Factor the trinomial completely.
4u^4 + 4u^3 - 6u^2

Answer:

It would take 10 years

Step-by-step explanation:

Dos ecuaciones son perpendiculares cuando la intercepción entre estas forma angulos rectos (90º)

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

Las pendientes de líneas perpendiculares son opuestas es decir que si una línea tiene pendiente m la otra tendrá pendiente - m

Si la ecuacion es perpendicular a

Sabiendo que en una ecuación líneal de forma estandar (y=mx +b) el valor que acompaña a la x es la pendiente, la ecuación a determinar tendra pendiente opuesta, en este caso a -2.

Es decir, que la pendiente de la ecuacion a hallar sera:

Ahora, si se tiene un punto (-1 , 4 )

Se puede hallar los valores para y y x en este punto para hallar el valor faltante en la ecuación:

Si:

y= 4

x= - 1

Sustituimos los valores que conocemos:

Despejamos el valor desconocido b:

Entonces, ya conocemos los valores de m y b. La ecuación de la línea perpendicular a y=2x+1 y que pasa por el punto (-1,4) será:

Answer:

i think it congruent to 6

Answer: Line c is a transversal line.

Step-by-step explanation: A transversal is a line that crosses at least two other lines. In this case, line c crosses lines a and b.

Answer:

Step-by-step explanation:

Given system:

Triple the second equation and add up with the first one to eliminate the variable x:

Find x:

Answer:

59 degrees

Step-by-step explanation:

180 - 126 = 54

6x-1 + 5x + 17 +54 =180

11x + 70 = 180

11x = 180 -70

11x = 110

x =10

Therefore

6(10) - 1 = 59 degrees

Answer:

Step-by-step explanation:

Answer:

A

Step-by-step explanation:

A constant line looks like a flat line with a slope of 0.

The segment that shows a constant function is segment A.

Option A is the correct answer.

A function has an input and an output.

A function can be one-to-one or onto one.

It simply indicated the relationships between the input and the output.

Example:

f(x) = 2x + 1

f(1) = 2 + 1 = 3

f(2) = 2 x 2 + 1 = 4 + 1 = 5

The outputs of the functions are 3 and 5

The inputs of the function are 1 and 2.

A function is constant if the graph is a straight line.

So,

From the given graph, we see that line A is a straight line.

This means,

Segment A shows a constant function.

Thus,

The segment that shows a constant function is segment A.

Learn more about functions here:

https://brainly.com/question/28533782

#SPJ7

The value of v is -12.5 when u = 15, t = 8, and s = 40.

According to the question,

We have the following expression:

s = (u+v)\(t^{2}\)

We have the following values:

u = 15, t = 8, s = 40

Now, we can easily find the value of v by putting all these values in the given expression.

So, we have the following expression:

40 = (15+v)8*8

40 = (15+v)16

Multiplying 16 into the bracket:

40 = 15*16+16v

40 = 240+16v

Subtracting 240 from both sides:

40-240 = 16v

-200 = 16v

Dividing by 16 on both sides:

-200/16 = v

v = -12.5

Hence, the value of v is -12.5 when u = 15, t = 8, and s = 40.

To know more about value of v here

https://brainly.com/question/28574791

#SPJ9

Answer:

3..

Step-by-step explanation:

dont know the explanation sry i m beginner so .

100 and 101

the two integers are n and n+1. this means that 2n+1=201. n=100 and n+1=101

Answer:

the answer is C

Step-by-step explanation:

Which type of triangle, if any, can be formed with sides measuring 8 inches, 8 inches, and 3

inches?

A. a scalene triangle

B. an equilateral triangle

C. an isosceles triangle

D. no triangle

Answer:

The designed life should be of 21,840 vehicle miles.

Step-by-step explanation:

Normal Probability Distribution

Problems of normal distributions can be solved using the z-score formula.

In a set with mean \(\mu\) and standard deviation \(\sigma\), the z-score of a measure X is given by:

\(Z = \frac{X - \mu}{\sigma}\)

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the p-value, we get the probability that the value of the measure is greater than X.

Mean of 35,000 vehicle miles and a standard deviation of 7,000 vehicle miles.

This means that \(\mu = 35000, \sigma = 7000\)

Find its designed life if a .97 reliability is desired.

The designed life should be the 100 - 97 = 3rd percentile(we want only 3% of the vehicles to fail within this time), which is X when Z has a p-value of 0.03, so X when Z = -1.88.

\(Z = \frac{X - \mu}{\sigma}\)

\(-1.88 = \frac{X - 35000}{7000}\)

\(X - 35000 = -1.88*7000\)

\(X = 21840\)

The designed life should be of 21,840 vehicle miles.

Answer:

Reason 5.

All right angles are congruent.

Reason 6.

ASA

(You have 2 angles and the included side of the two triangles, so by ASA (angle-side-angle) the triangles are congruent.)

Answer:

20

21.75

27.85

29.5

Step-by-step explanation:

Arranging the values in ascending order we get

16 21 24 24 27 28 30 35

n = Number of values = 8

Rank is given by

\(\dfrac{\text{Percentile}}{100}\times (n+1)\)

\(=\dfrac{20}{100}(8+1)=1.8\)

Taking the fraction of the rank i.e., 0.8 and work out the weighted mean

\(0.8\times (21-16)+16=20\)

The 20th percentile is 20

\(\dfrac{25}{100}(8+1)=2.25\)

\(0.25(24-21)+21=21.75\)

The 25th percentile is 21.75

\(\dfrac{65}{100}(8+1)=5.85\)

\(0.85(28-27)+27=27.85\)

The 65th percentile is 27.85

\(\dfrac{75}{100}(8+1)=6.75\)

\(0.75(30-28)+28=29.5\)

The 75th percentile is 29.5

Answer:

p = 8

Step-by-step explanation:

Divide -5 to both sides

-5p = -40

5p = 40

p = 8

So p = 8

The calculated measure of t from the given equation is 15 degrees

From the question, we have the following parameters that can be used in our computation:

10

to

25°

When expressed properly, we have

10° + t° = 25°

Evaluate the like terms

So, we have

t° = 15°

Hence, the value of t° is 25°

Read more about equations at

https://brainly.com/question/18831322

#SPJ1

Answer:

  b.  61°

Step-by-step explanation:

You want to know base angle RST in isosceles triangle RST where angle R is a vertical angle to a base angle in triangle QRP. Vertex angle Q has a measure of 64°.

The base angles of an isosceles triangle are the complement of half the vertex angle.

  ∠R = 90° -1/2(64°) = 58°

  ∠S = 90° -1/2(58°) = 61°

The measure of ∠RST is 61°.

The explicit formula for calculating the sum is

\(S_N=\frac{n(n-1)}{2} \cdot\frac{n(n+1)}{2}\)

The sum of the nth term of a sequence is expressed as;

\(S_n=\frac{n}{2}(2a+(n-1)d)\)

a is the first term

d is the common difference

n is the number of terms

For the sequence  0 + 1 + 2 + 3  +...

\(S_n=\frac{n}{2}(2(0)+(n-1)1)\\S_n= \frac{n}{2}(n-1)\\S_n= \frac{n(n-1)}{2}\)

Similarly for the sequence:

1 + 2+ 3 + 4+...

\(S_n=\frac{n}{2}(2(1)+(n-1)1)\\S_n= \frac{n}{2}(2+n-1)\\S_n= \frac{n(n+1)}{2}\)

Taking the product of the sum to get the explicit formula for calculating the sum

\(S_N=\frac{n(n-1)}{2} \cdot\frac{n(n+1)}{2}\)

Learn more here: https://brainly.com/question/24547297

Answer:

67°

Step-by-step explanation:

Angle 67° and that at H are corresponding this are equal.

Therefore 67+46=113°

180-113=67 as the answer

Answer:

3x²+15x

Step-by-step explanation:

S = length × width

= 3x(x+5)

= 3x²+15x

Answer:

0.04m, 4.5cm, 51mm, and 55mm

Step-by-step explanation:

Let's put all measurements into mm because we already have two there.

4.5cm * 10mm/cm = 45mm

0.04m * 1000mm/m = 40mm

40<45<51<55

So the order is 40mm, 45mm, 51mm, 55mm

Convert the two measurements we changes back to their regular form and:

0.04m, 4.5cm, 51mm, and 55mm

Step-by-step explanation:

A=102cm2

A=Lengthxbreadth

102=Lengthx6

Length=17 cm

The value of S4 for the given expression ♾️. n-1 Σ 1/4(-1/3) is -1/12.

The given expression ♾️. n-1 Σ 1/4(-1/3) represents a summation of the term 1/4(-1/3) over a range of values from 1 to n-1, where n is an unknown value. We need to find the value of S4, which represents the sum of this expression when n is equal to 4.

To find the value of S4, we substitute n = 4 into the expression and evaluate it.

♾️. n-1 Σ 1/4(-1/3) = ♾️. 4-1 Σ 1/4(-1/3)

Simplifying, we get:

♾️. 3 Σ 1/4(-1/3)

Since the term 1/4(-1/3) is constant, we can pull it out of the summation:

1/4(-1/3) ♾️. 3

Now, ♾️. 3 represents the sum of 3 terms. Multiplying 1/4(-1/3) by 3 gives:

1/4(-1/3) * 3 = -1/4 * 1/3 * 3 = -1/12

Therefore, the value of S4 for the given expression ♾️. n-1 Σ 1/4(-1/3) is -1/12.

For more such questions on expression, click on:

https://brainly.com/question/1859113

#SPJ8

The probable question could be:

What is the value of s4 for expression ♾️. n-1 Σ 1/4(-1/3) ?

A) 1/9

B) 7/54

C) 5/27

D) 10/27

Let number be x

\( \leadsto \sf {x}^{2} + 2 = 227\)

\( \\ \\ \)

\( \leadsto \sf {x}^{2} = 227 - 2\)

\( \\ \\ \)

\( \leadsto \sf {x}^{2} = 225\)

\( \\ \\ \)

\( \leadsto \sf {x} = \sqrt{225} \)

\( \\ \\ \)

\( \leadsto \sf {x} = \sqrt{15 \times 15} \)

\( \\ \\ \)

\( \leadsto \sf {x} = 15\)

Number = 15

Answer:

y =  \(-\frac{3}{5}\) x + 3

Step-by-step explanation:

To find slope you need to take y2-y1 divided by x2-x1. First to the subtraction. Y2 is 3 in this problem and y1 is 0. X2 is 0 and x1 is 5. 3-0 = 3 and 0-5 = -5. Now we have the equation \(-\frac{3}{5}\) as the slope.

Slope-intercept form is y= mx+b so plug in  \(-\frac{3}{5}\)  to get y =  \(-\frac{3}{5}\) x + b

The y-intercept is the coordinate where the x is equal to zero. (0,3) is the coordinate that meets this requirement. The y coordinate is 3 so that is the y-intercept. Plug that in to y =  \(-\frac{3}{5}\) x + b to get =  \(-\frac{3}{5}\) x + 3.

The other person was parcially correct, but here is the right answer:

The distance from the point to the parametric line is given as follows:

5 units.

The first step is obtaining the vector from the line L(0, 5 + 3t, 2 + t) to the point P(5,5,2), as follows:

P - L = (5, -3t, -t).

The direction vector of the line is given as follows:

(0, 3, 1).

The dot product of the vector with the direction of the line is of zero, hence:

(5, -3t, -t)(0, 3, 1) = 0

-9t - t = 0

-10t = 0

t = 0.

Thus the point on the line which we will use to obtain the distance is of:

(0, 5 + 3(0), 2 + 0) = (0,5,2).

The the distance is obtained applying the formula for the distance between two points as follows:

Distance = square root [(5 - 0)² + (5 - 5)² + (2-2)²] = 5 units.

More can be learned about the distance between point and line at https://brainly.com/question/17143316

#SPJ1

There are 123 Asians, 25 Africans, 21 Europeans and 8 Americans in the village.

To determine the number of Asians, Africans, Europeans, and Americans in the village, the following calculation must be performed:

Therefore, there are 123 Asians, 25 Africans, 21 Europeans and 8 Americans in the village.

Learn more about maths in https://brainly.com/question/25818763