Please help its due today WILL GIVE BRAINLIEST :)
Lillian has a rectangular garden with an area of 3x² - 10x - 8 square feet. Find the expressions that would represent the length and width of the garden. Make sure you show all your work for full credit.

Answer:

(3, 5) and (-4, 12)

Step-by-step explanation:

To solve this system of equations, we'll use the substitution method.

Plug in the given y = x² - 4 into the other equation

x + x² - 4 = 8

Subtract 8 from both sides

x² + x - 4 = 8

         - 8    - 8

x² + x - 12 = 0

Factor out the equation

x² + x - 12 = (x + 4)(x - 3) = 0

For the equation to be 0, x will have to equal -4 and 3

Now plug in the new x's into one of the original equations

We'll use y = x² - 4

y = (-4)² - 4 = 16 - 4 = 12

y = 3² - 4 = 9 - 4 = 5

When x = -4, y = 12, so one of the answers is (-4, 12)

When x = 3, y - 5, so one of the answers is (3, 5)

Answer:

A. (3, 5) and (–4, 12)

Step-by-step explanation:

I took the Algebra exam

Answer:

B

Step-by-step explanation:

Use the Law of Cosines to find the measure of segment c:

[tex]c=\sqrt{a^2+b^2-2ab*cos(C)}\\\\c=\sqrt{12^2+13^2-2(12)(13)*cos(134)}\\\\c=\sqrt{313-312cos(134)}\\\\c=\sqrt{313-312(-.6946583705)}\\\\c=\sqrt{313-(-216.7334116)}\\\\c=\sqrt{313+216.7334116}\\\\c=\sqrt{529.7334116}\\[/tex]

c ≈ 23.01593821 km ≈ 23 km

Since c = 23 km, our only options are choices B and D. Now, let's find the measure of angle A to confirm. To do this we will use the Law of Sines:

[tex]\frac{sin(A)}{a} =\frac{sin(C)}{c} \\\\\frac{sin(A)}{12}=\frac{sin(134)}{23.01593821}\\\\sin(A)=12(\frac{sin(134)}{23.01593821})\\\\A=sin^{-1}[12(\frac{sin(134)}{23.01593821})]\\\\[/tex]

A ≈ 22.02726885° ≈ 22°

Since the measure of c = 23 km and the measure of angle A = 22°, the answer must be choice B.

9h

9(12)= 108 dollars

Answer:

last point

Step-by-step explanation:

because 2.25 is equal to 2.25 when you do 1.5 times 1.5

Answer:

the initial value would be 23,000

Step-by-step explanation:

because 20,000 + 15%

is 23,000

Answer:

y=1.5x

b is the y intercept but it is 0 so no need to add it. y is the result

Answer:

$29.92

Step-by-step explanation:

area = 16

16 x 1.87 = total cost

Answer:

also 75°

Step-by-step explanation:

the angles across each other at a crossing point of 2 lines must be equal.

so, 2 = 3.

and the angles at the crossing point with a parallel line are simply a "mirror" or rather a copy of the angles at the crossing point with the first line.

so, 2 = 3 = 6 = 7

and 1 = 4 = 5 = 8

The value of the measure of 7 is,

⇒ ∠7 = 75°

An angle is a combination of two rays (half-lines) with a common endpoint. The latter is known as the vertex of the angle and the rays as the sides, sometimes as the legs and sometimes the arms of the angle.

Given that;

Two parallel lines are cut by a transversal.

And, the measure of 2 is 75°.

Here, Angle 2 and 3 are vertically opposite angle.

Hence, angle 2 and 3 are equal.

And, Angle 3 and 7 are alternate angle.

Hence, We get;

⇒ ∠3 = ∠7

So, ∠7 = 180°

Thus, The value of the measure of 7 is,

⇒ ∠7 = 75°

Learn more about the angle visit:;

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#SPJ5

The weight of all 40 apples in the second box is : 144 x 40 = 5760 (g)

The total weight of all 90 apples in both boxes : 5760 + 6300 = 12060 (g)

To find the mean weight of an apple in the big container, we take the total weight of both boxes (12060) divided by the total amount of quantities (apples in both boxes)

So, the mean weight of an apple in the big container is 12060 : 90 = 134(g)

Answer:

a = 16

b = 10

c = 19

d = 3

Step-by-step explanation:

For a, we know that 60 is 12+a+a+a, and to find what a is, we subtract 12 from 60, so that 48=3a, so 48 is a times 3. dividing 48 by 3 gives a=16

For b, we know that 60 is 4(b+5), dividing both sides by 4, 15=b+5. Subtracting 5 from both sides, b=10

For c, we know that a+b+c=3(b+5), or 16+10+c=45, subtracting 26 from each side, c=19

For d, we know that 3c+d=60, or (19*3)+d=60. simplifying, 57+d=60. subtraction 57 from each side gives d=3

Answer:

7.5

Step-by-step explanation:

7.5 is the coefficient of x

Answer:

1134.08 m²

Step-by-step explanation:

To calculate the area of grass, subtract the area of the polygon from the area of the large green rectangle.

area of a triangle = 1/2 x base x height

area of a rectangle = width x length

area of large (green) rectangle = 40 x 36 = 1440 m²

area of regular 8-sided polygon = 4 triangles + 2 small rectangles + large rectangle

= 4(1/2 x 5.6 x 5.6) + 2(8 x 5.6) + (8 x 19.2) = 305.92 m²

Therefore, area of grass = 1440 - 305.92 = 1134.08 m²

Answer:

19.2

Step-by-step explanation:

its 19.2 ik because if you atdd 19.2 to 0 its 19.2

Answer:

-0.405

Step-by-step explanation:

-50÷15= -10/3

keep doing it and 5th term will be -.405

Answer:

A

Step-by-step explanation:

4x-6

Answer: B

Step-by-step explanation:

The answer is B because of the equal sign in the middle meaning that both the sin and cos are equal

Answer:

Attached

Step-by-step explanation:

Percentage is a way to describe a part of a whole. The equation can be used to find the regular price of the helmet,h is 0.7(h+85)=74.90.

A percentage is a way to describe a part of a whole. such as the fraction 1/4 can be described as 0.25 which is equal to 25%.

To convert a fraction to a percentage, convert the fraction to decimal form and then multiply by 100 with the '%' symbol.

As we know that all of the items in the bicycle shop are on sale for 30% off, therefore, the cost of each item will be 70% of the real cost. Now, the total amount was spent is $74.90. Thus, if we represent the helmet by h, and bicycle by b, then

[tex]70\%Helmet + 70\%Bicycle = \$74.90\\\\0.70 h + 0.70B = 74.90[/tex]

Taking 0.7 as the common,

[tex]0.7(h+B)=74.90[/tex]

As we know that the regular price of the bicycle(B) is $85, therefore, the equation can be written as,

[tex]0.7(h+85)=74.90[/tex]

Hence, the equation can be used to find the regular price of the helmet,h is 0.7(h+85)=74.90.

Learn more about Percentage:

https://brainly.com/question/6972121

Answer:

Percentage is a way to describe a part of a whole. The equation can be used to find the regular price of the helmet,h is 0.7(h+85)=74.90.

What is Percentage?

A percentage is a way to describe a part of a whole. such as the fraction 1/4 can be described as 0.25 which is equal to 25%.

To convert a fraction to a percentage, convert the fraction to decimal form and then multiply by 100 with the '%' symbol.

As we know that all of the items in the bicycle shop are on sale for 30% off, therefore, the cost of each item will be 70% of the real cost. Now, the total amount was spent is $74.90. Thus, if we represent the helmet by h, and bicycle by b, then

Taking 0.7 as the common,

As we know that the regular price of the bicycle(B) is $85, therefore, the equation can be written as,

Hence, the equation can be used to find the regular price of the helmet, h is 0.7(h+85)=74.90.

Answer:

You want to start by making 2 equations, first to show the sum and another to show the relationship between the two.

x + y = 32

3y = x

Now you want to substitute what you know:

y + (3y) = 32

*now solve

4y = 32

y = 32/4

y = 8

And now you want to plug in what you know into the first equation to solve for x

x + y = 32

x + 8 = 32

x = 32 - 8

x = 24

Now you know:

x = 24

y = 8

There are 24 crocus bulbs and 8 tulip bulbs

Step-by-step explanation:

IM SAMRT

Answer:

crocus bulbs-24

Tulip bulbs-8

Step-by-step explanation:

Total is 32 bulbs so I found a number I can multiply by 3 which is 8 and it gave me 24 so if I add 24+8= I will get 32.

Answer:

if you meant 15 divided by 37 it is 2 R 7.

15 goes into 37 2 times, so write a 2.

30 - 37 = 7.

notify me if you meant anything else!

hope it helps!

Answer:

42 yd²

Step-by-step explanation:

Area of a rectangle = width x length

lateral surface area is the area of the sides only

So the difference between the total surface area and the lateral surface area would be the surface area of the ceiling and floor (top and bottom).

area of floor and ceiling = 2(3.5 x 6) = 42 yd²

Or, we can calculate the total surface area and lateral surface area, then find the difference:

total surface area = 2(3.5 x 4.2) + 2(4.2 x 6) + 2(3.5 x 6) = 121.8 yd²

lateral surface area = 2(3.5 x 4.2) + 2(4.2 x 6) = 79.8 yd²

difference = 121.8 - 79.8 = 42 yd²

Answer:

C

Step-by-step explanation:

sorry if i might get wrong...

Answer:

How do you find an equation of a line containing the point (3, 2), and parallel to the line y - 2 = (2/3)x? First, we must find the slope of the equation in the problem by transforming the equation to the slope-intercept form. The slope-intercept form of a linear equation is: y = mx + b Where m is the slope and b is the y-intercept value.

Step-by-step explanation:

Answer:

Step-by-step explanation:

According to triangle inequality, any side is less than the sum of the other two:

We see contradiction with above when values substituted:

It means we can't form a triangle with given sides

Answer:

a. 6x^2+x+0.7

b. 5x^2-2x-2

Step-by-step explanation:

a. 6x^2+2x-3-x+4.7-1

Simplest form is when all the terms are ordered by power and like terms are combined. I'm assuming the first term is 6x^2 because 6x2 seems a bit odd to me. When you combine like terms and reorder everything, you get

6x^2+x+0.7

b. 6x^2+2x-3-x^2-4x+1

The first thing I did was distribute the negative. Next, you just repeat the same steps. Combine like terms and reorder. The final result is:

5x^2-2x-2

Answer:

[tex]53.13\°[/tex]

Step-by-step explanation:

Since the ratio of XD and XB is 3:2, call the two segments 3a and 2a.

Since [tex]3a +2a = 20[/tex] it's easy to see that a = 4, and you can look just at one of the trangles ABX or BDX, noticing that angle ABC is twice the angles ABX (or DBX). At that point with a calculator you calculate the measure of either, which is [tex]tan^-^1 \frac6{12} \approx 26.56\°[/tex], and double the angle will give the measure you need, which is [tex]53.13\°[/tex]

Answer:

3rd one is the correct one

Step-by-step explanation:

yupyup

Answer:

T(40) = -478

Step-by-step explanation:

The first term is -10, that means a = -10

The difference between to first and second term is -12.

Therefore, d = -12.

We may set up the A.S. equation now:

T(n) = a + (n-1)d = -10 + (n-1)(-12)

Now plug in n = 40:

T(40) = -10 + (40-1)(-12) = -478