Triangle IHJ is similar to triangle RST.
What is the length of side _
RT

Answer:

The solutions to the quadratic equations are:

[tex]x=\sqrt{13}+3,\:x=-\sqrt{13}+3[/tex]

Step-by-step explanation:

Given the function

[tex]y\:=\:x^2\:-\:6x\:-\:4[/tex]

substitute y = 0 in the equation to determine the zeros

[tex]0\:=\:x^2\:-\:6x\:-\:4[/tex]

Switch sides

[tex]x^2-6x-4=0[/tex]

Add 4 to both sides

[tex]x^2-6x-4+4=0+4[/tex]

Simplify

[tex]x^2-6x=4[/tex]

Rewrite in the form (x+a)² = b

But, in order to rewrite in the form x²+2ax+a²

Solve for 'a'

2ax = -6x

a = -3

so add a² = (-3)² to both sides

[tex]x^2-6x+\left(-3\right)^2=4+\left(-3\right)^2[/tex]

[tex]x^2-6x+\left(-3\right)^2=13[/tex]

Apply perfect square formula:  (a-b)² = a²-2ab+b²

[tex]\left(x-3\right)^2=13[/tex]

[tex]\mathrm{For\:}f^2\left(x\right)=a\mathrm{\:the\:solutions\:are\:}f\left(x\right)=\sqrt{a},\:-\sqrt{a}[/tex]

solve

[tex]x-3=\sqrt{13}[/tex]

Add 3 to both sides

[tex]x-3+3=\sqrt{13}+3[/tex]

Simplify

[tex]x=\sqrt{13}+3[/tex]

now solving

[tex]x-3=-\sqrt{13}[/tex]

Add 3 to both sides

[tex]x-3+3=-\sqrt{13}+3[/tex]

Simplify

[tex]x=-\sqrt{13}+3[/tex]

Thus, the solutions to the quadratic equations are:

[tex]x=\sqrt{13}+3,\:x=-\sqrt{13}+3[/tex]

Answer: 12.57

Step-by-step explanation:

Answer:

20,since each kilo of rice fills two bags so he i'll have 40 bags.

Answer:

x=3

Step-by-step explanation:

-3x= -9

x= -9/-3

x=3

bring the -3 to right side and than divide

Answer:

The greatest number of arrangements that he can make if every balloon is used is 8.

Step-by-step explanation:

The greatest number of arrangements will be the greatest common factor between 24 and 32.

GCF of 24 and 32:

We keep factoring both numbers by prime factors, while they can both be divided by the same number. So

24 - 32|2

12 - 16|2

6 - 8|2

3 - 4

There is no factor for which we can divide both 3 and 4. So the GCF is 2*2*2 = 8.

This means that the greatest number of arrangements that he can make if every balloon is used is 8.

Answer:

24 bags can be made from three 5 pounds bags.

Step-by-step explanation:

Given that:

Three 5 pound bags are donated.

Total weight of bags = 3*5 = 15 pounds

We know that:

1 pound = 16 ounces

15 pounds = 16*15 = 240 ounces

A bag weighs 10 ounces.

Number of bags = [tex]\frac{240}{10}[/tex]

Number of bags = 24 bags

Hence,

24 bags can be made from three 5 pounds bags.

A: 8,512

Any number with the 5 in the thousandths place value would be your answer.

Answer:

17n=-4 ÷17

n=-0.235

Step-by-step explanation:

prove me wrong

Answer:

A. Store A will cost about $1.28 less

Step-by-step explanation:

Store A:

Unit rate = y/x

Using any given pair, say (3, 7.26),

Unit rate = 7.26/3 = $2.42 per gallon

So, of a customer is buying 16 gallons at Store A, he'd pay:

$2.42 * 16 = $38.72

Store B:

Unit rate = y/x

Using any point on the graph, say (20, 50),

Unit rate = 50/20 = $2.5 per gallon

So, of a customer is buying 16 gallons at Store B, he'd pay:

$2.5 * 16 = $40.

Cost of Store B - Cost of Store A = $40 - $38.72 = 1.28

This means that Store A cost about $1.28 less

Answer:

52 inches

Step-by-step explanation:

4×13=52 inches

Answer:

The table is not a straight line.

Step-by-step explanation:

it is curved

hi hi hihiihihihihihihihihiih

Answer:

Standard form is a way of writing down very large or very small numbers easily. 103 = 1000, so 4 × 103 = 4000 . ... This idea can be used to write even larger numbers down easily in standard form. Small numbers can also be written in standard form.

Step-by-step explanation:

Answer:

ax+by=c

Step-by-step explanation:

this is standard for, if that's what you'e asking for

Answer:

y < 25x , or y = kx { where k < 25 } , or choosing a time saving worker {as fee is in terms of hours}

Step-by-step explanation:

Services cost : y = 25x , where y is the total fee and x is the number of hours worked.

If customer is looking to choose the less expensive cleaning service ; he / she has following options -

Answer:

a=30  b=30 c= 75

Step-by-step explanation:

By inferring that all triangles are the same measurments, you can easily knock out A and B since it is the same angle that is labeled 30 degrees.

Now to find C you need to know that all angles of a triangle add up to 180 degrees. You also need to know that both bottom angles are the same angle measurement, indicated by the little circle in the angle.

So, For the middle triangle you can create an equation. 30(which was b) + 2c = 180

Subtract 30 from both sides and you are left with:

2c = 150

Divide by 2 on each side:

c= 75

Answer:

4.7 (does not =) 2.8125

Step-by-step explanation:

Divide 9/3.2

Answer:

The answer would be C

Step-by-step explanation:

The reason it is C, is because, if you add 13 to 3, you would get 16. Then, by dividing that by 2, you would get the desired answer of 8.

Answer:

c

Step-by-step explanation:

I just know because I worked it out on paper

Answer:97.1

Step-by-step explanation:

Answer:

97.1

Step-by-step explanation:

the 10th is the first decimal place with the second being 100th then 1000th and so on.

so since the number after it is an 8 we round it up to 1

Answer:

b: 110.43

a:90.34

h:89.99

Step-by-step explanation:

check my image

Answer: 12250 Grams

Step-by-step explanation:

1 Kilogram = 1000 grams.

12 Kilograms x 1000 Grams = 12000 Grams.

1/4 = 0.25

0.25 Kilograms x 100 Grams = 250 Grams

12000 + 250 = 12250.

Answer: 12250 Grams.

Answer:

Response Error

Step-by-step explanation:

Given:

Multiply: [tex](3x-5)(-x+4)[/tex].

To find:

The simplified product in standard form.

Solution:

We have,

[tex](3x-5)(-x+4)[/tex]

Applying the distributive property, the expression becomes

[tex]=(3x)(-x)+(3x)(4)+(-5)(-x)+(-5)(4)[/tex]

[tex]=(-3x^2)+12x+5x+(-20)[/tex]

On combining like terms, we get

[tex]=-3x^2+(12x+5x)-20[/tex]

[tex]=-3x^2+17x-20[/tex]

Therefore, the simplified product in standard form is [tex]-3x^2+17x-20[/tex].

Answer:

slope: [tex]\frac{13}{4}[/tex]

Step-by-step explanation:

The average rate of change of h(t) = -16t ² + 40t + 4 between t = 0 and t = 2 is

(h (2) - h (0)) / (2 - 0) = ((-16×2² + 40×2 + 4) - (-16×0² + 40×0 + 4)) / 2

… = ((-64 + 80 + 4) - 4) / 2

… = 16 / 2

… = 8

h(t) is measured in feet, so the average rate of change is measured in feet per second, so it's 8 feet per second.

Answer:

Step-by-step explanation:

We will use a proportion to solve this.

x/y = x/y

let x = the number of families in each case

let y = the number of plants in each case

Since we don't know the second y, we will leave that as y and solve for it.

50/150 = 65/y

Cross-multiply

50y = 9750

Divide

195  = y

Now, we can check this by substituting the value of y back into the equation and seeing if both sides equal.

50 (195) = 9750

9750 = 9750 ✅

Answer:

3x - 5y = 17

3(9) - 5(2) = 17

27 - 10 = 17

x = 9

y = 2

---------------------

9x - 15y = -4

I believe this equation has no proper solution. Every "solution" I have found ends with repeating decimals & fractions.

Answer: each of two complex numbers having their real parts identical and their imaginary parts of equal magnitude but opposite sign.

Step-by-step explanation:

Answer:

In mathematics, the complex conjugate of a complex number is the number with an equal real part and an imaginary part equal in magnitude, but opposite in sign.

Step-by-step explanation:

Answer:

57 miles

Step-by-step explanation:

342÷6= 57

I hope this helped you out, if it did please mark my answer as brainliest. I will be so grateful.

Answer:

{y, x} = {-5, -2}