A baseball field is being constructed. The builders noticed that the batters would have the sun in their eyes when batting from point A. The builders decided to rotate the model 90° counterclockwise about the origin. Where is the new location of the batter?

Answer:

see below

Step-by-step explanation:

Angles opposite each other when two lines cross. (see attached)

in the attached example, the angle a° and b° are vertical angles.

Step-by-step explanation:

[tex]

\underline{\bf{Given\::}}

Given:

\underline{\bf{To\:find\::}}

Tofind:

\underline{\bf{Explanation\::}}

Explanation:

\boxed{\bf{\frac{1}{f} =\frac{1}{v} -\frac{1}{u} }}}}

\begin{gathered}\longrightarrow\sf{\dfrac{1}{-10} =\dfrac{1}{v} -\dfrac{1}{-30} }\\\\\\\longrightarrow\sf{\dfrac{1}{v} =\dfrac{1}{-10} +\dfrac{1}{30} }\\\\\\\longrightarrow\sf{\dfrac{1}{v} =\dfrac{-3+1}{30} }\\\\\\\longrightarrow\sf{\dfrac{1}{v} =\cancel{\dfrac{-2}{30} }}\\\\\\\longrightarrow\sf{\dfrac{1}{v} =\dfrac{1}{-15} }\\\\\\\longrightarrow\sf{v=-15\:cm}\end{gathered}

⟶

−10

1

=

v

1

−

−30

1

⟶

v

1

=

−10

1

+

30

1

⟶

v

1

=

30

−3+1

⟶

v

1

=

30

−2

⟶

v

1

=

−15

1

⟶v=−15cm

\boxed{\bf{M \:A \:G \:N\: I \:F \:I \:C\: A\: T \:I \:O\: N :}}

MAGNIFICATION:

\begin{gathered}\mapsto\sf{m=\dfrac{Height\:of\:image\:(I)}{Height\:of\:object\:(O)} =\dfrac{Distance\:of\:image}{Distance\:of\:object} =\dfrac{v}{u} }\\\\\\\mapsto\sf{m=\cancel{\dfrac{-30}{-15}} }\\\\\\\mapsto\bf{m=2\:cm}\end{gathered}

↦m=

Heightofobject(O)

Heightofimage(I)

=

Distanceofobject

Distanceofimage

=

u

v

↦m=

−15

−30

↦m=2cm

Thus;

The magnification will be 2 cm .

[/tex]

7, because 8/4 = 2 which means that 1 guest = $2. So if we do 14 / 2 to see how many guests that would be, it's 7.

Answer:

7

Step-by-step explanation:

Well if it's $8 for 4 people then you have to divide to get the rate:

$8/4 = [tex]\frac{2}{person}[/tex]

now you can divide the disired amount to get the number of people:

$14/ [tex]\frac{2}{person}[/tex] = 7 people

Answer:

Step-by-step explanation:

10 i

es esto

Answer:

120 is the score

Step-by-step explanation:

3 correct moves X 50 points for a correct move = 150 points

-3 points for every seconds over the time X 10 seconds over 2 minutes = 30 points lose -30

150 - 30 = 120

Answer:

ΔABD ≅ ΔCDB

Step-by-step explanation:

Since a = 3, we can sub 3 into the expressions and then get a value for each side length.

AB: 3 + 7 = 10

BC = 16

CD: 12 - 2 = 10

DA: 18 - 2 = 16

Hence:

AB = CD (both have sidelengths of 10)

AD = CB (both have sidelengths of 16)

BD = BD (common line)

Therefore: ΔABD ≅ ΔCDB      Q.E.D.

Answer:

-4.23230, -4.232300, -4.2323000

Answer:

1) -4.23230 2)-4.232300 3)-4.2323000

Step-by-step explanation:

Where is my brainliest and my points :)

Answer:

B

Step-by-step explanation:

because 10 and 11 are not equal, therefore, when you add 10 then subtract 11, you will not end up with your original number

Answer:

Deposit $10, then withdraw $11.

Step-by-step explanation:

If you have $10 and you take away $11. You balance a of -1. Which is not zero.

Answer:

107.8

Step-by-step explanation:

convert 10% into decimal

1.1

then calculate

98 × 1.1

107.8

Hope this helps!

Have a nice day!

If you find my answer helpful

Pls consider marking my answer as Brainliest! It would mean a lot!

Answer:

$107.80

Step-by-step explanation:

10% of $98 is $9.80.

9.80 + 98 = 107.80

Answer:

[tex]13x+7y\leq 110[/tex]

Step-by-step explanation:

Let "x" represents the number of games Derrick can buy and "y" represents the number of movies he can buy.

Cost of all video games = $26

Cost of all movies cost = $14

Total amount with Derrick = $220

So,

cost of [tex]x[/tex] video games + cost of [tex]y[/tex] movies [tex]\leq[/tex] 220

Therefore, the inequality is [tex]26x+14y\leq 220[/tex]

Divide this inequality by 2

[tex]13x+7y\leq 110[/tex]

Answer:

n = 15

Step-by-step explanation:

4n + 5 + 8n - 5 = 180

~Combine like terms

12n = 180

~Divide 12 to both sides

n = 15

Best of Luck!

Gente

Vayan

Aaaa

MI

PERFIL

Necesito

Su

Ayuda

Answer:

2/5 thats the answer i think

Answer:

2/5

Step-by-step explanation:

[tex]\frac{7}{8}[/tex]×[tex]\frac{16}{35}[/tex]

7×16=112

8×35=280

Simplify:

[tex]\frac{112}{280}[/tex] 112÷4=28 280÷4=70

[tex]\frac{28}{70}[/tex] Continue simplifying → 28÷2=14 70÷2=35 14/35 continue simplifying 14÷7=2 35÷7=5 2/5 You cannot continue simplifying.  

So, [tex]\frac{2}{5}[/tex] is the answer.

Answer:

The percentage of change is an increase of 12% from the original

Step-by-step explanation:

The percentage of change is a percentage of increase because the new value is greater than the original.

To find the percentage of change, we can divide the new value by the old which will give us the amount it increased by in decimal form, which we can simply multiply by 100 to find percentage:

84/75=1.12

1.12x100 = 112

The new value is 112% of the original, this means that the percentage of change is an increase of 12% from the original.

Hope this helped!

Answer:

increase and 12%

Step-by-step explanation:

84 -75 = 9

9 ÷ original # (75) = 0.12

0.12 x 100 = 12%

Answer:

Option 3

[tex]y=-\frac{1}{4} x-1[/tex]

Step-by-step explanation:

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

where m = slope, and b = y intercept

The y intercept is -1. That is because the given line intersects the y axis at the point (0,-1)

The slope is -1/4

That is because it goes up one, and right -4. That means it goes up 1 and left 4.

Answer:

y = 1/6x -13/6

Step-by-step explanation:

x-6y = 13

Subtract x from each side

x-x-6y =-x+ 13

-6y = -x+13

Divide each side by -6

-6y/-6 = -x/-6 + 13/-6

y = 1/6x -13/6

Given:

The inequality is

[tex]x-(5-3x)\leq 2x-1[/tex]

To find:

The solution of the given inequality.

Solution:

We have,

[tex]x-(5-3x)\leq 2x-1[/tex]

[tex]x-5+3x\leq 2x-1[/tex]

[tex]4x-5\leq 2x-1[/tex]

Subtract 2x from both sides.

[tex]4x-5-2x\leq 2x-1-2x[/tex]

[tex]2x-5\leq -1[/tex]

Add 5 on both sides.

[tex]2x-5+5\leq -1+5[/tex]

[tex]2x\leq 4[/tex]

Divide both sides by 2.

[tex]x\leq 2[/tex]

It means, the numbers less than 2 or 2 are included in the solution set.

Number on the left side of 2 are less than 2. So, number line with a filled circle at 2 and shading to the left.

Therefore, the correct option is D.

Answer:

x=-6

Step-by-step explanation:

Add 3 on both sides and subtract 6 on both sides.

This gives you -2x=12

Divide -2 on both sides

this gives you -6.

x=-6

[tex] \huge{\red{\boxed{\sf{x = - 6}}}}[/tex]

Step By Step Explanation:

Step 1:

→[tex]4x - 3 = 6x + 9[/tex]

Step 2:

→[tex]4x - 6x = 9 + 3[/tex]

Step 3:

→[tex] - 2x = 12[/tex]

Step 4:

→[tex]x = \frac{12}{ - 2} [/tex]

Step 5:

→[tex]\green{x = - 6}[/tex]

verification:

Step 1:

⇝[tex]4( - 6) - 3 = 6( - 6) + 9[/tex]

Step 2:

⇝[tex] - 24 - 3 = - 36 + 9[/tex]

Step 3:

⇝[tex] - 27 = −27[/tex]

[tex]\huge{ \boxed{\sf{‡hence\: vertified‡}}}[/tex]

Answer:

What are we meant to do its sideways

Step-by-step explanation:

Answer:

(15x- 8y)

Step-by-step explanation:

"y2"   was replaced by   "y^2"

((0-(x2))+9xy)+(((x2)+6xy)-23y2)

15xy - 8y2

= y • (15x - 8y)

Answer

9

Step-by-step explanation:

Divide 63 by 9 months

7 students per month

63 / 9 = 7

Answer:

81 and 72

Step-by-step explanation:

Answer:

81 and 72

Step-by-step explanation:

Answer:

-15

Step-by-step explanation:

-3(-4-5x)= -18

12+15x= -18-12

15x= -30

x= -30÷15

x= -15

Answer:

1.7r

Step-by-step explanation:

 Option (3) will be the correct construction of the angle bisector.

   Steps to construct an angle bisector are as followed,

Step - 1

Put the compass at the vertex of the angle.

Step - 2

Draw an arc cutting both the arcs at two distinct points.

Step - 3

Draw two arcs from these points intersecting at a point.

Step - 4

Join the vertex and the point of intersection formed in step - 3 which will be the angle bisector.

     Therefore, Option (3) will be the correct option.

Learn more,

https://brainly.com/question/8607612

Answer:

I think its 11x/10

Step-by-step explanation:

Answer:

C

Step-by-step explanation:

The true answer is -61

Tip: If you want the correct answer you can not have a typo. Just a heads up.

Answer:

1/10

Step-by-step explanation: