what is the direction of the vector line w = (-1,6)

Answer:

Step-by-step explanation:

PQ = q-p

PQ = q-p, therefore PS = (2/3)(q-p)

OS = p + (2/3)(q-p) = (2q+p)/3

OR = q + p/2

To make new vectors, chain vectors, follow arrow directions.  

The sum is the line joining the beginning and end points.

If you need to reverse the direction of a vector, simply put a negative sign.

Answer:

1 and 3 on edg

Step-by-step explanation:

The correct statements are YZ = 9 cm and XZ = 9√2

A triangle with one angle equal to 90° is called a right triangle.

Given that, a right triangle XYZ, with acute angles 45°, we need to determine the correct statements regarding the triangles,

Since, the acutes angles are equal, therefore, sides opposite to them will also be equal,

XY = YZ = 9 cm

Using the Pythagoras theorem,

XY² + YZ² = XZ²

XZ² = 9²+9²

XZ = √162

XZ = 9√2

The longest side is always opposite to the largest angle, which is XZ.

Hence, the correct statements are YZ = 9 cm and XZ = 9√2

Learn more about right triangles, click;

https://brainly.com/question/6322314

#SPJ5

Answer:

it is A

Step-by-step explanation:

Answer:

d

Step-by-step explanation:

We know that diagonals bisect angles of a rhombus, meaning that they split the angles of two equal parts, that opposite angles are equal, and that the angles of a quadrilateral, such as a rhombus, add up to 360 degrees.

Looking at the drawing I uploaded, and taking into account that diagonals bisect angles of a rhombus, we can say that angle x = y and z = 5x-18

Next, given that opposite angles are equal, we can say that angle B = angle D and angle A = angle C. Therefore,

A+B+C+D= 360 (as the angles of a quadrilateral add up to 360)

A + B + A + B = 360 (plugging in A for C and B for D)

2 ( A + B) = 360

A + B = 180

x + y + z + 5x - 18 = 180 (plugging x+y in for A, and z+5x-18 in for B, as x and y make up A and z and 5x-18 make up B)

x+x+5x-18+5x-18 = 180 (because x=y and z=5x-18)

2(x+5x-18) = 180

divide both sides by 2

x+5x-18=90

6x-18=90

add 18 to both sides

6x=108

divide both sides by 6

x = 18

[tex]\longrightarrow{\green{ \: - 3 \: (b - ac)}}[/tex] 

[tex]\large\mathfrak{{\pmb{\underline{\red{Step-by-step\:explanation}}{\red{:}}}}}[/tex]

[tex] \: - 7b - 9ac + 4b + 12ac[/tex]

➼[tex] \: - 7b + 4b - 9ac + 12ac[/tex]

➼[tex] \: - 3b + 3ac[/tex]

➼[tex] \: - 3 \: (b - ac)[/tex]

[tex]\large\mathfrak{{\pmb{\underline{\orange{Happy\:learning }}{\orange{.}}}}}[/tex]

Answer:

B)

Step-by-step explanation:

Answer:

A and C

Step-by-step explanation:

just took the test

the answer is in the picture

Answer:

The slope is 3/4

Step-by-step explanation: slope= rise/run. from point (-2,0) to point (2,3), it rises 3 units and runs 4 units to the right. :)

Answer: fourth answer

Step-by-step explanation:

you cant factor it

Answer:

67.3 degrees

Step-by-step explanation:

Use tan ^-1

tan^-1 (55/23) = 67.3

Answer:

Not a right triangle.

Step-by-step explanation:

We can tell if it's a right triangle or not by using the Pythagorean Theorem.

The largest value is always the hypotenuse (c).

a² + b² = c²

24² + 70² = 75²

576 + 4900 = 5625

5476 ≠ 5625

The values do not equal one another. Therefore, this triangle is NOT a right triangle.

Answer:

its area is square (11+17+4)

I guess this may help you

Answer:

222

Step-by-step explanation:

11* 17 = 187

4*5=20

5*6/2=15

187+20+15=222

Answer:

2−12+27

Step-by-step explanation:

(−3)(−9)

x(x-9) -3(x-9)

x2 (square lol) - 9x -3 (x-9)

x2-9x-3x+27

x2-12x+27

solution:

2−12+27 answer.

Answer:

Step-by-step explanation:

(x-3)(x-9)

x(x-9)-3(x-9)

x^2-9x-3x+27(add like terms)

x^2-12x+27

Answer:

120 miles

Step-by-step explanation:

Answer:

120

Step-by-step explanation:

2 divided by .5 = 4 ( 4 half’s equal 2 )

4 times 30 miles = 120 ( each for represents 30 )

Answer:

Step-by-step explanation:

Answer:

866

Step-by-step explanation:

     866

          4

x______

    3464

Answer:

14x - 2

Step-by-step explanation:

2(7x - 1)

Distribute the 2

2*7x - 2*1

14x - 2

Answer:

14x-2

Step-by-step explanation:

2(7x-1)

(2×7x)+[2×(-1)]

14x-1

Answer:

Step-by-step explanation:

a) 5 = 5

10 = 2 * 5

40 = 2 * 2 * 2 *5

Least common denominator = 2*2*2*5=40

Now find equal fractions with denominator 40

[tex]\frac{2}{5}=\frac{2*8}{5*8}=\frac{16}{40}\\\\\frac{7}{10}=\frac{7*4}{10*4}=\frac{28}{40}\\\\\frac{9}{40}[/tex]

Fractions with equal denominators:

[tex]\frac{16}{40} ; \frac{28}{40} ; \frac{9}{40}[/tex]

b) 25 = 5* 5

40 =  2 * 2 * 2 * 5

120 = 2 * 2 * 2 * 3 * 5

Least common denominator = 8*25*3=600

[tex]\frac{17}{25}=\frac{17*24}{25*24}=\frac{408}{600}\\\\\frac{23}{40}=\frac{23*15}{40*15}=\frac{345}{600}\\\\\frac{67}{120}=\frac{67*5}{120*5}=\frac{335}{600}\\\\[/tex]

Answer:27

Step-by-step explanation:

If you are adding 6$ taxthen it would be

21+6-27

Answer:1.21x

Step-by-step explanation:

Let the initial population was x

(1.1x)*1.1=1.21x

Answer:

x = 19

Step-by-step explanation:

These angles are supplementary meaning they add up to 180°.

7x - 1 + 3x - 9 = 180

10x - 10 = 180

10x = 190

x = 19

Answer:

C.) 48 degrees

Step-by-step explanation:

First you need to find x. We already know that is a straight line or 180 degrees, so you will make an equation to solve which is: (7x-1)+(3x-9)=180

To solve this equations you have to take away parenthesis and group like terms:

7x+3x-1-9=180 turns into 10x-10=180

Then you have to add ten to both sides then divide by ten and the answer is x=19

then you just have to find the angle of ABC by solving 3x-9, substituting 19 for x

Then the answer to that is 48 degrees

Answer:

3

Step-by-step explanation:

y = mx + b

m = slope

In this equation,

m = 3

Thus, the slope, or m, is 3.

General equation for slope-intercept form

y=mx+C

where m is slope

Comparing the given eqn y=3x

m= 3

Therefore, slope = 3

Answer: [tex]11\ ft[/tex]

Step-by-step explanation:

Given

The volume of a sphere is [tex]5572.45\ ft^3[/tex]

The volume of sphere with radius r is given by

[tex]\Rightarrow \dfrac{4\pi r^3}{3}[/tex]

Insert the values

[tex]\Rightarrow V=\dfrac{4\pi }{3}\times r^3\\\\\Rightarrow 5572.45=\dfrac{4\pi }{3}\times r^3\\\\\Rightarrow r^3=\dfrac{5572.45\times 3}{4\pi }\\\\\Rightarrow r^3=1330.992\\\\\Rightarrow r=10.97\approx 11\ ft[/tex]

Therefore, the radius is [tex]11\ ft[/tex]

Answer:

I love algebra anyways  

the ans is in the picture with the steps  

(hope it helps can i plz have brainlist :D hehe)

Step-by-step explanation:

Answer:

[tex] \displaystyle y = - \frac{1}{2} x - 3[/tex]

Step-by-step explanation:

we are given a line

we want to figure out the equation of theline remember the slope-intercept form of linear equation:

[tex] \displaystyle y = mx + b[/tex]

where:

from the graph we can clearly see that the line passes y-intercept at (0,-3) point therefore b is -3

to figure out m we can consider the following formula:

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

from the graph we obtain:(0,-3),(2,-4)

[tex] \displaystyle m = \frac{ - 4 - ( - 3)}{ 2 - 0} [/tex]

simplify substraction:

[tex] \displaystyle m = - \frac{ 1}{ 2 } [/tex]

now altogether substitute:

[tex] \displaystyle y = - \frac{1}{2} x - 3[/tex]

and we are done!

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

Explanation:

The table says that when x = 1, the output is y = -2.

So the point (1, -2) is on the parabola.

The table also says that point (3, -10) is on the parabola. We're focusing on this because x = 3 is the other endpoint.

Find the slope of the line through those two points. The slope here is the same as the average rate of change.

m = (y2 - y1)/(x2 - x1)

m = (-10 - (-2))/(3 - 1)

m = (-10 + 2)/(3 - 1)

m = -8/2

m = -4 is the slope, and therefore, the average rate of change from x = 1 to x = 3.

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

Explanation:

Use the slope and given point to find the y intercept

y = mx+b

8 = (-2/3)*(1) + b

8 = -2/3 + b

8 + 2/3 = b

24/3 + 2/3 = b

26/3 = b

b = 26/3

The equation of the line is y = (-2/3)x + 26/3

To confirm this, plug in x = 1 and we should get y = 8, due to the point (1,8)

y = (-2/3)x + 26/3

y = (-2/3)*1 + 26/3

y = -2/3 + 26/3

y = (-2+26)/3

y = 24/3

y = 8

So that verifies we have the correct equation.

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

Next, go through each answer choice to see if the x coordinate of the point leads to the y coordinate.

If we try x = 7, then,

y = (-2/3)x + 26/3

y = (-2/3)(7) + 26/3

y = -14/3 + 26/3

y = (-14+26)/3

y = 12/3

y = 4

This shows that (7,4) is on the line. Choice A is the answer

That rules out choice B.

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

If we tried x = -5, then,

y = (-2/3)x + 26/3

y = (-2/3)(-5) + 26/3

y = 10/3 + 26/3

y = 36/3

y = 12

meaning that (-5,12) is on the line. That rules out choices C and D.

Refer to the graph below. It visually confirms that of the four answer choices, only point A is on the line. I used GeoGebra to make the graph.