Factor this trinomial

X^2 + 3x - 4

Answer:

[tex] {x}^{2} - 7x + 10 = 0[/tex]

Step-by-step explanation:

[tex](x -2)(x - 5) = 0[/tex]

[tex] {x}^{2} - 7x + 10 = 0[/tex]

[tex]\setlength{\unitlength}{1cm}\begin{picture}(6,5)\linethickness{.4mm}\put(1,1){\line(1,0){4.5}}\put(1,1){\line(0,1){3.5}}\qbezier(1,4.5)(1,4.5)(5.5,1)\put(.3,2.5){\large\bf \!\!\!\!Wall}\put(2.8,.3){\large\bf Ground}\put(1.02,1.02){\framebox(0.3,0.3)}\put(.7,4.8){\large\bf A}\put(.8,.3){\large\bf B}\put(5.8,.3){\large\bf C}\qbezier(4.5,1)(4.3,1.25)(4.6,1.7)\put(3.8,1.3){\large\bf$39^{\circ}$ }\end{picture}[/tex]

We need the walls height then ground distance

[tex]\\ \rm\Rrightarrow sin\theta=\dfrac{Perpendicular}{Hypotenuse}[/tex]

[tex]\\ \rm\Rrightarrow sin39=\dfrac{P}{26}[/tex]

[tex]\\ \rm\Rrightarrow P=26sin39[/tex]

[tex]\\ \rm\Rrightarrow P=16.4in[/tex]

Distance of wall from skateboard touching point on ground:-

[tex]\\ \rm\Rrightarrow cos\theta=\dfrac{Base}{Hypotenuse}[/tex]

[tex]\\ \rm\Rrightarrow cos39=\dfrac{B}{26}[/tex]

[tex]\\ \rm\Rrightarrow B=26cos39[/tex]

[tex]\\ \rm\Rrightarrow B=20.2in[/tex]

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Answer:

40:1

Step-by-step explanation:

hope this helps:)

Answer:

You can choose classes of amplitude 5 , it may give you a better representation of the data :

Step-by-step explanation:

Answer:

x=80

that is because a straight angle value is 180 and that angle is already 100 sooo i guess you get the point

The answer is 1400, good luck

Answer:

-6

Step-by-step explanation:

h(x) = −3 |x + 1| evaluate h (-3)

h (-3) means x = -3

Plug in:

h(x) = −3 |(-3) + 1| → h(x) = −3 |-3 + 1|

h(x) = −3 |-2|       since -2 is an absolute value it becomes 2

h(x) = −3(2)

h(x) = -6

Let me know if you have anymore questions,

Good Luck studying :) YOU GOT THIS !!!

Answer:

the answer willl be D

Step-by-step explanation:

The expression in the 6th term in the binomial expression is [tex]265781250y^6[/tex]

The expression is given as:

(5y + 3)^10

The above expression is a binomial expression, and the xth term can be represented using:

[tex]^nC_x (a)^x * (b)^{n-x}[/tex]

So, we have:

[tex]^{10}C_6 * (5y)^6 * (3)^4[/tex]

Evaluate the combination expression

[tex]210 * (5y)^6 * (3)^4[/tex]

Evaluate the exponents

[tex]210 * 15625y^6 * 81[/tex]

Evaluate the product

[tex]265781250y^6[/tex]

Hence, the expression in the 6th term is [tex]265781250y^6[/tex]

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The fraction 11/20 can not be converted to a mixed fraction since it belongs to the proper fraction, I mean that the numerator is less than the denominator.

Only improper fractions can be mixed.

[tex]\: \: \: \: \: \: \: \: \qquad\bold{\Rightarrow \dfrac{20}{11}= 1\dfrac{9}{11} }[/tex]

So no the fraction 11/20 cannot be a mixed fraction.

Answer:

Solve the set of two reals for the following exponential equation:

\Large\text{${\dfrac{27^x\:-\:3^x}{9^x\:-\:3^x} = 82}$}

Answer:

M = 2

Step-by-step explanation:

3M+4/3 = 28/3 -M

3M+M +4/3-28/3 = 0

4M -8 = 0

4M = 8 ( divide 4 in both sides)

M=8/4

M=2

[tex]5 \frac{3}{5} \% \: of \: 750[/tex]

[tex]5 \frac{3}{5} = 5.6[/tex]

[tex] \frac{5.6\%}{100} \times \frac{x}{750} [/tex]

[tex] = 42%[/tex]

Answer:

$48

Step-by-step explanation:

The number of dollars more is the price of 8 bottles of Brand B than the price of 8 bottles of Brand A oil is:

                       $   48

Step-by-step explanation:

Brand A--

Number of bottles (x)       Price (dollars) y

2                                                   22

3                                                   33

4                                                   44

5                                                   55

The function that represents the relation between the price of the bottles and the number of bottles is:

              y=11x

Brand B--

Also, the price of the bottles depending on the number of bottles is:

                Y=17x  

According to Brand A the price of 8 bottles is:   y=11×8=$ 88

and according to Brand B the price of 8 bottles is: y=17×8= $ 136

Also, the difference in the price of Brand B to that of Brand A for 8 bottles is:

      $ 136-$ 88

   = $ 48

Answer:

140 ounces of Vegetables

Step-by-step explanation:

23 ounces of carrots x 2 = 46 ounces

47 ounces of broccoli x 2 = 94 ounces

46 ounces of carrots + 94 Ounces of Broccoli = 140 Ounces of Vegetables

Answer:

140 oz of vetables

Step-by-step explanation:

23 x 2 = 46

47 x 2 = 94

46 + 94 = 140

Answer:

D. is the correct option

Step-by-step explanation:

There is a total of 5 people, so we can either split the pizza cost into 5, or into 10 and multiply by 2 (since each guest ate 2 slices) We'll do the first option since it's simpler.

$17.49 ÷ 5 = 3.489 or rounded up to $3.50

Next, we'll add $1.19 to $3.59 which equals $4.69

Hope this helps!

Answer:

Step-by-step explanation:

21/7=3

5*3=15 width

3*3=9 height

There were 14 boys at Mina's disco for her birthday.

A ratio is a quantitative value that shows the number of times a certain value is in another value.

It is given that for every 2 boys at the disco, there were 3 girls. This means that the ratio of boys to girls at the disco is 2:3.

Let the proportionality constant be x.

Therefore total boys and girls are 2x and 3x respectively.

There are 35 kids at the disco. This means that the number of boys plus girls is 35. It can be written as shown below:

2x + 3x = 35

⇒ x = 35/5

⇒ x = 7

Total number of boys = 2x

= 2 * 7

= 14 boys

Therefore the total number of boys at the disco is 14.

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Answers:

=======================================================

Part (a)

Let's find the distance from point D to point E.

In other words, this will compute the length of segment DE.

[tex]D = (x_1,y_1) = (0,-6) \text{ and } E = (x_2, y_2) = (3,1)\\\\d = \sqrt{(x_1 - x_2)^2 + (y_1 - y_2)^2}\\\\d = \sqrt{(0-3)^2 + (-6-1)^2}\\\\d = \sqrt{(-3)^2 + (-7)^2}\\\\d = \sqrt{9 + 49}\\\\d = \sqrt{58}\\\\d \approx 7.6158\\\\[/tex]

Segment DE is roughly 7.6158 units long.

Let's repeat these steps to find the length of segment EF.

[tex]E = (x_1,y_1) = (3,1) \text{ and } F = (x_2, y_2) = (-2,1)\\\\d = \sqrt{(x_1 - x_2)^2 + (y_1 - y_2)^2}\\\\d = \sqrt{(3-(-2))^2 + (1-1)^2}\\\\d = \sqrt{(3+2)^2 + (1-1)^2}\\\\d = \sqrt{(5)^2 + (0)^2}\\\\d = \sqrt{25 + 0}\\\\d = \sqrt{25}\\\\d = 5\\\\[/tex]

Segment EF is exactly 5 units long.

Lastly, we'll compute the length of segment FD.

[tex](x_1,y_1) = (-2,1) \text{ and } (x_2, y_2) = (0,-6)\\\\d = \sqrt{(x_1 - x_2)^2 + (y_1 - y_2)^2}\\\\d = \sqrt{(-2-0)^2 + (1-(-6))^2}\\\\d = \sqrt{(-2-0)^2 + (1+6)^2}\\\\d = \sqrt{(-2)^2 + (7)^2}\\\\d = \sqrt{4 + 49}\\\\d = \sqrt{53}\\\\d \approx 7.2801\\\\[/tex]

Segment FD is about 7.2801 units long.

This is close to the length of DE, but not quite.

To recap, we found these segment lengths:

As you can see, all three sides are different lengths. Therefore, triangle DEF is scalene.

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

For part (b), follow the same template as part (a).

I'll be skipping the steps.

This is what you should get for the lengths of triangle TRI

Segments TR and IT are the same length (both exactly [tex]\sqrt{37}[/tex] units long), which means triangle TRI is isosceles.

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

For part (c), I'll also be skipping steps.

Here are the lengths you should find

All three lengths are different, making this triangle scalene.

Answer:

C. g(x) = (x - 4)²

Explanation

g(x) is f(x) right 4 units

When shifted right, x - a, a is the distance

So g(x) = (x - 4)² is the answer

HOPE THIS HELPS AND HAVE A NICE DAY <3

Answer:

Choice E.

Step-by-step explanation:

sin^2 2x = 1

sin 2x = ± 1

So 2x = 90, 270 , 450, 630  etc

x = 45, 135, 225, 315   etc

=  45 + 360n, 135 + 360n, 225 + 360n, 315 + 360n

Since events a and b are independent P(a and b) = P(a) × P(b)

To answer the question, we need to know what probability is

Probability is the likelihood of an event to occur. The probability of the event P(event) = number of required outcomes/total number of outcomes

If we have two independent event sa and b that have probabilities of occuring P(a) and P(b) respectively, the probability P(a and b) = P(a) × P(b)

So, P(a and b) = P(a) × P(b)

Learn more about probability here:

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At first we should calculate Monthly income by multiplying 2 then After multiplying by 12 to calculate Annual income

Answer:

$1346.4

Step-by-step explanation:

First find the rectangle portions area with lxwxh, which is 8x6x8. That equalls 384.

Then find the triangles, which is bxh, which is 6x8. That equals 144.

Add those two to get 528.

Then multiply the total area by 2.55 which will get you 1346.4

Answer:

The surface area of this solid is:

b. 107

Step-by-step explanation:

To understand this answer we need to analyze it. First, we have different geometric figures composing the solid. A pyramid and a rectangular prism. We need to obtain the surface, not the volume so we need to obtain the area of all the figures composing the pyramid and the prism without the hidden part of the pyramid base. We need to obtain the following areas:

2 rectangles with the following measures= W=2 L= 8

1 rectangle with the following measures= W=3 L=8

1 rectangle with the following measures= W=3 L 5

2 rectangles with the following measures= W=2 L=3

4 triangles with the following measures= B=3 H=4

Following the formula for the rectangles W x L we obtain a total area for them of 83 square meters.

Following the formula for the triangles b x h / 2 we obtain the following area: 24 square meters. Then we add both and obtain 107 square meters.

Answer:

See below ~

Step-by-step explanation:

The three inequalities (listed below) have been plotted on a graph :

Answer:

130

Step-by-step explanation:

[tex](35*4)-(10*1)-(5*0)=130[/tex]

Answer:

Step-by-step explanation:

We know that vertical angles are congruent.

Use this property to set up equation.

Substitute the values of angles and solve for x.

The value of x is 9