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Mkey [24]
3 years ago
5

Which graph shows the inequality b≤-7

Mathematics
1 answer:
leonid [27]3 years ago
4 0
B) because a filled circle means the 
<span>b≤-7 mean b is "less than or equal to 7"
the arrow to the left of seven is the "less" part and the filled circle is the "equal to" part.</span>
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Find the shaded area.<br> 12 cm<br> 8 cm<br> 8 cm<br> 18 cm
Mrrafil [7]

Answer:

152 cm²

Step-by-step explanation:

The shaded area is calculated as

outer area - inner white area

= (12 × 18) - (8 × 8 )

= 216 - 64

= 152 cm²

7 0
3 years ago
Read 2 more answers
A circle has the equation 2x²+12x+2y²−16y−150=0.
KonstantinChe [14]

Answer: B. The coordinates of the center are (-3,4), and the length of the radius is 10 units.

Step-by-step explanation:

The equation of a circle in the center-radius form is:

(x-h)^{2} +(y-k)^{2}=r^{2} (1)

Where (h,k) are the coordinates of the center and r is the radius.

Now, we are given the equation of this circle as follows:

2x^{2}+12x+2y^{2}-16y-150=0 (2)

And we have to write it in the format of equation (1). So, let's begin by applying common factor 2 in the left side of the equation:

2(x^{2}+6x+y^{2}-8y-75)=0 (3)

Rearranging the equation:

x^{2}+6x+y^{2}-8y=75 (4)

(x^{2}+6x)+(y^{2}-8y)=75 (5)

Now we have to complete the square in both parenthesis, in order to have a perfect square trinomial in the form of (a\pm b)^{2}=a^{2}\pm+2ab+b^{2}:

<u>For the first parenthesis:</u>

x^{2}+6x+b^{2}

We can rewrite this as:

x^{2}+2(3)x+b^{2}

Hence in this case b=3 and b^{2}=9:

x^{2}+2(3)x+3^{2}=x^{2}+6x+9=(x+3)^{2}

<u>For the second parenthesis:</u>

y^{2}-8y+b^{2}

We can rewrite this as:

y^{2}-2(4)y+b^{2}

Hence in this case b=-3 and b^{2}=9:

y^{2}-2(4)y+4^{2}=y^{2}-8y+16=(y-4)^{2}

Then, equation (5) is rewritten as follows:

(x^{2}+6x+9)+(y^{2}-8y+16)=75+9+16 (6)

<u>Note we are adding 9 and 16 in both sides of the equation in order to keep the equality.</u>

Rearranging:

(x-3)^{2}+(y-4)^{2}=100 (7)

At this point we have the circle equation in the center radius form (x-h)^{2} +(y-k)^{2}=r^{2}

Hence:

h=-3

k=4

r=\sqrt{100}=10

8 0
3 years ago
What is the percent of change from 75 to 14 rounded to nearest percent??
zhuklara [117]

- 81 %

Step-by-step explanation:

To find the percentage change;

([Current – Initial] / Initial) * 100

([14 - 75] / 75) * 100

(-61 / 75) * 100

(-0.81333) * 100

= - 81.3333 %

To the nearest percentage;

=  - 81 %

Learn More:

brainly.com/question/13396535

brainly.com/question/1076250

#LearnWithBrainly

3 0
2 years ago
How do I solve this equation?
Finger [1]
Think the 4 less than but not equal to as a equal sign
step 1. isolate the variable ( variable must stand alone)
step 2. subtract 12n -12n=0
step 3. since you subtract 12n from the left you must do the  same to the right.
step 4. 13n - 12n =1n
step 5. the equation should look like this -4 less than but not equal to 1n
step 6. isolate the variable n
step 6. divide 1n/1 on the right and on the left -4/1 it equals -4
so, n is -4

7 0
3 years ago
I NEED THIS ANSWER FAST. Show work.
777dan777 [17]

Answer:

1/20

Step-by-step explanation:

Entire the entire bottle/tube of the treatment.

3 0
3 years ago
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