Which equation represents a line that is perpendicular to the line represented by

4x + y = 7 and passes through the point (1, 8)?

Question 2 options:

y = 14x + 334

y = 4x + 4

y = 14x + 314

y= −4x + 12

Answer:

x = -10

Step-by-step explanation:

Answer:

x = -10

Step-by-step explanation:

Hope this helps!

Have a nice day <3

9514 1404 393

Answer:

  A. (-√2, 3+(4√2)/3), (√2, 3-(4√2)/3)

Step-by-step explanation:

The tangents are horizontal where the derivative is zero. The derivative of the given function is ...

  y' = x² -2

This is zero when ...

  0 = x² -2

  2 = x²

  ±√2 = x . . . . x-values where the derivative is zero

__

The corresponding y-values are ...

  y = (1/3x² -2)x +3

  y = (1/3(2) -2)(±√2) +3 = 3 ∓ (4√2)/3

The turning points are (-√2, 3+(4√2)/3) and (√2, 3-(4√2)/3).

Answer:

it 5

Step-by-step explanation:

15-10= 5 so r=5

Answer:

The value of r will be 5.

Step-by-step explanation:

15=r+10

15-10=r

5=r

(-35-42-63)/7= (-140)/7=-20

Answer: What do u need help with?

Step-by-step explanation:

Answer:

x

Step-by-step explanation:

x/y / 1/y =

x / 1 x y / y =

x / 1 x 1 =

x

Hope that helps!

-Sabrina

If a triangular and rectangular fence is put around the dog pen and fill it with gravel. The cost of fence is $1.50 per foot, and cost of one bad of gravel is $3.50. The total amount spend is $218.5

"Rectangle is a plane figure with four straight sides and four right angles, especially one with unequal adjacent sides, in contrast to a square."

"A triangle is a polygon with three edges and three vertices."

The given figure contains a rectangle and a triangle.

Length of rectangle = 10 ft

Breadth of rectangle = 8 ft

Area of rectangle = length × breadth

Area of rectangle = 10 × 8 = 80 ft.

Base of triangle = 8 ft.

Height of triangle = 3 ft.

Area of triangle = [tex]\frac{1}{2}[/tex]× base × height

Area of triangle = [tex]\frac{1}{2}[/tex]×8×3 = 12 ft.

Total area of fence = Area of rectangle + Area of triangle

Total area of fence = 80 + 12 = 92 ft.

Cost of one foot of fence = $1.50

Cost of 92 foot of fence = $1.50 × 92

Cost of 92 foot of fence = $138

4 square feet is covered by = 1 bag of gravel

1 square feet is covered by = [tex]\frac{1}{4}[/tex] bag of gravel

92 square feet is covered by = [tex]\frac{1}{4}[/tex]×92 = 23 bags of gravel

Cost of 1 bag of gravel = $3.50

Cost of 23 bags of gravel = $3.50 × 23 = $80.5

Total amount spend = $138 + $80.5 = $218.5

Hence, total amount spend is $218.5

To learn more about rectangle and triangle here

https://brainly.com/question/8958722

#SPJ2

Answer:

5/12 I think?? Hope this helps!

Answer:

           h ≤ -12/5

Step-by-step explanation:

Reformatting the input :

Changes made to your input should not affect the solution:

(1): "8.4" was replaced by "(84/10)".

Rearrange:

Rearrange the equation by subtracting what is to the right of the less equal sign from both sides of the inequality :

                    h-6-(-(84/10))≤0

Step by step solution :

STEP

1

:

           42

Simplify   ——

           5

Equation at the end of step

1

:

                  42

 (h - 6) -  (0 -  ——)  ≤ 0

                  5

STEP

2

:

Rewriting the whole as an Equivalent Fraction

2.1   Subtracting a fraction from a whole

Rewrite the whole as a fraction using  5  as the denominator :

             h - 6     (h - 6) • 5

    h - 6 =  —————  =  ———————————

               1            5    

Equivalent fraction : The fraction thus generated looks different but has the same value as the whole

Common denominator : The equivalent fraction and the other fraction involved in the calculation share the same denominator

Adding fractions that have a common denominator :

2.2       Adding up the two equivalent fractions

Add the two equivalent fractions which now have a common denominator

Combine the numerators together, put the sum or difference over the common denominator then reduce to lowest terms if possible:

(h-6) • 5 - (-42)     5h + 12

—————————————————  =  ———————

        5                5  

Equation at the end of step

2

:

 5h + 12

 ———————  ≤ 0

    5  

STEP

3

:

3.1    Multiply both sides by  5

3.2    Divide both sides by  5  

     h+(12/5)  ≤ 0

Solve Basic Inequality :

3.3      Subtract  12/5  from both sides

           h ≤ -12/5

Inequality Plot :

3.4      Inequality plot for

        h  + 2.400  ≤  0

The value of h is less than or equal to -2.4.

Mathematical expressions with inequalities are those in which the two sides are not equal. Contrary to equations, we compare two values in inequality. Less than (or less than or equal to), greater than (or greater than or equal to), or not equal to signs are used in place of the equal sign.

Given:

h−6 ≤−8.4

Now, add both side 6

h−6 + 6 ≤−8.4 + 6

h  ≤−2.4

Hence, the value of h is less than or equal to -2.4

Learn more about inequality here:

https://brainly.com/question/28823603

#SPJ2

Answer:

x = 138° because they are alternate interior angles. Alternate interior angles are congruent.

Step-by-step explanation:

Answer:

mean=17, median=12

Step-by-step explanation:

Mean=36+18+12+10+9=85÷5

=17

Median=9+10+12+18+36

=12

Answer:

A. 0.5J

Step-by-step explanation:

[tex]K. E._{(cart)} = \frac{1}{2} m {v}^{2} \\ \\K. E._{(cart)} = \frac{1}{2} \times 4 \times (0.5)^{2} \\ \\ K. E._{(cart)} = 2 \times 0.25 \\ \\ K. E._{(cart)} = 0.5 \: J[/tex]

The kinetic energy of a 4 kg cart pushed at a rate of 0.5 m/s is 0.5 J.

Kinetic energy = 1 /2 mv²

where

m = mass

v = velocity

Therefore,

m = 4 kg

v = 0.5

Kinetic energy = 1 / 2 × 4 × 0.5²

kinetic energy = 1 / 2 × 4 × 0.25

kinetic energy = 1 / 2 × 1

kinetic energy =  1 /2  = 0.5 j

learn more: https://brainly.com/question/13939099?referrer=searchResults

Answer:

B is the answer

Step-by-step explanation:

Since there is already a 90 degree angle in the right triangle, the other two angles must add up to 90.

[tex]3x + 6 + 2x - 1 = 90[/tex]

[tex]5x + 5 = 90[/tex]

[tex]5x = 85[/tex]

[tex]x = 17[/tex]

Plug 17 into both to find the smaller angle

[tex]3(17) + 6 = 57[/tex]

[tex]2(17) - 1 = 33[/tex]

[tex]33 < 57[/tex]

So 33 is the answer or B

Answer:

Factoring

Step-by-step explanation:

When we are solving a quadratic equation by the factorization method, each factor is set as being equal to zero.

The solution of each bracket of factors gives the root of the quadratic equation.

For example;

x2 + 16 = 10x

We now have;

x2 - 10x + 16  = 0

x2 - 8x - 2x + 16 = 0

x(x - 8) -2(x - 8) = 0

(x-2) (x-8) = 0

(x-2) = 0

Then x = 2

Or

(x-8) = 0

x = 8

Hence;

x = 2 or x= 8

Answer:

C

Step-by-step explanation:

The area (A) of a triangle is calculated as

A = [tex]\frac{1}{2}[/tex] bh ( b is the base and h the perpendicular height )

Here b = 14 and h = 8 , then

A = [tex]\frac{1}{2}[/tex] × 14 × 8 = 7 × 8 = 56 in² → C

Answer:

"An expression that represents repeated multiplication of the same factor is called a power. The number 5 is called the base, and the number 2 is called the exponent. The exponent corresponds to the number of times the base is used as a factor." -wwwmathplanet.com

Answer:

an expression tells hiw many times is base used

Answer:

Step-by-step explanation:

10+10=20

8+8 = 16

36 is perimeter of the rectangle    

diameter of half circle is 8

formula for circumference of a circle is r π  = 8 x 3.14

8 x 3.14 = 25.12 but your not done yet its a half circle so divide by 2

25.12/2 = 12.56

12.56 + 36 = 48.56 is final answer

give me brainliest

Answer:

Step-by-step explanation:

Answer: £137

Step-by-step explanation:

Since Sean sold both items for £1,500 getting £1,300 just for the laptop, the slave price of the printer will be:

= £1500 - £1300

= £200

Since we are informed that Sean made a 46% profit on the cost of the printer, the cost of the printer goes thus:

= £200 /(1 + Profit percent)

= £200 / (1 + 46%)

= £200 / 1.46

= £136.99

= £137 approximately

The gradient is the slope.

Slope is the change in y over the change in x.

3 = (21-6) / (d-4)

Simplify:

3 = 15/(d-4)

(D-4) = 15/3

D-4 = 5

Add 4 to both sides :

D = 9

Answer:

A

Step-by-step explanation:

Hello There!

First thing we notice is that the y intercept is at (3,0) meaning that they have some sort of fee that has a charge of 3 dollars (represented by the 3)

Because the fee is 3 dollars we can immediately eliminate answers B and C

Now we want to find the charge for each bag of Potpourri (this can be represented by the slope)

Once again we want to choose two points on the line and plug it in into the slope formula

the points are optional but i have chosen the points (1,4.5) and (2,6)

*plug it into the slope formula*

[tex]slope=\frac{6-4.5}{2-1} \\6-4.5=1.5\\2-1=1\\slope =\frac{1.5}{1} or1.5[/tex]

so we can conclude that the charge per bag of potpourri is $1.50 leading us to answer choice A  

1478 cubic feet

First, calculate volume of the shed, then minus that by the volume of the cubes...

Volume(shed) = 12*12*12 = 1728

Volume(cube) = 2.5*2.5*2.5 = 15.625

1728 - 15.625(16) = 1478 cubic feet

Answer:there is no possiblity

Step-by-step explanation:

Step-by-step explanation:

10²+6²

100+36=136

square root of 136

Answer:

15%

Step-by-step explanation:

1335-1200=135

9 months=9/12

135=1200 x r x 9/12

135=900r

divide each by 900

135/900       900r/900

0.15=r

0.15=15%

Answer:

10

Step-by-step explanation:

Answer:

(this is easy)

n x 3 = 48

48/3 = n

n= 16

Hannah is 16 years old.

Step-by-step explanation:

Answer:

this should be right 103.075

Step-by-step explanation:

Answer:

-5

Step-by-step explanation: