Find the slope of this line

Answer:

11.since diagonal are equal of rectangle

QS=RT

4x+6=6x-4

6+4=6x-4x

2x=10

x=10/2

x=5

now

diagonal :4x+6=4*5+6=26

12.

again

QS=RT

9x+12=11x-10

12+10=11x-9x

2x=22

x=11

now

diagonal=9*11+12=99+12=111

Original price = 3300

sale = 20% = 3300×20/100 = 660

Selling price= 3300-660= 2640 rs

the sale price of the bicycle is 2640 Rs

Answer:

the population means are known the population variances are assumed equal but unknown

Step-by-step explanation:

If σ1= σ2  (= σ)  but unknown , then the biased pooled or combined estimate of the common variance σ² ( the term common variance means that each population has the same variance ) is given by

Sp²= (n1-1) s1² + (n2-1) s2²/ n1+ n2- 2

So first assumption is correct.

When the population variances are assumed unequal and unknown

If σ1 ≠ σ2    but unknown

we use the sample estimates s1 and s2 to compute the standard error of the difference between the means.

S(x1`- x2`) = √s1²/ n1 + s2²/n2

So this is does not apply here.

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

Explanation:

distance = rate*time

90 = r*t

where r is the slower speed and t is the time it takes when going that slower speed.

If r is bumped up 24 mph faster, to r+24, then Santos takes t-12 hours to get there. The second equation is

90 = (r+24)(t-12)

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

We can solve the first equation for r to get r = 90/t

Then plug this into the second equation and do a bit of algebra

90 = (r+24)(t-12)

90 = (90/t+24)*(t-12)

90 = 90 - 1080/t + 24t - 288

90t = 90t - 1080 + 24t^2 - 288t

0 = 90t - 1080 + 24t^2 - 288t-90t

0 = 24t^2 - 288t - 1080

24t^2 - 288t - 1080 = 0

If you apply the quadratic formula, then you should get the two solutions t = -3 and t = 15. Due to time constraints, I'll skip these steps.

We'll ignore the negative t value. It makes no sense to have a negative time.

So we focus on t = 15 as the only solution.

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

If t = 15, then,

r = 90/t

r = 90/15

r = 6

Santos rode his bike at 6 mph at first. Going this speed means he takes 15 hours.

If he rode 24 mph faster, at 6+24 = 30 mph, then he would ride for 15-12 = 3 hours instead. Note that 90/30 = 3.

Answer:

Option C: (3*x)^2 = 324

Step-by-step explanation:

Janene is solving the equation:

Log₃ₓ(324) = 2

First, some rules we need to remember:

Logₙ(x) = Ln(x)/Ln(n)

and:

Ln(x^b) = b*Ln(x)

So we can rewrite our expression as:

Log₃ₓ(324) = Ln(324)/Ln(3*x) = 2

Ln(324) = 2*Ln(3*x)

Now we can use the second property:

Ln(324) = 2*Ln(3*x) = Ln( (3*x)^2 )

The arguments in both sides must be the same thing, then:

324 = (3*x)^2

This is the exponential equation she needs to solve.

Then the correct option is C.

Hi there!  

»»————-　★　————-««

I believe your answer is:

"1. Two less than seven times a number equals thirty-three."

»»————-　★　————-««  

Here’s why:  

⸻⸻⸻⸻

[tex]\boxed{\text{Breaking the equation down:}}\\\\7x-2=33\\-------\\\rightarrow \text{'7x' - Seven times a number. The unknown value is 'x'.}\\\\\rightarrow \text{' - 2' - Minus 2.}\\\\\rightarrow \text{'= 33' - Equals 33.}\\---------\\\text{The phrase "'X' less than 'Y'" indicates:}\\\\Y - X \\---------\\\text{Two less than 7 times a number would be:}\\\\\boxed{7x - 2}[/tex]

⸻⸻⸻⸻

The first statement should be the appropriate statement for the given equation.

»»————-　★　————-««  

Hope this helps you. I apologize if it’s incorrect.  

Step-by-step explanation:

X=7 or x=5

It might be two answer to this question

[tex]\huge\textsf{Hey there!}[/tex]

[tex]\large\textsf{(x - 7) (x - 5)}[/tex]

[tex]\large\text{DISTRIBUTE each of the numbers}[/tex]

[tex]\large\textsf{x(x) + (-5)x + (-7(x) + (-7)(-5)}[/tex]

[tex]\large\textsf{x(x) = \bf x}\bf ^2[/tex]

[tex]\large\textsf{x(-5) = \bf -5x}[/tex]

[tex]\large\textsf{-7(x) = \bf -7x}[/tex]

[tex]\large\textsf{(-7)(-5) = \bf 35}[/tex]

[tex]\mathsf{x^2 - 5x -7x + 35}[/tex]

[tex]\large\text{COMBINE the LIKE TERMS}[/tex]

[tex]\mathsf{x^2 -(5x - 7x) + 35}[/tex]

[tex]\mathsf{-5x -7x = \bf -12x}[/tex]

[tex]\mathsf{x^2 - 12x + 35}[/tex]

[tex]\boxed{\huge\text{Answer: \bf x}^2 \huge\text{\bf - 12x + 35}}\huge\checkmark[/tex]

[tex]\large\text{Good luck on your assignment and enjoy your day!}[/tex]

~[tex]\frak{Amphitirite1040:)}[/tex]

Answer:

7 or 8 days

Step-by-step explanation:

The answers is correct ⬆️

2.897

This should be you're anwser.

Answer:

Step-by-step explanation:

Hope this helps u!!

Answer: [tex]10.8\ ft[/tex]

Step-by-step explanation:

Given

A model car is built with a scale of 1 inch: 4 feet

If the length of the model car is 2.7 inches

Suppose the length of the car is l

[tex]\therefore \dfrac{1}{4}=\dfrac{2.7}{l}\\\\\Rightarrow l=2.7\times 4\\\Rightarrow l=10.8\ ft[/tex]

Therefore, the length of the car is [tex]10.8\ ft[/tex]

Answer:

Between 0 and 3: decreasing

Between 3 and 4: constant (stays the same)

Between 4 and 8: decreasing

Step-by-step explanation:

Answer:

A = 7

Step-by-step explanation:

√50 = 7.07

approximating it will give you

= 7

Answer:

I THINK it's B 1/2

Step-by-step explanation:

Sorry if wrong

Answer:

In this case, D

Step-by-step explanation:

Sin(30+60)=0.8939966636 which can be rounded to 0.89.

Now that we got that out of the way, we supposedly can follow the process of elimination.

It's clearly not A since we know the answer isn't equivalent to zero.

1/2 equals 0.5, meaning B's also not it.

We also know the answer isn't D, since 0.89 does not equal 1.

That only leaves C. Yet when check, just in case, √3/2 equals 1.22474487, meaning that's not the answer.

We've eliminated every answer so far, meaning we should go back and check our work. As I stated earlier, 0.8939966636 can be rounded to 0.89, but it can also be rounded to 1. Meaning, the closest answer to what we're looking for is D.

Of course, there could always be an error in the question itself, but unfortunately, there's no way to confirm that without asking your instructor or tutor.

I hope that helps.

9514 1404 393

Answer:

  19.6 in²

Step-by-step explanation:

The area in terms of the diameter is given by ...

  A = (π/4)d²

  A = π/4(5 in)² = 25π/4 in² ≈ 19.6 in²

Answer:

x=+[tex]\frac{\sqrt{4y-7}-1 }{2}[/tex]

Step-by-step explanation:

Quadratic function =( -b+[tex]\sqrt{b^2+4ac}[/tex]  )/2a

x^2+x+2-y=0

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

x=-1+[tex]\sqrt{4y-7}[/tex] /2

x=+ [tex]\frac{\sqrt{4y-7}-1 }{2}[/tex]

Pretty sure this is right. Would appreciate a brainliest

Answer:

56

Step-by-step explanation:

Simple just move the semicircle into the empty spot and there you go.

Answer:

Step-by-step explanation:

take angle x as reference angle

using sin rule

sin x=opposite/hypotenuse

sin x=11/13

sin x=0.846

x=sin 57.8

x=57.8 degree

Answer:

2

Step-by-step explanation:

you have to dived 3/4 by 3/8= 24/12=2

Answer:

88+94+80+79+74+83=

answer divided by 100 then get the answer

Answer:

b) y=60x + 100

Step-by-step explanation:

Answer:

La respuesta correcta es la opción C: 91 cm³.

Step-by-step explanation:

La fórmula del volumen de un cubo es la siguiente:

[tex] V = a^{3} [/tex]

En dónde:

a: es cada lado del cubo = 4,5 cm

Entonces, el volumen del cubo es:

[tex] V = a^{3} = (4,5 cm)^{3} = 91.1 cm^{3} \approx 91 cm^{3} [/tex]

Por lo tanto, la respuesta correcta es la opción C: 91 cm³.  

Espero que te sea de utilidad!

Answer:

B) -3

Step-by-step explanation:

The coefficient is the numerical value placed before and multiplying the variable (x).

Answer:

-3

Step-by-step explanation:

that's answer

hope it helps

Answer:

$27-$15

= $12

$3 per hour

$12÷$3

=4 hours

Jessica rent the bike for 4 hours.

Answer:

x=28

Step-by-step explanation:

[tex]\huge\bold{To\:find:}[/tex]

✎ The value of [tex]x[/tex].

[tex]\large\mathfrak{{\pmb{\underline{\orange{Solution}}{\orange{:}}}}}[/tex]

[tex]\sf\purple{The\:value\:of\:x\:is\:28°. }[/tex]

[tex]\large\mathfrak{{\pmb{\underline{\red{Step-by-step\:explanation}}{\orange{:}}}}}[/tex]

Since it is right-angle,

[tex]Sum \: of \: angles \: = 90° \\ ⇢ (2x + 1) + 33 ° = 90° \\ ⇢2x + 34° = 90° \\ ⇢2x = 90° - 34° \\⇢ 2x = 56° \\⇢ x = \frac{56° }{2} \\ ⇢x = 28° [/tex]

[tex]\sf\blue{Therefore,\:the\:value\:of\:x\:is\:28°.}[/tex]

[tex]\huge\bold{To\:verify :}[/tex]

[tex](2x + 1) + 33° = 90° \\ ➡ \: 2 \times 28° + 1 + 33° = 90° \\ ➡ \: 56° + 34° = 90° \\ ➡ \: 90° = 90° \\ ➡ \: L.H.S.=R. H. S[/tex]

Hence verified.

[tex]\circ \: \: { \underline{ \boxed{ \sf{ \color{green}{Happy\:learning.}}}}}∘[/tex]