Use the point–slope formula to write an equation of the line that passes through(-5, -16 )and has a slope of m=3. Write the answer in slope–intercept form (if possible).

Answer:

[tex](5+3\sqrt{2} )^{2} =43+30\sqrt{2}[/tex]  

≈85.43

Step-by-step explanation:

apply the binomial theorem to the square

[tex]=(5)^{2} +2(5)(3\sqrt{2} )+(3\sqrt{2} )^{2}[/tex]

[tex]=25+30\sqrt{2} +18\\[/tex]

[tex]=43+30\sqrt{2}[/tex]

≈85.43

Hope this helps

Hello!

Here, we apply the algebraic identity :

[tex]\boxed {(a + b)^{2} = a^{2} + 2ab + b^{2}}[/tex]

Let's solve!

⇒ (5 + 3√2)²

⇒ (5)² + 2(5)(3√2) + (3√2)²

⇒ 25 + 30√2 + 18

⇒ [tex]\boxed {43 + 30\sqrt{2}}[/tex]

∴ The final answer will be 43 + 30√2.

Answer:

y=5x+13

Step-by-step explanation:

when x=-3, y=-2, and when x=-2,  y=3. we know that every time x increases by 1, y also increases by 5. This means that the slope is 5. to find the y-intercept, we need x to be 0. to find that, increase x by 2. if x increases by 2, then y would also increase by 10. add 10 to 3 and add 2 to -2 to get x=0 and y=13. the coordinates would be (0,13). the y-intercept is 13. now that we have enough information, we can conclude that y=5x+13. To check your answer, plug in the values for x.

Answer:

22 [in.²]

Step-by-step explanation:

1. the required area can be calculated as

A=A1-A2, where A1- area of big quadrilateral, A2-area of the small quadrilateral;

2. A=5*8-3*6=40-18=22 [in²].

Answer:

A ∩ (B U C) = {b , e , i}

Step-by-step explanation:

A = {b , e , g , i}

B = {a , b , e , f}

C = {a , e , i , j}

We note B U C ,The union of the two sets B and C

which is the set that contains all elements

that are in B or in C .

The easiest way to determine B U C :

Step1 : (write all the elements of B and C side by side)

B U C = {a , b , e , f , a , e , i , j}

Step2 : (delete the repeated elements)

B U C = {a , b , e , f , i , j}

FINDING A ∩ (B U C) :

it’s the set of elements that exist in both sets

A and B U C simultaneously:

A = {b , e , g , i}

B U C = {a , b , e , f , i , j}

Then

A ∩ (B U C) = {b , e , i}

-1/2

Step-by-step explanation:

m = y2-y1/x2-x1

-3+2/3-1

m=-1/2

Hii!

_________________________________________________________________

Answer: Slope = 2 - Choice [C] ✅

Step-by-step explanation:

Do you need to know the slope of the line through (1,-2) and (-3,-2)? No problem! Luckily, there's a formula to find this!

The slope formula "[tex]\sf \cfrac{y2-y1}{x2-x1}[/tex]", is the formula we'll use to find the slope.

Let's stick in the values we know

[tex]\sf m= \cfrac{-2-2}{-3-(-1)}[/tex]

Simplify

[tex]\sf m=\cfrac{-4}{-3+1}[/tex]

Simplify

[tex]\sf m=\cfrac{-4}{-2}[/tex]

[tex]\sf m= \cfrac{4}{2}[/tex]

[tex]\sf m=2[/tex] ✅

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Hope that this helped! Best wishes.

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Answer:

Step-by-step explanation:

money given to children=1300x5

                                        =6500

total money =6500+450

                    =6950

Your contribution margin is $2.68 considering the price of the braised ribs and the cost of the components.

Selling price per unit less variable cost per unit equals contribution margin, often known as dollar contribution per unit. The amount of sales income referred to as "Contribution" is the fraction that is not used to pay variable expenses and hence helps to cover fixed costs.

Given ingredients for your braised greens cost 1.32$ and sells at $4

We have to find contribution margin on that

The difference between a venture's variable costs and its selling price is the contribution margin:

= Selling price - Variable cost

The selling cost is $4 and the variable costs are $1.32.

Therefore Contribution margin is as follow:

= 4 - 1.32

= $2.68

Hence your contribution margin is $2.68 considering the price of the braised ribs and the cost of the components.

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The equation of a=P(1.3)^{x/x} is mathematically given as

a=1.3P or P=a/1.3

Generally, the equation for the statement is mathematically given as

a=P(1.3)^{x/x}

Therefore,

a=P(1.3)^{x/x}

a=P(1.3)^1

a=Px1.3

a=1.3P or P=a/1.3

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Answer:

5x - 10

Step-by-step explanation:

→ Find the sum of the expression

3x - 4 + 2x - 6

→ Collect all the x terms

3x + 2x - 4 - 6

→ Simplify

5x - 10

Answer:

first one L second one D

Step-by-step explanation:

Answer:

4^3 written in expanded form is 4*4*4

Mark as Brainliest please

Answer: 64

Step-by-step explanation:

Hii!

Do you need to know what 4^3 written in expanded form is? No problem!

4^3=4*4*4 (the ^3 tells us to multiply the base (which is 4 here) times 3)

The answer is 64.

Hope that this helped! Best wishes.

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Answer:

a) [tex]\frac{450}{100}[/tex] x 45 = 202.5g of sugar is in the can

b)[tex]\frac{4}{100}[/tex] x 80 = 3.2L is left

c)[tex]\frac{2400}{100}[/tex] x 70 = 1480 acres were planted with wheat

a. 202.5g

Since 45% of the energy drink is sugar

⇒ 45% of the total 450 grams will be made up of sugar

∴ sugar = [tex]\frac{45}{100}[/tex] * 450

             = 202.5g

Thus, the can contains 202.5g of sugar

b. 3.2L

Since Simon used up 20% of the paint, the paint left in the can will now be 80% of the original 4 liters

∴ paint left = [tex]\frac{80}{100}[/tex] * 4

                  = 3.2L

Thus, the can has 3.2 liters of paint left.

c. 1680 acres

Here, 30% of the farmer's crop is and the rest is wheat

⇒ 70% is wheat

Total acres of land planted= 2400

∴ Acres planted with wheat = [tex]\frac{70}{100}[/tex] *2400

                                              = 1680 acres

Thus 1680 acres is planted with wheat

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The tangent or tanθ in a right-angle triangle is the ratio of its perpendicular to its base. The length of the tree is 23.66 meters.

The tangent or tanθ in a right-angle triangle is the ratio of its perpendicular to its base. it is given as,

[tex]\rm Tangent(\theta) = \dfrac{Perpendicular}{Base}[/tex]

where,

θ is the angle,

Perpendicular is the side of the triangle opposite to the angle θ,

The base is the adjacent smaller side of the angle θ.

Let the height of the tree be represented by x.

The length of the shadow when the angle of elevation is 45°.

Length of shadow = x/ Tan(45°)

The length of the shadow when the angle of elevation is 60°.

Length of shadow = x/ Tan(60°)

Now, since the difference between shadows is 10 meters. Therefore, we can write,

x/ Tan(45°) - x/ Tan(60°) = 10m

x[1/ Tan(45°) - 1/ Tan(60°) ] = 10 m

x (0.42265) = 10 m

x = 23.66 m

Hence, the length of the tree is 23.66 meters.

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Answer:

Answer:

2.48 seconds

Step-by-step explanation:

See attached

Answer:

D

Step-by-step explanation:

0.0378÷0.21=0.18

this is 18 hundredths

but its 180 thousandths

Explanation:

Now--this is an awfully odd way to word a question.

BUT, it is solvable!

digits have "place values" in numbers, let's focus on after the decimal point:

_ . _ _ _ _ _ '

we know this can go on forever, but we don't need it to (for this problem, that is)

_ . _ _ _

_ . {tenths} {hundredths} {thousandths} ........

we want to know how many thousandths we have:

the answer to this problem (0.0378 / 0.21) is 0.18

{let's consider what we know about place values:}

"10" can be thought of as ten-ones

and "1" can be thought of as ten tenths

{the reason it's always ten __ is that we use a base-ten system, and there are only ten options for each digit [0, 1, 2, 3, 4, 5, 6, 7, 8, 9] }

so, 10 could be thought of as ten ones, which could each be thought of as ten tenths--meaning that 10 is the same thing as 100 tenths

[if you ignore the decimal point, it becomes more clear]:

10.0 [100]

likewise, 10.00 is 1000 hundredths; and 10.000 is 10,000 thousandths

--------

okay, back to our problem:

how many thousandths make up 0.18?

Let's write this out to the thousandths place:

0.180

if we use our tactic of ignoring the decimal, we are left with 0180 [of course, a "0" before a number has no value, so we can rewrite it as 180], or 180

so, 0.18 is really composed of 180 thousandths, which is how option D is the answer

hope this helps!! :)

{let me know if there's anything else you would like me to explain about this!}

Answer:

1.9x10^8

hope I helped

Answer:

0.0000000019= 1.9*10^ -9

Answer:

something like below

Step-by-step explanation:

(12n) - (n * 10/100 )

The equation of the given polynomial is f(x)=(x+2)(x+1)(x-3).

here we have given the graph of the

The roots of the given polynomial is

x=-2,x=-1 and x=3

A polynomial is an expression consisting of indeterminates and coefficients, that involves only the operations of addition, subtraction, multiplication, and non-negative integer exponentiation of variables.

Therefore the equation of the polynomial is

f(x)=(x+2)(x+1)(x-3)

Therefore the equation of the given polynomial is f(x)=(x+2)(x+1)(x-3).

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The equation for this polynomial graphed will be P(x) = a(x + 2)(x + 1)(x – 3)³.

A polynomial expression is an algebraic expression with variables and coefficients.

The graph of the polynomial is given below.

From the graph, the roots of the polynomial will be -2, -1, and 3.

Then the factor of the polynomial will be

(x + 2), (x + 1), and (x – 3)

Then the polynomial will be

P(x) = a(x + 2)(x + 1)(x – 3)³

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The value of x and y from the given figure are 3 and 36

From the given similar triangles, the following expression is true

4/6 = x/54

Cross multiply

6x = 4 *54

x = 4 * 9

x = 36

Similarly

y/6 = 27/54
y/6 = 1/2

x =3

Hence the value of x and y from the given figure are 3 and 36

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Answer:

B.) 2x¹⁰y¹²

Step-by-step explanation:

To begin, because all of the terms in the top and bottom are combined (right next to each other being multiplied), the coefficients can be divided like any normal number. When you divide variables with powers, you need to subtract the denominator powers from the numerator powers.

Therefore,

60 / 30 = 2

x²⁰ / x¹⁰ = x²⁰ ⁻ ¹⁰ = x¹⁰

y²⁴ / y¹² = y²⁴ ⁻ ¹² = y¹²

Combined, the simplified expression is 2x¹⁰y¹².

Answer: 2.8%

Step-by-step explanation:

On the first roll, probability to get a 3 is 1/6.

On the second roll probability to get a 4 is also 1/6.

To get both of these numbers together, you need to multiply the two probabilities.

1/6 x 1/6 = 1/36.

1/36 = ~2.8

2.8%

Answer: 2.8%

Step-by-step explanation: I got it right on the test.

Answer:

false

Step-by-step explanation:

the answer is x=70

Answer:

D.

Step-by-step explanation:

It contains all the y-values of the points.

Answer:

Coordinates of all points

first = (-1 , 3)

second = (-2, 1 )

third = (-3 , -3)

fourth = (-4 , -5)

option 3

Answer:

1

Step-by-step explanation:

using the rule of exponents

[tex](\frac{a}{b}) ^{-1}[/tex] = [tex]\frac{b}{a}[/tex] , then

[tex]\frac{123}{321}[/tex] × [tex]\frac{456}{654}[/tex] × [tex]\frac{789}{987}[/tex] × [tex]\frac{321}{123}[/tex] × [tex]\frac{654}{456}[/tex] × [tex]\frac{987}{789}[/tex]

[ [tex]\frac{123}{321}[/tex] × [tex]\frac{321}{123}[/tex] = 1 , [tex]\frac{456}{654}[/tex] × [tex]\frac{654}{456}[/tex] = 1 , [tex]\frac{789}{987}[/tex] × [tex]\frac{987}{789}[/tex] = 1 ]

= 1 × 1 × 1

= 1

Answer:

Mean: 19.366666666667

Step-by-step explanation:

Mean: Average of the Data set

If you add the numbers below and divide them by the amount of numbers there are, you will get the average of the data set.

14,14,14,15,15,15,15,15,16,16,16,16,17,17,17,17,17,17,17,17,17,17,18,18,18,18,18,18,18,19,19,19,19,20,20,20,20,20,21,21,21,21,22,22,22,23,23,23,23,23,24,24,24,24,24,24,25,25,25,25

Average= sum/count

Mean= 1162 / 60

Mean= 19.366666666667

Rounded to the nearest tenth: 19.4

Rounded to the nearest hundredth: 19.37

There are two ways to confirm the identity.

Method 1

[tex]\tan(x)\cot(x) = 1\\\\\tan(x)\frac{1}{\tan(x)} = 1\\\\\frac{\tan(x)}{\tan(x)} = 1\\\\1 = 1 \ \ \checkmark\\\\[/tex]

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

Method 2

[tex]\tan(x)\cot(x) = 1\\\\\left(\frac{\sin(x)}{\cos(x)}\right)\left(\frac{\cos(x)}{\sin(x)}\right) = 1\\\\\frac{\sin(x)\cos(x)}{\cos(x)\sin(x)} = 1\\\\\frac{\sin(x)}{\sin(x)} = 1\\\\1 = 1 \ \ \checkmark\\\\[/tex]

Answer:

161 calories

Step-by-step explanation:

1) Divide 230 by 48

4.791666666666667

2) multiply 4.791666666666667 by 33.6

161

Done! Your answer is 161 calories in a 33.6 gram bag. Or just 161.

Hope this helps!