Simplify the expression

Answer:

7.28 units

Step-by-step explanation:

Using the Pythagorean theorem, [tex]a^{2} + b^{2} = c^{2}[/tex], we get:

[tex]2^{2}+7^{2}=c^{2}\\4+49=c^{2}\\53=c^2\\\sqrt{53}=c\\c=\sqrt{53}[/tex]

[tex]\sqrt{53}[/tex] ≈ 7.28

Answer:

Value of k is 9

Step-by-step explanation:

-2x + 8 = -10

-2x = -10 - 8

-2x = -18

x = -18/-2

x = 9

f(x) = f(k)

x = k

9 = k

Hello there!

We are given the function:

[tex] \displaystyle \large{f(x) = - 2x + 8}[/tex]

We want to find the value of k. First, we know that f(k) is -10. We substitute x = k and f(x) = -10.

[tex] \displaystyle \large{f(k) = - 2k + 8} \\ \displaystyle \large{ - 10 = - 2k + 8}[/tex]

Solving the equation. First, we subtract both sides by 8.

[tex] \displaystyle \large{ - 10 - 8 = - 2k +8 - 8} \\ \displaystyle \large{ - 18 = - 2k} \\ [/tex]

Divide both sides by -2.

[tex] \displaystyle \large{ \frac{ - 18}{ - 2} = \frac{ - 2k}{ - 2} } \\ \displaystyle \large{ 9= k}[/tex]

Therefore, k = 9

When we substitute k = 9 in f(k), the value is -10.

Let me know if you have any questions!

Topic: Linear Function

Answer:

7÷(-84)=(-12).........

Answer:

2nd option

Step-by-step explanation:

Given

2x - 6 = 22 ( isolate the x- term by adding 6 to both sides )

2x = 28 ( divide both sides by 2 )

x = 14

Answer:

Add 6 to both sides, then divide by 2. The solution is x = 14

Step-by-step explanation:

Add 6 to both sides:

[tex](2x - 6) + 6 = 22 + 6 \\ 2x = 28[/tex]

And then divide by 2:

[tex] \frac{2x}{2} = \frac{28}{2} [/tex]

The solution is 14

[tex]x = 14[/tex]

These circles are tangent .

Two circles are tangent to each other if they have only one common point. Two circles that have two common points are said to intersect each other. Two circles can be externally tangent if the circles are situated outside one another and internally tangent if one of them is situated inside the other.

According to the question

These circles are :

A > Concentric

This option is incorrect because circle are concentric if and only if they have common center .

B> none of these

This option is incorrect .

C > Tangent

This option is correct as Two circles are tangent to each other if they have only one common point and in the figure there is only one common point between both circles .

D> Congruent

This option is incorrect as this two circles have different size but in congruent both circle should be same size which is not possible here.

Hence, These circles are tangent .

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Answer:

x2−10 because the area expression can be rewritten as (x2−10)(x2+10) which equals (x2−10)((x2−10)+20).

Step-by-step explanation:

Step-by-step explanation: The area of the rectangle is , which can be factored as , because it's the difference of two perfect squares. But, we know that , where is the length and is the width.

Answer:

Step-by-step explanation:

1. [tex]4x - 7y = - 5[/tex]

[tex]4x = - 5 + 7y[/tex]

[tex]\boxed{\green{x = - \frac{5}{4} + \frac{7}{4} y}}[/tex]

[tex]y E R[/tex]

○○•○○

2. [tex]3x - 2y = - 7[/tex]

[tex]3x = - 7 + 2y[/tex]

[tex]\boxed{\green{x = - \frac{7}{3} + \frac{2}{3} y}}[/tex]

[tex]y E R[/tex]

Answer:

x = - 11

Step-by-step explanation:

Take the square root of both sides.

sqrt(x+4)^2 = sqrt(49)

x + 4 = +/- 7

x + 4 = + 7

x = 3                 Not what you want.

x + 4 = - 7

x = - 11

1/4 × s = 15

s = 15 : 1/4

s = 15 × 4

s = 60

[tex]\boxed{\underline{\bf \: ANSWER}}[/tex]

[tex] \sf \: \frac{1}{4s} = 15 \\ [/tex]

Variable s cannot be equal to 0 as division by zero is not defined. Multiply both sides of the equation by 4s.

[tex] \sf \: 1=60s [/tex]

Swap sides so that all variable terms are on the left-hand side.

[tex] \sf \: 60s=1 [/tex]

Divide both sides by 60.

[tex] \sf \: s= \boxed{ \bf\frac{1}{60}}\:\sf\approx 0.0166... \\ [/tex]

__________

Hope it helps.

гคเภ๒๏ฬรคlt2222

Answer:

21°

angles remain the same in dilutions but lengths don't

plss mark me brainliesttt

Answer:

Step-by-step explanation:      Try to solve it urself by putting necessary formulas of algebra that are in your textbook. thankyou!!!!!

Answer:

x^2-7x+4

Step-by-step explanation:

4x^2 -3^2 is basically 4-3, leaving you with 1.

-3x-4x, you're adding to the negative value of -3x, giving -7x.

-4-(-8), a little tricky at first. a trick that i was taught is if you're subtracting a number with a negative number, treat it as if you're adding, therefore -4-(-8) = -4+8, giving you a positive 4.

Answer:

50+(20 x a)

Step-by-step explanation:

Answer:

a > b

Step-by-step explanation:

3 > -2

a > b

The absolute value of inequality is 180 ≤  x ≤  200 and its solution lies in [180, 200].

Linear inequality refers to the relation between a linear algebraic expression to some known value that contains inequality sign.

Unlike a linear equation it can have a range of values inside an interval.

Suppose the operating temperature be x.

Then, as per the question the absolute difference of the temperature and 190°F is within 10°F.

It can be written in the form of inequality as follows,

|x - 190| ≤ 10

⇒ x - 190 ≤ 10 and  x - 190 ≥ -10

⇒ -10 ≤ x - 190 ≤ 10

⇒ -10 + 190 ≤ x ≤ 10 + 190

⇒ 180 ≤  x ≤  200

Thus, the range of acceptable temperatures lie in [180, 200].

Hence, the absolute value of inequality and its solution are given by  180 ≤  x ≤  200 and [180, 200] respectively.

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[tex] \large \mathfrak{Solution : }[/tex]

Distance between the places is :

Time taken to cover that distance is :

Average speed of the cyclist will be :

Avg speed = 20 km / h

Answer:

I would have psychic powers so I could have multiple powers.

Fraction: 1/11, Numerator: 1

Step-by-step explanation:

Answer:

∠ 1 = 36°

Step-by-step explanation:

Supplementary angles sum to 180° then

∠ 2 + ∠ 3 = 180° , that is

∠ 2 + 126° = 180° ( subtract 126° from both sides )

∠ 2 = 54°

Complementary angles sum to 90° , then

∠ 1 + ∠ 2 = 90° , that is

∠ 1 + 54° = 90° ( subtract 54° from both sides )

∠ 1 = 36°

Answer:

lunch 28 breakfast 10 n both 12

Step-by-step explanation

Answer:

2y is a coefficient.

9 is a constant.

6x and 5x are like terms.\

2y is term

these are the ones right

Step-by-step explanation:

Answer:

9 is a constant

6x and 5x are like terms

2y is a term

These are the true statements.

Step-by-step explanation:

the coefficient is only the number in a term

the constant is a number by itself in an expression.

The answer is 407.5, it's an exponential decay function

Answer:

No

Step-by-step explanation:

Inverse f(x) into f(x)^-1.

x = 2y + 4

Solve for y.

x -4 = 2y

x/2 - 2 = y

y = x/2 - 2

No.

The answer is infinitely many solutions because 0 = 0.

If you don't seem to see where I got 0 = 0, look at the equation,

4b – 4b = 0

first lets do the math on the left side.

4b - 4b  is equal to 0.

so lets put 0 on the left side, now lets look at the equation all together,

0 = 0,

and this means that it has infinitely many solutions.

The reason why it is not no solution because no solution means when there are no answers to the equation. For example, the solution is not true, such as the equation 24 ≠ 29. This is a no solution equation. One solution can be 4x = 20, as x = 5, concluding it being one solutions.

Answer:

the first one: The coordinates of A' are (-2, 3)

and the last one: The coordinates of B' are (-2, 0) and the coordinates of C' are (2, -1).

Step-by-step explanation:

when you rotate a triangle counterclockwise by 90° you swap the numbers of the x and y coordinates.

like how the coordinates of B' were (0, 2) and became (-2,0) once the triangle was rotated.

Answer:

sound great so whats your question

Step-by-step explanation: