An isosceles triangle has two sides of equal length. The third side is 5 less than twice the length of one of the other sides. If the perimeter of the triangle is 23 cm, what is the length of the third side?

Explain how you would define a variable for this problem.

Answers

Answer 1
An isosceles triangle has two sides of equal length. The third side is 5 less than twice the length of one of the other sides. If the perimeter of the triangle is 23 cm, what is the length of the third side?

Explain how you would define a variable for this problem.

Related Questions

HELP PLEASEE!!
Could I have the answers or step by step because I am stuck please tell me!! :)

Answers

Answer:

1)

[tex] \frac{19}{12} \: or \: 1\frac{7}{12} [/tex]

2)

[tex] \frac{5}{21} [/tex]

Which quadratic function in vertex form can be represented by the graph that has a vertex at (3, -7) and passes through the point (1, -10)?
I really need the answer QUICK please​

Answers

Answer:

Answer is D

Step-by-step explanation:

(3,-7) and (1,-10) belong toD Variant

The required function is [tex]y=-\frac{3}{4}(x-3)^2-7[/tex] , so the correct option is D.

Important information:

Vertex = (3,-7)Other point = (1,-10)Quadratic function:

The vertex form of a quadratic function is:

[tex]y=a(x-h)^2+k[/tex]

Where, [tex]a[/tex] is constant and [tex](h,k)[/tex] is vertex.

Substitute [tex]h=3,k=-7[/tex].

[tex]y=a(x-3)^2-7[/tex]        ...(i)

Graph passes through the point (1, -10). Substitute [tex]x=1,y=-10[/tex] in (i).

[tex]-10=a(1-3)^2-7[/tex]

[tex]-10+7=4a[/tex]

[tex]-3=4a[/tex]

[tex]\dfrac{-3}{4}=a[/tex]

Substitute [tex]a=-\dfrac{3}{4}[/tex] in (i).

[tex]y=-\frac{3}{4}(x-3)^2-7[/tex]

Therefore, the correct option is D.

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What is the value of X?

Answers

Answer:

[tex]x=45[/tex]

Step-by-step explanation:

Because the outer angles of a parallelogram always add up to [tex]360[/tex]°, the followijg equation can be used:

[tex]3x+x+3x+x=360→8x=360→x=45[/tex]

Michael buys some items at a grocery store.
4 boxes of cereal at $3.45 per box
1
-1 pounds of oranges at $3.98 per pound
2 gallons of fruit juice at $4.35 per gallon

Answers

What’s the question? How much he paid? 26.48

Match each expression to its exponential form.

Answers

Answer:

[tex]\frac{4^{2} }{2^{2} }[/tex] = 4

(8-4)x4 = [tex]4^{2}[/tex]

[tex]2^{2} +2^{2}[/tex] = 8

Step-by-step explanation:

To solve the first one simplify the exponents and then divide them; [tex]4^{2}[/tex] equals 16 and [tex]2^{2}[/tex] equals 4. Therefore the expression is 16/4, which equals 4.

Follow PEMDAS to solve the next one. First paratheses, (8-4) equals 4. Then, multiply by 4. 4x4 can also be rewritten as [tex]4^{2}[/tex].

Simplify the exponents to solve the last expression. [tex]2^{2}[/tex] is 4, so the expression is equal to 4+4, which is 8.

The vertices of parallelogram DEFG are E(-1,4) F(5,6) and G (8,0). Find the coordinates of D

Answers

Answer:

The coordinates of D are (2,-2)

Step-by-step explanation:

The coordinates of point D are (2,-2)

The coordinates of the parallelogram are given as:

E(-1,4),  F(5,6) and G (8,0)

For the coordinates to represent a parallelogram, the following must be true

[tex]x_D - x_E = x_G - x_F[/tex]

[tex]y_D - y_E = y_G - y_F[/tex]

So, the equations become

[tex]x_D -(-1) =8-5[/tex] and

[tex]y_D -4 =0-6[/tex]

Solve for x and y in the above equations

[tex]x_D -(-1) =8-5[/tex]

[tex]x_D +1 = 3[/tex]

[tex]x_D = 3-1[/tex]

[tex]x_D = 2[/tex]

[tex]y_D -4 =0-6[/tex]

[tex]y_D - 4 = -6[/tex]

[tex]y_D = 4-6[/tex]

[tex]y_D =-2[/tex]

Hence, the coordinates of point D are (2,-2)

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Rosa deposits $5000 in a savings account that gets compounded interest annually at a rate of 8%. If she leaves her money in the account for 2 years, how much will she have at the end of that time?

Answers

Answer:

$5318

Step-by-step explanation:

First, converting R percent to r a decimal

r = R/100 = 4%/100 = 0.04 per year,

then, solving our equation

I = 2650 × 0.04 × 3 = 318

I = $ 318.00

The simple interest accumulated

on a principal of $ 2,650.00

at a rate of 4% per year

for 3 years is $ 318.00.

Juan's mother gave him a recipe for trail mix.

3
4
cup cereal
2
3
cup almonds
1
3
cup raisins
1
2
cup peanuts

Order the ingredients used in the recipe from least to greatest.

Answers

Answer:

Cereal 3/4, Almonds 2/3, Raisins 1/3, Peanuts 1/2

Step-by-step explanation:

This is in The order from Least to Greatest and i hope this helps you i had to do a little thinking about it first. :)

20 divided by c write an algebraic expression for the word expression ​

Answers

Step-by-step explanation:

The algebraic expression is

20

----

c

or

20/c

x-4(3-2x) =3(3x+4) is this many soultions no solutions

Answers

No solutions. It would be: 9x-12=9x+12. The difference is that one of the 12’s is negative and one is positive. Hope this helps! Have a great day :)

Derrick needs to sell a minimum of 100 orders each month to make it into the sales winners circle. He has already sold 45 orders this month. He still needs to sell s more orders. Which inequality can be used to find the possible values for s? s−45>100
s−45<100 s+45≤100 s+45≥100

Answers

Answer:

s+45≥100

Step-by-step explanation:

"A minimum of" means either the same amount or more. So, the total amount he sells (s + 45) needs to be greater than or equal to 100.

Find the missing angle:
40°
?

Answers

Answer:

50

Step-by-step explanation:

180 − ( 90 + 40 )

180 − 130

50

50 degrees is the missing angle in the triangle

The given triangle is right angle triangle

One angle is 90 degrees and the other angle in the triangle is 40 degrees

We have to find the missing angle in the triangle

By angle sum property the sum of the three angles is 180 degrees in the right triangle

Let x be the missing angle

90+40+x=180

130+x=180

Subtract 130 from both sides

x=180-130

x=50 degrees

Hence, the missing angle in the triangle is 50 degrees

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Really stuck on this question plz help!

Answers

Answer:

a) 6:51

b)6:42

c)49 mins

Step-by-step explanation:

plzzz help me im trustin yall

Answers

Answer:

B

Step-by-step explanation:

(8x + 8)(x + 3) = [tex]8x^{2} +24x+8x+24[/tex] = [tex]8x^{2} +32x+24[/tex].

(8x+8)(x+3). 8x*X+8x*3+8*x+8*3. 8x^+24x+8x+24. 8x^+32+24. Answer is B

s=2πcx+3πc^2 solve for x

Answers

Answer:

x = (s - 3πc^2) / 2πc.

Step-by-step explanation:

s = 2πcx + 3πc^2

2πcx  = s - 3πc^2

x = (s - 3πc^2) / 2πc.

solve the equation for all values of x by completing the square
[tex] {x}^{2} - 35 = - 2x[/tex]

Answers

Answer:

x=5  x= -7

Step-by-step explanation:

X=5
X=7
Hope that it is right

A total of 110 gallons of water can follow through Hose B in minutes. Which hose has a faster water ow rate, in gallons per minute, and what is that rate?

Answers

Answer:

Hose B

Step-by-step explanation:

Charles needs to fill a large fish tank with water using a hose. he has two hoses from which to choose. Water flows through each hose at a constant rate. The graph below shows the amount of water, in gallons , that flows through holes A based on the number of minutes used. A total of 110 gallons of water can flow through Hose B in 10 minutes. Which hose has a faster water rate, in gallons per minute, and what is that rate?

Solution:

The equation of a linear function is:

y = mx + b

where m is the rate of change and b is the initial value of y.

The equation of a line passing through two points [tex](x_1,y_1)\ and\ (x_2,y_2)[/tex] is given by:

[tex]y-y_1=\frac{y_2-y_1}{x_2-x_1} (x-x_1)[/tex]

Let y represent the amount of water in gallons and let x represent the time in minutes.

For hose A, we can see that the graph passes through the point (0, 0) and (2, 12). Hence:

[tex]y-0=\frac{12-0}{2-0}(x-0) \\\\y=6x[/tex]

Therefore hose A has a flow rate of 6 gallons per minute.

110 gallons of water flow through hose B in 10 minutes. Therefore:

Flow rate of hose B = 110 gallons / 10 minutes = 11 gallons per minute

Therefore hose B has a higher flow rate

PLEASE HELP!!!
The expression 4(1.20)t represents the population of rabbits each year. If x% represents the growth rate for the population of the rabbits each year, what is the value of x?

Answers

The growth rate for the population of the rabbits each year is 20%

What is an exponential equation?

An exponential equation is an expression that shows how numbers and variables using mathematical operators.

Exponential exponential is in the form:

y = abˣ

Where a is the initial value and b is the multiplication factor.

Given the expression [tex]4(1.20)^t[/tex] represents the population of rabbits each year. If x% represents the growth rate, hence:

b = 1.20

growth rate = 1.20 - 1 = 0.20

growth rate = 20%

The growth rate is 20%

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Charlotte and Edgar's ages add up to 22. Charlotte is one year
older than twice Edgar's age.
How old are Charlotte and Edgar? Show all of your work and/or
reasoning.

Answers

Answer: Charlotte's 15 and Edgar's 7

Step-by-step explanation:

7*2=14

14+1 = 15

15 + 7 = 22

The restaurant bill you and your friend received was not itemized. You ordered 2 slices of waffles and 2 grand slams, for a total of $10.50. Your friend ordered 3 waffles and the one grand slam for $6.75.


(a) Write a system of equations for the situation. (Use w for the amount charged for a waffles and g for the amount charged for the grand slam.)


(b) Graph the equations in the system.


(c) Use your graph to estimate how much each item cost.

Answers

Answer:

Step-by-step explanation:

The system would be 2w+2g=10.50 and 3w+g=6.75 because w is waffles and g is grand slam then you need to isolate w and graph or you could use desmos if you teacher permits to graph

MARKING BRAINLIESTPLZZ HELP ME W MY MATH

Answers

Answer:

As BVC is similar to RJC

from BV/RJ=BC/RC=Y/8=13.5/9=108/9=12

Y=12

(14 plus 42)divided by 7plus4 to the 2power

Answers

Answer:

Given info in numersical form:

(14+42)÷(7+4)²

= 56÷11²

= 56÷(11×11)

= 56÷121

= 0.46

4/10 + 1/2 please help-

Answers

Exact Form:

9 /10

Decimal Form:

0.9

Hope this helps :)

Answer:

4/10 + 1/2 would be 9/10 because 1/2 of 10 is 5 so 5/10 +4/10 would equal 9/10 hope that helps :)

Step-by-step explanation:

On a road, a bike sign in the shape of an isosceles trapezoid is to be painted. The sign and its dimensions are shown below. What is the area of the sign?




a 24 square feet
b 28 square feet
c 32 square feet
d 36 square feet

Answers

Answer; B. 36 units
Explanation; the last two numbers multiply then add the first one

Answer:

36 square feet would be your answer

Which of the following edges is parallel to AB?

DT
BC
QR
BR

Answers

Answer:

QR

Step-by-step explanation:

Other than all opposite pairs of sides are parallel, all other segments intersect at a point.

Answer:

QR

Step-by-step explanation:

QR is parallel to AB because it is going in the same direction as QR is, and the other answer choices are incorrect.

what is 5/18 divided by 2/6

Answers

Answer:

0.02314814814 ooooorrrrr...... as a fraction..... 5/6

Step-by-step explanation:

I hope this helps!!!!!!!! PLEASE MARK ME BRANILIEST!!!!

Answer:

5/6 ( I think )

Step-by-step explanation:

Way 1. All you have to do is make the fractions into decimals, then divide, and finally change you final decimal back into a fraction!

Way 2. Change the division into multiplication ( to do that flip the second fraction)--> 5/18 x 6/2 then multiply!

If I'm wrong just use the info I gave you, and try it yourself!

I hope this helps, and have a great day!

P.S. Way 2 is easier than Way 1!

I need help please (brainllest)

Answers

Answer:

Plant A: y=x+4

Plant B: y=1/3x+6

Answer:

Plant A: 1x + 4 = y; Plant B: 1/3x + 6 = y

Step-by-step explanation:

Which function is best represented by this graph?

Answers

Answer:

J

Step-by-step explanation:

The y-intercept is 3, and the slope is -1/2

Answer: G

the formula is y= mx+c

y -intercept (c) is what number it passes on the y-axis which is 3

to find gradient you need to form a triangle of any choice using the line so I did 4 across and 2 down , you put that into a fraction 2/4 which is 2 and I've done it upside down so it will be -2

what is 25.15/179.30 simplified as a fraction please help i suck at math
ill mark you brainliest

Answers

Answer:

503

------

3586

Step-by-step explanation:

that's as small as I can get it

Factor this polynomial.
-3x² - 6x-2

Answers

Answer:

Doesn't factor

Step-by-step explanation:

We have a polynomial and are asked to factor it.

A rule I like to follow when factoring polynomials is what two numbers multiply to equal c (in this case -2) and add up to b (in this case -6x).

Since no two numbers are eligible to do this, therefore this polynomial is unfactorable.

Answer: -7 x2 -3x2

Step-by-step explanation:

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