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3 years ago

Determine how many solutions the following equation has using quadratic formula x^2+5x=-8

Mathematics

1 answer:

Katen [24]3 years ago

3 0

Answer:

I will be using differentiation method

Step-by-step explanation:

x^2+5x =-8

2×x ×x^2-1 +5x = -8

2x +5x = -8

7x = -8

divide both sides by the co-efficient of x

7x÷7=-8÷7

x =-1.5

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What is 48 x 3/8 is equal to

Valentin [98]

Answer:

Step-by-step explanation:

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2 years ago

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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

Approximately how many inches are in 2500 millimeters? Given 1 in = 2.54 cm, 1 ft = .3048 m, 1 mi = 1.61 km.

love history [14]

Let's begin with 2500 mm and convert this to cm.

2500 mm = 250 cm

Next, convert 250 cm to inches. Recall that 1 inch = 2.54 cm.

Then (250 cm)(1 inch) / (2.54 cm) = (250 cm) (1 in)/ (2.54 cm)

= (250/2.54) inches = ? inches

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3 years ago

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sukhopar [10]

Answer:

Negative

Un-defined

Things you need to know:

Any line parallel to the x axis is 0

any line parallel to the y axis is infinite/un-defined

Any line that is slanted in that way shown in the picture is negative vice versa the other way it is slanted will be positive.

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3 years ago

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tanmayi wants to raise $175 for school fundraisder.she has raised $120 so far.How much more does she need to reach her goal?

Bezzdna [24]

175>120+x

175-120=55

55=x

$55

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2 years ago