Triangle ABC is s defined by the points A(2,3), B (3,4), and C(6,3). Find the perimeter of a triangle. Round to 2 decimal places if necessary. Please help me :(

Answer:

y +6 = 1/3(x+2)

Step-by-step explanation:

Point slope form:

y - y1 = m(x - x1)

m = slope

Since x and y are negative, the double negatives make a positive.

Answer:

a=12

Step-by-step explanation:

(2a-1)+(6a-5)=90

First, we can simplify the left side by combining the two like terms (2a and 6a) and the two constant terms (-1 and -5):

8a - 6 = 90

Next, we can add 6 to both sides to isolate the variable term on one side of the equation:

8a = 96

Finally, we can divide both sides by 8 to solve for a:

a = 12

Therefore, the solution is a = 12.

*IG: whis.sama_ent*

Answer:

a = 12

Step-by-step explanation:

Angle (2a-1) and angle (6a-5) are complementary angles.

Complementary angles sum 90°

Then;

(2a-1) + (6a-5) = 90

2a + 6a -1 - 5 = 90

8a - 6 = 90

8a = 90 + 6

8a = 96

a = 96/8

a = 12

Check:

(2*12 - 1) + (6*12-5) = 90

24 - 1 + 72 - 5 = 90

Answer:

0.16

Step-by-step explanation:

hope this helps!

Answer:

0.16

Step-by-step explanation:

First let's convert 0.4% to a decimal.

0.4% = 0.004

So, 0.4% of 40 is just 0.004 times 40, which is 0.16.

Let me know if this helps!

Answer:

(a) \(x=\frac{19}{4}=4.75\)

(b) \(x=-\frac{1+\sqrt{193}}{6}\approx-2.4821, x=-\frac{1-\sqrt{193}}{6}\approx2.1487\)

Step-by-step explanation:

The detailed explanation is shown in the attached documents below.

Answer:

95.45

Step-by-step explanation:

83% of 115 is 95.45

.83 × 115 = 95.45

if you wanted 83% of what is 115 then it would be 83% of 138.5542169 = 115

.83a = 115

115/.83 = a

115/.83 = 138.5542169

check:

.83 × 138.5542169 = 115

Answer:

95.5

Step-by-step explanation:

83% of what mijo be more specific, But I can o ly tell that ir 95.5.

good luck

Buena suerte

the slope goes by several names

• average rate of change

• rate of change

• deltaY over deltaX

• Δy over Δx

• rise over run

• gradient

• constant of proportionality

however, is the same cat wearing different costumes.

\((\stackrel{x_1}{-3}~,~\stackrel{y_1}{7})\qquad (\stackrel{x_2}{3}~,~\stackrel{y_2}{3}) \\\\\\ \stackrel{slope}{m}\implies \cfrac{\stackrel{\textit{\large rise}} {\stackrel{y_2}{3}-\stackrel{y1}{7}}}{\underset{\textit{\large run}} {\underset{x_2}{3}-\underset{x_1}{(-3)}}} \implies \cfrac{-4}{3 +3} \implies \cfrac{ -4 }{ 6 } \implies - \cfrac{2}{3}\)

The equation in slope-intercept form of the line that passes through (1,8) and is perpendicular to 3x + 7y = 0 is :

y = (7/3)x - (19/3).

To write the equation in slope-intercept form, we need to find the slope of the line that passes through (1,8) and is perpendicular to 3x + 7y = 0.

First, we need to rearrange the equation 3x + 7y = 0 into slope-intercept form:

7y = -3x
y = (-3/7)x

The slope of this line is -3/7.

Since the line we are trying to find is perpendicular to this line, its slope will be the negative reciprocal of -3/7:

m = 7/3

Now we can use the point-slope formula to write the equation of the line that passes through (1,8) with slope 7/3:

y - 8 = (7/3)(x - 1)

Finally, we can rearrange this equation into slope-intercept form:

y = (7/3)x - (19/3)

So, the equation in slope-intercept form of the line that passes through (1,8) and is perpendicular to 3x + 7y = 0 is y = (7/3)x - (19/3).

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The possible dimensions (length and width) of the field are:(10 m × 13 m) or (13 m × 10 m) and (11 m × 12 m) or (12 m × 11 m).

Given that Aaron has 47m of fencing to build a three-sided fence around a rectangular plot of land that sits on a riverbank. The fourth side of the enclosure would be the river.

The area of the land is 266 square meters.To find the possible dimensions (length and width) of the field, we can use the given information.The length of fencing required = 47 m.

Since the fence needs to be built on three sides of the rectangular plot, the total length of the sides would be 2l + w = 47.1. When l = 10 and w = 13, we have:

Length of the field, l = 10 m Width of the field, w = 13 mArea of the field = l × w = 10 × 13 = 130 sq. m2. When l = 11 and w = 12,

we have:Length of the field, l = 11 m

Width of the field, w = 12 m

Area of the field = l × w = 11 × 12 = 132 sq. m

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The expression we have to evaluate is:

and we need to substitute the value of x = 8:

Next, we solve the multiplication between 2 and 8, which is equal to 16:

And finally we add and substract the corresponding terms:

Answer: 22

Answer:

10 in

Step-by-step explanation:

This question can be solved with a proportion. 12 is to 8 as 15 is to x since the triangles are congruent. So solve 12/8=15/x. Then cross multiply to get x=10.

Yes, 4x is an exponential function. An exponential function is one where there is a constant being raised to a variable.

Exponential functions involves exponents. An exponential function has a constant as its base and a variable as its exponent but not the other way round. if a function has a variable as the base and a constant as the exponent then it is a power function but not an exponential function. The exponential function is a type of mathematical function which are helpful in finding the growth or decay of population, money, price that are growing or decay exponentially. A basic exponential function from its definition is of the form f(x) = b x, where 'b' is a constant and 'x' is a variable. generally it refers to the positive valued function of a real variable. it can be extended to the complex numbers or generalized to other mathematical objects like matrices.

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The rule for a reflection across the x-axis is

According to the given graph, vertex B has coordinates (3,8). Let's apply the reflection rule.

The verbal expressions A. half of five more than a number, C. five more than half a number, and D. half of five less than a number represent the given algebraic expression when assigned with a variable. The expressions are 1/2(x + 5), 5 + 1/2x, and 1/2(x - 5).

The verbal expressions that represent the algebraic expressions are A. half of five more than a number, C. five more than half a number, and D. half of five less than a number. To convert these expressions into algebraic form, we need to assign a variable, say x, to the unknown number.

A. Half of five more than a number can be expressed algebraically as 1/2(x + 5). B. Twice a number and five can be written algebraically as 2x + 5. C. Five more than half a number can be expressed algebraically as 5 + 1/2x. D. Half of five less than a number can be written algebraically as 1/2(x - 5).

Therefore, the expressions that represent the given algebraic expression are A. half of five more than a number, C. five more than half a number, and D. half of five less than a number. Expression B represents a different algebraic expression altogether.

To summarize, three of the given verbal expressions represent the given algebraic expression, which can be converted to algebraic form by assigning a variable to the unknown number. These expressions are 1/2(x + 5), 5 + 1/2x, and 1/2(x - 5).

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The disparities between the actual and anticipated values in a regression model were referred to as residuals in the context Tufte provided.

American statistician Edward Rolf Tufte is a retired professor of political science, statistics, and computer science at Yale University.

Tufte talked about the idea of residuals. The discrepancies between the actual value and the projected value are known as residuals in statistics. Depending on whether the observed value is higher or lower than the projected value, they might be either positive or negative.

A model's residuals offer a gauge of how well it matches the data. According to him, residual plots are a great tool for seeing issues with the model fit and spotting outliers that might be skewing the results.

In contrast to relying exclusively on statistical tests, Tufte emphasised the significance of visually evaluating residuals since graphs can highlight patterns and correlations that may be missed in the numbers.

Overall, residuals are a key idea in statistics since they may be used to evaluate a model's reliability and point out its flaws.

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Answer:

u = 11

Step-by-step explanation:

6(u+5)=96

Divide both sides by 6

u+5=16

Subtract 5 from both sides

u=11

The variable, u, is equivalent to 11

Answer:

u=11

Step-by-step explanation:

If you multiply  the parentheses by the outside number (6) it will bring you

6u+30=96 then take away 30 from each side to get

6u=66 last step is to divide by six

u=11

The null hypothesis to test for instruments' relevance is option D) H0:π2=0 or π3=0 or π4=0.In order to test the relevance of the instrument, the first stage equation's null hypothesis should be stated as: H0: π2 = 0 or π3 = 0 or π4 = 0.The relevance requirement will be fulfilled if we can refute the null hypothesis.

The null hypothesis will not be rejected if the F-statistic is less than 10.0. However, if the F-statistic is greater than 10.0, the null hypothesis will be rejected, indicating that the variables are relevant and that the instrument satisfies the relevance requirement.In summary, to test for instruments' relevance in TSLS, the null hypothesis of the first stage equation is stated as H0: π2 = 0 or π3 = 0 or π4 = 0.

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Answer:

£3780

Step-by-step explanation:

P= £3500, R=4%, t=2years

I = PRT/100

I= (3500×4×2)/100 =£280

Amount in 2years = P+I = £3500+ £280= £3780

To write the expression in its simplest form, we need to simplify each term and then combine like terms.

The first term of the expression is 2x²y. This term is already in its simplest form and doesn't require any further simplification.

The second term of the expression is xy. This term is also in its simplest form and doesn't require any further simplification.

The third term of the expression is -3x. This term is also in its simplest form and doesn't require any further simplification.

The fourth term of the expression is 12x.xy. To simplify this term, we need to distribute the 12 over the x and y. So, we get 12x.y.

Now that all terms are simplified, we can combine like terms. Since the terms xy and 12x.y are the same, we can add them together to get (12+1)xy = 13xy.

So, the expression in its simplest form is 2x²y + 13xy - 3x.

We can further simplify the above expression by combining x²y and xy together as (x²+1)xy = x³y

So, the final expression in its simplest form is x³y + 13xy - 3x.

The first paragraph will be: In the days leading up to the Boston Massacre, people in Boston were very unhappy with British soldiers. As more people protested against unfair actions, more violent conflicts also happened.

The second paragraph is: The night of the Boston Massacre was very cold and scary. British soldiers shot at colonists who did not have any weapons. As a member of the jury, I voted that they were not responsible for the murder. The people's actions were careless, and everyone was scared and confused.

The third paragraph is: John Adams talked about how the mob was being aggressive, which made the soldiers scared. The situation affected the soldiers and they responded to a mean crowd.

The fourth paragraph is: Captain Thomas Preston's story reinforced this, illustrating that the soldiers believed there was a threat that was about to happen. They had to defend themselves because of the chaos happening around them.

The fifth paragraph is: In this difficult trial, taking into account fear, confusion, and protecting oneself, the decision honors the different viewpoints from the past. The Boston Massacre is a sad and serious event that shows how the situation influences what people do and the results that come from it.

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Note:  hypothetical scenario was used.

Answer:

-117

Step-by-step explanation:

f(-10)=-(-10)^2+3(-10)+13

f(-10)=-117

The measure of side A'B' for the triangle A'B'C' is equal to 4 using a scale factor of 1/2 to dilate it.

Scale factor is the ratio between the scale of a given original object and a new object, which is its representation but of a different size either bigger or smaller.

The dilation if the triangle ABC implies it is bigger than the triangle A'B'C' with a scale factor 1/2 since AC = 10 and A'C' = 5

side A'B' = 8 × 1/2

side A'B' = 4

Therefore, the measure of side A'B' for the triangle A'B'C' is equal to 4 using a scale factor of 1/2 to dilate it.

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Answer:

the answer is B, 4. :)

Answer:

Number 5e9, five thousand million

The probability that the value of x is 0.4346.

To calculate the probability that the value of x is at least 0.45 above its mean, we need to determine the mean and standard deviation of the given probability density function (PDF).

The PDF is defined as:

f(x) = (2x + 12) / 51 for 1 ≤ x ≤ 3

To calculate the mean (μ), we need to find the expected value of the PDF:

Mean (μ) = ∫[1,3] (x * f(x)) dx

Let's calculate the mean:

μ = ∫[1,3] (x * (2x + 12) / 51) dx

μ = (1/51) * ∫[1,3] (2\(x^2\) + 12x) dx

μ = (1/51) * [(2/3)\(x^3\)+ 6\(x^2\)] | [1,3]

μ =\((1/51) * [(2/3)(3^3) + 6(3^2) - (2/3)(1^3) - 6(1^2)]\)

μ = (1/51) * [(2/3)(27) + 54 - (2/3)(1) - 6]

μ = 128/51

So, the mean (μ) is approximately 2.51.

Next, let's calculate the standard deviation (σ) of the PDF. The formula for the standard deviation is:

σ = \(\sqrt\)[∫[1,3] (\(x^2\) * f(x)) dx - \(\mu ^2\)]

Let's calculate the standard deviation:

σ =\(\sqrt [\int_1 ^3(x^2 * (2x + 12) / 51) dx - (128/51)^2]\)\(\sqrt {\int _1^3 (x^2 * (2x + 12) / 51) dx - (128/51)^2]\)

σ =\(\sqrt{(1/51) * \int _1^ 3] (2x^3 + 12x^2) dx - (128/51)^2]\)

σ = \(\sqrt{(1/51) * [(1/2)x^4 + (4/3)x^3] | _1^3] - (128/51)^2]\)

σ = \(\sqrt{(221/153) - (16384/2601)}\)

σ = \(\sqrt{35777/394953}\)

σ ≈ 0.21047

Therefore, the standard deviation (σ) is approximately 0.21047.

To evaluate the expression and obtain the probability that the value of x is at least 0.45 above its mean, let's substitute the value we found earlier for x:

Substituting the value of μ as 25/8:

P(x ≥ (25/8) + 0.45) = \((1/51) * [45/2 - (((25/8) + 0.45)^2 + 12((25/8) + 0.45)) / 2]\)

P(x ≥ (25/8) + 0.45) = \((1/51) * [45/2 - (((25/8) + 0.45)^2 + 12((25/8) + 0.45)) / 2]\)

P(x ≥ (25/8) + 0.45) = \((1/51) * [45/2 - (((25 + 3.6)/8)^2 + 12((25 + 3.6)/8)) / 2]\)

P(x ≥ (25/8) + 0.45) = \((1/51) * [45/2 - (((3.575)^2 + 12(3.575)) / 2]\)

P(x ≥ (25/8) + 0.45) = (1/51) * [45/2 - ((12.75625 + 42.9) / 2]

P(x ≥ (25/8) + 0.45) = (1/51) * [45/2 - (55.65625 / 2]

P(x ≥ (25/8) + 0.45) = (1/51) * [45/2 - 27.828125]

P(x ≥ (25/8) + 0.45) ≈ 0.4346

Therefore, the probability that the value of x is at least 0.45 above its mean is approximately 0.4346.

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Hyperkalemia is a medical condition that refers to an elevated level of potassium in the blood.

This condition can be caused by several factors, including kidney disease, certain medications, and hormone imbalances. Symptoms of hyperkalemia can range from mild to severe, depending on the level of potassium in the blood.

In a 60-year-old female diagnosed with hyperkalemia, the most likely symptom that would be observed is muscle weakness. This is because high levels of potassium can interfere with the normal functioning of muscles, leading to weakness, fatigue, and even paralysis in severe cases.

Other symptoms that may be observed in hyperkalemia include nausea, vomiting, irregular heartbeat, and numbness or tingling in the extremities. Treatment of hyperkalemia typically involves addressing the underlying cause of the condition, as well as managing symptoms through medication and lifestyle changes.

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Answer:

hope u understand

180°-142°=38°

x=38°

here is your answer

mark as brilliant and follow pls

Answer:

142

Step-by-step explanation:

because it is an obtuse angle and it is equvilent to an exteroir angle which is also 142 degrees

pls mark brainliest

Step-by-step explanation:

hope this helps. good luck :)

Answer:

106

Step-by-step explanation:

a foot is 12 inches so 8x12 would be 96 and if you add the other 10 inches that would be 106

Answer:

Step-by-step explanation:

Scott is getting balloons for his uncle's birthday party. He wants each balloon string to be 6 feet long. At the party store, string is sold by the yard. If Scott wants to get 59 balloons, how many yards of string will he need?

1 foot =

1

3

yard please help :(