MATHEMATICS MIDDLE SCHOOL

Which expressions show how 6 • 45 can be rewritten using the distributive property?A: 6×40+×5
B: 6×40-6×5
C: 6×50-6×5
D: 6×50+5

Answers

Answer 1
Answer: distributive property is
a(b+c)=ab+ac
a(b-c)=ab-ac

45=40+5 and 50-5 therfor

40+5=45
6*45=6(40+5)=6(40)+6(5) option A

also
50-5=45 so
6*45=6(50-5)=6(50)-6(5) option C


answer is A and C
Answer 2
Answer: Your answer is A because if you see,  (6x40) is equal to 240 and (6x5) is equal to 30 and if you add them you'll get 270 and (6x45) is equal to 270...

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Ok hey guys 11 its and explain so convert this into vertex form y=-2x^2 +16x-37

Answers

vertex form is y=a(x-h)^2+k

basically complete the square

isolate the x^2 and x term, then  undistribute the -2
y=-2(x^2-8x)-37
take 1/2 of -8 and square it and add 0 to inside
y=-2(x^2-8+16-16)-37
complete the squaer
y=-2((x-4)^2-16)-37)
distribute the -16 to the -2
y=-2(x-4)^2+32-37
y=-2(x-4)^2-5

Y= x (3x + 10)
is this linear or non linear?
​

Answers

Answer:y=3x2+10x

not linear
Simple way to find if something is linear or non linear is by looking at the powers. If it’s anything over power of 1 it isn’t linear.

x(3x+10) = 3x(squared) +10x. Which makes it non-linear

Work out the volume of this prism

Answers

We can see here that when we work out the volume of the prism using base area of 10 cm² and height of 15 cm, the volume of the prism we getis 150 cm³.

What is a prism?

A prism is a three-dimensional geometric shape that has two congruent and parallel polygonal bases connected by a set of parallelograms or rectangles called lateral faces. The bases of a prism are always polygons, and the lateral faces are always rectangles. The lateral edges of a prism connect corresponding vertices of the bases.

To find the volume of a prism, you can multiply the base area by the height. In this case, the base area is given as 10 cm² and the height is 15 cm.

Volume of the prism = Base area × Height

Volume = 10 cm² × 15 cm

Volume = 150 cm³

Therefore, the volume of the prism is 150 cubic centimeters (cm³).

Learn more about prism on brainly.com/question/23766958

#SPJ2
1500 cm 2 10x10=100 100 x 15 = 1,500

Consider the following system of equations: y = 5x + 6 y = −x − 7 Which description best describes the solution to the system of equations? Line y = 5x + 6 intersects line y = −x − 7.
Lines y = 5x + 6 and y = −x − 7 intersect the x-axis.
Lines y = 5x + 6 and y = −x − 7 intersect the y-axis.
Line y = 5x + 6 intersects the origin.

Answers

 y = 5x + 6
y = −x − 7 

5x + 6 = -x - 7
6x + 6 = -7
6x = -13
x = -13/6

y = 5(-13/6) + 6
y = -29/6

The solution is (-13/6, -29/6) and that tells us that the two ines do not intersect at the origin or any of the two axis. If they intersected at the origin, then the solution should have been (0, 0). If they intersected at the x-axis, the solution should have been (x, 0). If the two lines intersected at the y-axis, the solution would have been (0, y).

The answer is A) Line y = 5x + 6 intersects line y = −x − 7.

Answer:

The answer is A. Line y = 5x + 6 intersects line y = −x − 7.

Hope This Helps!

1. Lisa walked 48 blocks in 3 hours
_________blocks per hour

Answers

To solve this, we divide 48 by 3.
48÷3=16
16 blocks per hour.
16 blocks per hour is the answer i came up with

What is the volume of a rectangular prism with length 90 cm, height of 70 cm, and the width of 40 cm?

Answers

volume=Legnth times width times height
legnth=90
height=70
width=40
volume=90 times 40 times 70
volume=3600 times 70
volume=252000


answer is v=252,000 cm^3
V= whl

252000
40 x 70 x 90 = 252000
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