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puteri [66]
1 year ago
13

Solve x^2 + x - 12 = 0

Mathematics
1 answer:
bogdanovich [222]1 year ago
6 0

Answer:

x₁ = -4

x₂ = 3

Step-by-step explanation:

x²+ x + 12 = 0

x = {-1±√((1²)-(4*1*-12))} / (2*1)

x = {-1±√(1+48)} / 2

x = {-1±√49} / 2

x = {-1±7} / 2

x₁ = {-1-7} / 2 = -8/2 = -4

x₂ = {-1+7} / 2 = 6/2 = 3

Check:

x₁

-4² + (-4) - 12 = 0

16 - 4 - 12 = 0

x₂

3² + 3 - 12 = 0

9 + 3 - 12 = 0

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Can someone find the surface area of the composite shape and show work! I’ll give 30pts! Thanks!
aivan3 [116]

Answer:

382 cm²

Step-by-step explanation:

The shape can be decomposed into two rectangular prism or cuboids

✔️Dimension of prism 1 (smaller prism):

L = 10 cm

W = 3 cm

H = 7 - 4 = 3 cm

Surface area of prism 1 = 2(LW + LH + WH)

= 2(10*3 + 10*3 + 3*3)

= 2(69)

Surface area of prism 1 = 138 cm²

✔️Dimension of prism 2 (larger prism):

L = 10 cm

W = 8 cm

H = 4 cm

Surface area of prism = 2(LW + LH + WH)

= 2(10*8 + 10*4 + 8*4)

= 2(152)

Surface area of prism 2 = 304 cm²

✅Surface Area of the composite shape = (Surface area of prism 1 + surface area of prism 2) - (2 × area of the base of prism 1)

= (138 + 304) - (2 × L × W)

= 442 - (2 × 10 × 3)

= 442 - 60

= 382 cm²

8 0
3 years ago
Compare The Numbers?<br>6/9 ___ 3/4 <br>A. =<br>B. &gt;<br>C. &lt;
olasank [31]
The answer is C. The symbol means less than.
6 0
3 years ago
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PSYCHO15rus [73]

Answer:

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Step-by-step explanation:

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5 0
3 years ago
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A shere has a diameter of 24 units what is it’s volume in cubic units
Vika [28.1K]

Answer:

7238 rounded to the nearest whole number.

Step-by-step explanation:

To find the volume of the sphere, we use the formula.

v =  \frac{4}{3} \pi  {r}^{3}

The radius will be 24 units ÷ 2 = 12 units.

Hence, the volume is

\frac{4}{3} \pi \times  {12}^{3}

When entered in a calculator you'll get a result of 7238.23 cubic units in or 7238 rounded to the nearest whole number.

4 0
3 years ago
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Ksenya-84 [330]
- 9 + 12 = 3 or +3

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3 years ago
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