Find x of the triangle

Answer:

Step-by-step explanation:

Let the sides be:

According to question are given:

Use Pythagorean to find the length of hypotenuse:

The first option is discarded, as all sides should be positive. With a = 1 we get negative value for c.

So a = 17 cm.

Find the other sides:

Find the perimeter:

Answer:

40 cm

Step-by-step explanation:

Pythagoras Theorem

[tex]a^2+b^2=c^2[/tex]

where:

Let a be the shorter leg.

If the hypotenuse is 1 cm longer than twice the shorter side then:

[tex]\implies c = 2a + 1[/tex]

If the hypotenuse is 2 cm longer than the other side then:

[tex]\implies c = b + 2[/tex]

Equate the two expressions for c and solve for b:

[tex]\implies b+2=2a+1[/tex]

[tex]\implies b=2a-1[/tex]

Substitute the expression for c involving a, and the expression for b involving a, into Pythagoras Theorem and solve for a:

[tex]\implies a^2+(2a-1)^2=(2a+1)^2[/tex]

[tex]\implies a^2+4a^2-4a+1=4a^2+4a+1[/tex]

[tex]\implies a^2-4a=4a[/tex]

[tex]\implies a^2-8a=0[/tex]

[tex]\implies a(a-8)=0[/tex]

[tex]\implies a=0, \quad a=8[/tex]

Since the length of a side cannot be zero, a = 8.

The perimeter of a two-dimensional shape is the distance around the outside.   Therefore, the perimeter of the triangle is the sum of its sides:

[tex]\begin{aligned} \implies \textsf{Perimeter}&=a+b+c\\&=a+(2a-1)+(2a+1)\\&=5a\end{aligned}[/tex]

Substitute the found value of a into the expression for the perimeter:

[tex]\begin{aligned} \implies \textsf{Perimeter}&=5(8)\\&=40\sf \; cm\end{aligned}[/tex]

Therefore, the perimeter of the triangle is 40 cm.

Speed of Driver A is 30 km/h.

Speed of Driver B is 40 km/h

The speed at which an object's location changes in any direction. The distance travelled in relation to the time it took to travel that distance is how speed is defined. Since speed simply has a direction and no magnitude, it is a scalar quantity.

Given Data

Driver A and B have two different routes. Driver A's route is 80km, and driver B's route is 100km. Driver B travels 10km/h faster than driver A and finishes 10 minutes earlier.

Distance = Speed (Time)

Distance for Driver A: 80 kilometers

Consider Driver A's speed to be A km/h.

Driver A's time was [tex]\frac{80}{A}[/tex] hours.

Distance for Driver B is 100 kilometers

Speed of Driver B: A + 10 km/h

Driver B's time was equal to 100/(A + 10) hours.

Arrived 10 minutes early, or [tex]\frac{10}{60}[/tex], or [tex]\frac{1}{6}[/tex]hour.

100/(A + 10) = [tex]\frac{80}{A}[/tex] - [tex]\frac{1}{6}[/tex]

600A = 480(A + 10) - A(A + 10)

600A = 480A + 4800 - A² - 10A

A² +130A - 4800 = 0

A² + 160A - 30A - 4800 = 0

A(A + 160) - 30(A + 160) = 0

(A - 30)(A + 160) = 0

A = 30 since speed cannot be negative.

Speed of Driver A is 30 km/h.

Speed of Driver B: 40 km/h

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The composite function f(x). g(x) is represented as 3x² - 17x + 10

The composite function can be solved as follows:

f(x) = 3x - 2

g(x) = x - 5

Therefore, the composite function f(x). g(x) is as follows:

f(x). g(x) =  f(x) × g(x)

Hence,

f(x) × g(x)  = (3x - 2)(x - 5)

f(x) × g(x) = 3x²  - 15x - 2x + 10

f(x) × g(x) = 3x² - 17x + 10

Therefore, the function  f(x) × g(x) = 3x² - 17x + 10

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These are the coefficients of x1 and x2  respectively, and helps us to know the the significance of the independent variable in predicting the independent variable.

We are given the following information:

The estimate regression equation for a model involving two independent variables and 10 observations follows:

y= 29.1270+0.5906x1+0.4980x2

where x1 and x2  are the two independent variable and y is the dependent variable.

a) The regression line is of the form:

y=b0+b1 x1+b2 x2

where b0 is the y intercept and b1 , b2 are the coefficients of x1 and x2

Comparing, we get,

b1 = 0.5906

b2= 0.4980

These are the coefficients of x1 and x2  respectively, and helps us to know the the significance of the independent variable in predicting the independent variable.

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In a sale, if the normal prices are reduced by 10% and David bought a pair of trainers in the sale for £36 then the marked price of these trainers was £40.

Original price is said to be as the price that was fixed by the MSRP (i.e said to be the Manufacturer’s Suggested Retail Price).

In most of the case scenario, the original price would taken to be as always lower than the current price and then also in some other cases, original price and current price can be taken as the same.

First you have to convert the total percent discount to a decimal by dividing by 100% . Step 2: Set up the equation P=(1−d)x P = ( 1 – d ) x to find the original price of the item where P is the sale price, d is the discount as a decimal, and x is the original price of the item.

The selling price, may be that of a product or a service, is said to be as the customer or client’s final price

To calculate the exact original price of a selected item, you have to divide the sale price by the value of 1 minus the entire value of the percentage off and then divided by 100.

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Answer:

I said right foot creep looking in that heat make sure it stay low make sure they don't see the devil under your feet your on the way to see em

this question don't make sense

Answer:

See below

Step-by-step explanation:

A = l w        looking for w......  divide both sides of the equation by  ' l '

A/l = w         Done.

The equation of the line passing through  (-4,-6), (5,-6) will be y = -6

In the given question, it is stated that the line passes through points  (-4,-6), and (5,-6). We need to find out an equation of the line that satisfies the given condition.

Firstly, we will need to find out the slope of the line. We can find the slope by using the point-slope form which is represented by:

=> [tex]m = \frac{y_{2}-y_{1} }{x_{2} - x_{1} }[/tex]

Putting values (x₁, y₁) =  (-4,-6) and (x₂, y₂) = (5,-6) we get:

=> [tex]m = \frac{-6+ 6 }{5+ 4 }[/tex]

=> m = 0

We get slope m = 0. Now, putting the value of slope into the point-slope form and taking (x₁, y₁) =  (-4,-6), we get values:

=> y - y₁ = m(x - x₁)

=> y + 6 = 0(x + 4)

=> y = -6

Hence, we get the equation of line y = -6

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The expression which represents how much money all three women make together, given they work the same number of weeks is (1,650w + 200)

Total amount all three women make together = (450w + 100) + (450w + 100) + (750w)

= 450w + 100 + 450w + 100 + 750w

= 1,650w + 200

So therefore, the total amount made by the three women is given by the expression 1,650w + 200

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Option b) p = -8 is correct, when p³ = 518.

A integer y such that y3 = x is known as the cube root of a number x in mathematics. All nonzero complex numbers have three different complex cube roots, while all nonzero real numbers have exactly one real cube root and two complex conjugate cube roots. We are aware that adding three times to any number yields the cube of that number. Additionally, the inverse action of cubing a number is known as the cube root of a number. For instance, 63 has a cube value of 216. In that case, 216's cube root is equal to 6.

Given,

Equation

p³ = -518

Multiplying cube root each side

p = -∛518

p = -8

Option b) p = -8 is correct, when p³ = 518.

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Answer:

Step-by-step explanation:

Your first two photos are correct.

For your third photo, move your second dot one more to the right as you accidentally put 1.7 instead of 1.8.

For the first dot of -8/5 you should move it 8 more to the left. This is because:

-8/5 = -1 3/5 = -1.6

For your fourth photo

9/2 = 4 1/2 = 4.5

-7/2 = -3 1/2 = -3.5

For your fifth photo

-5 2/3 ≈ -5.66

5 1/3 ≈ 5.33

You have the following function:

In order to calculate

Consider that f(x + h) is given by:

Then, by replacing f(x) and f(x+h) into the difference quotient and by simplifying, you get:

Hence, the result to the quotient difference is 2x + h

Answer:

420 miles

Step-by-step explanation:

We are given that Cole drove a distance at a speed of 70 miles/hour. We are also shown that the driving time was 6 hours.

We are asked to find how many miles Cole drove.

Realize that since the speed is constant, it can be multiplied by the driving time to find the mileage.

Therefore, multiply the speed limit by the driving time:

[tex]\text{70 miles/hour} \times \text{6 hours} = \text{420 miles}[/tex]

Therefore, Cole drove 420 miles.

Answer:

420 miles

Step-by-step explanation:

Is known:

70 miles / hour

Question:

how many miles will it cover in 6 hours?

70mil/jam × 6 hour

= 420 miles

StudyForEducation.

Answer:

  t = 3/2

Step-by-step explanation:

You want to know the value of t that satisfies 17/20= t + ( - 13/20).

Add 13/20 to both sides of the equation.

  17/20 +13/20 = t -13/20 +13/20

  30/20 = t . . . . . simplify

  3/2 = t . . . . . . . reduce the fraction

The solution is t = 3/2.

Answer:

Step-by-step explanation:

2x7(2•2)^2 14-9

what is the answer

2*7(2*2)^2 14-9 =                   (remember PEMDAS)

2*7*16*14-9=

14 * 16 * 14 -9=

224*14 -9=

3136 -9=

3127

Answer:

It is a function

Step-by-step explanation:

To know whether a graph is a function or not we practice vertical line test.

If the vertical line drawed touches the graph only at one point then we can confirm it's a function.

The equation that would represent the gold medals won by the United States is 1 + 4F = 7 + F.

The gold medals won by France is 2.

The gold medals won by the United State is 9.

The equation that would represent the gold medals won by the United States would be a linear function. A linear function is a function that has a single variable that is raised to the power of one. A linear equation is a straight line that slopes either upward or downward when drawn on a coordinate plane.

The equation that represents the gold medals won by the United States is:

1 + ( 4 x F) = 7 + F

1 + 4F = 7 + F

In order to determine the value of F, take the following steps:

Combine similar terms together: 4F - F = 7 - 1

Add similar terms: 3F = 6

Divide both sides of the equation by 3 : F = 6 / 3

F = 2

The gold medals won by the United states

7 + 2 = 9

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Answer:

3.2 x 10⁶

Explanation:

Given the quotient:

We can rewrite the expression by removing the decimals as follows:

Next, we rewrite the powers of 10 so we can cancel out common terms.

Next, express the first fraction in the lowest possible form:

The quotient expressed in scientific notation is 3.2 x 10⁶.

The percent Selina would have saved if she had a renters' insurance policy at a monthly cost of $19.00 is 93. 5%

A percentage can be defined as a ratio or number that is expressed as a fraction of 100.

It is represented with the symbol "%"

Based on the information given, we have that;

To determine the percent she saved for an insurance policy at a monthly cost of $19.00

We take the following steps;

Total cost - 6(insurance policy)/total cost × 100/1

Substitute the values

$1760 - 6(19.00)/1760 × 100/1

Subtract the numerators

1646/1760  × 100/1

Find the quotient

0. 935  × 100/1

Multiply through

93. 5%

Hence, the value is 93. 5%

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If an orca is swimming at the surface of the water and dives below the surface 25.5 feet. Then the orca swims up [tex]12\frac{1}{4}[/tex] , then the location of the orca relative to the surface of the water is 13.25 feet below the surface of water

The depth he dives below the surface = 25.5 feet

The the orca swims up  [tex]12\frac{1}{4}[/tex] feet

Convert the mixed fraction to simple fraction

[tex]12\frac{1}{4}[/tex] feet = 49/4 feet

Convert the simple fraction to the decimal number

49/4 feet = 12.25 feet

The distance orca dives below will consider as negative and the distance swims up will considered as positive

Then the position of orca = -25.5+12.25

= -13.25

Hence, if an orca is swimming at the surface of the water and dives below the surface 25.5 feet. Then the orca swims up [tex]12\frac{1}{4}[/tex] , then the location of the orca relative to the surface of the water is 13.25 feet below the surface of water

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1) Considering that

Answer:

78

Step-by-step explanation:

2n + 1 = 157

2n = 157 - 1

2n = 156

n = 156 ÷ 2

n = 78

Well, I hope this helps.

10-(9²) = 91

Answer: whats the question?

Step-by-step explanation:

Hello!

To solve for f(-9)

  ==> must simply plug in '-9' into the x's position

       ==>  [tex]f(-9) = 1(-9)-8=-9-8=-17[/tex]

Hope that helps!

A graph of this linear function (y = 3x + 6) is shown in the image attached below.

A graph can be defined as a type of chart that is commonly used for the graphical representation of data on both the horizontal line (x-axis) and vertical line (y-axis) of a cartesian coordinate.

Next, we would simplify the given linear function by dividing all through by 5 as follows:

5y - 15x = 30

5y/5 - 15x/5 = 30/5

y - 3x = 6

Rearranging the linear function, we have:

y = 3x + 6

In this context, we can reasonably and logically deduce that only the graph of a proportional relationship such as a linear function is always characterized by a straight line with all of the data points passing through the origin (0, 0).

In conclusion, a graph which represents the given linear function does not show a proportional relationship between the value of x and y.

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