Which of the following statements correctly uses the distributive property?

-2(15 - 3) = -2(15) + (-2)(3)
7(9 - 8) = 7(9) - 8
9(-7 + 6) = 9(-7) + 9(6)
-3(12 + 5) = -3(12) - (-3)(5)

Answer:

1) -3/4

2) (6, 0), (0, -4)

3) connect (0,-2) and (8,0) together

Step-by-step explanation:

1) (-2) - (-5) / (-1) - 3 = -3/4

2) x = 0 -3y=12 y = -4, y= 0 2x =  12 x = 6, x intercept = (6, 0) y intercept = (0, -4)

3) x - 4y = 8 this could be written as y = x/4 - 2 and y intercept is (0, -2) and x intercept is (8, 0) so connect these points together and make a line

#1

#2

Inetercept form x/a+y/b=1

x inetercept at 6 and y intercect at -4

#3

Graph attached

Answer:

y- (0,2.5) x-(3.5,0)

Step-by-step explanation:

This is because the intercepts of a graph are the points at which a line intersects with a desired axis. So for the Y axis the inercept would be at 2.5 making the y intercept (0,2.5). The same concept is used on the X axis.

[tex]\dfrac{2+6i}{2-4i}\\\\\\=\dfrac{2(1+3i)}{2(1-2i)}\\\\\\=\dfrac{1+3i}{1-2i}\\\\\\=\dfrac{(1+3i)(1+2i)}{(1-2i)(1+2i)}\\\\\\=\dfrac{1+2i+3i+6i^2}{1-(2i)^2}\\\\\\=\dfrac{1+5i-6}{1+4}~~~~;[i^2=-1]\\\\\\=\dfrac{5i-5}{5}\\\\\\=\dfrac{5(i-1)}5\\\\=i-1\\\\=-1+i\\\\\text{It is in a form of a +bi so,}~ a = -1~ \text{and}~ b = 1[/tex]

Answer:

x=120

Step-by-step explanation:

this is obtained by finding 22% of x, and equating it to the answer as shown below

x *22/100 = 26.4

22x/100 = 26.4

22x = 2640

x =120

Answer:

none of these is the answer

hope it helps you

Step-by-step explanation:

Hope it will help you...

Answer:

  (fg)(9) = 948

Step-by-step explanation:

(fg)(9) = f(9)×g(9) = (9 +3)(9^2 -2) = (12)(79)

(fg)(9) = 948

Answer:

yes the two triangles are congruent by the SSS theorum.

Step-by-step explanation:

it is given that two of the sides are congruent. they also share a side making that side also congruent. so, all three sides are equal, making the two triangles congruent by SSS/side-side-side theorum.

Answer:

24 25 26 27 28 29 30 31 32 33 34

Step-by-step explanation:

Answer:

10.5

Step-by-step explanation:

A=a+b

2h=2+5

2·3=10.5

Answer:

solution given:

let's see only in a right-angled triangle Δ ACD.

AC=3 units

AD=5 units

since Δ ACD is a right-angled triangle. It satisfies Pythagoras law

[tex]AD^{2}=AC^{2}+CD^{2}[/tex]

25=9+[tex]CD^2[/tex]

[tex]CD^2[/tex]=25-9=16

[tex]CD=\sqrt{16} =4 units[/tex]

Now

Area of rectangle Δ ACD=[tex]\frac{1}{2} CD*AC=\frac{1}{2}*4*3=6\: square \:units[/tex]

similarly,

[tex]\frac{1}{2} AD*CE=6\: square \:units\\ 5*CE=6*2\\CE=\frac{12}{5}=2.4 units[/tex]

since AB=CE=2.4 units

Δ ACE is a right-angled triangle. It satisfies Pythagoras law.

[tex]AC^{2}=AE^{2}+CE^{2}\\3^2=AE^2+2.4^2\\9-5.76=AE^2\\AE and BC=\sqrt{1.24} =1.11 units[/tex]

now

area of trapezoid=area ofΔACD+Area of ΔABC

=6+[tex]\frac{1}{2}AB*BC=6+\frac{1}{2}*2.4*1.11=6+1.33 =7.33\: square \:units[/tex]

Step-by-step explanation:

Answer:

Step-by-step explanation:

5 - 2 cannot be further simplified? No properties of exponents can be used due to already knowing the answer of the top of your head, it could be a mistype though, or I'm just very very d*mb.

Answer:

63 m

Step-by-step explanation:

Perimeter is 276, 2L + 2W = 276, so L + W = 138

L = 75

138 - 75 = W

63 m

Answer:

Charlie is walking to the stadium. He has to wait for the traffic to stop, so he can cross the street. The light turns red and he is able to cross. He makes it to the stadium.

Step-by-step explanation:

hope this helps!!

Answer:

Charlie began walking and continued at a speed of 4 mph for 24 minutes. Then he stopped walking and took an 8-minute rest. He then walked for 16 minutes at a constant speed of 4 mph. Finally, Charlie slowed his pace down but kept walking for another 16 minutes.

Answer:

[tex]y= \frac{1}{3}x -9[/tex]

Step-by-step explanation:

First you must substract -5 to both sides

-5-4= -9

[tex]y= \frac{1}{3}x -9[/tex]

Answer:

Step-by-step explanation:

You have four balls

A draw of blue, green or yellow (3 balls) means success for NOT drawing a red ball

You have a 3 in 4 chance of not drawing a red ball on the first  draw.

With replacement, the 3 in 4 chance occurs on every draw

the odds multiply together for each draw.

Chance of not drawing a red ball in 40 tries is (3/4)⁴⁰

or about 1 in 10⁻⁵ or 0.00001

Answer:

19 students ride a bike to school

Answer:

I think its right

Step-by-step explanation:

a) In the long run, we have, 5k=10 and k=2l Thus, C=2l+3l= 5l=0.5q Thus, AC=5l/10l =0.5 MC=0.5 b) In the short run, k=10 Q=min(50,10l) If l<5, q=10l. C=10+3l= 10+0.3q Thus, AC=10/q + 0.3 If l>5, q=50. C= 10+3l AC= (10+3l)/50 If q>50, then MC...

The value of g(3) is 11

The function is given as:

g(x) = -4f(x) + 7

Start by calculating f(x) when x = 3

From the graph, we have:

f(3) = -1

So, we have:

g(3) = -4f(3) + 7

g(3) = -4* -1 + 7

Evaluate the product

g(3) = 4 + 7

Evaluate the sum

g(3) = 11

Hence, the value of g(3) is 11

Read more about composite functions at:

https://brainly.com/question/10687170

Answer:

y = (7/4)x + 0

Step-by-step explanation:

yeah-ya....... right?

Answer:

5

Step-by-step explanation:

Usually, the sequence is [tex]a_{1}, a_{2}, a_{3}, a_{4}, ..., a_{n}[/tex] where n is a postive number.

From the question,

[tex]a_{n} = a_{n-1} - 5[/tex]

if n = 2 ;  

[tex]a_{2} = a_{1} - 5[/tex]

[tex]a_{2} = 20 - 5 = 15\\[/tex]

Thus, we got [tex]a_{2} = 20[/tex].

if n = 3 ;  

[tex]a_{3} = a_{2} - 5[/tex]

[tex]a_{3} = 15 - 5 = 10[/tex]

Thus, we got [tex]a_{3} = 10[/tex].

if n = 4 ;  

[tex]a_{4} = a_{3} - 5[/tex]

[tex]a_{4} = 10 - 5 = 5[/tex]

Thus, we got [tex]a_{4} = 5[/tex].

***There are many ways to solve this question

example:

[tex]a_{n} = a_{n-1} - 5[/tex]

[tex]a_{n} - a_{n-1} = - 5[/tex]

Substitute n with 2, 3, 4

Then, we will get 3 equations.

Sum them up;

We will get

[tex]a_{4}-a_{3}+a_{3}-a_{2}+a_{2}-a_{1} = -15\\a_{4}-a_{1} = -15\\a_{4} = -15+20 = 5[/tex]

Answer:

  (7, -4)

Step-by-step explanation:

Rotation 180° causes both coordinates to change sign. It is the same as reflection across the origin, or  reflection across both the x- and y-axes.

The image point is (7, -4).

Answer:

At most one of the adults has high blood pressure.

Step-by-step explanation:

Answer:

kanye west

Step-by-step explanation:

Answer:

23°

Step-by-step explanation:

Opposite angles so:

60° = 2x + 14

Therefore:

x = 23°

Answer:

x is 23°

Step-by-step explanation:

those opposite angles and are always equal to each other...so to get x take 60-14 then answer divide by two

Answer:

The answer is 6.79 dollars

Step-by-step explanation:

The answer is 6.79 dollars because 5 times 1 (she bought 5 eggs for 1 dollar each) + the added basket 1.79 equals $6.79

Answer:

i know it is C last year i took that quiz and well i studied /j

Step-by-step explanation:

The average distance is 300 yards

The ratio is given as:

Driver : 2-iron = 5 : 4

When the iron driver is 240 yards, we have:

Driver : 240 = 5 : 4

Express as fraction

Driver/240 = 5/4

Multiply both sides by 240

Driver= 300

Hence, the average distance is 300 yards

Read more about ratio at:

https://brainly.com/question/2328454

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