The rectangle has an area


….

[tex]\\ \sf\longmapsto x^2-4x-5=0[/tex]

[tex]\\ \sf\longmapsto x^2-5x+x-5=0[/tex]

[tex]\\ \sf\longmapsto x(x-5)+1(x-5)=0[/tex]

[tex]\\ \sf\longmapsto (x-5)(x+1)=0[/tex]

[tex]\\ \sf\longmapsto x=5\:or\:x=-1[/tex]

Solution is (-1,0) and (5,0)

Graph attached.

Spare way:-

Use quadratic formula .

[tex]\\ \sf\longmapsto x=\dfrac{-b\pm \sqrt{b^2-4ac}}{2a}[/tex]

[tex]\\ \sf\longmapsto x=\dfrac{-(-4)\pm\sqrt{(-4)^2-4(1)(-5)}}{2(1)}[/tex]

[tex]\\ \sf\longmapsto x=\dfrac{4\pm \sqrt{16+20}}{2}[/tex]

[tex]\\ \sf\longmapsto x=\dfrac{4\pm 6}{2}[/tex]

[tex]\\ \sf\longmapsto x=\dfrac{10}{2}\:or\:\dfrac{-2}{2}[/tex]

[tex]\\ \sf\longmapsto x=5\:or\:-1[/tex]

[tex]x {}^{2} - 4x - 5 = 0 \\ x {}^{2} + x - 5x - 5 = 0 \\ x(x + 1) - 5(x + 1) = 0 \\ (x + 1)(x - 5) = 0 \\ x + 1 = 0 \\ x - 5 = 0 \\ x = - 1 \\ x = 5[/tex]

Answer:

32 revolutions per minute(rpm)

Step-by-step explanation:

v inversely proportional to t

so if v increases t will decrease and vice versa

inverse equation is xy=k

xy=k

48×20= 960 (revolutions)

then you'll take k(960) and divide it by number of teeth

so..

960/30 = 32 revolutions per minute

Answer:

0.0243902439

Step-by-step explanation:

Answer:

The dimensions are 18m by 18m

Step-by-step explanation:

Since the problem says the floor is square, we know that all 4 sides are equal. The area for a square is one side squared. Since we do not have the actual length per side, we write the following formula: x^2= 324.

From there, we simply take the square root to figure out that one side is 18 meters. Once we know one side, we know all 4 because a square has equal sides. Therefore, the dimensions of the floor are 18m x 18m. I hope this helps!

Answer:

Step-by-step explanation:

d = 102°

e = 56°

f = 22°

The measurement of each of the angle is -

∠e = 56°  

∠d = 102°

∠f = 22°

Given are the intersecting lines as shown in the image.

We can write that -

∠e = 56°                                 {vertically opposite angles}

∠d = 102°                                {vertically opposite angles}

∠f = {180 - (102 + 56)}             {vertically opposite angles}

∠f = 22°

Therefore, the measurement of each of the angle is -

∠e = 56°  

∠d = 102°

∠f = 22°

To solve more questions on angles, visit the link below -

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6*1/3=6/3=2 hours

hope it helped

Answer:

 X= -2

Step-by-step explanation:

Answer:

13th Amendment- C

14th Amendment- A

15th Amendment- B

Step-by-step explanation:

Answer:

13th C

14th A

15th B

Step-by-step explanation:

You have to think of it in events in order. Slaves can't vote until they're free, so the thirteenth amendment gets rid of slavery. It wouldn't make sense if slaves could vote without other freedoms, so freedoms come first. 14th is B for this reason. Lastly, the fifteenth amendment grants African American men to vote years down the road (women weren't allowed to vote yet at all, so the African American females also didn't have this right)

deu ruim  aqui pq eu não sei

Step-by-step explanation:

Answer:

7/4 and 3/8.

Step-by-step explanation:

You can get this by dividing all possible answers, and if the decimal stops you have a terminating decimal.

9514 1404 393

Answer:

Step-by-step explanation:

Let d represent the number of dimes (the higher-value coin). Then the number of nickels is 40-d, and the total value in cents is ...

  5(40 -d) +10(d) = 290

  200 +5d = 290

  5d = 90

  d = 18

  40 -d = 22

There are 22 nickels (and 18 dimes).

_____

Additional comment

If you write the equation in terms of the number of nickels (n), you end up with the equation -5n = -110. The formulation used above avoids negative numbers, which can be confusing for some people.

In total Victoria worked for [tex]8 \frac{1}{4}[/tex] hours. Therefore, option D is the correct answer.

Given that, Victoria logged in to work at 8:15 am and logged out at 4:25 pm.

A clock or a timepiece is a device used to measure and indicate time. The clock is one of the oldest human inventions, meeting the need to measure intervals of time shorter than the natural units such as the day, the lunar month and the year.

Victoria logged in to work at 8:15 am

8:15 am →9:15 am →10:15 am→11:15 am→12:15 pm→1:15 pm→2:15 pm→3:15 pm→4:15 pm

8:15 am →9:15 am = 1 hour

9:15 am →10:15 am = 1 hour

10:15 am→11:15 am = 1 hour

11:15 am→12:15 pm = 1 hour

12:15 pm→1:15 pm = 1 hour

1:15 pm→2:15 pm = 1 hour

2:15 pm→3:15 pm = 1 hour

3:15 pm→4:15 pm = 1 hour

So, in total Victoria logged in for 8 hours 10 mins

Its nearest quarter is [tex]8 \frac{1}{4}[/tex] hours

In total Victoria worked for [tex]8 \frac{1}{4}[/tex] hours. Therefore, option D is the correct answer.

To learn more about the clock problems visit:

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Answer:

Step-by-step explanation:

Prove that 52n − 1 is divisible by 8 for all n ∈ N.

Solution

To prove by induction, we must

1. Show it is true for n = 1

2. Assume true for n and prove it is true for n + 1.

Let P(n) be the statement 52n − 1 is divisible by 8.

When n = 1, 52 − 1 = 24, which is divisible by 8.

This proves P(1).

Suppose that P(n) is true, i.e., 52n − 1 is divisible by 8.

Then 52(n+1) − 1 = 52

· 5

2n − 1 = 52

(52n − 1) + (52 − 1).

Note that 52n −1 is divisible by 8 using P(n) and also 52 −1 = 24 is divisible

by 8. Thus we have proved that P(n + 1) is true.

We conclude that P(n) is true for all n ∈ N.

Answer:

(4,0)

Step-by-step explanation:

Both lines intersect, or cross, at one point on the graph, which is (4,0). Therefore, that point is a solution to the system of equations.

Hope this helps!

Answer:

I only know what y is, y is 4a, wait I think a is z and z is a. I’m not sure

Step-by-step explanation:

Step-by-step explanation:

value of a :

4a + a = 180°

5a = 180°

a = 36°

value of y :

y = 4a

y = 4(36)

y = 144°

value of z :

z = a

z = 36°

Answer:

[tex]\left\lbrace\begin{aligned}& a_{1} = 7 \\ & a_{n+1} = a_{n} - 3 && \text{for $n \ge 1$}\end{aligned}\right.[/tex].

Step-by-step explanation:

An arithmetic sequence could be defined using only two pieces of information:

The arithmetic sequence in this question is given in the explicit form, [tex]a_{n} = 7 - 3\, (n - 1)[/tex], which is equivalent to [tex]a_{n} = 7 + (-3)\, (n - 1)[/tex]. In the explicit form, [tex]a_{1}[/tex] and [tex]d[/tex] are described in the same equation:

[tex]\text{$a_{n} = a_{1} + d\, (n - 1)$ for $n \ge 1$}[/tex].

Compare [tex]a_{n} = a_{1} + d\, (n - 1)[/tex] with [tex]a_{n} = 7 + (-3)\, (n - 1)[/tex]: [tex]a_{1} = 7[/tex] whereas [tex]d = -3[/tex].

When an arithmetic sequence is given in the recursive form, [tex]a_{1}[/tex] and [tex]d[/tex] are specified in two separate equations:

[tex]\left\lbrace\begin{aligned}& a_{1} = a_{1} \\ & a_{n+1} = a_{n} + d && \text{for $n \ge 1$}\end{aligned}\right.[/tex].

In this question, it was found that [tex]a_{1} = 7[/tex] whereas [tex]d = -3[/tex]. Hence, the corresponding recursive formula for this arithmetic sequence would be:

[tex]\left\lbrace\begin{aligned}& a_{1} = 7 \\ & a_{n+1} = a_{n} + (-3) && \text{for $n \ge 1$}\end{aligned}\right.[/tex].

Answer:

Uaiahauqiqioq0a0a9jJbaab

Answer:

0.84 x 6 = 5.04

Step-by-step explanation:

5.04 is the answer.

Answer:

Answer B is correct

Step-by-step explanation:

We want to multiply 6 and 0.84

First you have to forget about decimals and multiply those two numbers

084

   ×6

-----------------

 =  504

And then consider about the number of decimal places. According this sum you have 2 decimal places ( 0.84 )

And now you can write the answer as

= 5.04

Hope this helps you.

Let me know if you have any other questions :-)

Answer:

x is greater than or equal to 0.

Step-by-step explanation:

The domain is just your X value. In contrast, the range is your Y value. Since we start at and include 0 on the X axis, we continue forever from there. Therefore, X is greater than or equal to 0.

Answer:

a

Step-by-step explanation:

Answer:

85%

Step-by-step explanation:

68 divided by 80 is equal to 68/80.

Divide top and bottom by 4 to get 17/20.

17 divided by 20 is 85%

[tex]\\ \sf\longmapsto GI^2=FI(IH)[/tex]

[tex]\\ \sf\longmapsto GI^2=6(12)[/tex]

[tex]\\ \sf\longmapsto GI^2=72[/tex]

[tex]\\ \sf\longmapsto GI=\sqrt{72}[/tex]

[tex]\\ \sf\longmapsto GI=8.22[/tex]

If FI = 6 and IH = 12. The length of GI = 8.22.

Given: FI = 6 and IH = 12

To estimate the length of GI

[tex]$\mathrm{Gl}^{2}[/tex] = FI (IH)

Simplifying the above equation, we get

[tex]$\mathrm{Gl}^{2}[/tex]= 6 (12)

Remove parentheses: (a) = a

Multiply the numbers then, we get

[tex]$6 \cdot 12=72$[/tex]

[tex]$\mathrm{Gl}^{2}[/tex] = 72

GI = [tex]$\sqrt{72}[/tex]

GI  = 8.22

Therefore, the length of GI = 8.22.

To learn more about triangles length

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Answer:  80

Step-by-step explanation: Well the 60 is too slanted and 90 would be straight 70 would be less straight then it is 80

Answer:

5(x+y) - 2x

this is the algebraic expression

Answer:

Que?

Step-by-step explanation:

I don't speak Español

Answer:

2 2/5.

Step-by-step explanation:

Answer: 36 and 28

Step-by-step explanation:

x + x+2 = 74

2x = 72

x1 = 36

x2 = 28

Answer: 6

Step-by-step explanation:

Answer:

p^2 - p - 12

Step-by-step explanation:

Hope this helps! Pls give brainliest!

Answer:

[tex](p - 4)(p + 3) = {p}^{2} + 3p - 4p - 12 \\ = {p}^{2} - p - 12[/tex]