40 POINTS- please help me

Answer:

The red line, which is perpendicular, has a slope of 7/3

Step-by-step explanation:

Perpendicular lines have slopes that multiply to -1

-3/7 * m = -1

Multiply by -7/3

-7/3 *-3/7 * m = -1*-7/3

m = 7/3

The red line, which is perpendicular, has a slope of 7/3

Answer:

-3/7

Step-by-step explanation:

It's parallel so the slope is the same.

x=-13

x=2

Answer:

Solution given:

5-2x=[tex]\sqrt{2x²+x-1}-x[/tex]

keep square root alone

5-2x+x=[tex]\sqrt{2x²+x-1}[/tex]

5-x=[tex]\sqrt{2x²+x-1}[/tex]

squaring both side

(5-x)²=2x²+x-1

25-10x+x²=2x²+x-1

2x²+x-1-25+10x-x²=0

x²+11x-26=0

doing middle term factorisation

for this

coefficient of first and last terms should be multiplied

here

1*26=26

factor product

26=2*13*1

remember that check the sigh of last term

in here it is - so

we need to get 11 by subtracting factor of 26

we get

13-2=11

keep 13-2 value in place of 11

x²+(13-2)x-26

now

distribute

x²+13x-2x-26=0

take common from each two term

x(x+13)-2(x+13)=0

(x+13)(x-2)=0

either

x=-13

or.x=2

Answer:

A and B

Step-by-step explanation:

we would like to solve the following equation:

[tex] \rm\displaystyle 5 - 2x = \sqrt{ {2x}^{2} + x - 1 } - x[/tex]

to do so isolate -x to the left hand side and change its sign:

[tex] \rm\displaystyle 5 - 2x + x = \sqrt{ {2x}^{2} + x - 1 } [/tex]

simplify addition:

[tex] \rm\displaystyle 5 - x = \sqrt{ {2x}^{2} + x - 1 } [/tex]

square both sides:

[tex] \rm\displaystyle (5 - x {)}^{2} = (\sqrt{ {2x}^{2} + x - 1 } {)}^{2} [/tex]

simplify square of the right hand side:

[tex] \rm\displaystyle (5 - x {)}^{2} = {2x}^{2} + x - 1 [/tex]

use (a-b)²=a²-2ab+b² to expand the left hand side:

[tex] \rm\displaystyle {x}^{2} - 10x + 25= {2x}^{2} + x - 1 [/tex]

swap the equation:

[tex] \rm\displaystyle {2x}^{2} + x - 1 = {x}^{2} - 10x + 25[/tex]

isolate the right hand side expression to the left hand side and change every sign:

[tex] \rm\displaystyle {2x}^{2} + x - 1 - {x}^{2} + 10x - 25 = 0[/tex]

simplify:

[tex] \rm\displaystyle {x}^{2} + 11x - 26= 0[/tex]

rewrite the middle term as 13x-2x:

[tex] \rm\displaystyle {x}^{2} + 13x - 2x - 26= 0[/tex]

factor out x:

[tex] \rm\displaystyle x({x}^{} + 13)- 2x - 26= 0[/tex]

factor out -2:

[tex] \rm\displaystyle x({x}^{} + 13)- 2(x + 13)= 0[/tex]

group:

[tex] \rm\displaystyle (x- 2)(x + 13)= 0[/tex]

by Zero product property we obtain:

[tex] \displaystyle \begin{cases}x- 2 = 0\\ x + 13= 0 \end{cases}[/tex]

solve for x:

[tex] \displaystyle \begin{cases}x = 2\\ x = - 13 \end{cases}[/tex]

to check for extraneous solutions we can define the domain of equation recall that a square root of a function is always greater than or equal to 0 therefore

[tex] \rm\displaystyle 5 - x \geq0[/tex]

solve the inequality for x:

[tex] \rm\displaystyle x \leqslant 5[/tex]

since 2 and -13 is less than 5 both solutions are valid for x hence,

[tex] \displaystyle \begin{cases}x _{1} = 2\\ x_{2} = - 13 \end{cases}[/tex]

and we're done!

Answer:

The volume of the cylinder would be 1539.38

Answer:

I think the Ans is second one

Answer:

B

add the two together.... 5x^3 is the only cube A or B  only x is 6x and only B  has that

Step-by-step explanation:

Answer:

your answer is B

[tex]f(x)=2x^{2} +6x-4[/tex]

[tex]g(x)=5x^{3} -6x^{2} -3[/tex]

[tex](f+g)x=2x^{2} +6x-4+5x^{3} -6x^{2} -3[/tex]

[tex]=5x^{3} -4x^{2} +6x-7[/tex]

OAmalOHopeO

4ⁿ + 4ⁿ⁺¹ + 4ⁿ⁺² + 4ⁿ⁺³ + 4ⁿ⁺⁴

= 4ⁿ (4⁰ + 4¹ + 4² + 4³ + 4⁴)

= 4ⁿ × 341

= 4ⁿ × 11 × 31

Answer:

The answer is 9:30 pm :D.

Answer:

2.75

Step-by-step explanation:

(11/12) / (1/3) = 2.75

Answer:

the answer is: 11/4

Answer:

Step-by-step explanation:

The slope of line u is 9/2; the line perpendicular to that is the opposite reciprocal...opposite sign and the flip of the fraction. The perpendicular slope is -2/9

Answer:41

Step-by-step explanation  

trust

Answer:

5/6

Step-by-step explanation:

The outcome of a die is 1,2,3,4,5,6

Even = 2,4,6

Less than 4 = 1,2,3

Good outcomes = 1,2,3,4,6  = 5 valid outcomes

P( even or less than 4) = valid outcomes / total

                                      =5/6

Answer:

1/4

Step-by-step explanation:

total outcome=6

p(even)=3/6=1/2

p(less than 4)=3/6=1/2

p(even or less than 4)=1/2×1/2=1/4

The answer to the correct number of significant figures is 42.21

When adding decimal numbers, the number of significance of the resulting value will be to the least decimal numbers in the given expression.

Given the sum of decimal shown

41.70 + 0.506 + 0.00223

Using the calculator to take the sum

41.70 + 0.506 + 0.00223 = 42.20823

Since the significance value in the expression is 4, hence we will round the result to 4sf to have 42.21

Learn more on addition of decimal here: https://brainly.com/question/19127052

#SPJ1

Answer:

The derivative of the position function gives the velocity function

2 t^3 + 5 t -2    derivative   =   6 t^2 + 5

Answer:

BD = 10

Step-by-step explanation:

THEY ARE EQUAL

BECAUSE LINE AB IS THE ANGLE BISECTOR

Given:

Diameter of the hole = 30 cm

To find:

The area of the hole.

Solution:

The radius of a circle is always half of the diameter. It is given that the diameter of the hole is 30 cm. So, the radius of the hole is:

[tex]r=\dfrac{30}{2}[/tex]

[tex]r=15[/tex]

Area of a circle is:

[tex]A=\pi r^2[/tex]

Putting [tex]\pi = 3.14[/tex] and [tex]r=15[/tex] in the above formula, we get

[tex]A=(3.14)(15)^2[/tex]

[tex]A=(3.14)(225)[/tex]

[tex]A=706.5[/tex]

Therefore, the area of the hold is 706.5 square cm.

Answer:

(B)

Step-by-step explanation:

Here's what we know about the equation:

- it's a positive equation

- the y-intercept is (0,0)

- the slope is 1/2

Because the equation is positive, this means the graph will increase up from left to right, so you can cross out answer choice A & D.

To find out if B or C has the right slope, you can either plug in points or use the rise/run method.

I'm going to use both methods to figure out which answer choice is correct:

Plug in points method:

Let's plug in the value 2 in to the equation y = 1/2x.

1/2 * 2 = 1

So at (1,2) the function should include that point.

Only B has (1,2), so that's your answer.

Rise/run method:

Rise/run is a method used to figure out the slope of a function or draw a function on a graph.

Rise corresponds to the numerator. In this case, 1.

Run corresponds to the denominator. In this case, 2.

We are going to start at (0,0) and go up 1 (rising 1 unit) and go 2 to the right (running 2 units). After this, we should arrive at a point on the graph.

Only answer choice B does this.

**Reminder: be careful, the each blue line on the graph ISN'T a whole number interval; it uses 1/2 intervals.

Hope that helps (●'◡'●)

Answer:

7m

Step-by-step explanation:

-9(-5k + 3m) + 9m - 5(-5m + 9k)

Distribute

45k -27m +9m +25m -45k

Combine like terms

45k -45k   -27m+9m+25m

0k + 7m

7m

[tex]\boxed{\large{\bold{\textbf{\textsf{{\color{blue}{Answer}}}}}}:)}[/tex]

Step-by-step explanation:

[tex] \frac{3}{15} = \frac{1}{5} = 0.2 \\ 0.92 = \frac{23}{25} \\ 0.92 > 0.2[/tex]

Answer:

functions are expressions that involve 2 variables, a dependent and an independant variable

example: x=3 isn't a function, but 2y=6-x is

Answer: b

Step-by-step explanation: death normally last 9 min and birth 9 sec

Answer:

Entran 9 cuadrados en la hoja

Se puden hacer 10 tarejtas por que hay un cuadradro de 10*10 extra.

Step-by-step explanation:

El area de la hoja sera:

[tex]A_{Hoja}=30*30=900 \:cm^{2}[/tex]

Ahora el area de cada tarjeta es:

[tex]A_{tarjeta}=10*10=100\: cm^{2}[/tex]

Para determinar cuantos tarjetas entran en la hoja debemos vidivir las aras encontradas arriba:

[tex]\frac{A_{Hoja}}{A_{tarjeta}}=\frac{900}{100}=9[/tex]

Entonces entran 9 cuadrados en la hoja

Se puden hacer 10 tarejtas por que hay un cuadradro de 10*10 extra.

Espero te haya sido de ayuda!

Answer:

Y= -1/2X- 2

Step-by-step explanation:

-3 - 11 = -14

2-(-5) = 7

7/-14 = -1/2

-3 = 2(-1/2) + b

-3 = -1 + b

-2 = b

Y= -1/2X-2

Answer:  4/7

This is because the original line has slope -7/4. We flip the fraction and the sign, ie take the negative reciprocal, to get the perpendicular slope.

Flipping the fraction goes from -7/4 to -4/7. Then it flips to positive to get 4/7

Notice that multiplying the original and perpendicular slopes together gets us -1

(-7/4)*(4/7) = -1

This applies to any pair of perpendicular lines as long as neither line is vertical and neither is horizontal.

Answer:

[tex]\frac{4}{7}[/tex]

Step-by-step explanation:

Given

y = - [tex]\frac{7}{4}[/tex] x ( in the form y = mx , where m is the slope )

slope m = - [tex]\frac{7}{4}[/tex]

Given a line with slope m then the slope of a line perpendicular to it is

[tex]m_{perpendicular}[/tex] = - [tex]\frac{1}{m}[/tex] = - [tex]\frac{1}{-\frac{7}{4} }[/tex] = [tex]\frac{4}{7}[/tex]

Answer:

2 solutions

i hope this will help you