What is the equation of this line?

y=3/4x+2

y=4/3x−2

y=3/4x−2

y=−3/4x−2

Answer:

[tex]618.75 cm^{3}[/tex]

Step-by-step explanation:

[tex]\frac{(11 cm)(7.5 cm)(15 cm)}{2} =618.75 cm^{3}[/tex]

Answer:

29 and 17

Step-by-step explanation:

Sum: 29 + 17 = 46

Difference: 29 - 17 = 12

Answer:

The answer is 17 and 29.

17+29=46.

29-17=12

Answer:

[tex] \alpha = \frac{ - b + \sqrt{ {b}^{2} - 4ac} }{2a} \\ \beta= \frac{ - b - \sqrt{ {b}^{2} - 4ac} }{2a} \\ \alpha +\beta = \frac{ - b + \sqrt{ {b}^{2} - 4ac} }{2a} + \frac{ - b - \sqrt{ {b}^{2} - 4ac} }{2a} \\ = \frac{ - 2b + 0}{2a} = \frac{ - 2b}{2a} \\ \therefore \: \alpha +\beta = - \frac{b}{a} \\ \alpha \times \beta = \frac{ - b + \sqrt{ {b}^{2} - 4ac} }{2a} \times \frac{ - b - \sqrt{ {b}^{2} - 4ac} }{2a} \\ = \frac{ {b}^{2} - ( {b}^{2} - 4ac) }{4 {a}^{2} } \\ = \frac{4ac}{4 {a}^{2} } \\ \therefore \alpha \times \beta = \frac{c}{a} \\ (x - \alpha)(x - \beta) = 0 \\ {x }^{2} + (\alpha + \beta)x + \alpha\beta = 0\\\\Let \:D =\sqrt{ {b}^{2} - 4ac}\\ If \:D >0 \Rightarrow \alpha, \beta \in \mathbb R\:(2 \: real \:roots)\\ If D =0 \Rightarrow \alpha= \beta \in \mathbb R\: (one \:real\: root) \\ If D <0 \Rightarrow \alpha, \beta \in \mathbb C\:(complex\: roots)\\At least 4examples\\{(x-1)}^{2}=0\\{x}^{2}-x-1=0 \\{x}^{2}-2x+13=0\\7{x}^{2}-49x-7=0\\ Applications\\ut+g{t}^{2}=s\\a=g\\u=-\frac{b}{a}\\s=\frac{c}{a}[/tex]

Answer:

Step-by-step explanation:

1) Determining the nature of roots:

Quadratic equation: ax² + bx +c = 0

Find D (Discriminant) using the  D = b² - 4ac

If D = 0 , then the two roots are equal.

If D > 0, then the equation has two distinct real roots.

If D < 0, then the roots are complex/ imaginary.

One can find the sum and product of the roots using the below mentioned formula.

1) sum of roots = [tex]\frac{-b}{a}[/tex]

2) Product of roots = [tex]\frac{c}{a}[/tex]

If sum and product of the roots are given, one can frame the quadratic equation by   x² - (sum of roots)*x + product of roots = 0

2) i) x² - 6x + 9 = 0

a = 1 ; b = -6  and c = 9

D = (-6)² - 4 * 1 * 9 = 36 - 36 = 0

D = 0. So, two equal roots

ii) x² - 4x + 3 = 0

a = 1 ; b = -4 ; c = 3

D = (-4)² - 4 * 1 * 3 = 16 - 12 = 4

D > 0. So, two distinct real roots.

iii) x² - 4x - 3 = 0

a = 1 ; b = -4 ; c = -3

D = (-4)² - 4*1*(-3) = 16 + 12 = 28 > 0

D > 0. So, two distinct real roots.

iv) x² - 4x + 7 = 0

a = 1 ; b = -4 ; c = 7

D =(-4)² - 4 *1 *7 = 16 - 28 = - 12

D< 0. So, two imaginary/ complex roots.

Answer: 13

Step-by-step explanation:

12 x 2 = 24 (because of the two sides)

50 - 24 = 26 (to find the remaining amount)

26 / 2 = 13 (to equally distribute the remaining amount.)

Answer:

u can be using it at perpendicular and place it's center on point A

hope that helps a bit-

Explanation:

Polynomials of degree 1, aka linear polynomials, are the highest allowed for the divisor when using synthetic division. If the divisor is degree 2 and larger, then you'll need to use polynomial long division instead.

An example divisor of degree 1 is something like [tex]x+5[/tex], which can be written as [tex]x^1+5[/tex]. That exponent of 1 determines the degree.

Answer:

The answer is the first one. It's also in my picture that I included

Answer:

210 calories per serving

Step-by-step explanation:

Answer:

11/8

Step-by-step explanation:

1 3/8 = 1 + 3/8 = 1/1 + 3/8 = 8/8 + 3/8 = 11/8

Answer:O A. 0.00483

Step-by-step explanation:

Step-by-step explanation:

A=hbb

=42· 0 x30.9

=648.9

29.7°F + (1.23°F (2))

= 29.7°F + 2.46°F

= 32.16°F

#LearnWithEXO

Answer:

the answer to your question is B.4

The trapezoids are congruent if the corresponding sides of each trapezoid are equal

The option that gives the possible coordinates for the vertex I is the option;

[tex]\underline{(-4.5, -5)}[/tex]

Reason:

The given coordinates of the trapezoid TRAP = T(3, 5), P(3 2), R(6, 5), and A(7.5, 2)

The given coordinates of the trapezoid ZOID = Z(0, -2), and D(0, -5)

Required: The possible coordinates for a vertex on ZOID

Solution:

The given points of the trapezoid are the height of the trapezoid ZOID

The possible vertex of I, and O are;

Therefore;

The option that gives the possible coordinates (position) of a vertex I is the option [tex]\underline{(-4.5, -5)}[/tex]

Learn more here:

https://brainly.com/question/12871672

Answer:

The trapezoids are congruent if the corresponding sides of each trapezoid are equal

The option that gives the possible coordinates for the vertex I is the option;

(-4.5.-5)

Step-by-step explanation:

Answer:

-5/2

Step-by-step explanation:

5x+2y=6

First, put the equation in slope-intercept form

y = mx+b where m is the slope and b is the y intercept

Subtract 5x from each side

5x-5x+2y=-5x+6

2y = -5x+6

Divide each side by 2

2y/2 = -5/2x +6/2

y = -5/2 x +3

The slope is -5/2x

Lines that are parallel have the same slope

$10.4 maybe I don't really know

Answer:

2

Step-by-step explanation:

Answer:

-7 x 21

this adds up to 14 and multiplies -147

Answer:

the 5 gallon

67.45 ÷ 5= $13.49

Answer:

Step-by-step explanation:

Number of 1/6 in 1 is 6.

Number of 1/6 in 3 is:

Correct choices are B and C

There are 6 1/6 exist between 1 and 0

No of 1/6 between 3 wholes:-

[tex]\\ \sf\longmapsto 3\div \dfrac{1}{6}[/tex]

[tex]\\ \sf\longmapsto 3\times 6[/tex]

[tex]\\ \sf\longmapsto 18[/tex]

Options B and C

Answer:

Mr. Alcazar baked 810 cookies.

Step-by-step explanation:

Given that Mr. Alcazar bakes 6 batches of 60 cookies and five batches of 90 cookies, to determine the amount of cookies that he cook, the following calculation must be performed:

(6 x 60) + (5 x 90) = X

360 + 450 = X

810 = X

Therefore, according to the calculation that has been made, Mr. Alcazar baked 810 cookies.

Answer:

-3

Step-by-step explanation:

I Think :D

Answer:

fraction: 62/100=31/50

decimal: 0.62

percentage: 62%

Step-by-step explanation:

Answer:

see explanation

Step-by-step explanation:

∠ A and ∠ FCE are corresponding angles and are congruent , then

∠ A = 150°

∠ FCE and ∠ C are vertically opposite angles and are congruent , then

∠ C = 150°

∠ FCE and ∠ ECB are adjacent angles on a straight line and sum to 180°

∠ ECB = 180° - ∠FCE = 180° - 150° = 30°

∠ E = 180° - (30 + 45)° ← sum of angles in a triangle

∠ E = 180° - 75° = 105°

∠ CBE and ∠ D are same- side interior angles and sum to 180° , then

∠ D = 180° - 45° = 135°

Answer:

$38 for 2 sweaters

Step-by-step explanation:

$38 for 2 sweaters  ---> $38/2 = $19

$72 for 3 sweaters

$96 for 4 sweaters

$120 for 5 sweaters

If it takes 1 pizza to feed 3 people and you invite 36 people, you can divide 36 by 3 to get the answer -

36/3 = 12

You will need 12 pizzas.

The polynomial [tex]x^3+ px^{2}-x-2[/tex] contains x - 1 as a factor.

The value of p = 2.

Given:

The polynomial [tex]x^3+ px^{2}-x-2[/tex] contains x - 1 as a factor.

Comparing x - 1 with x - a then

Substitute the value of x = 1, then we get

[tex]$1^3+p*1^2-1-2 = 0[/tex]

[tex]$1^{3}+p \cdot 1^{2}-1-2=0$$[/tex]

Apply rule [tex]$1^{a}=1$[/tex]

[tex]$&1^{3}=1,1^{2}=1 \\[/tex]

[tex]$&1+1 \cdot p-1-2=0[/tex]

Multiply: p-1 = p

1+p -1-2=0

Group like terms

p+1-1-2 = 0

Add/Subtract the numbers: 1-1-2 = -2

p-2 = 0

Add 2 to both sides

p-2+2 = 0+2

Simplify

p = 2

Therefore, the value of p = 2.

To learn more about polynomial function

https://brainly.com/question/11434122

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