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3 years ago

Solve the equation: 7x = 42. A. x = 6 B. x = – 6 C. x = 7 D. x = – 7

2 answers:

8 0

If you would like to solve the equation 7 * x = 42, you can calculate this using the following step:

7 * x = 42 /7
x = 42 / 7
x = 6

The correct result would be A. x = 6.

Igoryamba3 years ago

5 0

7x=42
Divide by 7 on both sides.
x=6

${\boxed{x=6}$

ANSWER: A

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Which shows the correct substitution of the values ab and c from the equation 0 = - 3x ^ 2 - 2x + 6 into the quadrati formula?

scZoUnD [109]

The answer would look something like this:

$\frac{2+-\sqrt{2^{2}-4(-3)(6) }}{2(-3)}$

There could also have a simplified version.

I hope this helps.

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4 years ago

Use the figure below to answer the questions.

Archy [21]

Answer:

a. What is the name of the 3D shape?

The name of the 3D shape is Prism

b. What is the formula for total surface area for this shape?

Total surface area:

$S=2A_{b}+P_{b}h$

c. What is the surface area of the figure?

The surface area of the figure is 144 cm²

Step-by-step explanation:

a. What is the name of the 3D shape?

The 3D shape has two congruent and parallel faces (triangles) and the other faces are parallelograms, then the 3D shape is a prism

b. What is the formula for total surface area for this shape?

Total Surface area:

$S=2A_{b}+P_{b}h$

where:

Area of the base of the prism: Ab

Perimeter of the base: Pb

Height of the prism: h

c. What is the surface area of the figure?

The base of the prism is a triangle. Then to calculate the area of the base, we must use the formula to calculate the area of a triangle:

$A_{b}=\frac{bh}{2}\\ A_{b}=\frac{(4 cm)(3 cm)}{2}\\ A_{b}=\frac{12cm^{2} }{2}\\ A_{b}=6cm^{2}$

The perimeter of the base is the perimeter of the triangle, equal to the sum of the sides of the triangle:

$P_{b}=4cm+3cm+5cm\\ P_{b}=12cm$

h: Height of the prism is the distance between the bases of the prism (the triangle), then h=11 cm

Then, replacing in the formula the known values:

$S=2(6 cm^{2})+(12 cm)(11 cm)\\ S=12 cm^{2}+132 cm^{2}\\ S=144 cm^{2}$

8 0

3 years ago

If the diameter of the sphere is 12cm what is the volume of the cylinder

german

$r^{2} \times \pi \times (h = height \: of \: the \: cilinder)$

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3 years ago

Xavier buys a two-quart bottle of juice for $5.12. What is the unit rate of the cost of the juice per fluid ounce?

zlopas [31]

Answer:

2.56

Step-by-step explanation:

2 divided by 512

2 lol

4 0

3 years ago

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Please help me on this question

Alina [70]

Answer:

DE = 13.4 cm (to 1 decimal place)

Step-by-step explanation:

Given: ABCD is a square

BC = AC = 12 cm (opposite sides of a square are congruent)

E is midpoint of BC (given)

BE = EC = 12/2 = 6 cm

CD = AB = 12 cm (opposite sides of a square are congruent)

angle ECD is a right angle (interior angles of a square are 90 deg.)

Consider right triangle ECD

DE = sqrt(EC^2+CD^2) ............. pythagorean theorem

= sqrt(6^2+12^2)

= sqrt ( 36+144 )

= sqrt (180)

= 2 sqrt(45)

= 13.416 (to three dec. places)

8 0

3 years ago

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