my teacher gave the answer but I have to figure out how she got the answer please help. ​

A expression having only one term is called monomial.

[tex]Eg:- 3x, { - 4y}^{2} , \frac{3}{2} yz [/tex]

A expression having two terms is called Binomial.

[tex]Eg: 2x - 3y \: , {4x}^{2} + 5zx[/tex]

A expression having three terms is called trinomial.

[tex]Eg: - 3p + 5q - \frac{2}{5} pq[/tex]

Answer:

[tex] {y}^{2} - 14y + 45 \\ \\ {y}^{2} - 9 y + 5y - 45 \\ \\ y(y - 9) - 5(y - 9) \\ \\ (y - 5)(y - 9)[/tex]

Here's the solution :

[tex] {y}^{2} - 4y+ 45[/tex]

[tex] {y}^{2} - 9y - 5y + 45[/tex]

[tex]y(y - 9) - 5(y - 9)[/tex]

[tex](y - 5)(y - 9)[/tex]

therefore, the roots are 5 and 9

Answer:

might be wrong but

−

3

2

+

9

0

1

5

Answer:

-32a/15 +6

Step-by-step explanation:

it does not change when you simplified

Answer:

Tina ate 1/4 cornbread of the whole pan.

Step-by-step explanation:

If she has 1/2 of a pan, and ate 1/2 of that, it's 1/2*1/2, which equals 1/4! Try to imagine a pan of cornbread in your head ahaha

The equation should be: 1/2*1/2=1/4

Hopes this helps!

Answer: I believe the answer is 3.3 x 10^8

Answer:

c

Step-by-step explanation:

edge 2022

Answer:

-7q and 9q, 2 and 6

Step-by-step explanation:

they are like each other

Answer: Terms that have identical variable parts (same variable(s) and same exponent(s)). So in this case the like terms are -7q and 9q AND 2 and 6 are like terms *REMEMBER: constant (which are numbers with NO variables can also be like terms)

but to solve this:

first group the like terms so:

(-7q+9q) that gives us 2q

(2+6) that gives us 8

*In your FINAL answer ALWAYS put the number(s) with variables first so the final answer is 2q+8

Answer:

It is 8.5 meters tall

Step-by-step explanation:

28.05 / 3.3 = 8.5

Answer:

The answer is angle 4.

Step-by-step explanation:

Complimentary angles add up to 90°. So when it says what is the complimentary angle to angle 5, they want to know which angle will add up to 90° along with angle 5. We know that angles 1 and 3 are congruent and that angle 2 and angles 4+5 are congruent. Therefore angles 4 and 5 must add up to 90°.

Answer:

x/5 +1 = 21

Step-by-step explanation:

x is your variable. first step is divided by 5, so you put x/5. then it says add 1 so simply add it on to the equation x/5 + 1. the entire equation equals to 21 so you put the equal sign after x/5 +1 =21

Answer:

2.31964e-7

Step-by-step explanation:

Answer:

3 gallons

Step-by-step explanation:

Answer:

thank you so much

Step-by-step explanation:

Answer:

The answer would be -11

Step-by-step explanation:

The 2 angles in this problem are vertical angles. This means the angles and congruent(=). so 6x+185=8x+207 ----- 2x=-22---------- x=-11

Hope this helps!

Answer:

enough to process what a word is

Step-by-step explanation:

Yes, 13/19 is a rational number.

All fractionals are rational numbers, making this a rational number. Let me know if you have any questions, thanks!

Answer:

X=60°

Step-by-step explanation:

A1=100° vertically opposite angles

100°=2x-20°

120°=2x

X=60°

Answer:

look at the photo..............

Answer:

x = 51°

Step-by-step explanation:

The sum of the 3 angles in a triangle = 180°

Subtract the sum of the 2 given angles from 180° for x

x = 180° - (90 + 39)° = 180° - 129° = 59°

Answer:

slope: zero/none

equation: y = -2

Step by Step:

1) find the slope - change in y / change in x

-2+2/9+3

0/12

0 <- zero slope = no slope

2) plug in and solve for y-intercept

( -3, -2 )

-2=(0*-3)+b

b=-2

because the slope was zero, we know that it's a horizontal line

therefore the only equation we can get from this is a y= equation

3) plug in values to get equation

y = -2

slope is zero

Answer: x-intercept: y = -7

y-intercept: x = -5

Step-by-step explanation:

Rearrange to standard format: y=mx+b

-7x-5y=35

-5y= +7x + 35

y= -(7/5)x -7

b is the y-intercept b=-7

--

Find a value for x that makes y = 0, the x-intercept.

y= -(7/5)x -7

0= -(7/5)x -7

(7/5)x = -7

(5/7)*(7/5)x = (5/7)*(-7)

x = -5, the y-intercept

Answer:

2

Step-by-step explanation:

Answer:

2

Step-by-step explanation:

4 groups of 4, or 4x4=16.

16 in eight groups, or 16/8 is 2.

In a unit rate, the denominator is always 1. So, to find unit rate, divide the denominator with the numerator in a way that the denominator becomes 1. For example, if 50km is covered in 5.5 hours, the unit rate will be 50km/5.5 hours = 9.09 km/hour.

Answer:

Lucky for you i'm good at algebra:)

Step-by-step explanation:

Slope:  -2/3

Y-intercepts: (0,7)

Answer:

 Slope = -1.333/2.000 = -0.667

 x-intercept = 21/2 = 10.50000

 y-intercept = 21/3 = 7

Step-by-step explanation:

Rearrange:

Rearrange the equation by subtracting what is to the right of the equal sign from both sides of the equation :

                    y-(-2/3*x+7)=0

Step 1:

Simplify    2/3

Equation at the end of step 1:

y -  ((0 -(2/3• x)) +  7)  = 0

Step 2: Rewriting the whole as an Equivalent Fraction

Rewrite the whole as a fraction using  3  as the denominator :

7 = 7/1  =  7 · 3 /3

Equivalent fraction : The fraction thus generated looks different but has the same value as the whole

Common denominator : The equivalent fraction and the other fraction involved in the calculation share the same denominator

Adding fractions that have a common denominator :

Adding up the two equivalent fractions

Add the two equivalent fractions which now have a common denominator

Combine the numerators together, put the sum or difference over the common denominator then reduce to lowest terms if possible:

-2x+7·3/3 = 21-2x/3

Equation at the end of step 2:

y-(21-2x)/3=0

Step 3:

Rewriting the whole as an Equivalent Fraction :

Subtracting a fraction from a whole

Rewrite the whole as a fraction using  3  as the denominator :

y=y/1=y·3/3

Adding fractions that have a common denominator :

 Adding up the two equivalent fractions

y • 3 - ((21-2x))     3y + 2x - 21

—————————————————  =  ————————————

        3                  3      

Equation at the end of step

3

:

 3y + 2x - 21

 ————————————  = 0  

      3      

STEP

4

:

When a fraction equals zero :

4.1    When a fraction equals zero ...

Where a fraction equals zero, its numerator, the part which is above the fraction line, must equal zero.

Now,to get rid of the denominator, Tiger multiplys both sides of the equation by the denominator.

Here's how:

 3y+2x-21

 ———————— • 3 = 0 • 3

    3    

Now, on the left hand side, the  3  cancels out the denominator, while, on the right hand side, zero times anything is still zero.

The equation now takes the shape :

  3y+2x-21  = 0

Equation of a Straight Line

4.2     Solve   3y+2x-21  = 0

Tiger recognizes that we have here an equation of a straight line. Such an equation is usually written y=mx+b ("y=mx+c" in the UK).

"y=mx+b" is the formula of a straight line drawn on Cartesian coordinate system in which "y" is the vertical axis and "x" the horizontal axis.

In this formula :

y tells us how far up the line goes

x tells us how far along

m is the Slope or Gradient i.e. how steep the line is

b is the Y-intercept i.e. where the line crosses the Y axis

The X and Y intercepts and the Slope are called the line properties. We shall now graph the line  3y+2x-21  = 0 and calculate its properties

Graph of a Straight Line :

Calculate the Y-Intercept :

Notice that when x = 0 the value of y is 7/1 so this line "cuts" the y axis at y= 7.00000

 y-intercept = 21/3  =  7  

Calculate the X-Intercept :

When y = 0 the value of x is 21/2 Our line therefore "cuts" the x axis at x=10.50000

 x-intercept = 21/2  = 10.50000  

Calculate the Slope :

Slope is defined as the change in y divided by the change in x. We note that for x=0, the value of y is 7.000 and for x=2.000, the value of y is 5.667. So, for a change of 2.000 in x (The change in x is sometimes referred to as "RUN") we get a change of 5.667 - 7.000 = -1.333 in y. (The change in y is sometimes referred to as "RISE" and the Slope is m = RISE / RUN)

   Slope     = -1.333/2.000 = -0.667  

Geometric figure: Straight Line

 Slope = -1.333/2.000 = -0.667

 x-intercept = 21/2 = 10.50000

 y-intercept = 21/3 = 7

Answer:

Five students wear glasses.

Step-by-step explanation:

20 percent of 25 is 5

We are given that 25 students in the class and 20% wear glasses.

Take 20% of 25 to calculate how many students wear glasses.

[tex]25 \times 20 \%=25 \times 0.20[/tex]

[tex]= 5[/tex]

5 students in class 2-11 wear glasses. Let me know if you have any questions, thanks!

The required equation is D = 5n + 200 and the amount deposited after 8 months is $240

Given the amount that steven deposited every month as $200

Let n be the number of months

D = 200 + 5n = 5n + 200

In order to get the amount deposited after 8 months, we will replace n by 8 to have:

D = 200 + 5(n)

D = 200 + 5(8)

D = 200 + 40

D = 240

Hence the required equation is D = 5n + 200 and the amount deposited after 8 months is $240

Learn more here: https://brainly.com/question/2159099

Answer:

x = 26/45

Step-by-step explanation:

Answer:

Given Question

Solve for x :

[tex]\rm :\longmapsto\:\dfrac{3x - 5}{2} + x + \dfrac{2x - 3}{3} = \dfrac{5}{6} - \dfrac{3x}{2} [/tex]

[tex] \green{\large\underline{\sf{Solution-}}}[/tex]

Given expression is

[tex]\rm :\longmapsto\:\dfrac{3x - 5}{2} + x + \dfrac{2x - 3}{3} = \dfrac{5}{6} - \dfrac{3x}{2} [/tex]

[tex]\rm :\longmapsto\:\dfrac{3(3x - 5) + 6x + 2(2x - 3)}{6} = \dfrac{5 - 9x}{6}[/tex]

[tex]\rm :\longmapsto\:9x - 15 + 6x + 4x - 6 = 5 - 9x[/tex]

[tex]\rm :\longmapsto\:(9x + 6x + 4x) - 15 - 6 = 5 - 9x[/tex]

[tex]\rm :\longmapsto\:19x - 21 = 5 - 9x[/tex]

[tex]\rm :\longmapsto\:19x + 9x = 5 + 21[/tex]

[tex]\rm :\longmapsto\:28x = 26[/tex]

[tex]\rm :\longmapsto\:x = \dfrac{26}{28} [/tex]

[tex]\bf\implies \:x = \dfrac{13}{14} [/tex]

Consider LHS

[tex]\rm :\longmapsto\:\dfrac{3x - 5}{2} + x + \dfrac{2x - 3}{3}[/tex]

On substituting the value of x, we get

[tex]\rm \:  =  \: \dfrac{\dfrac{39}{14} - 5}{2} + \dfrac{13}{14} + \dfrac{\dfrac{13}{7} - 3}{3}[/tex]

[tex]\rm \:  =  \: \dfrac{39- 70}{28} + \dfrac{13}{14} + \dfrac{13 - 21}{21}[/tex]

[tex]\rm \:  =  \: \dfrac{ - 31}{28} + \dfrac{13}{14} - \dfrac{8}{21}[/tex]

[tex]\rm \:  =  \: \dfrac{ - 31 + 26}{28} - \dfrac{8}{21}[/tex]

[tex]\rm \:  =  \: \dfrac{ -5}{28} - \dfrac{8}{21}[/tex]

[tex]\rm \:  =  \: \dfrac{ -15 - 32}{84}[/tex]

[tex]\rm \:  =  \: - \: \dfrac{47}{84}[/tex]

Consider RHS

[tex]\rm :\longmapsto\: \dfrac{5}{6} - \dfrac{3x}{2} [/tex]

On substituting the value of x, we get

[tex] \rm \:  =  \: \dfrac{5}{6} - \dfrac{39}{28} [/tex]

[tex] \rm \:  =  \: \dfrac{70 - 117}{84}[/tex]

[tex] \rm \:  =  \: - \dfrac{47}{84}[/tex]

Hence, LHS = RHS

Hence, Verified.

Answer:

C

Step-by-step explanation:

since L and M are both perpendicular to the same transversal they are parrallel