Use the Distance Formula and the Pythagorean Theorem to find the distance, to the nearest tenth, from T(2, –2) to W(–7, 3).

Answer:

(1, 7 )

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

Then the equations of the 2 lines are

y = 4x + 3 → (1)

y = 6x + 1 → (2)

Substitute y = 6x + 1 into (1)

6x + 1 = 4x + 3 ( subtract 4x from both sides )

2x + 1 = 3 ( subtract 1 from both sides )

2x = 2 ( divide both sides by 2 )

x = 1

Substitute x = 1 into either of the 2 equations for corresponding value of y

Substituting into (1)

y = 4(1) + 3 = 4 + 3 = 7

Point of intersection = (1, 7 )

Answer:

it's 5

Step-by-step explanation:

Answer:

r = 5

Step-by-step explanation:

if x and y are proportional then 'y = rx' where 'r' is the constant of proportionality

35 = 7r

60 = 15r

100 = 20r

'r' is 5

answer:

15

step-by-step explanation:

equation: 24 - t

variable: t

replace the variable with the number that represents it (9) & subtract

24 - t = ?

24 - (9) = 15

hope this helped!

Answer:

More people ordered processed than produce

Step-by-step explanation:

They are comparing [tex]\frac{1}{5} and \frac{19}{91}[/tex]

First we have to find the least common multiple (lcm)

The lcm is 455

[tex]\frac{1}{5} x \frac{91}{91} = \frac{91}{455}[/tex] (produce)

[tex]\frac{19}{91} x \frac{5}{5} =\frac{95}{455}[/tex] (processed)

[tex]\frac{91}{455} < \frac{95}{455}[/tex]

More people ordered processed than produce.

Answer:

the first

Step-by-step explanation:

i did the test

Answer:

-4

Step-by-step explanation:

[tex](y^4-y^3-3) \times (2y^3-2)=...+[(-1)(-2)+(2)(-3)]y^3+...\\=...+[2-6]y^3+...\\=...+(-4)y^3+...\\[/tex]

so coefficient of y^3=-4

Answer:

Perimeter = 30

Area = 30

Step-by-step explanation:

[tex](x+8)^2 -x^2 = 12^2[/tex]

[tex]x^2 +16x +64 - x^2 = 144[/tex]

[tex]16x+64=144[/tex]

[tex]16x = 80[/tex]

[tex]x = 5[/tex]

Double check:

[tex]\sqrt{12^2 + 5^2} = (5+8)\\\sqrt{12^2 + 5^2} = 13\\13 = 13[/tex]

Perimeter:

[tex]12+5+13=30[/tex]

Area([tex]\frac{1}{2}bh[/tex]):

[tex]\frac{1}{2}[/tex] × 12 × 5 = 30

According to Pythagorean theorem,

Δ  (Hypotenuse)² = (1st Leg)² + (2nd Leg)²

⇒  (x + 8)² = x² + 12²

⇒  x² + 64 + 16x = x² + 144

⇒  16x = 80

⇒ x = 5

Hypotenuse = (x + 8) = (5 + 8) = 13

1st Leg = 5

2nd Leg = 12

We know that : Perimeter is the Sum of all sides of the Triangle

⇒  Perimeter = Hypotenuse + 1st Leg + 2nd Leg

⇒  Perimeter = 13 + 5 + 12

⇒  Perimeter = 30

We know that :

[tex]\bigstar \ \ \boxed{\sf{\textsf{Area of a Triangle is given by} : \dfrac{1}{2} \times Base \times Height}}[/tex]

Base = 1st Leg

Height = 2nd Leg

[tex]\implies \sf{\textsf{Area of the Triangle} = \dfrac{1}{2} \times 5 \times 12}[/tex]

[tex]\implies \sf{\textsf{Area of the Triangle} = 30}[/tex]

Answer:

Replace all the (x) values with the Values "-1, 0, 2" to get your answers

Step-by-step explanation:

        4(-1)+4  (-1) < 0

f(-1)=  4(-1)+4  (-1) > 0

f(-1)= 4x+4 x < 0

f(0)= 4x +8 x>/_ 0

f(2)= 4x +8 x>/_ 0

Answer:

A and D are true.

Step-by-step explanation:

A function is a relationship that maps elements from one set (the domain, set of the inputs) into elements from another set (the range, set of the outputs), such that each element from the domain can be mapped into only one element from the range.

So, if the inputs are represented in the horizontal axis, and the outputs are represented in the vertical axis, when we draw a vertical line in any given point, this line can not intersect the graph more than once (because that would mean that a given input has two different outputs). This is known as the vertical line test. Note that two different values from the domain can be mapped into the same value in the range.

Also, we define a function as one-to-one if each output is mapped from only one input.

(so here we can not have two different inputs mapped into the same output).

Here we can do a similar test to the one above, this time we should use the horizontal line test to verify if the function is one-to-one or not.

So, here the correct options are:

A and D.

Option B is false.

And for option C, a sequence is a function where the variable is a set of natural numbers, so option C is also false.

Answer:

A and B is correct

Step-by-step explanation:

Answer:

the surface area is 263.76 feet²

hope this helps

have a nice day

Answer:

[tex] \displaystyle {r}^{} = 6[/tex]

Step-by-step explanation:

remember that,

[tex] \displaystyle V _{ \rm sphere} = \frac{4}{3} \pi {r}^{3} [/tex]

given that,

thus substitute:

[tex] \displaystyle \frac{4}{3} \pi {r}^{3} = 288\pi[/tex]

divide both sides by 4/3π:

[tex] \displaystyle {r}^{3} = 216[/tex]

cubic root both sides:

[tex] \displaystyle {r}^{} = 6[/tex]

and we are done!

Answer:

(1, 4)

Step-by-step explanation:

4x + 3y = 16

5x - y = 1

20x + 15y = 80            (Subtract the equations)

20x - 4y = 4

19y = 76

y = 4

Substitute into any of the original equations:

4x + 3(4) = 16

4x + 12 = 16

4x = 2

x = 1

x = 1, y = 4

Answer:

x = 1 and y = 4

Step-by-step explanation:

4x + 3y = 16

5x - y = 1

→ Rearrange the second equation to make y the subject

y = 5x - 1

→ Substitute this into the first equation

4x + 3 ( 5x - 1 ) = 16

→ Expand

4x + 15x - 3 = 16

→ Simplify

19x - 3 = 16

→ Add 3 to both sides

19x = 19

x = 1

→ Substitute this solution into 5x - y = 1

( 5 × 1 ) - y = 1

→ Simplify

5 - y = 1

→ Minus 5 from both sides

-y = -4

→ Multiply both sides by -1

y = 4

Answer:

A= 100.3

B= 43.5

C =36.2

Step-by-step explanation:

Answer:

The answer for Acellus people is

A = 100.3

B = 43.5

C = 36.2

Step-by-step explanation:

Answer:

11:7 or 11/7

Step-by-step explanation:

Since your asking for the ratio 11 goes first as the problom states red apples to green apples and there are 7 green apples so the corect answer is 11:7

Answer:

$1,608

Step-by-step explanation:

I think you have to do $70 x 24

Answer:

$1680

Step-by-step explanation:

For 1 ticket price=$70

For 24 ticket price=$70 x 24

=$1680

Answer:

A = 2000(1.04)^t

Step-by-step explanation:

Using the compound interest formula;

A = P(1+r)^t

P is the principal = $2000

r is the rate = 4% = 0.04

On substituting

A = 2000(1+0.04)^t

A = 2000(1.04)^t

Hence the required expression is A = 2000(1.04)^t

Answer:

45 green marbles

Step-by-step explanation:

Green : Blue : Red = 3 : 7 : 5

Fraction of green marbles = [tex]\frac{3}{3+7+5}=\frac{3}{15}[/tex]

Total marbles = 225

Number of green marbles = [tex]\frac{3}{15}*225[/tex]

                                           = 3 * 15

                                           = 45

Answer:

The answer would be : 7,500 <-- (rounded)

Step-by-step explanation: How i got this answer is, i just multiplied all of the sides together since thats what you do with area's. ( 21 x 21 x 17= 7,497)

Now, the last step is to just round the number off. As we see, the "497" is much more closer to the number "500". So we can just simply round "497" to "500". So your final number for the area would be (7,500) ft.

~hope this helped you out in any way, have a gr8 day/night my friend!~

Answer:

Start at zero, then go to the left two times, then go down eight more. The new location would be negative ten.

Step-by-step explanation:

Answer:

i will buy wo different with good price  

Step-by-step explanation:

z = x/y

____________

Answer:

3rd option

Step-by-step explanation:

Cavalieri's principle states that two figures which have the same height and  same cross-sectional area have the same volume

the height of the cylinders are both 42

the diameter of both figures is 24 as the diameter of the second cylinder = 12 x 2 = 24

the radius of the cylinders are both equal to 12

the diameter is the straight line that passes through the centre of a circle and touches the two edges of the circle.

A radius is half of the diameter

thus the volumes should be equal

Answer:

[tex]5\sqrt{10}[/tex] when simplified and added this is what i got and when redone too over check i got it again hopefully this helps.

Answer:

4th option

Step-by-step explanation:

Given

B (- 5, 3 ) → B' (2, 1 )

The change in the x- coordinates are - 5 → 2 , that is + 7

The change in the y- coordinates are 3 → 1 that is - 2

Then the translation rule is

(x, y ) → (x + 7, y - 2 )

If translation moves point B (-5,3) to point B’ (2,1).  Then (X+7, y-2) is the image of (x,y) under this translation

Graph is a mathematical representation of a network and it describes the relationship between lines and points.

Given,

A translation moves point B (-5,3) to point B’ (2,1).

We need to find the image of  (x,y) under this translation

A graph is translated k units horizontally by moving each point on the graph k units horizontally.

Which means to get B' which translation is used.

B (- 5, 3 ) and  B' (2, 1 )

If we add +7 to x coordinate we will get 2.

When we subtract 2 from B we will get 1

So the translation rule is

(x, y ) → (x + 7, y - 2 )

Hence (X+7, y-2) is the image of (x,y) under this translation

To learn more on Graphs click:

https://brainly.com/question/17267403

#SPJ2

Step-by-step explanation:

180°+63°

=243°

holp it help

Answer:

4x + 8y + 20 = 0

Step-by-step explanation:

Answer:

Step-by-step explanation:

f(1) = 160

f(n + 1) = -2 * f(n)

n = 1

f(2) = -2*f(1)

f(2) = -2*160

f(2) = - 320

f(3) = - 2*f(2)

f(3) = -2 * - 320

f(3) = 640

f(4) = -2 * f(3)

f(4) = -2 * 640

f(4) = - 1280

Answer:

22/24

ALL TOGETHER there is 24 donuts.

take half of 24, or 24 divided by 2, and you get 12.

so we know 12 of the donuts are vanilla with sprinkles.

then 2 had strawberry frosting and the rest had chocolate and sprinkles.

we took 12 away so we only have twelve left and if 2 of those 12 are strawberry with no sprinkles and the rest are chocolate WITH sprinkles, this means 10 are chocolate with sprinkles.

so 10 chocolate and sprinkles +12 vanilla and sprinkles=22 donuts with sprinkles out of 24 donuts total

Answer:

22/24

Step-by-step explanation: