Michael had $150 in the bank yesterday. Then, Michael bought an expensive designer jacket for $180, but
didn't realize that he overdrew from his bank. His account balance was negative now and he was in debt!
What is the absolute value of his new account balance?

Answer: ΔUTS ≅ ΔRST

Step-by-step explanation:

ΔTSU is congruent to ΔSTR, not ΔUTS

ΔUTS is congruent ΔRST not ΔRTS

ΔUTS ≅ ΔRST

Hope I helped!

Answer:

.36

Step-by-step explanation:

36% -> 36/100 -> .36

Answer:

The rule for the linear function will be:

[tex]f(x) = -2x+5[/tex]

Step-by-step explanation:

We know that linear function can be represented using the slope-intercept formula

y = mx+b

where m is the slope and b is the y-intercept

Given the function is linear

Taking two points from the table to determine the slope

[tex]\mathrm{Slope}=\frac{y_2-y_1}{x_2-x_1}[/tex]

[tex]\left(x_1,\:y_1\right)=\left(1,\:3\right),\:\left(x_2,\:y_2\right)=\left(2,\:1\right)[/tex]

[tex]m=\frac{1-3}{2-1}[/tex]

[tex]m=-2[/tex]

Using the point-slope form of the line equation

[tex]y-y_1=m\left(x-x_1\right)[/tex]

where m is the slope of the line and (x₁, y₁) is the point

substituting the values m = -2 and the point (1, 3)

[tex]y-y_1=m\left(x-x_1\right)[/tex]

[tex]y - 3 = -2 (x-1)[/tex]

[tex]y-3 = -2x+2[/tex]

adding 3 to both sides

[tex]y-3+3 = -2x+2+3[/tex]

[tex]y = -2x+5[/tex]

or

[tex]f(x) = -2x+5[/tex]

Therefore, the rule for the linear function will be:

[tex]f(x) = -2x+5[/tex]

Answer:

82

Step-by-step explanation:

2×m²+10

m²= -6×-6=36

36×2=72+10=82

Hey there!

• If m = –6 then substitute it in the equation where m is at!

2(–6)² + 10

(–6)² = (–6)(–6) = 36

2(36) + 10 =

72 + 10 = 82

Answer: 82 ☑️

Good luck on your assignment and enjoy your day!

~LoveYourselfFirst:)

Given that,

Charge q₁ = -0.004 C

Charge q₂ = -0.003 C

Distance between charges, d = 3 m

To find,

The electrostatic force between charges.

Solution,

The formula for the electrostatic force is given by :

[tex]F=\dfrac{kq_1q_2}{d^2}\\\\F=\dfrac{9\times 10^9\times 0.004 \times 0.003 }{(3)^2}\\\\=12000\ N[/tex]

So, 12000  N of electrostatic force is produced.

This question is based on the concept of electrostatic.Therefore, the electrostatic force produced is 12000 N.

Given:

Charge q₁ = -0.004 C

Charge q₂ = -0.003 C

Distance between charges, d = 3 m

We need to determined the how much electrostatic force produced.

According to the question,

By using the formula for the electrostatic force is given by :

[tex]F = k \dfrac{q_1 \; q_2}{d^2} \\\\F = \dfrac{9 \times 10^9 \times 0.004 \times 0.003 }{3^2} \\\\\bold{F= 12000 \; N} \\[/tex]

Therefore, the electrostatic force produced is 12000 N.

For more details, prefer this link:

https://brainly.com/question/9774180

Answer:

240

Step-by-step explanation:

12x20=240

Answer:

y = 65°

Step-by-step explanation:

equal sides correlate to equal angles

if sides opposite angles 'y' and 65° are the same then their angles are also

Answer:

A

Step-by-step explanation:

Well, this isn't too hard.

Since the left is the negative side (R) and the right is the positive side (S), a positive and a negative with the same number will equal zero if only one of them are negative.

You ALWAYS subtract when there's two different signs.

Answer: acute

Step-by-step explanation:

Any angle less then 90 degrees is acute

Answer:Idek

Step-by-step explanation:

Answer:

The percent of change in the average amount received was 46% and this was a decrease.

Step-by-step explanation:

You can use the following formula to calculate the percentage of change:

% of change = ((New number-Original number) / Original Number) x 100

New number= 5,184

Original number= 9,600

Now, you can replace the values in the formula:

% of change = ((5,184-9,600) / 9,600) x 100

% of change = (-4,416 / 9,600) x 100

% of change = (-0.46) x 100

% of change = -46%

According to this, the answer is that the percent of change in the average amount received was 46% and this was a decrease.

Answer: 61 is a prime number :3

Answer:

Composite.

Step-by-step explanation:

Composite numbers are basically odd numbers. Prime numbers are all even.

Answer:

x = -1 ± √6

Step-by-step explanation:

[tex]x^{2} +2x - 5 = 0[/tex]

Lets use the quadratic formula → [tex]x = \frac{-b + \sqrt{b^{2} - 4ac} }{2a} \:or \frac{-b - \sqrt{b^{2}- 4ac } }{2a}[/tex]

So ,

[tex]x = \frac{(-2) + \sqrt{(2)^{2} - (4\times1\times-5) } }{2\times1} \:or \frac{(-2) - \sqrt{(2)^{2} - (4\times1\times-5) }}{2\times1}[/tex]

[tex]=> x = \frac{-2 + \sqrt{24} }{2} \:or \frac{-2-\sqrt{24} }{2}[/tex]

[tex]=> x = \frac{-2 + 2\sqrt{6} }{2} \:or \frac{-2 - 2\sqrt{6} }{2}[/tex]

Lets take 2 common from numerator.

[tex]=> x = \frac{2(-1 + \sqrt{6}) }{2} \:or \frac{2(-1-\sqrt{6}) }{2}[/tex]

Cancelling 2 from numerator & denominator gives

[tex]x = (-1+\sqrt{6} ) \: or (-1 - \sqrt{6} )[/tex]

Answer:

what kind of question is this? i-

Step-by-step explanation:

yes girls p o o p

Answer:

Yes they do

Step-by-step explanation:

I just needed more points.

Answer:

oop q-q

Step-by-step explanation:

Answer:

y=5x

Step-by-step explanation:

Answer:

yuhhhh thanks brah hehehejejejne

Answer:

Diagonal=11.3m

Area of square (A) =1/2*d^2

=1/2*(11.3)^2

=63.845m^2

We know,

Area of square A= l^2

63.845=l^2

L=

[tex] \sqrt{63.845 } [/tex]

L=7.99m

Now,

Perimeter of square =4l

=4*7.99

=31.96m

Answer:

157.08, so it is the first opition

Step-by-step explanation

Volume of a cone is pie x the radius squared by 2 x the hieght divided by 3

pie x 5^2 x 6/3

pie x 25 x 2

157.08

There are 76 oatmeal cookies:

4 + 11 = 15

285/15 = 19

19 × 4 = 76

Answer:

4

Step-by-step explanation:

The LCM 

The LCM of 12,18,2412,18,24 is 2⋅2⋅2⋅3⋅3=722⋅2⋅2⋅3⋅3=72.

the HCF

The prime factorization of 36 is

2 x 2 x 3 x 3

The prime factorization of 54 is

2 x 3 x 3 x 3

2 x 3 x 3 = 18

72÷18=4

Step-by-step explanation:

The gradient of the perpendicular line is 3.

We have y = 3x + c.

When x = 4, y = 2.

=> (2) = 3(4) + c, c = -10.

Hence the line equation is y = 3x - 10.

Answer: C) 28

Explanation:

The triangles are congruent, so the corresponding pieces are congruent. Specifically the angles on the right side are congruent, as shown by the tickmarks they have in common.

Set those two expressions equal to one another. Solve for x.

2(x+2) = 60

2x+4 = 60

2x = 60-4

2x = 56

x = 56/2

x = 28

The correct value of the variable x is,

⇒ x = 28

A triangle is a three sided polygon, which has three vertices and three angles which has the sum 180 degrees.

Given that;

In the diagram,

ΔGEF and ΔHEF are congruent.

Hence, We can formulate;

⇒ 2 (x + 2) = 60°

⇒ 2x + 4 = 60

⇒ 2x = 60 - 4

⇒ 2x = 56

⇒ x = 28

Thus, The correct value of the variable x is,

⇒ x = 28

Learn more about the triangle visit;

brainly.com/question/1058720

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Answer:

The definition of voyage is      

Step-by-step explanation:

Voyage- A long journey involving  travel by see or in space

Answer:

Step-by-step explanation:

9/13.5

Answer:

k = y/x

k = 30/2

k = 15 <=== constant of proportionality

Step-by-step explanation:

Answer:

answered

Step-by-step explanation: