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Vladimir79 [104]
3 years ago
15

A teacher writes the following product on the board:

Mathematics
1 answer:
GREYUIT [131]3 years ago
6 0

Answer:

Zhenghao is correct

Step-by-step explanation:

We have that:

(2x+3)(x + 4) = x² + 7x + 12

The only two factors of  x² + 7x + 12 different from 1 ,-1 and and itself are (2x+3) and (x + 4)

If Hafsana says that (x + 3) is a factor of x² + 7 + 12, He or she is not correct.

If Zhenghao says that x² + 7x + 12 is divisible by 2x + 3, He or she is correct because (2x + 3) is a factor of x² + 7x + 12

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Help me y’all! Need to turn this in tonight
melomori [17]
Answer: y = -1

Explanation: the y axis is the vertical line, the crossing line intersects at -1.

Hope this helps!
8 0
2 years ago
Parallelogram JKLM has vertices J(-1, 6), K(0, 9), L(6, −3), and M(3, −3). What is the coordinates of the image if the parallelo
Digiron [165]

Answer: (\dfrac13,-2),\ (0,-3),\ (-2,1),\ (-1,1) .

Step-by-step explanation:

Transformation rule for dilation:

(x,y)\to(kx,ky) , where k = scale factor

Given : Scale factor = -\dfrac13

Parallelogram JKLM has vertices J(-1, 6), K(0, 9), L(6, −3), and M(3, −3)

Vertices after dilation:

(-1,6)\to(-1\times\dfrac{-1}{3},6\times\dfrac{-1}{3})=(\dfrac13,-2)

(0,9)\times(0\times-\dfrac13,9\times-\dfrac13)=(0,-3)

(6,-3)\to(6\times-\dfrac13,\ -3\times-\dfrac13)=(-2,1)

(3,-3)\to (3\times-\dfrac13,\ -3\times-\dfrac13)=(-1,1)

Hence, the coordinates of the image if the parallelogram = (\dfrac13,-2),\ (0,-3),\ (-2,1),\ (-1,1) .

8 0
2 years ago
In the function f(x) = 4(x2 − 6x + ____) + 20, what number belongs in the blank to complete the square?
Shkiper50 [21]
Hello :
f(x) = 4(x2 − 6x + 3² - 3²____) + 20 = 4((x2 − 6x + 3²) - 3²____) + 20<span>
      = 4(x-3)² -36+20
</span>f(x) = 4(x-3)² -16 (vertex form)

6 0
2 years ago
What job will make 232,685 after 5 years
Komok [63]

Do you have a multiple choice selection of answers, because there is no way to pick a job out of the blue without certain choices and a math problem set up.

7 0
2 years ago
An horse gallops 200ft turns and trots 350ft turns again and travels 410ft
bija089 [108]

The area of the triangle formed by his path is 34971.98 ft sq to the nearest hundredth.

<h3>What is the Heron's formula?</h3>

The Heron's formula is given as;

√s(s-a)(s-b)(s-c)

where s is half the perimeter of the triangle

WE have been given that horse gallops 200ft, turns and trots 350ft, turns again and travels 410ft to return to the point he started from.

Perimeter of the triangle is given as = 200 + 350 + 410 = 960 ft

Semi perimeter =  960 ft/ 2 = 480 ft

Area =  √s(s-a)(s-b)(s-c)

Area =  √480 (480 -200)(480 -350)(480 -410)

Area =  √480 (280)(130)(70)

Area =  √480 (2548000)

Area = 34971.98

The area of the triangle formed by his path is 34971.98 ft sq to the nearest hundredth.

Learn more about the Heron's formula;

brainly.com/question/20934807

#SPJ1

The complete question is

A horse gallops 200ft, turns and trots 350ft, turns again and travels 410ft to return to the point he started from. What is the area of the triangle formed by his path? round to the nearest hundredth.

6 0
1 year ago
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