What is the first step to solving the quadratic equation x2=9over 16

Complete question

The diagram show a block of modelling clay 12cm 6cm and 2cm.

The density of the modelling clay is 1.25g/cm3. What is the mass of the block of clay?

Answer:

The mass of the block is 180g

Step-by-step explanation:

Given

Density = 1.25 g/cm³

Required

Mass of the block

Eben though the diagram of the block is missing, the question can still be solved.

First, the volume needs to be calculated.

Volume = lengy * breadth * height

Volume = 12 *,6 * 2

Volume = 144cm³

Now we have Volume and density.

The relationship between these two is as follows;

Density = mass/volume

Substitute for density and volume.

1.25 = mass/144

Multiply 144 to both sides

144 * 1.25 = mass/144 * 144

180 = Mass

Mass = 180

Hence, the mass of the block is 180g

Answer: 37.64

Step-by-step explanation:

Given data:

Height of the cone = 4feet

Radius of the cone = 3feet

Therefore:

Perimeter of a cone = 1/3 * π * r*h

= 1/3 * 22/7 * 3² * 4

= 0.333 * 3.14 * 9 * 4

= 37.64 feet

The perimeter of the The cone and plane is 37.64feet

Answer:

Unit rate = 2 mph

Step-by-step explanation:

Distance travelled = 1½ miles = [tex] \frac{3}{2} [/tex] miles

Time taken = ¾ hours

[tex]Unit \: rate = \frac{distance \: travelled}{time \: taken} \\ \\ \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: = \frac{ \frac{3}{2} }{ \frac{3}{4} }\\ \\ \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: = \frac{3}{2} \times \frac{4}{3} \\ \\ \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: = 2 \: mph (miles \: per \: hour)[/tex]

Answer:

(x - 10)(x + 9)

Step-by-step explanation:

[tex] {x}^{2} - x - 90 \\ = {x}^{2} - 10x + 9x - 90 \\ = x(x - 10) + 9(x - 10) \\ = \red{ \boxed{ \bold{ (x - 10)(x + 9) }}}\\ [/tex]

Answer:

around 30.

Step-by-step explanation:

just divide 8564 by 287 to get the answer :)

brainliest pls

Answer:

Area: T = 0.649

Step-by-step explanation:

Sides: a = 3.5   b = 1.333   c = 2.25

Answer:

Step-by-step explanation:

no. even number = 50

no. odd number = 50

P (even ) = 50/ 100= 1/2

P(odd after take 1 even) = 50/99

Dependent event cause the first P affects the second P ( affect the total number of selection)

Answer:

x=58 degrees

Step-by-step explanation:

The angle is a right angle (90 degrees)

90-32=58

Answer:

58 degrees.

Step-by-step explanation:

This is because a right angle is 90 degrees and there's already 32 degrees of it "taken up." 90 - 32 = 58.

Answer:

£1481

Step-by-step explanation:

First find the cumulative frequency of the child tickets. You should get 58.

Then multiply this by the price of the child tickets.

58x12.50=£725

Then, to work out the number of adults, we subtract 58 from 100

100-58=42

Then multiply this by the price of adult tickets.

42x18=£756

Add both prices together to get your answer.

725+756=£1481

Sorry if it's too late, I hope it helps. :)

Answer: [tex]\sqrt{2}[/tex]

Step-by-step explanation:

In a 45 45 90 triangle the two sides are 1 wile the hypothenuse is [tex]\sqrt{2}[/tex]

Answer:

6x-y=2 is the equation

Step-by-step explanation:

The formula is y= mx+c where m= slope and c = y-intercept

so replacing their values,

y = 6x -2

y+2= 6x

6x-y = 2 is the required equation.

Answer:

y=6x-2

Step-by-step explanation:

Answer: to write an equation it has to be y=mx+b

The slope is 6, so you substitute the 6 in for the m. M is always the slope.

You also keep the x there.

The y intercept, also know as b, is -2 so you substitute that in for b.

Then you get the equation on the line.

y=6x-2!

Hope this helps. :)

Answer:

The correct answer is B.

Step by step explanation:

Domain of [tex]x^2-4 : \left [ {{Solution : - \infty} <x<\infty}} \atop {Interval Notation: (-\infty, \infty})}} \right][/tex]

Range of [tex]x^2-4:[/tex][tex]x^2-4 : \left [ {{Solution : f(x)\geq -4}} \atop {Interval Notation: [-4, \infty})}} \right][/tex]

Axis interception points of [tex]x^2-4 :[/tex] X Intercepts: [tex](2,0), (-2,0)[/tex], Y Intercepts: [tex](0,-4)[/tex]

Vertex of [tex]x^2-4:[/tex] Minimum [tex](0,-4)[/tex]

Hope this helps. If so, may I get brainliest and a thanks?

Thank you, Have a good day!

Answer:

The sum of 10 terms is  S₁₀  =  -1023

Step-by-step explanation:

Explanation:-

Given series

3 + (-6) + 12 + (-24) + ⋯

This is geometric sequence  3 , -6 ,12 , -24 ,....

a = 3 and common ratio  [tex]r = \frac{-6}{3} = -2[/tex]  

Given ratio r = -2 < 1

Sum of 'n' terms of a G.P

[tex]S_{n} = \frac{a(1-r^{n} ) }{1-r} if r <1[/tex]

Sum of '10' terms of a G.P

[tex]S_{10} = \frac{3((1-(-2 )^{10} }{1-(-2)}[/tex]

[tex]S_{10} = \frac{3((1-(-2 )^{10} }{3} = 1-2^{10} = 1- 1024 = - 1023[/tex]

Conclusion:-

Sum of '10' terms of a G.P = - 1023

Verification:-

The series of first 10 terms

3+(-6)+12+(-24)+48+(-96)+192+(-384)+768+(-1536) =  -1023

Answer:

The answer is 9/4

Step-by-step explanation:

Answer:B

Step-by-step explanation:

$2000×1.05^7=$2814.20

Answer:

B

Step-by-step explanation:

P = $ 2000

r =5% = 0.05

t = 7 years

[tex]Amount=P*(1+\frac{r}{100}})^{t}\\\\=2000*(1+0.05)^{7}\\\\=2000*(1.05)^{7}\\\\=2000*1.4071\\\\[/tex]

= $ 2814.20

Answer:

-36 divided by 9= -4

Step-by-step explanation:

-36 divided by 9= -4

USE A CALCULATOR OR DO THE INVERSE

Answer:

9

Step-by-step explanation:

-36/x=-4

x=-36/-4

Note, -/-=+

Therefore, x=9

Hope you understand

Answer:

1000-273=M

Step-by-step explanation:

Jarry has 273 and needs 1000 so take the number he needs by the marbles he has to find the marbles he needs to fill the jar. Hope this helped

The required equation that models the number of marbles still needed to fill the jar is M = 1000 - 273.

The equation model is defined as the model of the given situation in the form of an equation using variables and constants.

here,

Jarry has a jar with 273 marbles in it. The jar can hold 1,000 marbles in all.

Let the number of marbles that are still to be filled by M
And the equation is given as,
M = 1000 - 273

Thus, the required equation that models the number of marbles still needed to fill the jar is M = 1000 - 273.

Learn more about models here:

brainly.com/question/22591166

#SPJ5

Answer:

The equation represents exponential growth

Step-by-step explanation:

Since the equation is a positive exponential equation

Answer:

The z-score is -2

Step-by-step explanation:

Here, we are asked to calculate the z-score of the height.

Mathematically, we can calculate z-score by using the formula below;

z-score = (x-mean)/SD

According to this question, mean = 44cm and SD = 3cm with x here = 38cm

Plugging these values into the z-score equation, we have

z-score = (38-44)/3 = -6/3 = -2

9514 1404 393

Explanation:

The closure property for any operation and set says that performing the operation on members of the set will result in a member of the set.

The closure property for addition of polynomials says that the addition of any polynomials will result in a polynomial.

Examples:

1)  1 and x are polynomials, as is their sum: 1+x.

2) x^3 -5 and x+5 are polynomials, as is their sum: (x^3 -5) +(x+5) = x^3 -x.

Answer:

D

Step-by-step explanation:

The formula for the surface area of a square pyramid is [tex]a^2+2a\sqrt{\dfrac{a^2}{4}+h^2}[/tex], where a is the length of one of the base side lengths and h is the height. Plugging in the given values into this equation, you get:

[tex]75^2+2(75)\sqrt{\dfrac{75^2}{4}+90^2}=[/tex]

[tex]5625+150\cdot \sqrt{9506.25}=[/tex]

[tex]5625+14625=[/tex]

[tex]20,250[/tex]  square yards, or answer choice D.

Hope this helps!

Answer:

-The volume of a sphere:

[tex]V \approx 5575.279[/tex] [tex]in ^3[/tex]

     or

[tex]V \approx 5575.28[/tex] [tex]in^3[/tex] (Rounded to the nearest hundredth if needed)

Step-by-step explanation:

-Use the formula for the volume of a sphere and use the radius [tex]11[/tex] [tex]in[/tex] for that formula:

[tex]V = \frac{4}{3} \pi r^3[/tex]

[tex]V = \frac{4}{3} \pi 11^3[/tex]

-Then, you solve the formula:

[tex]V = \frac{4}{3} \pi 11^3[/tex]

[tex]V = \frac{4}{3} \times \pi \times 11^3[/tex]

[tex]V = \frac{4}{3} \times \pi \times 1331[/tex]

[tex]V = \frac{4}{3} \pi \times 1331[/tex]

[tex]V = \frac{5324}{3} \pi \approx 5575.279[/tex]

-Round up to the nearest hundredth (if needed):

[tex]V \approx 5575.28[/tex]

Answer:15

Step-by-step explanation:

Because you do the distance equation

Answer:

The volume of Prism will be "189888 inches".

Step-by-step explanation:

L = 43in.

W = 92in.

H = 4ft.

Convert ft. into in.

4 x 12

H=48in.

Volume or V = BH

and

B= L X W

B = 43 X 92

B = 3956 in.

then,

Volume = 3956 x 48 inches

Volume = 189888 inches

Answer:

A) Quadrilaterals

Step-by-step explanation:

All squares, rectangles, and rhombuses are parallelograms because their sides are parallel. However, quadrilaterals have four sides, but not all will be parallel.

Answer:

Volume of the prism = 1950unit³ (C)

Step-by-step explanation:

The question is incomplete without the diagram of the oblique prism and its dimension.

Find attached the diagram used in solving the question.

The prism has a rectangular base:

width= 10 units

length = 13 units

The distance between the top and the bottom base = 17 units.

Volume of prism = Area of base × height

Area of base = area of rectangle = Length ×width

= 13× 10

Area of base = 130unit²

To get the height, we would apply Pythagoras theorem

Hypotenuse² = opposite² + adjacent ²

17² = h² + 8²

289 = h² + 64

h² = 289-64 = 225

h = √225

h = 15unit

Volume of the prism = 130 × 15

Volume of the prism = 1950unit³ = 1950 cubic units

Answer:

The answer is C which is 1950 on EDGE

Step-by-step explanation:

Answer:

A)25

B) 14

Step-by-step explanation:

A) a/5 + 3 = 8

    a/5 = 8 - 3

    a = 5 x 5

    a = 25

B)  3b/7 -1 =5

     3b/7 = 5+1

     3b = 6 x 7

      b = 42/3

      b = 14

Answer: 502.4 cubed

Step-by-step explanation:

3.14x10x(4 squared)=160x3.14

502.4 (cubed)