Simplify each expression

Answer:

[tex]y+5=-\frac{2}{7} (x-4)[/tex]

Step-by-step explanation:

Hi there!

What we need to know:

1) Determine the slope (m)

[tex]-7x+2y=14[/tex]

First, rearrange this given equation into slope-intercept form ([tex]y=mx+b[/tex]) so we can easily find the slope.

Add 7x to both sides to isolate 2y

[tex]-7x+2y+7x=7x+14\\2y=7x+14[/tex]

Divide both sides by 2 to isolate y

[tex]y=\frac{7}{2} x+7[/tex]

Now, we can identify clearly that the slope of this line is [tex]\frac{7}{2}[/tex]. Because perpendicular lines have slopes that are negative reciprocals, we know that the slope of the line we're currently solving for will have a slope of [tex]-\frac{2}{7}[/tex].

[tex]m=-\frac{2}{7}[/tex]

2) Plug all necessary values into [tex]y-y_1=m(x-x_1)[/tex]

[tex]y-y_1=m(x-x_1)[/tex]

We know that [tex]m=-\frac{2}{7}[/tex] and that the given point is (4,-5). Plug the slope into the equation

[tex]y-y_1=-\frac{2}{7} (x-x_1)[/tex]

Plug the point into the equation

[tex]y-(-5)=-\frac{2}{7} (x-4)\\y+5=-\frac{2}{7} (x-4)[/tex]

I hope this helps!

Answer:

(1, 7)

Step-by-step explanation:

By looking at the graph, the solution is (1, 7).

Answer:

66 pots

Step-by-step explanation:

The height of flower pot is 66 inches

The unitary method is a technique for solving a problem by first finding the value of a single unit, and then finding the necessary value by multiplying the single unit value.

Given:

Measurement of mug = 6 inches

as, the slower pot is 11 times taller than the mug

=11 * 6

=66 inches.

Hence, the height of flower pot is 66 inches

Learn more about unitary method here:

https://brainly.com/question/22056199

#SPJ2

Answer:

The total compound interest is $502.74 i think

Step-by-step explanation:

24/5

[tex] \frac{24 \times 5000 }{5 \times100 } = \frac{240 \times 5000}{100} = 240 \times 50 = 12000 =12000 + 240 = 12240 [/tex]

Answer:

Step-by-step explanation:

www.564bdyjkthl

Answer:

The area is 88 square inches.

Step-by-step explanation:

To get the area of a rectangle, you multiply the length and the width.

The length of this rectangle is 11 inches and the width is 8 inches.

11x8=88

Tip: You can multiply by 11s easily if you replace the ones with the number you are multiplying. This only works for numbers up to 9 though.

Example:

11x5=55

11x2=22

Answer:

The correct solution is "114.39".

Step-by-step explanation:

The given expression is:

⇒ [tex]\frac{127}{4} +\frac{62}{3}\times \frac{24}{6}[/tex]

On solving the above expression with the help of BODMAS rule, we get

Firstly we will have to apply division, we get

=  [tex]31.75+20.66\times 4[/tex]

Now we will have to apply multiplication, we get

=  [tex]31.75+82.64[/tex]

On adding, we get

=  [tex]114.39[/tex]

The answer to your question is 38.6

Step-by-step explanation:

C = 3 × 34

C = 102

Usually it's

C = 3.14 × 34

C = 106.76

This is a more accurate answer but with your question specifically, the answer above is more correct.

Answer:

1800

Step-by-step explanation:

Let y represent the normal selling price

y-y×25/100= 1350

y-y/4= 1350

4y-y/4= 1350

3y/4 = 1350

Cross multiply both sides

3y= 1350×4

3y= 5400

Divide both sides by the coefficient of y whichj is 3

3y/3= 5400/3

y= 1800

Hence the normal selling price is 1800

Answer:

what are the hypotheses?

Step-by-step explanation:

you said the hypotheses are as folows its not there

Answer: n × n× 6

length time width both = n and hight is 6 so n × n × 6

Step-by-step explanation:

Answer:

G(x) or at least in the question i hae seen but i do not see your table so just gonoff of what i say below becase it might be f(x)

Step-by-step explanation:

Exponetial funtions are when you have a power of, for example g(x)=1+6x^2

It increases at a rather fast pace because of the power of 2 in this equaion when if it did not have thepower of 2 it would increase at a slower pace

Answer:

conjunction

Step-by-step explanation:

Answer:

Conjunction is correct answer. (I think)

Answer:b

Step-by-step explanation:

Answer:

18 ft^2

Step-by-step explanation:

4 x 4 = 16

4 x 1 = 4

4 / 2 = 2

16 + 2 = 18 ft.^2

Answer:

18 ft²

Step-by-step explanation:

Area of the triangle: [tex]\frac{1}{2}[/tex] (1 × 4) = 2 ft

Area of the square: 4 × 4 = 16 ft

Add up the areas

You get 18 ft²

Step-by-step explanation:

a thing or situation that is annoying because it is complicated or involves a lot of effort

Answer:

A≈249.02cm

Step-by-step explanation:

Answer:

b=5√3

Step-by-step explanation:

Find the last side of the triangle using the Pythagorean theorem.

[tex]a^{2} +b^{2} =c^{2} \\5^{2} +b^{2} =10^{2} \\b^{2} =10^{2}-5^{2}\\\\b=5\sqrt{3}[/tex]

Answer:

A

Step-by-step explanation:

the numbers available in the set is {4,10,22} all are even numbers only.

Answer:

Step-by-step explanation:The area of an isosceles triangle is the amount of space enclosed between the sides of the triangle. Besides the general area of the isosceles triangle formula, which is equal to half the product of the base and height of the triangle, different formulas are used to calculate the area of triangles, depending upon their classification based on sides. These different types based on sides are given below:

Equilateral Triangle- A triangle with all sides equal.

Isosceles Triangle- A triangle with any two sides/angles equal.

Scalene Triangle- A triangle with all unequal sides.

Answer:

50/50

Step-by-step explanation:

Answer:

1/8 because {(T , T , T), (T , T , H),(T , H , T), (T , H , H),(H , H , H),(H , H , T),(H , T , H),(H , T , T)} which has 8 combinations in total so that means 1/8... 8 is denominator because 8 combinations 1 is for each one.

Answer:

Step-by-step explanation:

take angle B as reference angle

using cot rule

cot B=adjacent/opposite

cot B=5/12

cot B=0.41

B=cot 67.5

B=67.5 degree

for ratio,

cot B=5/12

Answer:

Step-by-step explanation:

Scientific notation allows us to write large numbers in smaller quantity by reducing the number to a figure less than 10 but more than one and then multiplying it by a power of 10 to show its actual size. For instance, 65,000,000 will be written as 6.5 * 10⁷ to represent the total number of digits that it has after the decimal.

$247,000,000:

This would be 2.47 * 10⁸

$5,200,000:

This is 5.2 * 10⁶.

Answer:

i think its 54. i might be incorrect.

Step-by-step explanation:

Answer:

54º

Step-by-step explanation:

This really cannot be determined because the combined angle is not marked as 90º

let's assume it is 90º

(7x + 12) +(2x + 24) = 90

Combine like terms

9x + 36 = 90

Subtract 36 from both sides

9x = 54

Divide both sides by 9

x = 6

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

7(6) + 12 = 54º

2(6) + 24 = 36º

54º is the larger angle

Answer:3x+140

Step-by-step explanation:

Answer:

23x+120

Step-by-step explanation:

3x+20x+120

Combine Like Terms:

=3x+20x+120

=(3x+20x)+(120)

=23x+120

Answer:

The total water usage at the park this year, in gallons, U = 16,206 + 22.2·x

Step-by-step explanation:

The given parameters are;

The increase in water usage for both regular days and special event for the current year = 20%

The water usage for last year regular days = 13,505 gallons

The water usage per special event = 18.5 gallons

The total water usage = 13,616 gallons

Therefore, we have;

The water usage for regular days on the current year = 13,505 gallons + (20/100)×13,505 gallons = 16,206 gallons

The water usage per special event for the current year, x = 18.5 gallons + (20/100) × 18.5 gallons = 22.2 gallons

The total water usage, U, at the park this year in terms of 'x', the number of special events the park hosted is given by the sum of the amount of water used on regular days and the product of 'x', and the amount of water used per special event this year as follows;

U = 16,206 gallons + x × 22.2 gallons

∴ The total water usage at the park this year, U = 16,206 + 22.2·x

Answer:

U=16,206+22.2 ^. x

Step-by-step explanation:

Answer:

The straight-line distance between the parents' and grandparents' houses = 9.83 miles.

Step-by-step explanation:

Given - To get to his parents' house, Mateo would have to drive due north 2.1 miles. To get to his grandparents' house, he would have to drive due east 9.6 miles.

To find - What is the straight-line distance between the parents' and grandparents' houses? If necessary, round to the nearest tenth.

Solution -

By the given information, the figure becomes -

From the Graph, we can see that,

The side MP = 2.1

The side MG = 9.6

And By using Pythagoreas Theorem, we get

(PG)² = (MG)² + (MP)²

⇒(PG)² = (9.6)² + (2.1)²

⇒(PG)² = 92.16 + 4.41

⇒(PG)² = 96.57

⇒PG = √96.57

⇒PG = 9.827

∴ we get

The straight-line distance between the parents' and grandparents' houses = 9.83 miles.

Answer: 9/4 or 2.25

Step-by-step explanation:?????