5
4.)What function rule models the values in the table?
Х
4
8
12

16
Y
4.
8
12
16
20
a.) Y = -x + 4
b.)Y = x + 4
c.) Y = 4x + 4

Answer:

y = -1/7

Step-by-step explanation:

Mathematically, the distance between two points on a coordinate plane can be calculated using the formula;

d = √(x2-x1)^2 + (y2-y1)^2

for the first two points;

(5,y) and (1,4) ; we have

d = √(5-1)^2 + (y-4)^2

d = √(y-4)^2 + 16

For the other two;

(5,y) and (10,-3)

We have ;

d = √(5-10)^2 + (y + 3)^2

d = √(y+ 3)^2 + 25

from the question, these two distances are equal

all we have to do here is to equate the two distances

So we have it that;

(y-4)^2 + 16 = (y + 3)^2 + 25

y^2 -8y + 16 + 16 = y^2 + 6y + 9 + 25

-8y + 32 = 6y + 34

-8y -6y = 34-32

-14y = 2

y = -2/14

y = -1/7

Answer:

13 2/11

Step-by-step explanation:

40/11+105/11

145/11

13 2/11

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

[tex]\mathsf{= \ 3\dfrac{7}{11}+ 9\dfrac{6}{11}}[/tex]

[tex]\mathsf{ 3\dfrac{7}{11} =\boxed{ \bf \dfrac{40}{11}}}[/tex]

[tex]\mathsf{9\dfrac{6}{11}= \boxed{\bf \dfrac{105}{11}}}[/tex]

[tex]\mathsf{= \ \dfrac{(40\times11)+(105\times11)}{(11\times11)}}[/tex]

[tex]\mathsf{40\times11=\boxed{\bf 440}}[/tex]

[tex]\mathsf{105\times11=\boxed{\bf 1,155}}[/tex]

[tex]\mathsf{=\ \dfrac{440+ 1,155}{11\times11} }[/tex]

[tex]\mathsf{11\times11=\boxed{\bf 121}}[/tex]

[tex]\mathsf{\dfrac{440+1,155}{121}}[/tex]

[tex]\mathsf{440 + 1,155=\boxed{\bf 1,595}}\leftarrow\mathsf{Your\ numerator\ (TOP\ number)}[/tex]

[tex]\mathsf{= \dfrac{1,595}{121}}[/tex]

[tex]\mathsf{= 13\dfrac{2}{11}}[/tex]

[tex]\boxed{\boxed{\large\textsf{Answer: } \mathsf{\boxed{\bf \dfrac{1,595}{121}\ or\ 13 \dfrac{2}{11}}\\\large\textsf{either one of those should work they equal the same}}}}\huge\checkmark}[/tex]

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

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

Answer: Cause why not?

Step-by-step explanation:

[tex]3(4x-1)=-2x+19+8x-4[/tex]

First combine like terms:

[tex]3(4x-1)=(-2x+8x)+(19-4)\\\\3(4x-1)=6x+15[/tex]

Now distributive property

[tex](3)(4x)-(3)(1)=6x+15\\12x-3=15+6x[/tex]

Additive Property of Equality

[tex]12x-3+3=15+6x+3\\12x=18+6x[/tex]

Subtractive Property of Equality

[tex]12x-6x=18+6x-6x\\6x=18[/tex]

And finally Division Property of Equality

[tex]\frac{6x}{6} =\frac{18}{6} \\x=3[/tex]

Answer:

x = 135°

Step-by-step explanation:

4 sides and the diagonal are the same.

Therefore, it is square with each interior angle = 90°

The diagonal bisects the interior angle to 45° , 45°

x + 45° = 180°                [ straight line angle ]

x = 180 - 45 = 135°

Answer:

C

Step-by-step explanation:

I might be wrong. I hope it helps:)

Answer:

17

Step-by-step explanation:

Given

4(n + 5) - 8m ← substitute n = 0.25, m = 0.5 into the expression

= 4(0.25 + 5) - 8(0.5)

= 4(5.25) - 4

= 21 - 4

= 17

Answer:

D. hundreds

Step-by-step explanation:

if a football field is 100 yards long then it is 300 feet long and that is in the hundreds

y = -19

I started by adding 18 to both sides(inverse operation) then dividing by -2 to isolate the variable. What you do to one side must be done to the other

Answer:

A

Step-by-step explanation:

The slope is -1/2 and the y-intercept is 14

Answer:

0.0428 miles per gallon

Step-by-step explanation:

On her vacation in Mexico Stephanie was Abel to drive 280 miles on 12 gallons

Given data

Distance driven = 280miles

Fuel used= 12 gallons

Hence the gas per mile is expressed as

Gas per mile= 12/280

Gas per mile= 0.0428 miles per gallon

Answer:

B and E

Step-by-step explanation:

3^-8/3^-4 = 1/81 or .01234567...

I suggest that if you're having difficulty with a question like this again you go through all the answers individually so you can see what they equal! This method can really help in tests or where you can't get help.

3^-12 = 1/531441 <- not the answer

3^-4 = 1/81 <- answer!

3^2 = 9

1/3^2 = 1/9

1/3^4 = 1/81

1/3^12 = 1/531441

its also good to remember

3^-8/3^-4 would mean -8+4 = 3^-4 which would help you get your first answer.

Hope this helps!

[tex]B. \: {3}^{ - 4} \:✅\\ \\ E. \: \: \frac{1}{ {3}^{4} }\:✅ [/tex]

Step-by-step explanation:

[tex] \frac{ {3}^{ - 8} }{ {3}^{ - 4} } \\ \\ we \: know \: that \: \: \: \frac{ {a}^{m} }{ {a}^{n} } \: = \: {a}^{m - n} \\ \\= {3}^{ - 8 - ( - 4)} \\ \\ = {3}^{ - 8 + 4} \: ( \: ∵\: - \times - = + ) \\ \\ = {3}^{ - 4} \\ \\ ( \: or \: ) \\ \\= \frac{1}{ {3}^{4} } \\ \\( \: ∵\: {a}^{ - m} = \frac{1}{ {a}^{m} } \: ) \\\: [/tex]

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

Answer:

80°

because its diagnol so the one in the top corner is the same as x

Answer:

x = 140°

Step-by-step explanation:

Sum of exterior angles of polygon is 360°

That is, x + 70 + 80 + 70 = 360

           x + 220 = 360

           x = 360 - 220 = 140°

Answer:

B

Step-by-step explanation:

OEMJIGOVNarioendsdmarfwsipf JUST BELIEVE, also looking is good

The true statements on comparing Jasmine’s two drawings are B and C.

The sum of a finite traingle's interior angle is equal to 180° and this is called the Angle Sum Property of a Triangle.

It is given in the question

Jasmine drew triangles on a globe and on a flat map of the world

On comparing both the triangle the conclusions are

The triangle drawn on the globe is a spherical triangle and the angle sum of the interior angle will be greater that the two right angles or 180°.

Among the option given this is also true that

The New York to Buenos Aires line and the Paris to Buenos Aires line intersect at only one point on the map and only one point on the globe

Therefore option B and C are both true statement comparing Jasmine’s two drawings .

To know more about Angle Sum Property

https://brainly.com/question/8492819

#SPJ2

may be QR also equal to 34

Answer:

1 : 64

Step-by-step explanation:

We require the dimensions to be the same units

1 foot = 12 inches , then

85 [tex]\frac{1}{3}[/tex] feet = [tex]\frac{256}{3}[/tex] × 12 = 256 × 4 = 1024 inches

Scale is then

16 in : 1024 in ( divide both parts by 16 )

= 1 : 64

Answer:

Volume left = 16π cm³ or 50.265 cm³

Step-by-step explanation:

Let's first find the surface area of the tennis ball.

S.A = (4/3)πr³

Radius of a ball = 2 cm

Thus;

S.A = (4/3)π(2)³

S.A = 32π/3

Since there are 3 radius balls that will make the cylinder full, then;

Surface area of 3 balls = 3 × 32π/3 = 32π

Now, formula for volume of cylinder is;

V = πr²h

r = 2 cm

h = 4 × 3 = 12 (since diameter of tennis ball is 4 cm)

Thus;

V = π × 2² × 12

V = 48π

Thus;

Volume left = Volume of cylinder - surface area of 3 balls = 48π - 32π = 16π cm³ or 50.265 cm³

Answer:

3 is 18

4 is 14

5 is 10

6 is 6

I hope this helps

Answer:

2464 yd²

Step-by-step explanation:

Use the circle circumference formula: 2πr

2·[tex]\frac{22}{7}[/tex]·r=176

[tex]\frac{44}{7}[/tex]r=176

r=176·[tex]\frac{7}{44}[/tex]

r=28

Area of circle formula: πr²

[tex]\frac{22}{7}[/tex]·r²

[tex]\frac{22}{7}[/tex]·28²

[tex]\frac{22}{7}[/tex]·784

=2464 yd²

sorry but can u show a picture of y?

Answer:

but where is que plz show your que

Answer:

x = -0.2 and x = -3.5

Step-by-step explanation:

Combine like terms in the given equation, by subtracting 2x^2 from both sides:

6x^2 + 15x + 3 = 2x^2

-2x^2                = -2x^2

----------------------------------

4x^2 + 15x + 3 = 0

This is a quadratic equation.  We'll find the two solutions using the quadratic equation

      -b ± √(b^2 - 4ac)

x = ---------------------------

                  2a

Here the coefficients of the quadratic are a = 4, b = 15 and c = 3.

Thus, the discriminant b^2 - 4ac is 15^2 - 4(4)(3), or +177

and from that we know we'll find two real, unequal roots.

                                -15 ± √177

The roots are:  x = ------------------- , or x = -0.2 and x = -3.5

                                         8

Answer:

-2

Step-by-step explanation:

negative times positive equal negative so

-1×2= -2

Answer:

[tex] \large{ \tt{✺ \: EXPLANATION}} : [/tex]

[tex] \large{ \boxed{ \boxed{ \tt{↝OUR \: FINAL \: ANSWER: \boxed{1}}}}}[/tex]

▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁

The ladder will reach a height of 20.6 feet

The given parameters are:

Start by calculating how far (d) the ladder is, from the bottom of the house using the following Pythagoras theorem

[tex]45^2 = 27^2 +d^2[/tex]

Collect like terms

[tex]d^2= 45^2 -27^2[/tex]

[tex]d^2= 1296[/tex]

Take square roots of both sides

[tex]d= 36[/tex]

When the ladder is moved 4 feet farther, the new distance becomes

[tex]d= 36+4[/tex]

[tex]d= 40[/tex]

The new height (h) of the ladder is then calculated using the following Pythagoras theorem

[tex]45^2=40^2 + h^2[/tex]

Collect like terms

[tex]h^2 = 45^2-40^2[/tex]

[tex]h^2 = 425[/tex]

Take the square roots of both sides

[tex]h = 20.6[/tex]

Hence, the ladder will reach a height of 20.6 feet

Read more about Pythagoras theorem at:

https://brainly.com/question/654982

The shape can be split into 3 separate shapes:

On the left side a square 3 x 3 = 9 square inches.

The middle rectangle that is 2 x 5 = 10 square inches

The bottom rectangle which is 4 x 4 = 16 square inches

Total area = 9 + 10 + 16 = 35 square inches

hola quien habla español bueno ya no Adios :)

Answer:

C.(B and D

Step-by-step explanation:

Answer:

Step-by-step explanation:

7.3

Answer:

7.3

Step-by-step explanation:

22/3 = 22/3

(Decimal: 7.333333)

Answer:

x = -1/2, x = -5    OR    x = -0.5 and x = -4

Step-by-step explanation:

I’ll just put a picture, I can’t fully explain digitally.    ;D

Answer:

geometric

common ratio 2/3

Step-by-step explanation:

We know that the sequence is not arithmetic

3-2 =1

2-4/3 = 6/3 -4/3 = 2/3

The common difference is not the same

Now check geometric

The common ratio:

Take the second term over the first term

2/3

Now take the third term over the second term

4/3 ÷ 2

4/3 * 1/2 = 2/3

The common ratio is the same so the sequence is geometric with a common ratio of 2/3

Answer:

A

[tex]x + y > - 9 \\ - 7 + ( - 2) > - 9 \\ \\ 2x - 5y > - 4 \\ 2( - 7) - 5( - 2) \\ - 14 + 10 \\ > - 4[/tex]

Answer:

20%

Step-by-step explanation: The percent of error formula is |(theoretical value-actual value)/actual value|=percent of error. Substitute the values in. |(2.8-3.5)/3.5|=|(-0.7)/3.5|=0.2. The percent equal to 0.2 is 20%.