adjecen/hypotenuse and

tan = opposite/adjacent.

If we take the reference angle 45°, The side 'x' is opposite and the side having a length of 11 units is the hypotenuse.

We know, sin = opposite/hypotenuse.

Therefore,

sin45° = x/11.

1/√2 = x/11.

x = 11/√2.

x = 7.77 units.

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Answer:

Step-by-step explanation:

The slope of a line given two points can be found by using the formula

\(m = \frac{ y_2 - y _ 1}{x_ 2 - x_ 1}\\\)

From the question we have

\(m = \frac{7 - 4}{1 - 2} = - \frac{3}{1} = - 3 \\ \)

We have the final answer as

Hope this helps you

The triangle has sides

a=8

b=14

c=19

You need to determine the measure of x

To determine the value of x you have to use the Law of Cosines that states that:

Where a, b, and c are the sides of the triangle, and theta represents the angle we are looking for.

So first step is to replace the formula with the given data and solve the exponents

Next solve for the cosine of theta:

And calculate the inverse cosine to determine the measure of the angle

Answer:

Step-by-step explanation:

4+(25-512)=-487+5=-482

The value of the given expression by basic number system law will be 21.

The number system is a way to represent or express numbers.

A decimal number is a very common number that we use frequently.

Any of the multiple sets of symbols and the guidelines for utilizing them to represent numbers are included in the Number System.

As per the given expression,

4 + (5² - 2³)

By basic number system concepts,

⇒ 4 + (25 - 8)

⇒ 4 + 17

⇒ 21

Hence "The value of the given expression by basic number system law will be 21".

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The probability that the animal's weight will be less than 151 pounds is 0.50.

The correct option is B.

Since the given probability distribution ranges from 148 to 152, and we need to find the probability that the animal's weight will be less than 151 pounds, we can add the probabilities corresponding to the weights less than 151.

From the distribution, we see that the probability of the animal's weight being less than 151 pounds is 0.2 + 0.3 = 0.5.

Therefore, the answer is O 0.50.

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Answer:

A

Step-by-step explanation:

Answer:

0.4919

Step-by-step explanation:

From the given data:

187 of the 368 people killed by lightning were men.

i.e

Number of men = 187

Total number of people killed = 368

The objective is to determine the probability that the person killed by lightning is a woman.

The number of women = 368 - 187

The number of women  = 181

The probability that the person killed by lightning is a woman = 181/368

= 0.4919

Answer:

Yquandary dinglegrt

Step-by-step explanation:

go and minijrir

18) x+8 or 8+x

19) x-10

20) x+3=10

22)4>6t or 6t<4

23)4s\(\geq\)70+5

The total area from the graph is 2.737.

Area is the amount of space occupied by a two-dimensional figure. In other words, it is the quantity that measures the number of unit squares that cover the surface of a closed figure. The standard unit of area is square units which is generally represented as square inches, square feet, etc.

First of all, lets calculate the points of intersection (P, Q, R)

x²+3=(x+2) +5

x²-2=√(x+2)

x⁴+4-4x²=x+2

x⁴-4x²-x+2=0

(x-2)(x³+2x²-1)=0

(x-2)(x+1)(x²+x-1)=0

x=2, -1, -1±√(1+4)/2

Clearly, the x-coordinate of Q is -1, P is -1-√5/2, R is -1+√5/2, S is 2

So the limit of integration will be

P( (-1-√5)/2, (-1-√5/2)² +3)=P((-1-√5)/2, (3+√5/2))

Q(-1, (-1)²+3)=Q(-1, 4)

Area A:

\(\int\limits^\frac{3+\sqrt{5} }{2} _4 {-\sqrt{-y-3}-((y-5)^2 -2)} \, dx\)

= \([\frac{-(y-3)^\frac{3}{2} }{\frac{3}{2} }-\frac{(y-5)^3}{3}+3y]^{\frac{3+\sqrt{5} }{2} }_4\)

= 2.07

Area B:

\(\int\limits^\frac{-1+\sqrt{5} }{2} _4 {-\sqrt{x+2}+5-(x^2+3)} \, dx\)

= \([\frac{-(x+2)^\frac{3}{2} }{\frac{3}{2} }+5x-\frac{x^3}{3}-3x]^{\frac{-1+\sqrt{5} }{2} }_{-1}\)

= 0.667

Total area = 2.07+0.667

= 2.737

Therefore, the total area from the graph is 2.737.

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If a pole has two wires attached to it, one on each side, forming two right triangles as shown, then the height of the pole is 29.6 feet

Consider the triangle on left hand side

The length of the base = 34 feet

The measure of angle = 41 degrees

Opposite side is the height of the pole

Here we have to use the trigonometric functions

sin θ = Opposite side / Hypotenuse

cos θ = Adjacent side / Hypotenuse

tan θ = Opposite side / Adjacent side

Here we have to use the equation of tan θ

Substitute the values in the equation

tan 41 = Opposite side / 34 feet

Opposite side = 34 × tan 41

= 29.6 feet

Therefore, the height of the pole is 29.6 feet

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Answer:

Step-by-step explanation:

21 - 6x > 34

-6x > 13

x < -13/6

Answer:

410.305

Step-by-step explanation:

there's the answer for ya

Answers and solutions are attached in the pictures! Hope it helps!

Answer:

(5,1) (4,2) (1,3)

Step-by-step explanation:

since is going a clockwise rotation the -x(5,4,1) all will become positive

Answer:

80 percent off

Step-by-step explanation:

First find the difference in cost (75-15=60)

then divide the difference by the original price 60/75=.8

Answer:

3.6

Step-by-step explanation:

hey, how this helps and is right haha

Answer:

what????

Step-by-step explanation:

I can't understand

Answer:

In city one, the hotel charges before taxes were $5,250.

In city two, the hotel charges before taxes were $6,750.

Step-by-step explanation:

Let the hotel charge in the first city be x and in the second city be y.

Given that the hotel charge before tax in the second city was $ 1500 higher than in the first. That can be written as:

\(y - x = \$1500\) ...[1]

The tax in the first city was 5 %, and the tax in the second city was 8.5 %.

The total hotel tax paid for the two cities was $ 836.25

5% of x + 8.5% of y = $836.25

\(0.05x+0.085y=\$836.25\)...[2]

Now putting value of y from [1] in to [2]:

\(y = \$1500+x\)

\(0.05x+0.085\times (\$1500+x)=\$836.25\)

On solving we get :

x = $5,250

Using vakue of x in [1] to find y:

\(y=\$1500+\$5,250=\$ 6,750\)

In city one, the hotel charges before taxes were $5,250.

In city two, the hotel charges before taxes were $6,750.

An expression for the area of △KNM is = 1/2 x 2b x a

Given,

In the question:

In triangle KNM ;

The length of the base (MK) = 2b

and, height of the triangle is= a

To write an expression  for the area of △KNM .

Now, According to the question:

We know that :

Area of triangle is = 1/2 x base x height

The length of the base (MK) = 2b

and, height of the triangle is= a

Plug all the values in the area of triangle :

Here, Area of triangle is = 1/2 x 2b x a

Hence, An expression for the area of △KNM is = 1/2 x 2b x a.

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Answer:

44 degrees, or A is your answer.

Step-by-step explanation:

You know angle A which is 46 and angle C which is 90, now all you have to do is solve to find angle B.

90+46=136

All the sides have to add up to 180 so simply do 180 - 136.

That will get you 44.

Answer:$31,500

Step-by-step explanation:

To calculate the total amount Mario will pay, including the loan amount and interest, for the loan from First Bank of Trust, we need to calculate the interest and add it to the loan amount.

The formula to calculate simple interest is:

Interest = (Loan Amount) x (Interest Rate) x (Loan Length)

Let's plug in the values given:

Loan Amount = $25,000

Interest Rate = 6.5% (or 0.065 as a decimal)

Loan Length = 4 years

Interest = $25,000 x 0.065 x 4 = $6,500

Now, let's calculate the total amount Mario will pay:

Total Amount = Loan Amount + Interest = $25,000 + $6,500 = $31,500

Therefore, the total amount Mario will pay, including the loan amount and interest, for the First Bank of Trust loan is $31,500.

Answer:

a) next one is previous one -3

b) next one is 3 times previous one

Answer:

The answer is 875. Hope this is helpful.

Step-by-step explanation:

Answer:

875

Step-by-step explanation:

i took the test :)

Answer:

The answer is 525 students.

Step-by-step explanation:

1250 total students

42% = PE

42% of 1250 = \(525\)

Thus, the answer is 525.

Answer: 525 students are enrolled in PE.

Step-by-step explanation:

The length AC in the kite is 8.7 cm.

A kite is a quadrilateral that has two pairs of consecutive equal sides and

perpendicular diagonals. Therefore, let's find the length AC in the kite.

Hence, using Pythagoras's theorem, let's find CE.

Therefore,

7² - 4² = CE²

CE = √49 - 16

CE = √33

CE = √33

Let's find AE as follows:

5²- 4² = AE²

AE = √25 - 16

AE = √9

AE = 3 units

Therefore,

AC = √33 + 3

AC = 5.74456264654 + 3

AC = 8.74456264654

AC = 8.7 units

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