What Is the solution to the system of equations? Y=-3x-2
5x+2y=15

Answer:

(x-8) is the factor.

Step-by-step explanation:

The given trinomial is [tex]x^{2}-6x-16[/tex].

We need to find the factor of this trinomial.

[tex]x^{2}-6x-16=x^2-8x+2x-16\\\\=x(x-8)+2(x-8)\\\\=(x+2)(x-8)[/tex]

The factors of [tex]x^{2}-6x-16[/tex] is (x-2) and (x-8).

So, the factor of [tex]x^{2}-6x-16[/tex] is (x-8). Hence, the correct option is (B).

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Explanation:

Make sure your calculator is in radian mode. Use your calculator to find that tan(5pi/8) = -2.41421 which is approximate.

Since the value is negative, this means the answer is between choices C and D. You can use your calculator to compute those expressions given and you should find it matches with choice D.

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Further explanation:

We can apply the half angle identity for tangent like so

[tex]\tan\left(\frac{x}{2}\right) = \pm \sqrt{\frac{1-\cos(x)}{1+\cos(x)}}\\\\\\\tan\left(\frac{5\pi/4}{2}\right) = -\sqrt{\frac{1-\cos(5\pi/4)}{1+\cos(5\pi/4)}}\\\\\\\tan\left(\frac{5\pi}{8}\right) = -\sqrt{\frac{1-\left(-\frac{\sqrt{2}}{2}\right)}{1+\left(-\frac{\sqrt{2}}{2}\right)}}\\\\\\[/tex]

Simplifying further, we get

[tex]\tan\left(\frac{5\pi}{8}\right) = -\sqrt{\frac{1+\frac{\sqrt{2}}{2}}{1-\frac{\sqrt{2}}{2}}}\\\\\\\tan\left(\frac{5\pi}{8}\right) = -\sqrt{\frac{2+\sqrt{2}}{2-\sqrt{2}}}\\\\\\[/tex]

In the last step, I multiplied top and bottom of the outer fraction by 2 to clear out the denominators of the inner fractions.

Answer:

Answer D

Step-by-step explanation:

on edge 2023

Answer:

‍♂️ but if you know please answer

Answer:

12344567891011121314151617181920

Step-by-step explanation:

12344567891011121314151617181920

Answer:

Step-by-step explanation:

Answer:

x =2√55,−2√55

Decimal Form:  x=0.89442719…,−0.89442719…

Step-by-step explanation:

Answer:

60 feets

Step-by-step explanation:

Given that :

Using Pythagoras rule :

Hypotenus = sqrt(Adjacent^2 + opposite^2)

From the attached picture :

x² = 87^2 - 63^2

x^2 = 7569 - 3969

X^2 = 3600

Take the square root of both sides :

X = sqrt(3600)

X = 60 feets

Hence, Katy and Tony are 60 feets apart

9514 1404 393

Answer:

  12 m

Step-by-step explanation:

The distances of interest are the sides of a right triangle whose right angle is at Bruce. The hypotenuse of the triangle is the Teacher-Ruth distance. The unknown side (x) can be found using the Pythagorean theorem:

  x² + 9² = 15²

  x² = 225 -81 = 144

  x = √144 = 12

Bruce and Ruth are 12 meters apart.

Answer:

120°

Step-by-step explanation:

m<ABD+m<DBC=m<ABC

61°+59°=120°

hope this helped!

Answer:

We conclude that the value of m∠ABC = 120°

Step-by-step explanation:

Given

m∠ABD = 61°

m ∠DBC = 59°

To Determine

m∠ABC = ?

It is clear that the value of m∠ABC can be determined by adding m∠ABD and m∠DBC because m∠ABC the segment BD divides the angle m∠ABC into two adjacent angles m∠ABD and ∠DBC.

Therefore,

m∠ABC = m∠ABD + m∠DBC

             = 61° + 59°            ∵ m∠ABD = 61°, m ∠DBC = 59°

             = 120°

Therefore, we conclude that the value of m∠ABC = 120°

Answer:

b

Step-by-step explanation:

there's a property for Alternate Interior Angles

Answer:

Choice B

Step-by-step explanation:

The reason why < 3 is equal to < 6 is because they are alternate interior angles.

The first choice are supplementary angles they add up to 180 so they can't be equal.

The third one is false because we don't actually know the measurements of the angles but they both need to be 45° to add up to 90 since they are equal to each other.

The last one is also incorrect because they are vertical angles just like the third choice and they aren't on a line so they can't add up to 180.

Inequality Answer: 1 + y ≥ 3

I hope this helps, and Happy Holidays! :)

Answer: m=1/6

Step-by-step explanation:

-1

Step-by-step explanation:

because looking at the graph it is negative, and it goes down one over one

Answer:

56 ft^2

Step-by-step explanation:

Answer:

28

Step-by-step explanation:

hope this helps

Answer:

28

Step-by-step explanation:

70% is equal to 70/100. "of" when used in math means multiplaication.

so we do 70/100 x 40

we can simplify 70/100 to get 7/10.

now we multiply:

7/10 x 40 = 28

Answer:

sam will take the 75 pollywog pralines and divide them into the three bags

75÷3 =25

Step-by-step explanation:

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Answer:

I think is The little (D) -12.4.

Answer:

56

Step-by-step explanation:

80 x (7 / 10) = 56

Answer:

Solution in photo

Step-by-step explanation:

Answer: It's (A) 12<X

Step-by-step explanation: I chose that one because the line highlighted on the number line, it's bigger than 12!

Answer:

2

Step-by-step explanation:

3x30=90

15x3=45

90/45=2

Answer:

He makes 14 field goals and 7 extra point kicks

Step-by-step explanation:

f=#of field goals

e=extra kick points

f+e=21

3f+1e=49

subtract top from bottom

2f=28

f=14

Good luck!

Answer:

c

Step-by-step explanation:

I took the test and got it right

The correct equation that justifies why seven to the one-third power equals the cube root of seven is option C: [tex](7^{(1/3)})^3[/tex]=[tex]7^{(1/3 * 3)[/tex]=7.

C. Seven to the one-third power all raised to the third power equals seven to the one-third times three power equals seven.

Let's break down the steps:

Seven to the one-third power all raised to the third power:

[tex](7^{(1/3)})^3[/tex]

Using the property of exponents [tex](a^{(m*n)} = (a^m)^n)[/tex] to simplify:

[tex]7^{(1/3 * 3)[/tex]

The exponent 1/3 multiplied by 3 is equal to 1:

[tex]7^1[/tex]

Any number raised to the power of 1 is itself, so:

7

This justifies that [tex]7^{(1/3)[/tex] raised to the power of 3 is equal to 7.

Therefore, [tex]7^{(1/3)[/tex] is equal to the cube root of 7.

To learn more on exponent number click:

brainly.com/question/19467739

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Answer:

The speed of the current is 2.5 miles per hour

Step-by-step explanation:

Systems of Equations

Let's call:

B = velocity of the boat

C = velocity of the current

When traveling upstream, the current is against the boat thus the relative velocity is B-C.

The distance is the product of the velocity by the time. Since the boat takes 7 hours to travel 35 miles upstream, thus:

d=(B-C)*7=35

Dividing by 7:

B - C = 5       [1]

When traveling downstream, the current and the boat are collaborative and the relative velocity is B+C. The travel takes now 3.5 hours, thus:

d=(B+C)*3.5=35

Dividing by 3.5:

B + C = 10       [2]

Subtracting [2] - [1]:

2C = 5

C = 5/2 = 2.5

The speed of the current is 2.5 miles per hour

Answer:

Step-by-step explanation:

Dimensions of the picture:

Area of the picture:

Scale factor = 2.5

Enlarged picture's area:

Option B is correct

The area of the picture after it is enlarged is 250 inches².

Given that,

The length of the rectangle is labeled 5 inches. The width of the rectangle is labeled 8 inches.

A photographer wants to use a scale factor of 2.5 to enlarge a picture.

Based on the above information, the calculation is as follows:

Here, the dimensions of the picture are 5 in and 8 in

Hence, the area of the picture is,

5 × 8 = 40 in²

Since, Scale factor = 2.5

So, the enlarged picture's area would be,

40 × 2.5 ×2.5

= 250 in²

To learn more about the rectangle visit:

https://brainly.com/question/2607596

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Answer:

1

Step-by-step explanation:

negative times negative is positive so that would make it 3-2 which is 1.

Answer:

1/2 ÷ 3/10

1/2×10/3

5/3

1 2/3

1) option is correct

9514 1404 393

Answer:

  1)  1 2/3

Step-by-step explanation:

The model of choice 1 shows that 3/10 goes into 1/2 one and two-thirds times. That also happens to be the only model with the correct result.

  1/2 ÷ 3/10 = 5/10 ÷ 3/10 = 5/3 = 1 2/3