4. There are two numbers that add together and the result is 63. If you subtract the same number together, the result is 28.
a) Create two equations from the statement above. Make sure to specify what each variable means.
b) Solve the system of equations by Elimination.​

they easiest way to find the right answer is to look at the 2 first terms and checking if they equal 64x³

doing so:

A:

48x³+...

B:

64x³+...

C:

9x³-48x³+...

= -39x³+...

-> the answer should be B, to make sure this is the right answer, you can just solve B

B:

(4x+3)(16x²-12x+9)

= 64x³- 48x²+36x+48x²-36x+27

= 64x³+27

-> answer B is correct

Answer:

Collinear points: points that lie on the same straight line or in a single line

Coplanar points:  three or more points which lie in the same plane

12. Point collinear with points E and G = C. Point Y

13. Point coplanar with points A, D and H = A. Point E

14. Point coplanar with points A, C and G = A. Point E

15. Point collinear with points B and D = B. Point X

[tex] \green{ - - - - - - - - - - - - - - - - - - }[/tex]

Collinear points — Collinear points are points that lie on the same line.

Coplanar points — Any three points in space that lie on the same plane are called coplanar points.

[tex]\green{ - - - - - - - - - - - - - - - - - - }[/tex]

Answer:

7v and 4v are like terms, 9u is a term, and 5 is a constant.

Step-by-step explanation:

Like terms are terms that can be added together, such as numbers being multiplied by the same variable. A term is a number, a variable, or a number and a variable combined. A constant is a number that is not being multiplied or divided by a variable, but just a number on its own.

Answer:

a

Step-by-step explanation:

An asteroid is a minor planet of the inner Solar System. Historically, these terms have been applied to any astronomical object orbiting the Sun that did not resolve into a disc in a telescope and was not observed to have characteristics of an active comet such as a tail.

Answer:

Step-by-step explanation:

The ratios of the numbers shown in the table are all ...

  y/x = 16/4 = 20/5 = 4

Then the missing y-value is ...

  y = 4x

  y = 4(2) = 8

__

And the missing x-value is ...

  36 = 4x

  36/4 = x = 9

_____

Additional comment

The x- and y-values in a "ratio table" are proportional to each other. That means the y corresponding to half an x-value will be half the y-value. In other words, the y for x=2 will be half the y for x=4, or 16/2 = 8.

Also, the values add. We notice that y=36 is the sum of y=16 and y=20. This means the corresponding x-value for y=36 will be the sum of x=4 and x=5, or x = 4+5 = 9.

We know that, the area of a square with side being s, is given by s², so if we here assume our side of square whose area is (16/36) sq. foot being s, so we will be having :

[tex]{:\implies \quad \sf s^{2}=\dfrac{16}{36}}[/tex]

[tex]{:\implies \quad \sf s=\pm \sqrt{\dfrac{16}{36}}}[/tex]

But, as length can never be -ve, so we will be taking only +ve length, and if we solve further for s, it will yield ;

[tex]{:\implies \quad \sf s=\sqrt{\dfrac{16}{36}}}[/tex]

[tex]{:\implies \quad \sf s=\dfrac{\sqrt{16}}{\sqrt{36}}}[/tex]

[tex]{:\implies \quad \sf s=\dfrac46}[/tex]

[tex]{:\implies \quad \boxed{\bf{s=\dfrac{4}{6}=\dfrac{2}{3}}}}[/tex]

Well, you might be thinking that (2/3)² willn't give (16/36) rather it will give (4/9), so for this, I'm telling that (2/3) ≈ 0.66666...7 and (4/6) ≈ 0.66666...7, so it's just the same thing and also, (16/36) and (4/9) are just too the same thing, dividing the numerator and denominator of (16/36) will just lead to (4/9) as same as (2/3)²

Answer:

x² - 6x = 7

x² - 6x + 9 = 7 + 9

(x - 3)² = 16

x - 3 = ± 4

x - 3 = 4 and x - 3 = -4

x: {-1, 7}

Largest value of x = 7

Smallest value of x: -1

I hope this helps!

Answer:

college c

Step-by-step explanation:

bc its the least amount of money and has the second highest loan default

65%= 234

100%= 234÷65×100

100%= 360

75%= 360÷100×75

75%= 270

Answer:

Step-by-step explanation:

1 pound = 16 ounces

16 ounces = $7.99

1 ounce = $0.50 (about)

Answer:

heya! ^^

we've been given an expression which is as follows -

[tex]4 {}^{2} - \sqrt{25} [/tex]

let's deal with this expression by dividing it into two separate parts which may help understand better.

______________________________________

★ let's first deal with the first part which is - [tex]4 {}^{2} [/tex]

now ,

[tex]4 {}^{2} \: can \: also \: be \: written \: as \\ \\ 4 {}^{2} = 4 \times 4 \\ 4 {}^{2} = 16[/tex]

★ now , let's consider the second part which is - [tex] \sqrt{25} [/tex]

this can also be written as " 5 " since ,

[tex] \sqrt{25} = 5[/tex]

______________________________________

let's have a look at the entire expression altogether now.

[tex]4 {}^{2} - \sqrt{25} \\ \\\dashrightarrow 16 - 5 \\ \\ \dashrightarrow \: 11[/tex]

hope helpful :D

Answer:

[tex]tanA=\frac{12}{20}\\\\tanB=\frac{20}{12}[/tex]

Step-by-step explanation:

[tex]tan(theta)=\frac{Opp}{Adj}[/tex]

Unless you want to solve for A and B plug that into inverse calculator.

A = tan^-1 ( 12/20 ) = 31°

A = 31.0°

B = tan^-1 ( 20/12 ) = 59.0°

B = 59.0°

Answer:

  A and C

Step-by-step explanation:

We can eliminate poor choices by estimating their relative sizes. And we can check the remaining choices by finding the exact volumes.

__

A hemisphere with radius 2, or a cone with dimensions of 4 or less, will have a much smaller volume than a sphere with radius 14. A cylinder with dimesions smaller than those of the sphere will have a smaller volume.

So, the only figures that might have similar volumes are the hemisphere and the cone.

  V = 1/2(4/3)πr³ = 2/3π(2 cm)³ = 16/3π cm³

  V = 1/3πr²h = 1/3π(2 cm)²(4 cm) = 16/3πcm³

__

The hemisphere (A) and the cone (C) have the same volume.

Answer:

1/8

Step-by-step explanation:

1) Calculating the numerator value

2) Calculating the denominator value

The solution will be in the form :

Answer:

16,667

Step-by-step explanation:

13,925 + 2,742 = 16,667

Answer:

Bonjour

Step-by-step explanation:

Reese : 13 925

Manny : 2 742 de plus que Reese donc 13 925 + 2 742

13 925 + 2 742 = 16 667

Manny a marqué 16 667 points.

Answer:

63 km

Step-by-step explanation:

Given :

Solving :

Convert minutes into hours so that the units are equal, otherwise your answer will not be correct.

Calculating distance

Answer:

frist convert 315k/h into m/s

then convert 12min into sce

=12*60

=720

distance = v*t

=315*720

=226800m

Answer:

x= -96

Step-by-step explanation:

1

[tex] \frac{x}{6} + ( - 9) = - 25 \\ \frac{x}{6 } = - 25 - ( - 9) \\ \\ \frac{x}{6} = - 25 + 9 \\ \frac{x}{6} = - 16 \\ x = - 16 \times 6 \\ x = - 96[/tex]

Answer:

[tex]\huge\boxed{\bf\: Equation \rightarrow \frac{1}{6}*x - 9 = - 25}[/tex]

[tex]\huge\boxed{\bf\: Solution \rightarrow - 96}[/tex]

Step-by-step explanation:

Take the variable as 'x'.

Let's breakdown the given statement.

Given equation,

⅙*x - 9 = - 25

By solving,

⅙*x - 9 = - 25

⅙*x = - 25 + 9

⅙*x = - 16

x = - 16 * 6

x = [tex]\boxed{\bf\: - 96}[/tex]

[tex]\rule{150pt}{2pt}[/tex]

Step-by-step explanation:

p(x)=x³-1

p(-1)=(-1)³-1=(-1)-1=(-2)

p(-1)=(-2)

p(1)=(1)³-1=1-1=0

p(1)=0

Answer:

each baker cost $4

Step-by-step explanation:

4 times 9 is 36, and that leaves 4

Answer:

9.63 m³ = 9.63×1000 = 9630 litres (answer)

Step-by-step explanation:

hope it help

We have to factorise?

Let's see

#1

Take -5ac common

#2

Done!

Answer:

Question d

[tex]\sf -10a^2c+20ac-5ac^3[/tex]

Factor out common term -5:

[tex]\sf \implies -5(2a^2c-4ac+ac^3)[/tex]

Factor our common term a:

[tex]\sf \implies -5a(2ac-4c+c^3)[/tex]

Factor out common term c:

[tex]\sf \implies -5ac(2a-4+c^2)[/tex]

Question f

[tex]\sf 10c^3d-8cd^2+2cd[/tex]

Factor out common term 2:

[tex]\sf \implies 2(5c^3d-4cd^2+cd)[/tex]

Factor out common term c:

[tex]\sf \implies 2c(5c^2d-4d^2+d)[/tex]

Factor out common term d:

[tex]\sf \implies 2cd(5c^2-4d+1)[/tex]

Answer:

a) 3

b) 1/3

Step-by-step explanation:

I've never used Brainly math before, but I can help you out with the work for these problems.

Part A

3(x + 1) - x = 15

3x + 3 - x = 15

4x + 3 = 15

4x = 12

x = 3

Part B

5(x + 2) - 2x = 11

5x + 10 - 2x = 11

3x + 10 = 11

3x = 1

x = 1/3

Hope this helps!

= 5^-3 × 7⁰

= 1/5³ × 1. ( a^-m = 1/a^m ), ( a⁰ = 1 )

= 1/125 × 1

= 1/125 ANSWER

y=4x²-1

#1

#2

Zeros are 1/2,-1/2

#3

Convert to vertex form y=a(x-h)²+k

Vertex(h,k)=(0,-1)

#4

Graph attached

Answer:

i)  [tex]y=(2x+1)(2x-1)[/tex]

ii)  [tex]x=-\dfrac12, x=\dfrac12[/tex]

iii)   (0, -1)

iv)  see attached

Step-by-step explanation:

Given quadratic:  [tex]y=4x^2-1[/tex]

Factored form

We can use the Difference of Two Squares to factor the given quadratic.

[tex]a^2-b^2=(a+b)(a-b)[/tex]

Therefore,

[tex]a^2=4x^2=(2x)^2\implies a=2x[/tex]

[tex]b^2=1=1^2 \implies b=1[/tex]

So the relation in factored form is:

[tex]y=(2x+1)(2x-1)[/tex]

Zeros

The zeros of the quadratic polynomial are the x-coordinates of the points where the graph intersects the x-axis, i.e. when y = 0

[tex]\implies y=0[/tex]

[tex]\implies (2x+1)(2x-1)=0[/tex]

[tex]\implies (2x+1)=0\implies x=-\dfrac12[/tex]

[tex]\implies (2x-1)=0\implies x=\dfrac12[/tex]

Therefore, the zeros are -1/2 and 1/2

Vertex

The x-coordinate of the vertex is the midpoint of the zeros.

[tex]\textsf{midpoint}=\dfrac{-\frac12+\frac12}{2}=0[/tex]

To find the y-coordinate of the vertex, substitute the found value of x into the given equation:

[tex]\implies y=4(0)^2-1=-1[/tex]

Therefore, the vertex is (0, -1)

Answer:

perimeter = 12 + √74

area = 17.5

Step-by-step explanation:

See the drawing below.

This is a right triangle.

The legs have lengths 5 and 7.

We can find the length of the hypotenuse using the Pythagorean Theorem.

5² + 7² = e²

e² = 74

e = √74

perimeter = 5 + 7 + √74

perimeter = 12 + √74

area = bh/2

area = 5 × 7/2

area = 17.5