Which type of line of symmetry does the figure have?​

Answer:

y = 8x+6

Step-by-step explanation:

First find the slope since it is a linear function

m = (y2-y1)/(x2-x1)

    = (18-2)/(1 1/2 -  -1/2)

    =16 /  (1 1/2 +1/2)

    = 16/2

  = 8

The linear function is in the form

y = mx+b where m is the slope

y = 8x+b

Substitute the other point into the equation to determine b

10 = 8(1/2) +b

10 = 4+b

10-4 = b

6 = b

y = 8x+6

Answer:

y-intercept = 2 so it’s the first answer option

Step-by-step explanation: How to find the slope. Slope is rise/run so choose one point on the graph, and figure out how many squares it goes up and how many over, that’s your slope. Then, to find the y-intercept, find the point where it intersects on the y-axis, in this case it looks like 2.

The letter "x" is often used in algebra to mean a value that is not yet known. It is called a "variable" or sometimes an "unknown". In x + 2 = 7, x is a variable, but we can work out its value if we try! A variable doesn't have to be "x", it could be "y", "w" or any letter, name or symbol.

Answer:

A

Step-by-step explanation:

Answer:

Radius of the circle is 5 units.

Step-by-step explanation:

JKLMN is a regular polygon inscribed in a circle.

Since, its a regular polygon,

JN = NM = 5.88 units

"Perpendicular drawn from the center of the circle to any chord is the bisector of the chord"

Therefore, PQ will be the perpendicular bisector of chord NM.

QM = [tex]\frac{1}{2}(NM)[/tex]

QM = [tex]\frac{1}{2}(5.88)[/tex]

QM = 2.94 units

By applying Pythagoras theorem in ΔPQM,

PM² = PQ² + QM²

PM² = (4.05)² + (2.94)²

PM = [tex]\sqrt{16.4025+8.6436}[/tex]

PM = [tex]\sqrt{25.0461}[/tex]

PM = 5 units

Therefore, radius of the circle is 5 units.

Answer:

A 6.75

Step-by-step explanation:

i got a 100% on this test/quiz

Given:

The number is 3091.

To find:

The number of hundreds blocks if there are no thousands block.

Solution:

The given number is 3091.

It can be written as:

[tex]3091=3000+0+90+1[/tex]

[tex]3091=3\times 1000+0\times 100+9\times 10+1\times 1[/tex]

[tex]3091=3\ Thousands+0\ Hundreds+90\ Tens+1\ Ones[/tex]

There are no thousands block. So,

[tex]3000=30\times 100[/tex]

[tex]3000=30\ Hundreds[/tex]

Therefore, the number of hundreds blocks in 3091 is 30.

Answer:

Step-by-step explanation:

using formula

a^2+b^2=c^2

x^2+4^2=8^2

x^2+16=64

x^2=64-16

x=[tex]\sqrt{48}[/tex] cm

Answer:

x = [tex]\sqrt{48}[/tex]

Step-by-step explanation:

Using Pythagoras' identity in the right triangle

x² + 4² = 8²

x² + 16 = 64 ( subtract 16 from both sides )

x² = 48 ( take the square root of both sides )

x = [tex]\sqrt{48}[/tex]

5x -7 = 28

Add 7 to both sides:

5x = 35

Divide both sides by 5:

X = 7

The answer is x = 7

Answer:

Now, find the point where these two lines meet—that is the point with ... We just used them to help us locate the point \left(1,3\right) . ... Since x=2 , the point is to the right of the y-axis. Since y=-3 , the point is below the x-axis. ... Can you tell just by looking at the coordinates in which quadrant the point \left(-2 ... \left(3,-3\right)

Answer:

x = y/2+1/2

Step-by-step explanation:

Simplify the equation, leaving X on one side, giving you x=y/2+1/2.

Answer:

1 sample

Step-by-step explanation:

There is only one sample given for 20%

Answer:

the answer would be

b) 1 sample

Answer:

1 + 2 + 3 + 4 + 5 + 6 + 7 + 8 + 9 + 10 = 55

55 divided by 10 = 5.5 around 5

Add all your numbers

Divide by the many numbers there are, go by the exact value or estimate if needed.

Answer:

Symbol also in symbolizing something

Step-by-step explanation:

Allegory: is a form of narrative in which people, places and happenings have hidden or symbolic meaning. ... This is when the meaning, situation or action is one thing but means something different.

Answer:

[tex](a)\ -16t^2 + 7t + 63=0[/tex]

[tex](b)\ t = 2.215[/tex]

Step-by-step explanation:

Given

[tex]h(t) = -16t^2 + 7t + 63[/tex]

Solving (a): Equation when it hits the ground.

This means that [tex]h(t) = 0[/tex]

So, we have:

[tex]h(t) = -16t^2 + 7t + 63[/tex]

[tex]-16t^2 + 7t + 63=0[/tex]

Solving (b): The value of t in (a)

[tex]-16t^2 + 7t + 63=0[/tex]

Using quadratic formula, we have:

[tex]t = \frac{-b \± \sqrt{b^2 - 4ac}}{2a}[/tex]

This gives:

[tex]t = \frac{-7 \± \sqrt{7^2 - 4*-16*63}}{2*-16}[/tex]

[tex]t = \frac{-7 \± \sqrt{49+ 4032}}{2*-16}[/tex]

[tex]t = \frac{-7 \± \sqrt{4081}}{-32}[/tex]

[tex]t = \frac{-7 \± 63.88}{-32}[/tex]

Split

[tex]t = \frac{-7 + 63.88}{-32}; or\ t = \frac{-7 - 63.88}{-32}[/tex]

[tex]t = \frac{56.88}{-32}; or\ t = \frac{-70.88}{-32}[/tex]

[tex]t = -1.7775; or\ t = 2.215[/tex]

Time can't be negative; So:

[tex]t = 2.215[/tex]

Answer:

[tex]x=6+3\sqrt{2}[/tex] is the size of the square

Step-by-step explanation:

Let the side of the square cut from the cardboard be “x”

Size of the square base = [tex]12 -2x[/tex], height of the box = x

Volume of square box = Area * height = [tex](12-2x)^2 * x[/tex]

Differentiating the above equation and equating it to zero, we get –  

d/dx [tex]((12-2x)^2 * x)[/tex]

d/dx[tex]{(144 + 4x^2 -48x)*x}[/tex]= d/dx [tex](144x + 4x^3 -48x^2)[/tex]

d/dx [tex](144x + 4x^3 -48x^2) = 0[/tex]

[tex]144+8x^2-96X= 0\\18 +X^2-12X = 0[/tex]

On solving above equation, we get –  

[tex]x=6+3\sqrt{2} \\ x=6-3\sqrt{2}[/tex]

Given :

If, A = { x : x is a letter in the word 'MATHEMATICS' } .

To Find :

The members of A and find  n (A).

Solution :

We have given a set, A = { x : x is a letter in the word 'MATHEMATICS' } .

Now, we know in set theory recurring element is written once only i.e all unique elements should be there in the set.

So,

A = { M, A, T, H, E, I, C, S }

Now, number of element in set A is 8.

Therefore, n(A) = 8 .

Answer:

a)2.5 b)-1200

Step-by-step explanation:

a)2(-5)/4=-10/-4=5/2=2.5

b)2(-5)×(-6)×5(-4)=-10×-6×-20=-1200

Answer:

2.5, - 1200

Step-by-step explanation:

(a)

Substitute the given values into the expression

[tex]\frac{2a}{c}[/tex] = [tex]\frac{2(-5)}{-4}[/tex] = [tex]\frac{-10}{-4}[/tex] = [tex]\frac{10}{4}[/tex] = [tex]\frac{5}{2}[/tex] = 2.5

(b)

2a × b × 5c

= 10abc

= 10 × - 5 × - 6 × - 4

= - 50 × 24

= - 1200

Answer:

[tex]m = \frac{5}{2} [/tex]

Step-by-step explanation:

Here are the laws which would be used in this question:

Indices:

• [tex] \sqrt{a} = {a}^{ \frac{1}{2} } [/tex]

• [tex] \frac{1}{a} = {a}^{ - 1} [/tex]

Logarithm

• [tex] log_{a}( {x}^{n} ) = n log_{a}(x) [/tex]

[tex] log_{m}( \sqrt{2} ) + log_{m}(8) + log_{m}( \frac{1}{2} ) [/tex]

[tex] = log_{m}( {2}^{ \frac{1}{2} } ) + log_{m}( {2}^{3} ) + log_{m}( {2}^{ - 1} ) [/tex]

[tex] = \frac{1}{2} log_{m}(2) + 3 log_{m}(2) - log_{m}(2) [/tex]

[tex] = \frac{5}{2} log_{m}(2) [/tex]

=>10³

5 × 10³ × 10³ = 5 × 10⁶

The 10³ or 1000 is multiplied by the expression 5x 10^3 is equivalent to the expression 5 x 10^6 option third is correct.

The distributive property is the property that expresses the distributive law of algebraic multiplication for example we can write a(c+b)  in the form of (ac+bc).

We have an expression:

= 5×10³

We have to make the above expression equivalent to the [tex]5\times 10^6[/tex]

Let's suppose the number is x.

Now according to the question:

[tex]\rm (5\times10^3)\times x = 5\times 10^6[/tex]

[tex]\rm x = \frac{5\times 10^6}{(5\times10^3)}[/tex]    (divide by 5×10³ on both sides)

x = 10³           (after simplification)

x = 1000

Thus, the 10³ or 1000 is multiplied by the expression 5x 10^3 is equivalent to the expression 5 x 10^6 option third is correct.

Learn more about the distributive property here:

brainly.com/question/5637942

Step-by-step explanation:

multiply length, width and height. 7x7x10=197.33

Answer:

Cathy's number is not divide by 7 and 9

Step-by-step explanation:

Anh’s number is divisible by all numbers from 1 to 10 except 7.  

Hence, Anh’s number is 8*9*10 = 720

Bill’s number  does not divide by 9, hence his number would be = 3*8*5*7 = 840

The sum of numbers of all three is divisible by all numbers between 1 to10  

So the sum number is = 10*9*8*7 = 5040

Number of Cathy = 2520  – 720 -840 = 960

960 is not divisible by 7 and 9

[tex]\boxed{c.\:n\:=\:18}[/tex] ✅

[tex]\large\mathfrak{{\pmb{\underline{\red{Step-by-step\:explanation}}{\orange{:}}}}}[/tex]

[tex] \frac{6}{n} = \frac{14}{42} \\ ⇢ n = \frac{6 \times 42}{14} \\ ⇢ n = \frac{252}{14} \\ ⇢ n = 18[/tex]

[tex]{ \bf{ \underbrace{To\:verify:}}}[/tex]

[tex] \frac{6}{n} = \frac{14}{42} \\ ⇢  \frac{6}{18} = \frac{14}{42} \\ ⇢  \frac{1}{3} = \frac{1}{3} \\ ⇢ L.H.S.=R. H. S[/tex]

Hence verified.

[tex]\large\mathfrak{{\pmb{\underline{\orange{Happy\:learning }}{\orange{.ඞ}}}}}[/tex]

Answer:

-0.708073 this is the exact answer im not sure if they want you to round or not

Step-by-step explanation:

[tex]\huge\text{Hey there!}[/tex]

[tex]\textsf{If n = 4 and k = 12 the substitute it into the given equation.}[/tex]

[tex]\mathsf{\dfrac{2(4) - 6+5(12)}{3(4-9)}}[/tex]

[tex]\mathsf{2\times4=\boxed{\bf 8}}[/tex]

[tex]\mathsf{\dfrac{8-6+5(12)}{3(4-9)}}[/tex]

[tex]\mathsf{8-6=\boxed{\bf 2}}[/tex]

[tex]\mathsf{\dfrac{2+(5)(12)}{3(4-9)}}[/tex]

[tex]\mathsf{5\times12=\boxed{\bf 60}}[/tex]

[tex]\mathsf{\dfrac{2+60}{3(4-9)}}[/tex]

[tex]\mathsf{2+60=\boxed{\bf 62}}[/tex]

[tex]\mathsf{\dfrac{\bold{62}}{3(4-9)}}[/tex]

[tex]\mathsf{4 - 9=\boxed{\bf -5}}[/tex]

[tex]\mathsf{\dfrac{62}{3(-5)}}[/tex]

[tex]\mathsf{3\times-5=\boxed{\bf -15}}[/tex]

[tex]\mathsf{\dfrac{62}{\bf -15}}[/tex]

[tex]\boxed{\boxed{\large\textsf{Answer: }\mathsf{\bf -\dfrac{62}{15}}}}\huge\checkmark[/tex]

[tex]\large\text{Good luck on your assignment and enjoy your day!}[/tex]

~[tex]\frak{Amphitrite1040:)}[/tex]

Answer:

A)

Step-by-step explanation:

check that the formula in A works . . .

the 7th term should be 320

a(320) = 5(2)^7-1

= 5(2)^6

= 5(64)

= 320

Answer:

(x+5)²+(y+5)²=18

Step-by-step explanation:

r=√(-8+5)²+(-2+5)²=√(-3)²+(3)²=√9+9

=√18

the equation is :

(x+5)²+(y+5)²=18

Using the Factor Theorem, the quadratic equation is given by:

[tex]f(x) = 6(x^2 + 10x + 24)[/tex]

The Factor Theorem states that a polynomial function with roots [tex]x_1, x_2, \codts, x_n[/tex] is given by:

[tex]f(x) = a(x - x_1)(x - x_2) \cdots (x - x_n)[/tex]

In which a is the leading coefficient.

In this problem, we have a quadratic function, meaning that it has two roots, and it passes through (-6,0) and (-4,0), hence the roots are [tex]x_1 = -4, x_2 = -6[/tex], thus:

[tex]f(x) = a(x + 4)(x + 6)[/tex]

[tex]f(x) = a(x^2 + 10x + 24)[/tex]

Considering that it passes through (-3, -18), we can find a, hence:

[tex]18 = a[(-3)^2 + 10(-3) + 24][/tex]

[tex]3a = 18[/tex]

[tex]a = 6[/tex]

Hence the equation is:

[tex]f(x) = 6(x^2 + 10x + 24)[/tex]

More can be learned about the Factor Theorem at https://brainly.com/question/24380382

Answer:

the second one

Step-by-step explanation:

Answer:

7 and 1/8 i think

Step-by-step explanation: