Find the equation of the linear function represented by the table below in slope--
intercept form.
x
у
1
-6
2
-9
3
-12
4
-15

Answer:

a) 5

Step-by-step explanation:

Put them into slope intercept form AKA y=mx+b: -5=m1+b and 5=m3+b

Subtract the equations to get -10=-2m

Divide both sides by two to get: 5=m

Hope this helps! (^-^)

Answer:

A. 14

Step-by-step explanation:

Answer:

The distance from vertex B to the midpoint of AC is 3.

Step-by-step explanation:

From Linear Algebra we understand that location of the midpoint of AC is determined by the following formula:

[tex]M(x,y) = \frac{1}{2}\cdot A(x,y) + \frac{1}{2}\cdot C(x,y)[/tex] (1)

Where:

[tex]A(x,y)[/tex], [tex]C(x,y)[/tex] - Locations of vertices A and C regarding origin, dimensionless.

[tex]M(x,y)[/tex] - Location of the midpoint regarding origin, dimensionless.

If we know that [tex]A(x,y) = (1,-3)[/tex] and [tex]C(x,y) = (5,-3)[/tex], then the midpoint of AC is:

[tex]M(x,y) = \frac{1}{2}\cdot (1,-3)+\frac{1}{2}\cdot (5,-3)[/tex]

[tex]M(x,y) = \left(\frac{1}{2},-\frac{3}{2} \right)+\left(\frac{5}{2}, -\frac{3}{2} \right)[/tex]

[tex]M(x,y) = (3, -3)[/tex]

Lastly, the distance from vertex B to the midpoint of AC is calculated from the Pythagorean Theorem:

[tex]d = \sqrt{(M_{x}-B_{x})^{2}+(M_{y}-B_{y})^{2}}[/tex] (2)

If we know that [tex]M_{x} = 3[/tex], [tex]M_{y} = -3[/tex], [tex]B_{x} = 3[/tex] and [tex]B_{y} = 0[/tex], then the distance is:

[tex]d = \sqrt{(3-3)^{2}+(-3-0)^{2}}[/tex]

[tex]d = 3[/tex]

The distance from vertex B to the midpoint of AC is 3.

Answer:

C)

Step-by-step explanation:

Sides:

WX = FE

XY = EY

WY = FY

Angles:

∠W = ∠F

∠X = ∠E

∠Y = ∠Y

Answer:

a= x-f

b=y-b

Step-by-step explanation:

Answer:

18 options.

Step-by-step explanation:

Answer:

x = 4.33

Step-by-step explanation:

3x - 4 = 17

     -4 = -4

3x = 13

/3  = /3

x  = 4.33

4.33

could not delete my wrong answer sorry :/

Answer:

1. The hare sprinted the farthest.

2.

First place: Antelope: (1.6093 kilometers)

Second place: Cougar (1.2875 kilometers)

Third place: Hare (1.2607 kilometers)

Fourth Place: Ostrich and Coyote (1.15 kilometers)

Fifth Place: Kangaroo (1.073 kilometers)

Step-by-step explanation:

Just convert them all into kilometers.

Answer:

The counter in the drawing is 8 in. wide.

Step-by-step explanation:

Answer:

Step-by-step explanation:

y=2x+2

Answer:

the answer is -0.7

Step-by-step explanation:

first you multiply 2 ×-5 that will give you negative 10 then you divide 7 ÷ -10 and you get -0.7

Answer:

15

Step-by-step explanation:

Answer:

200 detective phones.

Step-by-step explanation:

Write the proportion where x is the number of detective phones.

cross multiply

divide both sides by 60

Answer:

Quartic

Step-by-step explanation:

Given

[tex]h(x) = 4x^4 + 2x - 5[/tex]

Required

Name the polynomial

The question required that the polynomial be named based on its degree.

This implies that, we name the polynomial based on the highest power of x

Highest power of x = 4

When the highest power of x in a polynomial is 4, such polynomial is a quartic polynomial.

Hence, by degree; the polynomial is quartic

Answer:

14/1

14 miles per hour.

Step-by-step explanation:

Answer:

x > -4

Step-by-step explanation:

I hope this helps!

[tex]\mathfrak{\huge{\pink{\underline{\underline{AnSwEr:-}}}}}[/tex]

Actually Welcome to the Concept of the Congruency,

Question 2.) => since all sides are equal, so SSS is the answer for Q-2

Question 3.) => Two angles and one side, so AAS is the answer for Q-3

Answer:

Step-by-step explanation:

144

The area of the picture of the doghouse will be 66 square inches.

The quantity area demonstrates the amount of a sector on a planar or hemispherical cup. Surface area refers to the area of an open surface or the border of a multi-object, whereas the area of a plane region or plane field refers to the area of a form or planar material.

The figure is the combination of two congruent triangles and one rectangle. Then the area is given as,

A = 2 (Area of triangle) + (Area of rectangle)

A = 2 x 1/2 x 3 x 6 + 4 x 12

A = 18 + 48

A = 66 square inches

The area of the picture of the doghouse will be 66 square inches.

More about the area link is given below.

https://brainly.com/question/27683633

#SPJ2

Answer:

-3

Step-by-step explanation:

1.5x + 1.3x = -8.4

2.8x = -8.4

x=-3

As per the provided question, we have to find the value of x. So, we can easily find the value of x by transposition method.

[tex] \sf \red { 1.5x + 1.3x = -8.4 } [/tex]

[tex] \sf {\implies 2.8x = -8.4 } [/tex]

[tex] \sf {\implies x =\dfrac{ -8.4 }{2.8}} [/tex]

[tex] \sf {\implies x =\dfrac{ -84 \times \cancel{10} }{28 \times \cancel{10}}} [/tex]

[tex] \sf {\implies x =\dfrac{ -84 }{28}} [/tex]

[tex] \sf {\implies x = -3} [/tex] [tex] \purple {\bigstar} [/tex]

Just substitute the value of x in L.H.S .

[tex] \sf \red { 1.5x + 1.3x = -8.4 } [/tex]

Therefore

[tex] \sf {\implies 1.5(-3) + 1.3(-3)= -8.4 } [/tex]

[tex] \sf {\implies -4.5+ (-3.9)= -8.4 } [/tex]

[tex] \sf {\implies -4.5-3.9= -8.4 } [/tex]

[tex] \sf \purple {\implies -8.4= -8.4 } [/tex]

[tex] \sf {\therefore L.H.S= R.H.S } [/tex]

Answer:

3750, 8888.89, 1920

Step-by-step explanation:

p=m/v

p1=240/(0.04^3)= 3750 kg/m^3

p2=240/(0.03^3)= 8888.89 kg/m^3

p3=240/(0.05^3)= 1920 kg/m^3

Answer:

3750, 8888.89, 1920

Hope this helped!

Answer:

174.9625

Step-by-step explanation:

Multiply the cost by 0.05

Answer:

b???

Step-by-step explanation:

Answer:

I think it is c. 41.42

Step-by-step explanation:

you would have to multiply the length and the width and then add the 1 inch because each wheel is one inch to the 4 to make 5 then you would multipy  8x5 which eqals 40 which is closes to 41.42!

(I am so sorry if im wrong)

Answer:

Step-by-step explanation:

h = 3x + 30

The equation representing price of heart candies to price of jelly beans is h = 30 + 3j.

It is given that price per pound of heart candies (h) is equal to 30 cents more than three times the price per pound of jelly beans (j).

We have to find out the equation which represent above statement.

What is algebra ?

Algebra is the branch that deals with various symbols and the arithmetic operations such as multiplication , division , etc.

As per the question ;

Jelly beans are represented by j and heart candies by h.

And given ;

h is equal to 30 cent more than three times of j

i.e.,

h = 30 + 3 × j

or

h = 30 + 3j cents

Thus , the equation representing price of heart candies to price of

jelly beans is h = 30 + 3j.

To learn more about algebra click here ;

brainly.com/question/26479183

#SPJ2

Answer: In a week you can travel 941 miles

Step-by-step explanation:

$240+0.15m=$381

Subtract $240 on both sides:

$240-$240+0.15m=$381-$240

0.15m=$141

Divide 0.15 on both sides:

0.15m/0.15=141/0.15

m=941 miles

Answer:

7 is asa. The two trianges share two angles and one side.

8 is sas THe two triangels share two sides and one angle.

[tex]\mathfrak{\huge{\pink{\underline{\underline{AnSwEr:-}}}}}[/tex]

Actually Welcome to the Concept of the Congruency,

8 question answer is RHS,

since both are right angles triangles and have a common hypotenuse.

RHS criterion for Q-8.

Answer:

60%

Step-by-step explanation:

A percent is technically just a fraction over 100.

To get that here, we simply divide the part (which is 1560 people) by the whole (which is 2600 people) and then multiply that by 100:

(1560 / 2600) * 100 = 0.6 * 100 = 60/100

Thus, we know that the percent is 60%.

Answer:

249.22

Step-by-step explanation:

Answer:

lines 2 and 4 are perpendicular

Step-by-step explanation:

if the slopes of two lines are opposed reciprocals, they are perpendicular. in this case the slope of line 2 is -1/2 and the slope of line 4 is 2 after you solve for y=mx+b form

Answer:

Yes

Step-by-step explanation:

Because if you Mult. the denominator to 15 you get 12/15 and 10/15 Which is less than 12/15