In an isosceles triangle, the legs can be represented by the expression 6x + 8 and the base can be represented by 2x – 6. Find the perimeter of this triangle by adding all three lengths of the triangle. Suppose the height of the triangle can be expressed as 4x + 2. Find the area of the triangle.

Answers

Answer 1

Answer:

x = 3.5; perimeter = 59; area = 8

Step-by-step explanation:

isosceles means the two legs equal each other so use same expression later on

6x + 8 = 2x - 6

6x - 2x = -8 - 6

4x = -14

x = 3.5

plug x value in the first expression to find the two sides that are equivalent to each other

6(3.5) + 8

21 + 8

29

plug x value into the second expression (the base)

2(3.5) - 6

7 - 6

1

perimeter = side 1 + side 2 + side 3

perimeter = 29 + 29 + 1

perimeter = 59

area = base × height/2 or bh/2

first plug in x value into height expression

4x + 2

4(3.5) + 2

14 + 2

16

area = 1 × 16/2

area = 16/2

area = 8


Related Questions

I need help with this question.

Answers

Vertical angles are two angles that touch each other at a single vertice, so the answer is angle UTW and angle STR.

The price of an item yesterday was $105. Today, the price fell to $42. find the percentage decrease

Answers

Answer:

60%

Step-by-step explanation:

105-42=63

63/105 = 3/5

3/5=60%

Answer:

The answer is 63

Step-by-step explanation:

105-42= 63

Which of the following is a point-slope equation for a line with the point (-2,4) and a slope of three

Answers

y=3x+4

hope this helps

The number of meters a student swam this week are listed.

200, 450, 600, 650, 700, 800

What is the appropriate measure of variability for the data shown, and what is its value?

The range is the best measure of variability and equals 600.
The IQR is the best measure of variability and equals 250.
The mean is the best measure of variability and equals about 567.
The median is the best measure of variability and equals 625.

Answers

Answer:

Step-by-step explanation:

800 - 200 = 600 = range

Inter Quartile Range is hard to measure.

566 2/3 = mean = close enough to 567

The term 625 does not exist

What is the value of the function f left parenthesis x right parenthesis equals 20 x when x equals 0.25?

Answers

Answer:

Step-by-step explanation:

Answer:

Step-by-step explanation:

Answer is c

2
Q
How much money altogether?
one $5 bill
two $1 bills
three quarters
two dimes
one nickel

Answers

the money altogether is 8.00$

The average number of claims per hour made to an insurance company is 3.

a. What is the probability that over the next hour 4 claims will be placed?

b. What is the probability that over the next 3 hours 6 claims will be placed?

Answers

Step-by-step explanation:

We have it that x follows a poisson distribution.

λ is equal to 3

The poisson distribution is given by:

P(x) = e^-λ * λ^X/X!

λ = 3

X = 4

A. The question had already given us the X value to be 4

p(x = 4)

= e^-3 x 3⁴/4!

= e^-3 = 0.001

3⁴= 34

4! = 81

putting all values into p(x=4)

= .001x81/24

= 0.1680

b. for 3 good hours, we will have lamda to be;

3x3 = 9

p(x = 6)

= e^-9 * 9⁶/6!

= 0.0911

point S is located at -1 on the number. point T is located at 6 on the number line What is the distance between point s and point t on the number lines?

Answers

The Distance between point S and point T on the number line is 7 units. The units could be inches, centimeters, meters, or any other unit of measurement depending on the scale of the number line that is being used

The number line is a geometric representation of the actual number system. It can be a great aid in visualizing math problems. When we use a number line to locate two points, it helps us to determine the distance between them, as well as to measure the magnitude of the numbers.

We can also use the number line to help us add and subtract values. Now, to find the distance between point S and point T on the number line, we can use the following formula:

Distance between two points = Absolute value of (coordinate of point T - coordinate of point S)In our given problem, we are given that point S is located at -1 on the number line and point T is located at 6 on the number line. We can plug these values into the formula:

Distance between two points = Absolute value of (6 - (-1)) = Absolute value of (6 + 1) = Absolute value of 7 = 7 units

Therefore, the distance between point S and point T on the number line is 7 units. The units could be inches, centimeters, meters, or any other unit of measurement depending on the scale of the number line that is being used.

For more questions on Distance .

https://brainly.com/question/30395212

#SPJ8

whats 1 +1 please halp

Answers

Answer: 2

Step-by-step explanation: I did it for the points!

SOMEONE PLZ HELP I AM IN NEED

Answers

Answer:

x + 278 = 450; x = 172

Step-by-step explanation:

Answer:

B-172

Step-by-step explanation:

All I did was add the 2 given sides then subtract that from the perimeter. Then, I got 172 and you don't even have to worry about the equation in the answer choices because it's just there to throw you off once you have the answer your good.

HOPE THIS HELPS!

Y= 5/2x -5 solve for y

Answers

Answer:

y = -5

Step-by-step explanation:

y = 5/2x -5

Substitute x = 0

y = 5/2 x 0 -5

Solve the equation.

y = -5

43 points! Please Solve!

Answers

Answer:

Omg I love these problems!

x= 14

y= 5

Step-by-step explanation:

X:

(angle coa is equal to angle bod, both 25)

(Angle mod is a right angle, equal to 90)

3x+23 +25= 90

3x+48= 90

3x=42

x= 14

y:

(angle aol is right angle: 90)

(aob is 180 (straight line), so aol plus lob is 180)

90+ 5y + (3(14)+23) = 180

155 +5y= 180

5y= 25

y= 5

Please tell me if this is correct, I did not check my work. If it is, brainliest?

Solving the equation

Answers

Answer:

-1

Step-by-step explanation:

We need to isolate x.

When we do so, we want it to be a positive term.

-x = 28

To get the x term positive, we divide both sides by -1.

x = -28

Answer:

[tex]\huge\boxed{-1}[/tex]

Step-by-step explanation:

In order to solve an equation, our goal is to isolate the variable on one side of the equation.

As of now, we have [tex]-x = 28[/tex]

This is the exact same thing as [tex]-1x = 28[/tex], since a negative sign also means you multiply it by -1.

We want to divide both sides by the coefficient on x so that we have x, positive and isolated, on one side of the equation.

Therefore we want to divide by -1.

Hope this helped!

Simplify x^2×(x^3÷x^-2/x^2÷x^-3)​

Answers

Answer:

x^8

Step-by-step explanation:

Simplify the following:

(x^2 x^3)/(x^(-2) x^2 x^(-3))

Multiply the numerator of (x^3)/((x^2)/(x^2) x^(-3)) by the reciprocal of the denominator. (x^3)/((x^2)/(x^2) x^(-3)) = (x^3 x^3)/((x^2)/(x^2)):

x^2 (x^3 x^3)/((x^2)/(x^2))

(x^3 x^3 x^2)/((x^2)/(x^2)) = x^2/x^2×(x^3 x^3)/x^(-2) = (x^3 x^3)/x^(-2):

(x^3 x^3)/x^(-2)

Combine powers. (x^3 x^3)/x^(-2) = x^(3 + 3 + 2):

x^(3 + 3 + 2)

3 + 3 + 2 = 8:

Answer: x^8

$20.80 → rounds to $

Answers

Answer:

$21.00

Step-by-step explanation:

$20.80 rounds off to $21

What is the slope of this line

Answers

Answer:

[tex]\boxed {m = \frac{3}{2}}[/tex]

Step-by-step explanation:

To determine the slope of the following line shown on the graph, you need to use the Slope Formula:

[tex]m = \frac{y_{2}- y_{1}}{x_{2} - x_{1}}[/tex]

(where [tex](x_{1}, y_{1})[/tex] represents the first point and [tex](x_{2}, y_{2})[/tex] represents the second point)

-The points I found on the graph are [tex](-3, -3)[/tex] and [tex](-1, 0)[/tex]. Then, apply them onto the formula:

[tex](x_{1}, y_{1}) = (-3, -3)[/tex]

[tex](x_{2}, y_{2}) = (-1, 0)[/tex]

[tex]m = \frac{-3 - 0}{-3 + 1}[/tex]

-Solve:

[tex]m = \frac{-3 - 0}{-3 + 1}[/tex]

[tex]\boxed {m = \frac{3}{2}}[/tex]

Therefore, the slope is [tex]\frac{3}{2}[/tex].

The shaded area is 54pi cm^2, and the radius is 12 cm.

Find X

Answers

54=(X/360)× πr²

54=(X/360)× 3.14(12)²

54=(X/360)×452.16

X =54÷452.16×360

X =42.99(2 d.p)

Given h(x)=4x-5, find h(2)

Answers

Answer:

h(x)=3

,,,,,/\

Answer:

H(2)=3

Step-by-step explanation:

H(2) basically means x=2. So what you do is insert 2 for x and you equation now reads 4(2)-5

Then you multiply 2 by 4 to get 8-5

and 8-5 =3

Hope this helps

Devin works out 3 times a week. If he works out 3
times every week, how many times will he work
out in 9 weeks?

Answers

Answer:

27

Step-by-step explanation:

Answer:

27

Step-by-step explanation:

27÷3=9 9x3=27

Help me with this question

Answers

D is the correct answer

(3.07A MC)

The graph shows two lines, A and B:

A graph is shown with x and y axes labeled from 0 to 6 at increments of 1. A straight line labeled A joins the ordered pair 2, 6 with the ordered pair 5, 0. Another straight line labeled B joins the ordered pair 0, 2 with the ordered pair 6, 6.

Based on the graph, which statement is correct about the solution to the system of equations for lines A and B?

(3, 4) is the solution to both lines A and B.
(3, 4) is the solution to line A but not to line B.
(0, 2) is the solution to both lines A and B.
(0, 2) is the solution to line A but not to line B.

Answers

Answer:

(3, 4) is the solution to both lines A and B.

Step-by-step explanation:

Given

Line A with points (2, 6) and (5, 0)Line B with points (0, 2) and (6, 6)

Lets get the equations for both lines

Line A

y = mx + bm = (0 - 6)/( 5 - 2) = -26 = 2*(-2) + b ⇒ b = 6+ 4 = 10y = - 2x + 10

Line B

m = (6 - 2)/( 6 - 0) = 4/6 = 2/3b = 2 as per point (0, 2)y = 2/3x + 2

We got two equations:

y = -2x + 10 y = 2/3x + 2

Solving the system:

-2x + 10 = 2/3x + 28/3x = 8x = 3 ⇒ y = 4(3, 4)

Verifying answer options

(3, 4) is the solution to both lines A and B. YES(3, 4) is the solution to line A but not to line B.  NO(0, 2) is the solution to both lines A and B.  NO(0, 2) is the solution to line A but not to line B. NO

Answer:

(3, 4) is the solution to both lines A and B.

Step-by-step explanation:

1 2/9 x 1 4/5 please quick I have 5 minutes

Answers

Answer:

2 &1/5

Step-by-step explanation:

there u go good luck with whatever ua re doing

Answer:

11/5 is your answr fraction form.or 2.2 in decimal form

What is answer to
-2 (x+3) < 4x -7

Answers

x>1/6
That’s the answer

A farmer is traveling down a trail with his dog (who is always hungry), two geese (who are also
always hungry), and three bags of grain. Soon, the trail leads into a river but begins again on
the other side. To get to the other side the farmer must wade across the river yet he can only
carry two of his six possessions at a time. The farmer knows that, if left together, the dog will
eat any or all of the geese and any of the geese will eat all the grain they can. How can the
farmer get all of his possessions to the other side of the river safely and uneaten?

Answers

Answer:

Carry the grain first, then his dog.

Step-by-step explanation:

The geese are geese. They can swim.

The Smelting Department of Kiner Company has the following production and cost data for November. Production: Beginning work in process 2,000 units that are 100% complete as to materials and 20% complete as to conversion costs; units transferred out 9,000 units; and ending work in process 7,000 units that are 100% complete as to materials and 40% complete as to conversion costs. Compute the equivalent units of production for (a) materials and (b) conversion costs for the month of November.

Answers

Answer:

a. 16000 units

b. 11800 units

Step-by-step explanation:

A.

To get equivalent units of production for materials

Add up the units transferred out + ending work in progress

= 9000 units + 7000 units

= 16000 units

B.

To get conversion cost for November:

Units that are transferred out + (ending work in progress * % of conversion)

= 9000 + (7000 x 40%)

= 9000 + 2800

= 11800 units

The answers are therefore

1. 16000units

2. 11800 units

In an annual report to investors, an investment firm claims that the share price of one of their bond funds had very little variability. The report shows the average price as $18.00 with a variance of 0.11. One of the investors wants to investigate this claim. He takes a random sample of the share prices for 10 days throughout the last year and finds that the standard deviation of the share price is 0.1448. Can the investor conclude that the variance of the share price of the bond fund is different than claimed at α=0.1? Assume the population is normally distributed.
State the null and alternative hypotheses. Round to four decimal places when necessary.

Answers

Answer:

.

Step-by-step explanation:

You choose one spade, one club, one heart, and one diamond from a standard deck of playing cards. Count the number of elements in the event that each card has a different face value.

Answers

Answer:

17,160

Step-by-step explanation:

A ball is thrown upward with an initial velocity of 60 mph. it is thrown from a height of 5 feet. what is the maximum height it reaches?

Answers

Answer:

h = 61.25 m

Step-by-step explanation:

It is given that,

The initial velocity of the ball, v = 60 m/s

It is thrown from a height of 5 feet, [tex]h_o=5\ ft[/tex]

We need to find the maximum height it reaches. The height reached by the projectile as a function of time t is given by :

[tex]h=-16t^2+vt+h_0[/tex]

Putting all the values,

[tex]h=-16t^2+60t+5[/tex] .....(1)

For maximum height, put

[tex]\dfrac{dh}{dt}=0\\\\\dfrac{-16t^2+60t+5}{dt}=0\\\\-32t+60=0\\\\t=\dfrac{-60}{-32}\\\\t=1.875\ s[/tex]

Put t = 1.875 in equation (1)

[tex]h=-16(1.875)^2+60(1.875)+5\\\\h=61.25\ m[/tex]

So, the maximum height reached by the ball is 61.25 m.

6 - 3x = 5x - 10x + 8

Answers

Answer:

x=1

Step-by-step explanation:

6-3x=5x-10x+8=

move all terms to the left:

6-3x-(5x-10x+8)=0

add all the numbers together, and all the variables

-3x-(-5x+8)+6=0

get rid of parentheses

-3x+5x-8+6=0

add all the numbers together, and all the variables

2x-2=0

move all terms containing x to the left, all other terms to the right

2x=2

x=2/2

x=1

Is throw right ASAP

Answers

Answer: No it is not.

Step-by-step explanation:

All linear functions can be written in the form y = mx + b, where m is the slope and b is the y-intercept (slope-intercept form). Alternatively, a linear function can be expressed in the form y – y0 = m(x – x0), where m is the slope and (x0, y0) is a point on the line (point-slope form).

Answer:

yes: it has a variable  X

Step-by-step explanation:

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