The sum of a number and its square is 42. which equation can be used to find the two numbers for which this is true? x2 x = 42 x2 2x = 42 x2 x 42 = 0 x2 2x 42 = 0

Answer:

[tex]y= \frac{3}{2}x+\frac{9}{2}[/tex]

Step-by-step explanation:

First find the slope: [tex]\frac{y_{2} - y_{1} }{x_{2} - x_{1} } = \frac{-3 - (3)}{-5-(-1)} = \frac{-6}{-4} = \frac{3}{2}[/tex]

Next use the point-slope fomula and one of the points to find the line:

[tex]y-y_{1} =m(x-x_{1} )[/tex] and the ordered pair (-1,3)

[tex]y-3=\frac{3}{2}(x-(-1))\\ y-3 = \frac{3}{2}(x+1)\\y-3=\frac{3}{2}x + \frac{3}{2}\\y=\frac{3}{2}x +\frac{3}{2}+3\\y = \frac{3}{2}x + \frac{9}{2}[/tex]

Answer:

4:13

Step-by-step explanation:

First as stated in the problem, mark is looking to find the ratio of Yellow rose bushes planted the Total amount of rose bushes planted; so therefor we must find the total amount of rose bushes planted first.

9+4 = 13.

13 will be our second number, since it is Yellow : total.

Then, we understand that mark plants 4 yellow rose bushes, so 4 is our first number.

Now; we can put our numbers together.

4 to 13 ; [tex]\frac{4}{13}[/tex] , or 4:13.

I really hope this helps! Have an amazing day!

Answer: There are a total of thirteen (13) rose bushes planted but specifically there are six (6) white, five (5) red, and two (2) yellow rose bushes.

Step-by-step explanation: I done it in my head to figure it out so, i hope this helps you have a good day love.

Answer:

answer = C) 3 x 10 x 16 = 480 cm³

If the square sum of the perpendicular and base is less than the square of hypotenuse then the angle will be an obtuse angle. Then the correct option is C.

The Pythagoras is the sum of the square of two sides is equal to the square of the longest side. And it is given as

P² + B² = H²

A triangle with side lengths of 6 cm, 10 cm, and 12 cm.

We know that if the square sum of the perpendicular and base is greater than the square of hypotenuse then the angle will be an acute angle.

Ans if the square sum of the perpendicular and base is less than the square of hypotenuse then the angle will be an obtuse angle.

Then we have

6² + 10² < 12²

Then the angle will be an obtuse angle.

More about the Pythagoras theorem link is given below.

https://brainly.com/question/343682

Answer: C

Explanation: Obtuse, because 6^2+10^2<12^2

breadth = 5cm

hope it helps...!!!

Answer:

volume V = 314.159265 cm³

Step-by-step explanation:

By formula, Volume is = (1/3)πr²h

0.33×3.14×12×12×5

is = 314.159265 m3

Other info

radius r = 5 m

height h = 12 m

slant height s = 13 m

volume V = 314.159265 m3

lateral surface area L = 204.203522 m2

base surface area B = 78.5398163 m2

total surface area A = 282.743339 m2

Hey there!

-5s = -13

DIVIDE -5 to BOTH SIDES

-5s/-5 = -13/-5

CANCEL out: -5/-5 because it give you 1

KEEP: -13/-5 because it help solve for the s-value

NEW EQUATION: s = -13/-5

SIMPLIFY IT!
s = 13/5

Therefore, your answer is: s = 13/5

Good luck on your assignment & enjoy your day!

~Amphitrite1040:)

Answer:

Step-by-step explanation:

Isolate the term of s from one side of the equation.

First, you have to divide by -5 from both sides.

→ -5s/-5=-13/-5

Solve.

Divide the numbers from left to right.

→ -13/-5=13/5

[tex]\Longrightarrow: \boxed{\sf{s=\dfrac{13}{5} }}[/tex]

I hope this helps! Let me know if you have any questions.

Answer:

From the graph   range = (-inf, + inf)

Step-by-step explanation:

range is the y values that the graph can have

Answer:

The area of prism is calculated by:(a+b)h/2

Answer:

D 7.42

Step-by-step explanation:

y = k x

40.81 = k ( 5.5)

k = 40.81/5.5 =

Answer:

angle HCG- 45/c

angle DF- 105/b

Step-by-step explanation:

m<HCG and m<ECD are opposite angles hence they are equal

Now

mDF=

w = 28

solving stepwise:

[tex]\dashrightarrow \sf \ \ 34-w=6[/tex]

[tex]\dashrightarrow \sf \ \ -w=6-34[/tex]

[tex]\dashrightarrow \sf \ \ -w=-28[/tex]

[tex]\dashrightarrow \sf \ \ w=28[/tex]

Answer:

Step-by-step explanation:

Given equation:

Substact 6 both sides:

Subtract 28 both sides:

Multiply -1 both sides:

The triangle with side lengths of 10 in., 12 in., and 15 in. is acute because 10^2 + 12^2 > 15^2

An acute angle is defined as the measure of an angle that is less than 90 degrees.

The side lengths of the triangles are 10, 12 and 15

The smallest side lengths are: 10 and 12

The sum of the squares of these side lengths is

[tex]10^2 + 12^2[/tex]

For the triangle to be acute, then the following must be true

[tex]10^2 + 12^2 > 15^2[/tex]

Evaluate the exponents

[tex]244 < 255[/tex]

The above inequality is true.

Hence, the triangle is acute because 10^2 + 12^2 > 15^2

Read more about triangles here;

brainly.com/question/17972372

Answer: 8/9

Step-by-step explanation: Math in the image

The sum of the fraction expression is equal to 5/(y+5) then the correct option is C.

A fraction number is a number that represents the part of the whole, where the whole can be any number. It is in the form of numerator and denominator.

The expression is given as

[tex]\rm \dfrac{3y}{y^2+7y+10} + \dfrac{2}{y+2}[/tex]

Then the sum of the expression is given as

[tex]\rm \rightarrow \dfrac{3y}{y^2+7y+10} + \dfrac{2}{y+2}\\\\\\\rightarrow \dfrac{3y}{(y+2)(y+5)} + \dfrac{2}{y+2}\\\\\\\rightarrow \dfrac{3y + 2(y+5)}{(y+2)(y+5)}\\\\\\\rightarrow \dfrac{5y+10}{(y+2)(y+5)}\\\\\\\rightarrow \dfrac{5(y+2)}{(y+2)(y+5)}\\\\\\\rightarrow \dfrac{5}{(y+5)}[/tex]

More about the fraction number link is given below.

https://brainly.com/question/78672

Answer:

C on edge 2022

Step-by-step explanation:

5/y+5

Answer:

Get the two equations for the lines into slope-intercept form. ... Set the two equations for y equal to each other.Solve for x. ... Use this x-coordinate and substitute it into either of the original equations for the lines and solve for y.

Step-by-step explanation:

Answer:

3/18 but if you have to simplify it, it would be 1/6

Answer:

Step-by-step explanation:

For each cube the probabilty of number 3 is 1/6 since it is one option out of 6 possible numbers.

The probability of same number on all three cubes is:

D

__________________________________

[tex](\frac{1}{2^3})^2[/tex]

[tex](\frac{1}{8})^2[/tex]

[tex]\frac{1}{64}[/tex]

__________________________________

[tex]Determine\ whether\ (\frac{2^0}{2^3})^2\ and\ \frac{1}{64}\ are\\ equivalent:[/tex]

[tex]True[/tex]

I hope this helps you

:)

Answer:

n = 3

Step-by-step explanation:

2 goes into 6, 3 times

Step-by-step explanation:

first of all, your teacher wrote nonsense in the answer options : an area is always given in squared units. never in cubed units (which would be volume).

the area is : 1/2 × perimeter × apothem

the perimeter is simply 12 × 5 = 60 meters.

apothem = (a/2)×cot(pi/12) = 5/2 × cot(pi/12) =

= 9.330127019... meters

so the area is

1/2 × 60 × 9.330127019... = 279.9038106... m²

therefore, the third answer option is correct (although it is m², and not m³).

by the way, you have question 3 wrong. I answered this with the correct apothem calculation in the explanation for question 4.

Answer: Find attached the workings in the picture.

Step-by-step explanation:

Answer:

we need to know how many students are in the class

if there are more boys, than the probability of picking a boy is higher, and if there is more girls, the probability of picking a girl is higher and if the amount of boys and girls are the same, then the probability of picking a girl or a boy is the same.

Step-by-step explanation:

Please mark my answer as brainliest

Answer:

f^(-1) (x) = (x-1)²+6    x≥6

Step-by-step explanation:

y=√(x-6) +1 original for the inverse x and y switch places because you are rflecting the function over the line y=x

y=√(x-6) +1 now the job is solve for y by using inverse operations. Think about undoing the equation.

x-1=√(y-6) subtract 1

(x-1)²=y-6 square both sides of the equation

(x-1)²+6=y add 6 to both sides

x≥6 because we are only using real numbers and if x is less than 6 you get a negative number under the square root sign.

Answer:

D imperfections

Step-by-step explanation:

i did the practice test:)

Answer:

The asnwer is D!^^

Step-by-step explanation:

The overall accuracy of the screening test for a newly discovered disease is being evaluated for this case is 87.78% approximately.

Accuracy of a test is the ratio of the correct results to the total results the test gives.

Thus, we have:

[tex]\rm Accuracy =\dfrac{\text{Total number of correct results}}{\text{Total number of results}} = \dfrac{TP + TN}{TP + FP + TN + FN}[/tex]

where T represents True, F represents False, N represents Negative, and P represents Positive. The negativity and positivity are the results of the test.

For this case, we're specified that:

(as each test result would be one of the TP, TN, FP, FN and these four no test result can lie in more than one of these categories).

Now, we have:

true results = TP + TN = 640 + 150 = 790

total results = 900

Thus, we get:

[tex]\text{Test accuracy} = \dfrac{TP + TN}{TP + FP + TN + FN} = \dfrac{790}{900} \approx 0.8778 = 87.78%[/tex]

Thus, the overall accuracy of the screening test for a newly discovered disease is being evaluated for this case is 87.78% approximately.

Learn more about accuracy of a test here:

https://brainly.com/question/21268478

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