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trasher [3.6K]
3 years ago
15

For the following inequality, indicate whether the boundary line should be dashed or solid.

Mathematics
2 answers:
blondinia [14]3 years ago
7 0
So the problem ask to determine if the said inequality indicates where its boundary line should be dashed or solid but first you must consider that the solid should be used if the line is part of the solution and the dashed designates that the line is not part of the solution. Base on that, the answer would be SOLID. I hope you are satisfied with my answer 
Fudgin [204]3 years ago
7 0
Hey! a dotted line is used for < and > while a solid one is used for ≤ and ≥
So in this case its... Solid :D
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If x = 1 is a common root of ax² +ax + 2 = 0 and x² + x + b = 0 , then ab =
vodka [1.7K]

Answer:

ab = 2

Step-by-step explanation:

Given equations

ax² +ax + 2 = 0

x² + x + b = 0

root of both the equation

x= 1

then we can plug in x = 1 in both the equation

ax² +ax + 2 = 0                        x² + x + b = 0

a*1² +a*1 + 2 = 0                        1² + 1 + b = 0

a +a + 2 = 0                                 1 + 1 + b = 0

2a + 2 = 0                                    2 + b = 0

2a = -  2                                         b = -2

a = -2/2 = -1

Thus,

a = -1

b = -2

a*b = -1*-2 = 2

ab = 2

6 0
3 years ago
What is the surface area of the prism?
Sever21 [200]

Answer:

Question 3: 582 ft²

Question 4: 348 in²

Step-by-step Explanation:

Question 3:

Consider the solid shape given as being consisting of two rectangular prism. With careful examination, you'd observe that the offer one beneath has dimensions, l, w, h, as 15, 4, 9

The second one has l, w, h, as 6, 4, 6

Surface area of the bigger rectangular prism = total surface area - area of the surface that is joined to the smaller rectangular prism.

Area of the face joined to the smaller rectangular prism = 4*6 = 24 ft²

Surface area of the bigger rectangular prism = 2(wl + hl + hw)  - 24

2(4*15 + 9*15 + 9*4)  - 24

462  - 24

Surface area of the bigger rectangular prism = 438 ft²

Surface area of the smaller rectangular prism = total surface area of rectangular prism - area of the surface that is joined to the bigger rectangular prism.

= 2(wl + hl + hw)  - 24

= 2(4*6 + 6*6 + 6*4)  - 24

= 168 - 24 = 144 ft^2

<em><u>Surface area of the solid = 438 + 144 = 582 ft²</u></em>

Question 4:

Surface area of the triangular prism is given as: 2(B.A) + P*L

Where,

B.A = area of 1 triangular base = ½*height of the triangle*base of the traingle

B.A = ½*6*16 = 3*16 = 48 in²

P = perimeter of 1 triangular base = sum of all sides of the triangle.

P = 16+10+10 = 36 in

L = length or height of prism =

Plug in the values to find surface area of the prism

Surface area = 2(B.A) + P*L

= 2(48) + 36*7 = 96 + 252 = 348 in²

<em><u>Surface area of prism = 348 in²</u></em>

4 0
3 years ago
HELP WORTH 50 POINTS ILL GIVE U BRAINLESS IF UR RIGHT
eduard

Answer:

3.3*10^{-3}

Just like last time, you can convert them to their decimal forms, subtract, and convert back!

Hope this helps!

Brainliest please!

4 0
2 years ago
Read 2 more answers
Aiden and gia went to a clothing store where all the items had a 7% sales tax added to their cost. before the tax was added aide
pshichka [43]

Answer:

a. $34.24

b. $33

Step-by-step explanation:

Hope this helps

5 0
3 years ago
Read 2 more answers
Please help and fast
Oksana_A [137]

Answer:

216 in squared

Step-by-step explanation:

using the formula, a cube has six sides so 6 squared is 36 times 6 equals to 216

4 0
3 years ago
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