Find the solution(s) to the system of equations represented in the graph.

A. (0, 3) and (3, 0)
B. (0, 3) and (−3, 0)
C. (0, −3) and (3, 0)
D. (0, −3) and (−3, 0)

Answer:

below

Step-by-step explanation:

that is the solution above

The simplest form of the given expression is [tex]\frac{1}{(x+1)(x-2)}[/tex].

An algebraic expression (or) a variable expression is a combination of terms by the operations such as addition, subtraction, multiplication, division, etc.

Here, given expression;

 [tex]\frac{x+2}{4x^2+5x+1} X \frac{4x+1}{x^2-4}[/tex]

[tex]\frac{x+2}{4x^2+4x +x+1} X \frac{4x+1}{x^2-2^2}[/tex]

[tex]\frac{x+2}{4x(x+1)+1(x+1)} X \frac{4x+1}{(x+2)(x-2)}[/tex]

[tex]\frac{x+2}{(4x+1)(x+1)} X \frac{4x+1}{(x+2)(x-2)}[/tex]

[tex]\frac{1}{(x+1)(x-2)}[/tex]

Thus, the simplest form of the given expression is [tex]\frac{1}{(x+1)(x-2)}[/tex].

Learn more about Algebraic expression from:

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Answer:

XY (height) is approximately 20.8 feet

Step-by-step explanation:

let h = XY

tan60° = h/12

h = 12·tan60°

h = 20.78 ft

Answer:

The money was invested at an interest of 14.28% per year.

Step-by-step explanation:

To determine at what percent rate of compound interest per year will the compound interest on $ 343000 be $ 169000 in 3 years, the following calculation must be performed:

343,000 x (1 + X / 1) ^ 3x1 = 343000 + 169000

343,000 x 1 + X ^ 3 = 512,000

1 + X ^ 3 = 512,000 / 343,000

1 + X ^ 3 = 1.4927

1 + 0.14286 ^ 3 = 1.4927

1.4927 = 1.4927

X = 0.14286 x 100 = 14.28%

Therefore, the money was invested at an interest of 14.28% per year.

Answer:

6. Side Angle Side (SAS)

7.  Definition of congruence

Step-by-step explanation:

With the condition that ΔVWX and ΔTUX are equilateral, then the proof are stated below:

Statement                                                   Reason

1. ΔVWX is equilateral                            Given

2. ΔTUX is equilateral                            Given

3. VX ≅ WX                                             Definition of equilateral triangle

4. TX ≅ UX                                              Definition of equilateral triangle

5. <TXW ≅ <UXV                                    Vertical Angle Theorem

6. ΔTWX ≅ ΔUVX                                   Side Angle Side (SAS)

7. UV ≅TW                                               Definition of congruence

Answer:

x= 2

y= 7

z= 4

Step-by-step explanation:

Equation 1: x+y+z=13

Equation 2: x-z= -2

Equation 3: -2x+y=3

Add equation 2 and 1

(x+y+z)+(x-z)= 13 -2

2x+y= 11

Add this to equation 3

(-2x+y)+(2x+y)= 11+3

2y= 14

y= 7

Plug in y= 7 to equation 3

-2x+(7)= 3

-2x+7=3

-2x= -4

x= 2

Plug x=2 into equation 2

2-z= -2

4 = z

Answer:

[tex]y=3x-7[/tex]

Step-by-step explanation:

Hi there!

Linear equations are typically organized in slope-intercept form: [tex]y=mx+b[/tex] where m is the slope and b is the y-intercept (the value of y when the line crosses the y-axis)

1) Determine the slope (m)

[tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex] where the points given are [tex](x_1,y_1)[/tex] and [tex](x_2,y_2)[/tex]

Points (3,2) and (6,11)

[tex]=\frac{11-2}{6-3}\\=\frac{9}{3}\\= 3[/tex]

Therefore, the slope of the line is 3. Plug this into [tex]y=mx+b[/tex]:

[tex]y=3x+b[/tex]

2) Determine the y-intercept (b)

[tex]y=3x+b[/tex]

Plug in one of the given points and solve for b

[tex]2=3(3)+b\\2=9+b[/tex]

Subtract 9 from both sides

[tex]2-9=9+b-9\\-7=b[/tex]

Therefore, the y-intercept of the line is -7. Plug this back into [tex]y=3x+b[/tex]:

[tex]y=3x-7[/tex]

I hope this helps!

Answer:

Yes the answer is indeed 60%

the answer is 60% so you are correct

Answer:

5.12

Step-by-step explanation:

5.021+.099 is the problem

we can ignore the 5 for now. .021+.099= .120

now we bring back the 5

5.120=5.12

Step-by-step explanation:

i dont know i guess we'll never know

Answer:

[tex]x = 7 \: or \: x = - 7.[/tex]

Step-by-step explanation:

[tex] {x}^{2} - 49 = 0[/tex]

Then

[tex] {x}^{2} = 49 [/tex]

So

[tex]x = 7 \: or \: x = - 7.[/tex]

Answer:

x = -7 , 7

Step-by-step explanation:

a² - b² = (a + b)(a - b)

x² - 49 = 0

x² - 7² = 0

(x + 7)(x -7) = 0

x + 7 = 0         ; x - 7 = 0

x = -7             ; x = 7

Answer:

192

Step-by-step explanation:

16^2+b^2= 20^2

256+b^2=400

b^2=144

b= 12

height = 12

1/2bh= Area of a triangle

12*32=384

384/2= 192

Answer:

the value at which f(x)=0 are the zeros of the function f(x). The graph of such a function will crosses x-axis at that point and the point is (x,0).

Step-by-step explanation:

Answer:

D. -3,-2

Step-by-step explanation:

Let [tex]x^{2} +5x+6=0=(x+2)(x+3)\\[/tex], then  [tex]x+2=0[/tex] or [tex]x+3=0[/tex], thus [tex]x=-2[/tex] or [tex]x=-3[/tex]

Answer:

6.5

Step-by-step explanation:

Cos = Adjacent/Hypotenuse

For the angle with the measure of 70°

Adjacent = x

Hypotenuse =  19

Hence, cos 70 = x/19

multiply both sides by 19

cos(70) * 19 = 19cos(70)

x/19 * 19 = x

we're left with x = 19cos(70)

19cos(70) = 6.5 ( rounded to the nearest tenth )

x = 6.5

I hope this is help full to u

thank you

Answer:

Side-Side-Side (SSS) Congruence - if three sides of one triangle are congruent to three sides of  another triangle, then the triangles are congruent.

Side-Angle-Side (SAS) Congruence - If two sides and the included angle of one triangle are congruent to the corresponding parts of another triangle, the triangles are congruent.

Angle-Side-Angle (ASA) Congruence - If two angles and the included side of one triangle are congruent to the corresponding parts of another triangle, the triangles are congruent.

Angle-Angle-Side (AAS) Congruence - If two angles and the non-included side of one triangle are congruent to the corresponding parts of another triangle, the triangles are congruent.

u see which one fits

Answer:  SAS

Step-by-step explanation: because there are Two sides and the angle between them are congruent.

<2 and <6 -----> Neither

<1 and <4 ------> vertical

Hope it helps you...

Answer:

The second space (13 feet wide & 15 feet long) is the larger space.

Step-by-step explanation:

According to the question,

Thus, The Area Of Rectangle = Length x Width ⇒ 12 × 16 ⇔ 192 Feet² .

Thus, The Area Of Rectangle = Length x Width ⇒ 13 × 15 ⇔ 195 Feet² . Hence it is Clearly Shown here the The second space (13 feet wide & 15 feet long) is the larger space .

Answer:

The other exterior angles must be 145 degrees. There is only one answer because there cannot be 2 of 110 degree angles in a triangle, so the other two exterior angles must correspond to the 2 equal angles in the triangle.

Step-by-step explanation:

For an exterior angle, we know that an exterior angle added with its corresponding interior angle is equal to 180 degrees. Thus, 180 = 70 + i, or the interior angle. i is then 110 degrees.

An isosceles triangle has two equal angles. As a triangle can only be 180 degrees. we cannot have 2 of i, as doing so would be equal to 220 degrees. Therefore, for the other two interior angles, they must be equal. Representing o, their angles could be put into an equation of 110 + 2o = 180, so o = 35.

For the other exterior angles, their corresponding interior angles are equal to 35 each, so they must be 145 degrees. There is only one answer because there cannot be 2 of 110 degree angles in a triangle, so the other two exterior angles must correspond to the 2 equal angles in the triangle.

radii...................

Answer:

RADI

Step-by-step explanation:

Answer:

209.25 ft²

Step-by-step explanation:

2.7cm * 5 = 13.5 ft

3.1cm * 5 = 15.5 ft

Area

a = 13.5 * 15.5

a = 209.25 ft²

Answer:

8.37cm

Step-by-step explanation:

2.7cm×3.1cm=8.37cm

Area rectangle is length by width

Answer:

Below,

Step-by-step explanation:

a. cos O = adjacent side/hypotenuse

= 88.3/117

= 0.75470

O = 41 degrees.

b. sin O = opposite side/hypotenuse

= 2.4/3.8

= 0.63158

O = 39 degrees

Answer:

-3

Step-by-step explanation:

y1-y2/x1-x2 = slope

Plug in coordinates (-1,0) and (0,-3)

-3-0/0-(-1)

-3/1

-3

Answer:

-3

Step-by-step explanation:

Pick two points on the line

(-1,0) and (0,-3)

You can find the slope using the slope formula

m = ( y2-y1)/(x2-x1)

   = ( -3-0)/(0- -1)

    = (-3-0)/(0+1)

    = -3/1

    = -3

Answer:

40 L

Step-by-step explanation:

20% empty is the same as 80%full

.8f = .2f + 24

subtract .2f from both sides

.6f = 24

divide both sides by .6

f = 40

Answer:

First: [tex]y = \frac{4}{7} x + 2[/tex]    

Second: [tex]y = -\frac{1}{7} x + 2[/tex]

Third: [tex]y = x + 2[/tex]    

Fourth: [tex]y = \frac{1}{7} x + 2[/tex]    

Answer:

c is 3

d is 10

Step-by-step explanation:

see photo :)

Answer:

Hello answer:

c = 3

d = 10

Step-by-step explanation:

2 × c = 6 6 + 4 = 10

10 × 3 = 30 c × 2 = 6 30 + 6 = 36

Answer:

There is nothing below.

Step-by-step explanation:

Answer:

4400

Step-by-step explanation:

First take off your deductible

14000-2000

12000

Now find 20 % of this amount

12000*20%

12000 * .20

2400

You have to pay the deductible and the 20%

2000+2400

Answer:

[tex]8 - 5 = 3[/tex]

Step-by-step explanation:

Given

[tex]8 - 5 =[/tex]

Required

Solve

Step 1: Write as addition

Simply change the positions of -5 and (+)8

[tex]8 - 5 = -5 + 8[/tex]

Step 2: Add

[tex]8 - 5 = 3[/tex]