2.
A line passes through (1, –5) and (–3, 7).
a. Write an equation for the line in point-slope form.
b. Rewrite the equation in slope-intercept form.

A. y + 5 = –3(x – 1); y = –3x – 2

B. y - 1 = 1/3(x + 5); y = 1/3x + 8/3

C. y – 5 = 3(x + 1); y = 3x + 8

D. y - 5 = 1/3(x + 1); y = 1/3x + 16/3

Answer:

bvlo

Step-by-step explanation:

gv

Answer:

13

Step-by-step explanation:

h^2=5^2+12^2

h^2=25+144

h^2=169

h=sqr169

h=13

Answer:

13

Step-by-step explanation:

by Pythagorean theorem a²+b²=c²

a=5, b=12, c=AC

5²+12²= 25+144

=169

c²=169

c=✓169

=± 13 ( but length could only be positive)

AC=13

Answer:

x=5

Step-by-step explanation:

3(x-2)=9

3x-6=9

3x=9+6

=15

x=15÷3

=5

Warren ran 10 km in 60 minutes or 1 hour.

Proportionality is a case when two ratios are equal.

Given that Warren runs for charity, so, he runs for a hospital a 5-kilometer race in 30 minutes, on the same rate he ran a 10-kilometer race to support the animal shelter.

We need to find the time taken by him when he ran 10 km race.

Since, the rate of running is same, that means the speed was equal in both races,

Let t be the required time,

Therefore, using the concept of proportionality,

5 / 30 = 10 / t

5t = 300

t = 60

Therefore, he ran 10 km in 60 minutes or 1 hour.

Learn more about proportionality, click;

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If ZM is an obtuse angle (greater than 90), then ZM and ZP will not add up to 90.

If ZP is 120, then ZM and ZP will not add up to 90.

There are multiple contradicting statements within this problem, as noted above.

Hope this helps!

Options A and B are two contradict statements.

The four statement are given, we need to find the two contradict statements.

The definition of an obtuse angle in geometry states that 'an angle whose measure is greater than 90° and less than 180° is called an obtuse angle.

Here, m∠M is an obtuse angle and m∠M +m∠P= 90° are two contradict statements

Since, in m∠M +m∠P= 90° two angles adds up to 90°, so m∠M can not be obtuse angle.

Therefore, options A and B are two contradict statements.

Learn more about an obtuse angle here:

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Answer:

first one is a answer me I think it is a right to me

BC = BD

Step-by-step explanation:

AC = AD

because AB bisect ∠A or

∠CAB = ∠BAD

∴ So, BC = BD

Answer:

Step-by-step explanation

there are 80 boxes in total

Answer:

Answer:

-3 F'

Step-by-step explanation:

Answer:

hi hi hi hi hi hi hi hi hi hi hi hi hi

Answer:

x = -2 and y = 4

Step-by-step explanation:

We have given a system of equations

2x + 4y =12   ...........(1)

and

x + y = 2         .............(2)

Now to plot them in graph we need to find the points of the above linear equations .

From equation 1  ,we get

4y=12-2x

[tex]y=\frac{12-2x}{4} \\y=3-\frac{x}{2} \\[/tex]

Put x=0, then

[tex]y=3-\frac{0}{2} =3\\[/tex]

Put x=6

[tex]y=3-\frac{6}{2}=3-3=0[/tex]

So get the points (0,3) and (6,0).

From equation 2 ,we get

y=2-x

put x=0

y=2-0=2

put x=2

y=2-2=0

So we get the points (0,2) and (2,0).

So after plotting these points we get two lines intersecting at (-2,4).

Therefore our solution is x=-2 and y= 4.

Step-by-step explanation:

the average rate of change between two input values is the total change of the function values (output values) divided by the change in the input values.

so,

(g(4) - g(-5)) / (4 - -5)

g(4) = 4² + 5×4 + 1 = 37

g(-5) = (-5)² + 5×-5 + 1 = 25 - 25 + 1 = 1

4 - -5 = 4 + 5 = 9

(37 - 1)/9 = 36/9 = 4

the average change rate in that interval is 4 (or fully 4/1).

Answer:

Step-by-step explanation:

gg

Answer:

5

Step-by-step explanation:

Answer:D-5

Step-by-step explanation:

Answer: Answer in Photo

Answer:

[tex]a*a*c*c=a^2×c^2[/tex]

Step-by-step explanation:

Thanks!!!!!!!

Answer:

-0.09

Step-by-step explanation:

Answer:

y = 2,000(0.94)x

Step-by-step explanation:

f(x)  =  P (1 + r) ^x  

P = 2000

r = -0.06

f(x)  =  2000 (1 - 0.06)^x

=  2000 (0.94)^x

Answer:2

Step-by-step explanation:

Answer:

the vertex form is y= -2(x-4)^2+8 (the third one)

Answer:

Yards: 83.58

Feet: 250.75

Inches: 3009

Step-by-step explanation:

Yards: 1 yard = 36 inches

3009/36= 83.58

So if each yard is 36 inches and there are 83.58 sets of 36 inches in 3009 then that's how many yards you have.

Feet: 1 foot = 12 inches

3009/12= 250.75

Again, if each foot is 12 inches and there are 250.75 sets of 12 inches in 3009 then that's how many feet you have.

Inches: It's already in inches :)

I hope this isn't confusing and I could help!

Answer:

Yards : 83.5833333   Feet:250.75     Inches: 9

Answer:

m∠ ACB = 60°

Step-by-step explanation:

If AB║CD  if m∠

Answer:

the answer is D

Step-by-step explanation:

sorry if I did it wrong

Answer:

D. Yes because the sum of two lengths of any two sides...etc.

This is your answer

Step-by-step explanation:

side1  m = 3

side2  m = 7

2 smaller sides = ( 3 + 7)  = 10

10 is larger than 8

proof Pythagoras theorem

3^2 + 7^2 = c^2

sqrt 9 + sqrt 49 = c^2

c^2 = sqrt 58 = 7.6 = 8 rounded to 1 significant figure.

Proof 2

show ratios of each side  3 : 7 : 9

The circumradius of a cyclic polygon is a radius of the circle inside which the polygon can be inscribed.  The height can sometimes be such radius but this should be proved from the equation height of a triangle equation

isosceles  not using Pythagoras = hᵇ = √ (a² - (0.5

isosceles using Pythagoras=  h = 2 * area / b

obtuse height formula =Area of an obtuse-angled triangle = 1/2 × base × height. Therefore, the height of the obtuse triangle can be calculated by: Height = (2 × Area)/base Substituting the values, we get:.

So as we know Given a=3 and c=8, shows a higher amount for 7 but stays 7 in all circumstances of 1significant figure just like 8 stayed rounded down when using round figure just 7.  We get;

b = 7.4162

∠α = 22.024° = 22°1'28" = 0.3844 rad

∠β = 67.976° = 67°58'32" = 1.1864 rad

h = 2.78107

area = 11.1243

perimeter = 18.4162

inradius = 1.2081

circumradius = 4

When the circumradius is 4 and we need the ratio to the inradius

this means the ratio is R : r as;

3/4 :7/4 : 8/4  = 18/4 / 7/2 = 9/7 which shows us the cr radius to the in radius ratio.

R:r therefore = 9/7

Answer:

No

Brady is 5 cents short

Step-by-step explanation:

.75x3=$2.25

.40x2=0.80

$2.25+0.80=$3.05

Answer:

No

Step-by-step explanation:

3 brownies = $.75 * 3 = $2.25

2 cookies = $.40 * 2 = $.80

$2.25 + $.80 = $3.05, which is over $3

He is 5 cents short.

Hope this helped!

(and taxes of course)

Answer:

20 m by 10 m

Step-by-step explanation:

let w be width and l be length , then

2(l + w) = 60 ( divide both sides by 2 )

l + w = 30 ( subtract w from both sides )

l = 30 - w → (1)

lw = 200 → (2)

Substitute l = 30 - w into (2)

w(30 - w) = 200 ← distribute parenthesis on left side

30w - w² = 200 ( subtract 200 from both sides )

30w - w² - 200 = 0 ( multiply through by - 1 )

w² - 30w + 200 = 0 ← in standard form

(w - 10)(w - 20) = 0 ← in factored form

Equate each factor to zero and solve for w

w - 10 = 0 ⇒ w = 10

w - 20 = 0 ⇒ w = 20

Substitute these values into (1)

l = 30 - 10 = 20

l = 30 - 20 = 10

dimensions of field is 20 m by 10 m

Answer:

THIS IS THE REPRENTATION :I(LENGTH ),W(WIDTH)

2IW= 200

I,II USE THE SUBSTITUTION METHOD SINCE :I=30-W WE CAN SUBSTITUTE THE LENGTH TO 30

-W TO IW=200

(30-W)W=200

W2 + 30W=200---------------TRANSPOSE -w2

+30w

w2-30w +200 = 0------------------- USE FACTORING

(W-20)(w-10 =0----------------- THEN EQUATE EACH FACTOR TO ZERO

W- 20=0 W-10 =0

W=20 W=10

THEN SUBSTITUTE THE VALUE OF w TO ANY OF THE EQUATIONS TO GET THE VALUE OF I

Iw =200 Iw=200

I(20) =200 I(10)

I(20)/20= 200/20 I(10)/10

=200/10

I=10

Answer:

x= 9

Step-by-step explanation:

<2 + 40 + 40 = 180 degree

<2 = 180 - 40 - 40

<2 = 100

m<2 = x + 109

x = 109 - <2 = 109 - 100 = 9