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Inga [223]
3 years ago
8

What is the x-intercept of the graph 0f 27= -3x2?

Mathematics
1 answer:
jok3333 [9.3K]3 years ago
5 0

Answer:

x=±√−9

No real solutions.

Step-by-step explanation:

Step 1: Add 3x^2 to both sides.

27+3x2=−3x2+3x2

3x2+27=0

Step 2: Subtract 27 from both sides.

3x2+27−27=0−27

3x2=−27

Step 3: Divide both sides by 3.

3x2 /3 = −27 /3

x2=−9

Step 4: Take square root.

x=±√−9

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5×5*2 in leaving your answer index firm
DIA [1.3K]
5*5*2=50
5*5=25
25*2=50
8 0
3 years ago
1.)Find the height of a rectangular prism if the surface area is 148 cm2, the width is 4 cm and the length is 5 cm.
Contact [7]
1) surface of a rectangular prism=2(length x width)+2(length x height)+2(width x height)

Therefore:
148 cm²=2(5 cm x 4 cm)+2(5 cm x h)+2(4 cm x h)=
148 cm²=40 cm²+10 cm h+8 cm h
18 cm h=148 cm²-40 cm²
18 cm h=108 cm²
h=108 cm² / 18 cm=6 cm.

answer: height=6 cm 

2)
Volume of a rectangular prism= length x width x height 
therefore:
34 cm³=(1.7 cm)(0.5 cm) h
0.85 cm² h=34 cm³
h=34 cm³/0.85 cm²
h=40 cm.

answer: height=40 cm

3)
volume of a cylinder: πr²h
therefore.
118.79 ft³=πr²(5 ft)
r=√(118.79 ft³/5π ft)≈2.75 ft

answer: radius=2.75 ft

4)
 
Surface area of the pyramid with square base=4(A side)+A base
A side=(1/2)(8ft)(12 ft)=48 ft²
A base=(8 ft)(8 ft)=64 ft²

surface area=4(48 ft²)+64 ft²=256 ft²

Answer: the surface area of this pyramid would be 256 ft².

5)
surface of a cone=πrs+πr²
therefore:
radius=diameter/2=6.2 ft/2=3.1 ft
63.3 ft²=π(3.1 ft) s+π(3.1 ft)²
3.1π ft s=33.109 ft²
s=33.109 ft² /3.1π ft
s≈3.4 ft

Answer: the slant height would be 3.4 ft.

6)
volume of a square pyramid=(area of base x heigth)/3
therefore:
area of base=(6 ft)(6 ft)=36 ft²
126.97 ft³=36 ft² h /3
h=126.97 ft³/12 ft²=10.58 ft

answer: the height would be 10.58 ft.

7)
volume of a cone =(base x height)/3
base of a cone=πr²
therefore: 
199.23 cm³=πr²(9 cm)/3
r=√(199.23 cm³ / 3π cm)≈4.6 cm

answer: the radius would be 4.6 cm.

5 0
3 years ago
What are the Factors of 32 and 72?
Alexus [3.1K]

Answer:

The factors of 32 are 32, 16, 8, 4, 2, 1. The factors of 72 are 72, 36, 24, 18, 12, 9, 8, 6, 4, 3, 2, 1. The common factors of 32 and 72 are 8, 4, 2, 1, intersecting the two sets above.

plz mark brainliest :DD

4 0
3 years ago
Read 2 more answers
Use the figure above to solve for x
Fiesta28 [93]

Answer:

x is equal to 7

Step-by-step explanation:

Because the two horizontal lines are parallel, we know that the angles at which they intersect the diagonal line will be identical.

We also know that on either side of the diagonal line, the sum of the angles between that and either of the horizontal lines will be 180.

In short, we know that the two values given have a sum of 180.  With that we can quickly solve for x:

(x + 67) + (x + 127) = 180

2x + 194 = 180

2x = -14

x = 7

6 0
3 years ago
17. Which of the following is a factor of both x^2 - x - 6 and x^2- 5x+6?
andreyandreev [35.5K]

Step-by-step explanation:

For the equation x^{2} - x - 6, factoring gives us the following:

(x - 3)(x + 2)

For the equation x^{2} - 5x + 6, factoring gives us the following:

(x - 3)(x - 2)

From this, we see that the common factor is (x - 3)

7 0
3 years ago
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