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Dennis_Churaev [7]
2 years ago
15

A+3b = 7, c= 3 , then the value of a+3 (b+c ) =............

Mathematics
2 answers:
vaieri [72.5K]2 years ago
7 0

Answer:

16

Step-by-step explanation:

a+ 3(b + c)

a + 3b + 3c

but a + 3b = 7 and c = 3

7+3(3)

7 + 9

=16

fenix001 [56]2 years ago
3 0

See attachment for math work.

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Here are the areas of the 12 rectangular surfaces that make up the surface area of the podium:

7.5 x 1.5 = 11.25 square feet (Bottom)

1.5 x 1.5 x 2 = 4.5 square feet (Right/Left Bottom Sides)

2.5 x 1.5 x 2 = 7.5 square feet (Right/Left Flat)

1.5 x 1.5 x 2 = 4.5 square feet (Right/Left Top Sides)

2.5 x 1.5 x 2 = 7.5 square feet (Top Front/Back)

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7.5 x 1.5 x 2 = 22.5 (Bottom Front and Back)

The area of all these surfaces is 61.5 square feet.
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A, B and D

Step-by-step explanation:

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A sphere with center A is shown. Which represents a tangent?<br> | WE
lana [24]

Answer:

<h2>The segment FE is a tangent of the sphere.</h2>

Step-by-step explanation:

Obseve the sphere in the image attached.

Notice that point A is the center of the sphere. GD is the diameter, which means AG and AD are radius.

On the other hand, remember that a tangent is a line that intersects the figure at only one point, otherwise, it would be a secant.

Therefore, segment BC is a secant and segment FE is tangent.

So, the right answer is segment FE.

4 0
3 years ago
Please help me with this problem <br> Evaluate (-½·3)³
-Dominant- [34]

Answer: -27/8

Step-by-step explanation:

\left(-\frac{1}{2}\cdot \:3\right)^3

\mathrm{Apply\:exponent\:rule}:\quad \left(-a\right)^n=-a^n,\:\quad \mathrm{if\:}n\mathrm{\:is\:odd}

\left(-\frac{1}{2}\cdot \:3\right)^3=-\left(\frac{1}{2}\cdot \:3\right)^3

=-\left(\frac{1}{2}\cdot \:3\right)^3

\mathrm{Apply\:exponent\:rule}:\quad \left(a\cdot \:b\right)^n=a^nb^n

\left(\frac{1}{2}\cdot \:3\right)^3=\left(\frac{1}{2}\right)^3\cdot \:3^3

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3 0
2 years ago
Can someone answer question 2a and b only please
Mice21 [21]

Answer:

2a)  -2

b) 8

Step-by-step explanation:

<u>Equation of a parabola in vertex form</u>

f(x) = a(x - h)² + k

where (h, k) is the vertex and the axis of symmetry is x = h

2 a)

Using the equation of a parabola in vertex form, a parabola with vertex (2, -6):  

f(x) = a(x - 2)² - 6

If one of the x-axis intercepts is 6, then

                 f(6) = 0

⇒ a(6 - 2)² - 6 = 0

⇒         16a - 6 = 0

⇒              16a = 6

⇒                  a = 6/16 = 3/8

So f(x) = 3/8(x - 2)² - 6

To find the other intercept, set f(x) = 0 and solve for x:

                    f(x) = 0

⇒ 3/8(x - 2)² - 6 = 0

⇒      3/8(x - 2)² = 6

⇒           (x - 2)² = 16

⇒              x - 2 = ±4

⇒                   x = 6,  -2

Therefore, the other x-axis intercept is -2

b)

Using the equation of a parabola in vertex form, a parabola with vertex (2, -6):  

f(x) = a(x - 2)² - 6

If one of the x-axis intercepts is -4, then

                 f(-4) = 0

⇒ a(-4 - 2)² - 6 = 0

⇒         36a - 6 = 0

⇒              36a = 6

⇒                  a = 6/36 = 1/6

So f(x) = 1/6(x - 2)² - 6

To find the other intercept, set f(x) = 0 and solve for x:

                    f(x) = 0

⇒  1/6(x - 2)² - 6 = 0

⇒       1/6(x - 2)² = 6

⇒           (x - 2)² = 36

⇒              x - 2 = ±6

⇒                   x = 8,  -4

Therefore, the other x-axis intercept is 8

8 0
2 years ago
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