The perimeter of a triangle is 21. The smallest side is 3. The 2nd side is twice the smallest side. The 3rd side is 6 more than the 2nd side. Write an equation to solve for the perimeter. Then find the ____ and ____.

Fill in the blanks.

Answer:

y = [tex]-\frac{4}{3}[/tex]x + 6

Step-by-step explanation:

y = mx + b

m: slope

b: y-intercept

y-intercept point on the graph is (0, 6) because it's the point that's on the y-axis.

Therefore, y-intercept is 6.

Slope: [tex]\frac{y_{2}-y_{1}}{x_{2}-x_{1}}[/tex]

Point A: (0, 6)

Point B: (4, -2)

Slope (m) = [tex]\frac{-2 - 6}{4 - -2}[/tex]

[tex]m = \frac{-2 - 6}{4 +2}[/tex]

[tex]m = \frac{-8}{6}[/tex]

[tex]m = -\frac{4}{3}[/tex]

y = [tex]-\frac{4}{3}[/tex]x + 6

Hope this helped! <3

Answer:

Δ MAN

reason: ASA

Step-by-step explanation:

if you look at the congruency marks you can see that ∡F ≅ ∡A and we know that ∡N ≅ ∡N

markings also show us that sides UF ≅ MA

therefore, we know two angles and one side for each triangle

Step-by-step explanation:

a)

first step: find the gradient slope of line AB

A(-1,-2) B(7,2)

gradient=change in y/change in x

M=[2-(-2)]/[7-(-1)

M=4/8

M=1/2

the gradient of the straight line is given by

M1*M2=-1

1/2*M2=-1

multiply both sides by the reciprocal of 1/2

2*1/2*M2=-1*2

M2= -2.

b)

first find the mind point of line AB

A(-1,-2) B(7,2)

M.P=(x1+x2)/2 ,(y+y2)/2

M.P=(-1+7)/2 ,(-2+2)/2

M.P=6/2 ,0/2

M.P=3,0

ALSO THE GRADIENT PERPENDICULAR TO LINE AB IS;

M= -2

equation of a line perpendicular to AB and passes through the midpoint of AB

Y-Y1=M(X-X1). (3,0). M=-2

y-0=-2(x-3)

y= -2x+6

Answer:

ill put them in order fof what they are from top to bottom

Step-by-step explanation:

5,2 ,1, 3, 4. and it starts from the 78 cents being equal to 5 they are in order.

Answer:

ok i guess...

Step-by-step explanation:

Answer:

Thank you so much!

Step-by-step explanation:

Answer: y = 2   x = -2

Step-by-step explanation:

-x + y = 4

x + 3y = 4

Since x and -x are opposite, we can use the system of elimination

To do that, we add the first equation and the second equation together

-x + y = 4

      +

x + 3y = 4

      ↓

4y = 8

Now we solve for y

4y = 8

Divide both sides by 4

y = 2

Since we now know y, we can solve for x by substituting y for 2 in one of the equations.

x + 3y = 4

Substitute y for 2

x + 3 (2) = 4

x + 6 = 4

Subtract 6 from both sides

x = -2

Hope I helped! And sorry if I repeated somethings.

Answer:

0+4=4

So new temperature was 4 degrees Celsius

Step-by-step explanation:

Answer:

The leg-to-hypotenuse ratio is 1/√2

The ladder represents the longest length in the triangle.

Step-by-step explanation:

The set up in the question will b a right angled triangle

Length of the ladder will be the hypotenuse

The distance from the base of the wall to the base of the ladder  is the adjacent

Height of the wall will be the opposite

Note that the longest side is always the hypotenuse (length of the ladder)

Given

length of the ladder = 12foot

The distance from the base of the wall to the base of the ladder = 6√2

The ratio of leg to hypotenuse = 6√2/12 = √2/2

√2/2 = √2/2 * √2/√2

√2/2 = √4/2√2

√2/2 = 2/2√2

√2/2 = 1/√2

Hence the leg-to-hypotenuse ratio is 1/√2

From the calculation the following are correct:

the leg-to-hypotenuse ratio is 1/√2

The ladder represents the longest length in the triangle.

Answer:

The leg-to-hypotenuse ratio is 1/√2

The ladder represents the longest length in the triangle.

The nonright angles are congruent

( B, D, E )

Step-by-step explanation:

Just did it on edge

Answer:

Angle Y < Angle Z

Step-by-step explanation:

Answer:

angle X < angle Y

Step-by-step explanation:

........

Answer:

3x

7-k

m/4

(5x)+12

Step-by-step explanation:

most of the words like and are just fillers. and basically means together in this instance

answer:

1/6, 0.25,  1/3,  5/12

step-by-step explanation:

whenever i have to order fractions least to greatest, i put them in decimal form. so 1/3 into a decimal would be 0.3333333; 5/12 into a decimal would be 0.4166666; 1/6 would be 0.1666666; and 0.25 is already a decimal. so it'd be 1/6, 0.25, 1/3, 5/12

Answer:

Step-by-step explanation:

Given the expression

3/5k - 5 = 7/10k

We are to find the value of k

Cross multiply

3(10k) = 7(5k-5)

30k = 25k - 35

30k - 25k = -35

5k = -35

k = -35/5

k = -7

Hence the value of k is -7

Answer:

B

Step-by-step explantion:

X is the amount of hours. Since they are charging 15 per hour you would have to multiply how many hours (x) by 15. Then add 40. And y equals the total amount pls mark brainliest

Answer:

2+b<18

Step-by-step explanation:

Answer:

1/12 5/12 11/12

Step-by-step explanation:

Um it was pretty obvious but...

Answer:

Linear

Step-by-step explanation:

It just is :)))))

Answer

It is $180

Step-by-step explanation:

You do 450 times 40% and you get $180

Answer:

yep

Step-by-step explanation:

ya you are right width is +5 and length is +2

Answer:

The slope of the line = m = 2

Step-by-step explanation:

Taking two points from the line graph

Determining the slope between (0, 0) and (1, 2)

Using the formula

Slope = m =  [y₂ - y₁] /  [x₂ - x₁]

               =  [2 - 0] / [1 - 0]

               = 2 / 1  

               = 2

Thus, the slope of the line = m = 2

Answer:

Step-by-step explanation:

1st one

Answer:

identity property of addition.

Step-by-step explanation:

basically it means any number plus zero is equal to the original number

x+0=x

Answer:

The answer will be number 1, idenity property of addition (:

Step-by-step explanation:

Answer:

57 for the third side

Step-by-step explanation:

a = √(c² - b²)

Answer:

Option B

Step-by-step explanation:

There are 1,000 people to start. It's growing by 2% every three year, so that would be 1.02%.

So p=1,000(1.02)^1/3

Answer:

b

Step-by-step explanation:

Answer:

(5, - 2)

Step-by-step explanation:

2x+y>3

x-y>1

2x + y > 3 - - - - (1)

x - y > 1 - - - (2)

Using trial and error method :

Using :

(5,-2)

2x + y > 3

2(5) + (-2) > 3

10 - 2 > 3

8 > 3 (true)

x - y > 1

5 - (-2) >1

5 + 2 > 1

7 > 1 (True)

For 0,5

2x + y > 3

2(0) + (5) > 3

0 + 5 > 3

5 > 3 (true)

x - y > 1

0 - (5) >1

-5 > 1

--5 > 1 (false)

Also, all other options do not hold true for bitb inequality statements, hence answer is (5, - 2)

Answer:

14, 21, or 28 would be the only answers I can think of

Step-by-step explanation:

7 teams of 2, 3, or 4 gives the answers

Answer:

Denial stage, personal behavior stressors, self fulfilling need, life situations, acceptance stage

Step-by-step explanation:

Answer:

$50

Step-by-step explanation:

5= 26+4=30

6=30+4=34

7=34+4=38

8=38+4=42

9=42+4=46

10=46+4=50

Rose would be saving 50 dollars after 10 months. At first Rose only had $10 in 0 months and $14 in the next month and again.This means that every month it adds up to another $4. If you want to find the total or 10 months keep on add 5 4 times which is 20. Then add 30 from the 0-5 months and which gives you $50. So Rose would be saving up 50 bucks in 10 months.

Answer:

whats the question?

Step-by-step explanation: