Triangle D E F is shown. Use ΔDEF to complete the statements. Angle E is the included angle between sides . The included angle between sides FE and DF is angle

Given:

The graph of system of inequalities.

To find:

The system of inequalities.

Solution:

From the given graph it is clear that the shaded region is lies below the line y=10 and the boundary line y=10 is a solid line. So, the sign of inequality must be [tex]\leq[/tex].

[tex]y\leq 10[/tex].

The shaded region lies on the right side of the y-axis. So, [tex]x\geq 0[/tex].

Another boundary line passes through the point (0,1) and (1,2). So, the equation of the line is:

[tex]y-y_1=\dfrac{y_2-y_1}{x_2-x_1}(x-x_1)[/tex]

[tex]y-1=\dfrac{2-1}{1-0}(x-0)[/tex]

[tex]y=1(x)+1[/tex]

[tex]y=x+1[/tex]

The boundary line [tex]y=x+1[/tex] is a dotted line and the shaded region lies above the boundary line, so the sign of inequality must be [tex]>[/tex].

[tex]y> x+1[/tex]

So, the required system of inequalities is:

[tex]y> x+1[/tex]

[tex]y\leq 10[/tex]

[tex]x\geq 0[/tex]

Therefore, the correct option is B.

Answer:

Step by step  explanation

a

Answer:

g(-2.3) = 3.6

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Algebra I

Step-by-step explanation:

Step 1: Define

Identify

g(x) = 2|x| - 1

Step 2: Evaluate

Answer:

A). slope = -1/12         y-intercept = 3/2

Step-by-step explanation:

y = -1/12x + b

2 = -1/12(-6) + b

2 = 1/2 + b

3/2 = b

y = -1/12x + 3/2

Answer:

d)

Step-by-step explanation:

We will get the new price by subtracting the reduction price from the original price.

Original price -  reduced price = New   price

p - 15 = 49

Answer:

Option D

Step-by-step explanation:

p - 15 = 49

Option D is correct answer

Answer:

whats the question sir

Step-by-step explanation:

can you show me it like type it for me

Given:

S.P. = 315

Loss percent = 10%

To find:

The C.P.

Solution:

Let x be the C.P.

We have,

S.P. = 315

Loss percent = 10%

[tex]S.P.=C.P.-10\%\text{ of }C.P[/tex]

[tex]315=x-\dfrac{10}{100}x[/tex]

[tex]315=x-0.1x[/tex]

[tex]315=0.9x[/tex]

Divide both sides by 0.9.

[tex]\dfrac{315}{0.9}=x[/tex]

[tex]350=x[/tex]

Therefore, the cost price (C.P.) is 350.

Answer:

408 cm²

Step-by-step explanation:

the total SA = (2×½×6×8) + (10+8+6)×15

= 48 + 360

= 408 cm²

The total surface area of the prism that has a triangular base of 10 cm, 8 cm, and 6cm and it is 15 cm long is 408 cm².

In order to create the triangle base, the three triangular sides slant upward. A pyramid with a triangular base is also known as a tetrahedron since it is made up of four triangles.

The shape of a pyramid's base is often used to describe it. A hexagonal pyramid has a base that is a hexagon, as does a triangular pyramid, for example. Pyramids with triangular bases are called triangular pyramids.

A triangle's area is equal to half the sum of its base and height, according to the formula for triangular bases. Whether it be a scalene triangle, an isosceles triangle, or an equilateral triangle, this formula can be used to determine their properties.

The total surface area of the prism calculations are,

b = 6 cm, h = 8 cm, l = 10 cm, and L = 15 cm

[tex]Total\ Surface\ Area = (2\times \frac{1}{2} \times b \times h) + (l+h+b) \times \\ L=(2\times \frac{1}{2} \times 6 \times 8) + (10+8+6) \times 15\\= 48 + 360\\= 408 cm^2[/tex]

Therefore, total surface area of the prism that has a triangular base of 10 cm, 8 cm, and 6cm and it is 15 cm long is 408 cm².

Learn more about triangular base from here:

https://brainly.com/question/12434035

#SPJ2

Answer:

y = - 7

Step-by-step explanation:

The equation of a horizontal line parallel to the x- axis is

y = c

where c is the value of the y- coordinates the line passes through.

The line passes through all points with a y- coordinate of - 7, then

y = - 7 ← equation of line

[tex]\bold{{Answer:}}[/tex]

Tropical Rain Forest

1.B

2.A

3.Di ko alam

Coral Reefs

1.C

2.E

3.I

Mangrove Swamps

1.D

2.H

3.G

pa tama nalang kung mali ah

tao lang nag kakamali rin hehe

[tex]\bold\blue{{Answer:}}[/tex]

Tropical Rain Forest

1.B

2.A

3.F

Coral Reefs

1.C

2.E

3.I

Mangrove Swamps

1.D

2.H

3.G

Taga Pilipinas ka din ba o hindi?

Answer:

x = 12.5

Step-by-step explanation:

Explanation in progress ;-)

[tex]\tt\displaystyle\ P(1+r)!= r*(r-1) *(r-2)*(r-3) ..... *1[/tex]

Answer:

Step-by-step explanation:

Acres of corn harvested : time taken = 8 3/4 : 5/6

How much corn can she collect in a hour. ?

Let

x = Acres of corn harvested

Acres of corn harvested : time taken = x : 1

8 3/4 : 5/6 = x : 1

35/4 : 5/6 = x : 1

35/4 ÷ 5/6 = x/1

35/4 × 6/5 = x/1

35*6/4*5 = x/1

210/20 = x/1

210 * 1 = 20 * x

210 = 20x

x = 210/20

= 10 1/2 acres

x = Acres of corn harvested = 10 1/2 acres

Answer:

6a = 6 * a

2a * b = 2ab

Step-by-step explanation:

2a * 2b = 4ab not 2ab

6 * a is the same as 6a

5a = 5 * a not 5 + a

3ab has different variables then 3c therefore the expression cannot be true

2ab is the same as 2a * b

Answer:

I guess that we want to find the equation for each case.

First, let's define the translations:

Horizontal translation.

For a function f(x), an horizontal translation of N units is written as:

g(x) = f(x + N)

if N > 0, the translation is to the left

if N < 0, the translation is to the right.

Vertical translation:

For a function f(x), a vertical translation of N units is written as:

g(x) = f(x) + N

if N > 0, the translation is upwards

if N < 0, the translation is downwards.

Now that we know these, we can find the equations for each case:

1. the graph of y = x² is moved five units upward

the graph is given by a vertical translation of 5 units upward.

y = x^2 + 5

2 the graph of y = 5x² is moved six units to the left

this is:

y = 5*(x + 6)^2

3: the graph of y = -2x² is moved seven units downward

this is:

y = -2x^2 - 7

4: the graph of y = -x² is moved two units to the left and four units downward

now we have two translations, first 4 units to the left and then 4 units downwards, this gives:

y = -(x + 4)^2 - 4

5: the graph of y = -3x² is moved two units to the right

Remember that to move the graph to the right, we need to have N negative, then:

y = -3(x - 2)^2

Answer:

place it 2 3 4 5 6 7 8 9 10 1 then is come 18

Answer:

2 3 4 5 6 7 8 9 10 1 then come 18

[tex]\displaystyle\ 2x^2+7x+5\sqrt{2} =0 \\\\\boxed{D=7^2-4\cdot2\cdot 5\sqrt{2} =49-40\sqrt{2} }[/tex]

Answer of this question

Answer:

f(x) = (x + 4)^2 - 5

Step-by-step explanation:

Parent function: f(x) = x^2

To show this in a way that may look more familiar, f(x) = 1(x - 0)^2 + 0

Vertex form: f(x) = a(x - h)^2 + k

We know a = 1, because the slope is the same as the parent function.

Vertex: (h,k)

We can see that the vertex of the graph is (-4, -5)

So h = -4 and k = -5

Now all we need to do is plug the variables into our equation.

f(x) = a(x - h)^2 + k

f(x) = 1(x + 4)^2 - 5

f(x) = (x + 4)^2 - 5

[tex]\implies {\blue {\boxed {\boxed {\purple {\sf { \: (r - 7)(r - 3) }}}}}}[/tex]

[tex]\sf \bf {\boxed {\mathbb {STEP-BY-STEP\:\:EXPLANATION:}}}[/tex]

[tex] {r}^{2} - 10r + 21[/tex]

[tex] = {r}^{2} - 7r - 3r + 21[/tex]

Taking [tex]r[/tex] as common from first two terms and [tex]3[/tex] from last two terms, we have

[tex] = r(r - 7) - 3(r - 7)[/tex]

Taking the factor [tex](x-7)[/tex] as common,

[tex] = (r - 7)(r - 3)[/tex]

[tex]\bold{ \green{ \star{ \orange{Mystique35}}}}⋆[/tex]

Step-by-step explanation:

Your Answer with

Explanation is given in the attachment

Hope it is helpful to you

✌️✌️✌️✌️✌️✌️✌️

[tex]\red{\frak{Given}}\Bigg\{ \sf \dfrac{x - 1}{ {x}^{2} - 3x + 2} + \dfrac{x - 2}{ {x}^{2} - 5x + 6 } + \dfrac{x - 5}{ {x}^{2} - 8x + 15 } [/tex]

[tex]\rule{200}4[/tex]

[tex]\sf\longrightarrow \small \dfrac{x - 1}{ {x}^{2} - 3x + 2} + \dfrac{x - 2}{ {x}^{2} - 5x + 6 } + \dfrac{x - 5}{ {x}^{2} - 8x + 15 } \\\\\\\sf\longrightarrow \small \dfrac{ x-1}{x^2-x -2x +2} +\dfrac{ x-2}{x^2-3x-2x+6} +\dfrac{ x -5}{x^2-5x -3x + 15 } \\\\\\\sf\longrightarrow\small \dfrac{ x -1}{ x ( x - 1) -2(x-1) } +\dfrac{ x-2}{x ( x -3) -2( x -3)} +\dfrac{ x -5}{ x(x-5) -3( x -5) } \\\\\\\sf\longrightarrow \small \dfrac{ x -1}{ ( x-2) (x-1) } +\dfrac{ x-2}{( x -2)(x-3) } +\dfrac{ x -5}{ (x-3)(x-5) } \\\\\\\sf\longrightarrow\small \dfrac{ 1}{ x-2} +\dfrac{ 1}{ x -3} +\dfrac{1}{ x -3} \\\\\\\sf\longrightarrow \small \dfrac{1}{x-2} +\dfrac{2}{x-3} \\\\\\\sf\longrightarrow \small \dfrac{ x-3 +2(x-2)}{ ( x -3)(x-2) } \\\\\\\sf\longrightarrow \small \dfrac{ x - 3 +2x -4 }{ (x-3)(x-2) } \\\\\\\sf\longrightarrow \underset{\blue{\sf Required \ Answer }}{\underbrace{\boxed{\pink{\frak{ \dfrac{ 3x -7}{ ( x -2)(x-3) } }}}}}[/tex]

[tex]\rule{200}4[/tex]

Answer:

Your solution ..................

Answer:

D) 144π sq. units

Step-by-step explanation:

The formula for finding the surface area of a sphere is 4π

Substitute 6 in for r.  4π = 144π

Answer:

144π sq. units

Step-by-step explanation:

The formula to determine the surface area of a sphere is: 4πr^2

But there’s no digit of pi given. Therefore we will use the formula but ignoring pi:

4πr^2

= 4r^2

= 4(6^2)

= 4(36)

= 144

Surface area is measured in square units.

Therefore the answer is 144π. The answer will be the true answer surface area once we know what π to use. For now, π will be just a variable next to 144 and will be later multiplied to it.

I hope you understand this! Hope I helped!

Answer:

64 lb

Step-by-step explanation:

you can solve this problem by using a proportion, then cross multiply and divide. (better explained in yt videos).

Answer:

cognitive ability

Step-by-step explanation:

Answer: The answer is D. 240 grams

Step-by-step explanation:

1. Find the volume.

2cm×3cm×5cm=30 cubic centimeters

2.  Find the volume of the other box.

4cm×9cm×5cm=180 cubic centimeters.

3. Divide. 180÷30=6

4.  6 times the amount it can hold, 40=240 grams of clay.

Hope that helped!

Answer:

Step-by-step explanation:

we are told that the box is  2 cm high, 3 cm wide 5 cm long  and holds 40 grams of clay

so 2*3*5 = 30 [tex]cm^{3}[/tex]

so the 30 cubic centimeter volume holds 40 grams  ( it would have been nice if they had let the box hold 30 grams but,  no  :(

40/30 = 1.333333  or 1 and [tex]\frac{1}{3}[/tex]   of a gram  okay, sooooo now we know each cubic centimeter holds that much clay,  now let's solve for how many cubic centimeters are in the bigger box, you can try to solve it 1st if you'd like to practice,  below I solve it

twice the height  so  2(2)=4 high

3 times the width , so 3(3) = 9 wide

same length,  so  5 long

4*9*5 = 180

180*1.33333333333 = 240 grams of clay in 2nd bigger box  :)

I'm sure there is a funny box joke in there some where :DDDD

do you get the math?  :)

Step-by-step explanation:

1/3*12=1/4

1/4=1/4

=1/4÷1/4

=0 answer

dammn im not sure sorry

Answer:

Step-by-step explanation:

D OR F means add the two grade members together. You get 5

5 / 35 = 1/7

P(1/7) = 0.1428 Rounded to the nearest 1/100th = 0.14

Answer:

Step-by-step explanation:

1.

7 > 0.7 > 0.07 > 0.007

2.

5h - 15hg

taking 5h common

5h (1 - 3g)

3.

5(2x- 1) = 35

dividing both sides by 5

2x - 1 = 7

2x = 7 + 1

2x = 8

x = 4

4.

if x is an odd number x + 2 will also be odd.

for example

11 is an odd number

on adding 2 we get 13 which is also an odd number.