Simplify: -14cd-2c^2d^2+15cd+9c^2d^2-15cd

All rational numbers are integers? True/False

densk [106]

Answer:

True

Step-by-step explanation:

Every rational number is an integer. ... But not all rational numbers are integer. For example 47,34 4 7 , 3 4 . Hence, the statement is FALSE .

4 0

2 years ago

Please help me with these two questions, 10 points for each so in total 20!!

saul85 [17]

Answer:

$\large\boxed{Q2.\qquad C.\ -2x+y=-2}\\\boxed{Q4.\qquad C.\ y=3x+12}$

Step-by-step explanation:

Q2:

The point-slope form of an equation of a line:

$y-y_1=m(x-x_1)$

m - slope

The formula of a slope:

$m=\dfrac{y_2-y_1}{x_2-x_1}$

We have the points (4, 6) and (6, 10). Substitute:

$m=\dfrac{10-6}{6-4}=\dfrac{4}{2}=2$

$y-6=2(x-4)$ use distributive property

$y-6=2x-8$ add 6 to both sides

$y=2x-2$ subteact 2 from both sides

$-2x+y=-2$

Q4:

The slope-intercept form of an equation of a line:

$y=mx+b$

m - slope

b - y-intercept

Put the slope m = 3 and the coordinateso f the point (-2, 6) to the point-slope form of an equation of a line:

$y-6=3(x-(-2))$

$y-6=3(x+2)$ use distributive property

$y-6=3x+6$ add 6 to both sides

$y=3x+12$

4 0

2 years ago

35 POINTS, PLEASE HELP, I'M TIMED!!! What is the volume of a cylinder that has the following measurements?

iris [78.8K]

Answer:

hope im right!

Step-by-step explanation:

i believe it is 128.6!

3 0

2 years ago

I need help asap pls and thank you ;)

olga55 [171]

Answer:

$\text{Length of AB is }\frac{ah}{a+h}$

Step-by-step explanation:

Given △KMN, ABCD is a square where KN=a, MP⊥KN, MP=h.

we have to find the length of AB.

Let the side of square i.e AB is x units.

As ADCB is a square ⇒ ∠CDN=90°⇒∠CDP=90°

⇒ CP||MP||AB

In ΔMNP and ΔCND

∠NCD=∠NMP (∵ corresponding angles)

∠NDC=∠NPM (∵ corresponding angles)

By AA similarity rule, ΔMNP~ΔCND

Also, ΔKAP~ΔKPM by similarity rule as above.

Hence, corresponding sides are in proportion

$\frac{ND}{NP}=\frac{CD}{MP} \thinspace\thinspace and\thinspace\thinspace \frac{KA}{KP}=\frac{AB}{PM} \\\\\frac{ND}{NP}=\frac{x}{h} \thinspace\thinspace and\thinspace\thinspace \frac{KA}{KP}=\frac{x}{h}\\\\\frac{NP}{ND}=\frac{h}{x} \thinspace\thinspace and\thinspace\thinspace \frac{KP}{KA}=\frac{h}{x}\\\\\frac{PD}{ND}=\frac{h}{x}-1 \thinspace\thinspace and\thinspace\thinspace \frac{AP}{KA}=\frac{h}{x}-1\\$

$KA(\frac{h}{x}-1)=AP$

$ND(\frac{h}{x}-1)=PD$

Adding above two, we get

$(KA+ND)(\frac{h}{x}-1)=(AP+PD)$

⇒ $(KN-AD)=\frac{x}{(\frac{h}{x}-1)}$

⇒ $a-x=\frac{x}{(\frac{h}{x}-1)}$

⇒ $a-x=\frac{x^2}{h-x}$

⇒ $x^2=ah-ax-xh+x^2$

⇒ $x(h+a)=ah$

⇒ $x=\frac{ah}{a+h}$

3 0

3 years ago

What is the point-slope form of a line with slope 6 that contains the same point (1,2)

garri49 [273]

Step 1: Create an equation with a slope of 6
y=6x+b

Step 2: Substitute x and y by with the point (1,2) and solve the equation for b
y=6x+b
2=6(1)
2=6
2=6+b
b=-4

Step 3: Substitute -4 for b in the equation
y=6x+b
y=6x+(-4)
y=6x-4

The equation that has a slope of 6 and passes through the point (1,2) in point-slope form:
y=6x-4

3 0

3 years ago