3
The linear function is represented by the equation y=-3x - 2. What can be determined of this equation written in
slope-intercept form? Check all that apply.
3
The y-intercept is - 5
-
The y-intercept is 2.
The y-intercept is -2.
3
The slope is 3
The slope is 2.
The slope is -2.

Answer:

[tex]NK \approx 7.001[/tex], [tex]MK = 2[/tex], [tex]MF \approx 7.001[/tex], [tex]A_{AMNFD} = 49.007[/tex]

Step-by-step explanation:

According to the statement, we find the following inputs:

[tex]\angle MDK = \angle DMF = 45^{\circ}[/tex] (Due to the condition of isosceles trapezoid)

[tex]MD = 9[/tex]

[tex]NF = 5[/tex]

Given than longer base and shorter base are parallel to each other, we conclude that:

[tex]\angle KND = 180^{\circ} -\angle NKD - \angle KDN[/tex]

[tex]\angle KND = 180^{\circ}-90^{\circ}-45^{\circ}[/tex]

[tex]\angle KND = 45^{\circ}[/tex]

[tex]\angle FND = 90^{\circ}-\angle KND[/tex]

[tex]\angle FND = 45^{\circ}[/tex] (By definition of complementary angles)

[tex]\angle FND = \angle NFM = 45^{\circ}[/tex] (Due to the condition of isosceles trapezoid)

[tex]\angle MDK = \angle DMF = \angle FND = \angle NFM = 45^{\circ}[/tex]

[tex]\angle NOF = \angle MOD = \angle MOF = \angle FOD = 90^{\circ}[/tex] (By definitions of complementary and vertical angles and the theorem that states that sum of internal angles within a triangle equals 180º)

[tex]MO = DO = \frac{\sqrt{2}}{2}\cdot MD[/tex] (By theorem for 45-45-90 Right Triangle)

[tex]NO = OF = \frac{\sqrt{2}}{2}\cdot NF[/tex] (By theorem for 45-45-90 Right Triangle)

If we know that [tex]MD = 9[/tex] and [tex]NF = 5[/tex], then we find that:

[tex]DO = MO \approx 6.364[/tex]

[tex]NO = OF \approx 3.536[/tex]

The value of MK is obtained from the following relationship:

[tex]MK = \frac{MD-NF}{2}[/tex]

[tex]MK = \frac{9-5}{2}[/tex]

[tex]MK = 2[/tex]

And the value of KD is calculated from this expression:

[tex]KD = MD-MK[/tex]

[tex]KD = 9-2[/tex]

[tex]KD = 7[/tex]

Now by the Pythagorean Theorem we find that:

[tex]NK = \sqrt{(NO+DO)^{2}-KD^{2}}[/tex]

[tex]NK = \sqrt{9.9^{2}-7^{2}}[/tex]

[tex]NK \approx 7.001[/tex]

And considering the symmetry characteristics of an isosceles trapezoid, we determine MF:

[tex]MF = NO + DO \approx 7.001[/tex]

Lastly, the area of the isosceles trapezoid is determined by the following formula:

[tex]A_{AMNFD} = NF\cdot NK + MK\cdot NK[/tex]

[tex]A_{AMNFD} = NK\cdot (NF+MK)[/tex]

If we know that [tex]NK \approx 7.001[/tex], [tex]NF = 5[/tex] and [tex]MK = 2[/tex], then the area of the figure is:

[tex]A_{AMNFD} = (7.001)\cdot (5+2)[/tex]

[tex]A_{AMNFD} = 49.007[/tex]

Answer:

188.88

Step-by-step explanation:

Answer:

Yes because they both only have one zero so the discriminant for both is 0

Step-by-step explanation:

explanation above lol

The two functions have the same discriminant b² - 4a = 0.

A quadratic equation is an algebraic expression in the form of variables and constants.

A quadratic equation has two roots as its degree is two.

We know, Discriminant in a quadratic equation ax² + bx + c is, b² - 4ac.

Now, From the graph the discriminant and properties here,

D = 0 as the vertex of the parabola intersect only at one point.

b² - 4ac = 0.

The blue graph intersects at (2, 0) and the red graph intersects at (- 2, 0).

So, they have the same discriminant.

learn more about quadratic equations here :

https://brainly.com/question/30098550

#SPJ2

Answer:

33.6

Step-by-step explanation:

Answer:

Step-by-step explanation:

19-4x+15x  combine like terms

19+11x

Step-by-step explanation:

37x+26=42x+6

x=4

If am wrong sorry

Answer:

x = 4

Step-by-step explanation:

1. Subtract 26 on both equation. (37+26−26=42+6−26)

2. Simplify and Subtract the numbers and repeat. (37=42−20)

3. Subtract 42x on both equation. (37−42=42−20−42)

4. Put together (simplify). (−5=−20)

5. Now divided with -5x. ( −5/−5=−20/−5)

6. Get your answer! (=x4)

~~~Hope this helps~~~

Answer:First three terms: 11,20,29 .

Step-by-step explanation:

Write a systems of equations. tn=a+(n−1)d. sn=n2 (2a+(n−1)d). So,. 110=11+(n−1)d 726=n2(22+(n−1)d).

I hope this is right

Answer:

3=k

Answer:

Your answer is:  [tex]2j^{2}(j-4)[/tex]

Factor [tex]2j^{2}[/tex]out of [tex]2j^{3} -8j^{2}[/tex]

Step-by-step explanation:

Hope this helped : )

Answer:

14x+7y=-214x+7y=−2

Step-by-step explanation:

I think that can help :) wanna chat add me as  friend

Answer:   [tex]\frac{x^8}{256y^{20}}[/tex]

If the font is too small, it says x^8 all over top 256y^20 as one big fraction.

========================================================

Work Shown:

[tex]\left(\frac{5x^3}{20xy^5}\right)^4\\\\\\\left(\frac{x^2}{4y^5}\right)^4\\\\\\\frac{\left(x^2\right)^4}{(4^1)^4\left(y^5\right)^4}\\\\\\\frac{x^{2*4}}{4^{1*4}y^{5*4}}\\\\\\\frac{x^{8}}{4^{4}y^{20}}\\\\\\\frac{x^{8}}{256y^{20}}\\\\\\[/tex]

Answer:

8 1/4

Step-by-step explanation:

6 3/5 ÷ 0.8

6 3/5 = 33/5

0.8 = 8/10

6 3/5 ÷ 0.8

= 33/5 ÷ 8/10

= 33/5 * 10/8 ( Because multiplication and division are inverse operations)

= 33/4

= 8 1/4

=

Answer:

The answer is B

Step-by-step explanation:

Answer:

She can travel 7 miles in the taxi.

Step-by-step explanation:

2.75×7=19.25

Answer:

L=8, W=4

Step-by-step explanation:

2L+2W=p

2(4)+2(8)=p

8+16=24

Answer:

length = 8 in.; width = 4 in

Step-by-step explanation:

Answer:

93

Step-by-step explanation:

the total of all those are 150 so if you multiply it by three you get 450

so multiply pizza by three too

to get 93

Answer:

93 students

Step-by-step explanation:

You first need to add up all the numbers on the chart, 36 + 29 + 54 + 31. You would then get 150. Divide 450 / 150 = 3. You multiply the amount of students chose pizza by 3 and you get 93. 31 * 3 = 93.

Therefore, 93 students would say pizza is there favorite food.

Hope this helps :)

Answer:

√13

Step-by-step explanation:

length √(2^2+3^2)=√13.

Answer:

Wyatt played 3 games and went on 6 Rides

Step-by-step explanation:

Let games be represented as x

Let ride be represented as y

Each game cost $1.25

Each ride cost $2.75

Total money spent by Wyatt= $20.25

x1.25 + y2.75 = 20.25 ..... Equation 1

the number of rides he went on is twice the number of games he played

Y= 2x ... Equation 2

Substituting the value of y into equation 1

x1.25 + y2.75 = 20.25

x1.25 + 2(x)2.75 = 20.25

x1.25 + x5.5 = 20.25

x6.75= 20.25

x= 20.25/6.75

X= 3

Y= 2x

Y= 2(3)

Y= 6

Wyatt played 3 games and went on 6 Rides

Answer:

Today: Friday, 06 November 2020

Hour: 10.15 WIB (Indonesia)

_______________________________

so,

6c = 6 × 5 = 30

4b = 4 × (-3) = -12

Example:

4b - 6c

= 4(-3) - 6(5)

= -12 - 30

= - 42

4b + 6c

= 4(-3) + 6(5)

= -12 + 30

= 18

Answer:

Learn vocabulary, terms, and more with flashcards, games, and other study tools. ... The Fee that a driver pays to have automobile insurance is called a ... She receives 7% on her first $1,000 in sales and 15% on the balance of her sales. ... The Jackson's sublet their summer cottage during the winter and spring months.

Step-by-step explanation:

Answer:

65

Step-by-step explanation:

Answer:

10:7

Step-by-step explanation:

Answer:

it would be 0.64

Step-by-step explanation:

Answer:

It was sold at $32.40.

Step-by-step explanation:

hope this helpss :))

Answer:

B. FE=40

Step-by-step explanation:

A. correct because FE = 58  6(8)+10=58

C. correct because 6(8)+10=40

D. correct because DF= 40  8(8)-24=40