Applying L'Hospital's rule is not allowed

Answer:

[tex](x-4)^2+(y-3)^2=25[/tex]

Step-by-step explanation:

We want to find the equation of a circle who diameter is the segment between the intercepts of the linear equation:

[tex]3x+4y=24[/tex]

Find the intercepts first. To find the x-intercept, let y = 0:

[tex]3x+4(0)=24\Rightarrow 3x=24\Rightarrow x=8[/tex]

The x-intercept is (8, 0).

To find the y-intercept, let x = 0:

[tex]3(0) +4y=24\Rightarrow 4y=24\Rightarrow y=6[/tex]

The y-intercept is (0, 6).

Since this segment is the diameter, its midpoint is our center.

Find the midpoint between (8, 0) and (0, 6). The midpoint formula is given by:

[tex]\displaystyle M=\left(\frac{x_1+x_2}{2}, \frac{y_1+y_2}{2}\right)[/tex]

Hence, the center of the circle is:

[tex]\displaystyle M=\left(\frac{8+0}{2}, \frac{0+6}{2}\right)=(4, 3)[/tex]

To find the radius of our circle, we can find the diameter and divide it by two.

The diameter is the length of the segment or the distance from (0, 6) to (8, 0).

Find the distance using the distance formula:

[tex]d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2[/tex]

So, the diameter of our circle is:

[tex]d=\sqrt{(8-0)^2+(6-0)^2}=\sqrt{64+36}=\sqrt{100}=10[/tex]

Therefore, the radius of our circle is 5.

The equation for a circle is given by:

[tex](x-h)^2+(y-k)^2=r^2[/tex]

Where (h, k) is the center and r is the radius.

Our center is (4, 3) and our radius is 5.

Therefore:

[tex](x-4)^2+(y-3)^2=25[/tex]

the height of the prism is 12 centimeters

Answer:

meta beta

Step-by-step explanation:

diem ryugudnhkng.

Answer:

B: 12 + 2y

Step-by-step explanation:

9 + y + y + 3

You can rearrange this expression to show:

(9 + 3) + (y + y)

To solve, you add all the like parts together.

(12) + (2y)

12 + 2y

percent of increase in students is 27.525%

Answer:

Solution given:

first total no of students [FD]=396

next total no of students [ND]=505

increase %=?

we have

increase %=[tex]\frac{ND-FD}{FD}×100=\frac{505-396}{396}×100=27.525%[/tex]%

Increase in students

Percentage increase

Answer:

[tex]6(x+9)^{2}[/tex]

Step-by-step explanation:

6 x^2+108 x  +486

6(x^2+18 x  +81)

6(x+9)(x+9)

[tex]6(x+9)^{2}[/tex]

Answer:

[tex]6(9+x {)}^{2} [/tex]

Step-by-step explanation:

[tex]486+108x+6x ^{2} [/tex]

[tex]6 \times 81+108x+6 {x}^{2} [/tex]

[tex]6(81+18x+ {x}^{2} )[/tex]

[tex]6(9+x {)}^{2} [/tex]

Answer:

answer is 18.76 percent.

Step-by-step explanation:

CP= $40

SP= $32.5

Markdown percent=?

now,

markdown %= CP-Sp/CP×100%

=7.5/40×100%

=750/40

=18.75%

The amount to be reduced is:  $40 -  $32.5 =  $7.5

The percentage decrease is: (7.5 : 40) * 100 = 18.25%

Answer:

yes

Step-by-step explanation:

it passes the verticle line test which states that if you put a verticle line anywhere on the graph it will only have one point in where the two lines intersect

Answer:

$7.50

Step-by-step explanation:

25% of $30 is $7.50

Answer:

7.50

Step-by-step explanation:

100%-> 30

1%->0.30

25%-> 7.50

Answer:

1 3/4 acres

Step-by-step explanation:

6 1/2 - 4 3/4 = the remaining acres to be fenced.

we can bring all numbers to "quarters" (1/4th) to be able to make that subtraction.

6 1/2 = 13/2 = 26/4

4 3/4 = 19/4

so, 26/4 - 19/4 = 7/4 = 1 3/4 acres still to be fenced.

Answer:

here u go

Step-by-step explanation:

8.98 x 10^6

[tex]\longrightarrow{\green{ \: x = - 25 }}[/tex] 

[tex]\sf \bf {\boxed {\mathbb {Step-by-step\:explanation:}}}[/tex]

[tex] \frac{ - 2}{5} (x + 10) = 6[/tex]

➺ [tex] \: - 2 \: (x + 10) = 6 \times 5[/tex]

➺ [tex] \: - 2x - 20 = 30[/tex]

➺ [tex] \: - 2x = 30 + 20[/tex]

➺ [tex] \: - 2x = 50[/tex]

➺ [tex] \: x = \frac{50}{ - 2} [/tex]

➺ [tex] \: x = - 25[/tex]

Therefore, the value of [tex]x[/tex] is -25.

[tex]\sf \bf {\boxed {\mathbb {To\:verify:}}}[/tex]

[tex] \frac{ - 2}{5} ( - 25 + 10) = 6[/tex]

➺ [tex] \: \frac{ - 2( - 15)}{5} = 6[/tex]

➺ [tex] \: \frac{30}{5} = 6[/tex]

➺ [tex] \: 6 = 6[/tex]

➺ [tex] \: L.H.S.=R. H. S[/tex]

Hence verified.

[tex]\large\mathfrak{{\pmb{\underline{\red{Mystique35 }}{\red{❦}}}}}[/tex]

Answer:

Step-by-step explanation:

x = 55

x + 55 = 110

x + 20 = 75

x + 65 = 120

Answer:

x°=130°

The sum of two opposite angles in a quadrilateral is 180

⇒x+55°+x+65°=180°

⇒2x+120°=180°

⇒2x=60°

⇒x=30°

Có x+20 °+x°=180°

⇒30°+20°+x°=180°

⇒x°=130°

Answer:

(3x - 5)²

Step-by-step explanation:

When we expand (3x - 5)², we get:

(3x - 5) (3x - 5)

When we multiply, we get:

9x² - 30x + 25

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Have a great summer :)

Answer:(3x-5)(3x-5)

Step-by-step explanation: it's the answer for

Answer:

- 6

Step-by-step explanation:

Given the integers : 12,-6,8,-5,7,-4,3

To obtain which one falls on the extreme left, the integers are arranged in ascending order, and the least value is chosen as this is the number which falls to the extreme left of arranged on a number line.

Ordered value in ascendibg order :

-6, -5, -4, 3, 7, 8, 12

The value which will. Fall. On the extreme left is : - 6

Answer:

Option 1

Step-by-step explanation:

Take

[tex]10 {}^{11} [/tex]

common out.

[tex](5.29 - 3.86) \times 10 {}^{11 } \\ 1.43 \times 10 {}^{11} [/tex]

Answer: a

Step-by-step explanation: edge 2023

Answer:

1

Step-by-step explanation:

5-4 = 1

4.5-4 = 0.5

2.5-4 = -1.5 but use absolute value which is +1.5

add all three values together:

1 + 0.5 + 1.5 = 3

3÷3 = 1

Answer:

-1,024

Step-by-step explanation:

4×2=8

8×2=16

and so on repeating 7 times

Answer:

(a) 3

(b) 3+5÷2 =4

Step-by-step explanation:

(a) you look at which number appears the most on the data in this case it's 3 it appeares three times in the data compared to other numbers.

(b) arrange the data in ascending order divide the data equally to find the number in the middle if the are two numbers you simply add them and divide by 2 to get your median.

Answer:

18.9

Step-by-step explanation:

Start with parentheses.

4/5 + 3/5 = 7/5

Simplify 7/5, 7/5 = 1 2/5

Next numbers.

3.5 x 5 = 17.5

Add.

17.5 + 1 2/5 = 18.9

Answer:

$3 (not exact, this is an estimate)

Step-by-step explanation:

Since it is estimate, it is not the exact amount. 20% is 1/5 and 15/5 = 3 so 1/5 or 20% is 3.  the best estimate for the amount of tip is $3.

Answer:

It's B and E

Step-by-step explanation:

Answer:

C.

[tex]x = 2( \sqrt{ {6}^{2} - {4}^{2} } ) \\ x = 2( \sqrt{20} ) \\ x = 8.9[/tex]

Answer:

(x+5)²+(y+7)²=4

Step-by-step explanation:

just count it

Answer:

Step-by-step explanation:

using pythagoras theorem

a^2 + b^2 = c^2

B^2 + 8^2 = 15^2

B^2 + 64 + 225

B^2 = 225 - 64

B^2 = 161

B = [tex]\sqrt{161}[/tex]    OR  12.7

Answer:

Step-by-step explanation:

How to add a great answer

ADD YOUR ANSWER

Question

Find the coordinates of the

x

-intercepts for the equation of the graph below.

y

=

x

2

+

9

x

Answer:

46 is the answer

Step-by-step explanation:

because 154-108=46