MATHEMATICS HIGH SCHOOL

(2,4) slope = 2



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Answers

Answer 1
Answer:

Answer:

i dont understand the question

Step-by-step explanation:

the points helped tho thanks :)

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Help a girl a out please and thank you!

The sum of the digits of a two-digit number is 9. If the digits are reversed, the new number is 27 less than the original. Find the original number.

Answers

I did another one just like this about an hour ago.  I did it the elegant, tedious way,
and it took about 2 feet of screen.  Then I realized there was a totally bourgeois but
easy way to do it.  For 5 points, I'll give you the method for the masses:

List all the possible pairs of digits that add up to 9, along with their flips:

18 . . . . . 81
27 . . . . . 72
36 . . . . . 63
45 . . . . . 54

Do you see any pair that are different by 27 ?
How about 36 and 63 ?

So the original number is 63, and when you flip it, it becomes 36, which is 27 less.

Someone help me factorise this polynomial according to the Factor theorem
x^3- 5x^2+2x+8​

Answers

Answer:

(x − 4)(x − 2)(x + 1)

Step-by-step explanation:

Angela scored 15 points less than twice the lowest score on a math test. If her score was95, what was the lowest score on the test?

Answers

Answer:

55

Step-by-step explanation:

To find the lowest score on the math test, we can set up an equation based on the information given.  

Let's denote the lowest score as "x".  

According to the information given, Angela scored 15 points less than twice the lowest score.  

Twice the lowest score is 2x, and Angela's score is 15 points less than that, so her score can be represented as 2x - 15.  

Given that Angela's score is 95, we can set up the equation:  2x - 15 = 95  

To solve for x, we can add 15 to both sides of the equation:  2x - 15 + 15 = 95 + 15  

Simplifying, we have:  2x = 110  

Finally, we can divide both sides of the equation by 2 to isolate x:  2x/2 = 110/2  

Simplifying further, we get:  x = 55  

Therefore, the lowest score on the math test was 55.

11 pounds = _____ fluid ounces

Answers

the answer is 176 because there are 16 fl oz in a pound and since pounds are greater than fl oz You multiply 11×16 to get you product

At the register Annie notices her grocery bill was marked with $14 for the 7 pounds of meat she purchased. What is another wayof saying this ratio?

Answers

Answer:

2:1

Step-by-step explanation:

$2 for 1 pound of meat purchased

Answer:I think 2 Because if you have 7 and You add another its 14 so 2

Step-by-step explanation:Also can you make be braniest poss if not its ok :)

derive the equation of the parabola with a focus at (4,-7) and a directrix of y=-15. put the equatiom in standard form

Answers

Answer:

The equation of the parabola with a focus at (4,-7) and a directrix of y=-15 is y=(x^(2))/(16)-(x)/(2)-10

Step-by-step explanation:

we need to drive the equation of the parabola with a focus at ( 4, -7) and a directrix of y= -15

From the given focus ( 4, -7) and equation of directrix  y = - 15 calculate p

p=(1)/(2)(y_0-y)

where y_0 is is ordinate of focus and y is equation of directrix.

p=(1)/(2)(-7-(-15))

p=(1)/(2)(-7+15)

p=(1)/(2)(8)

p=4

Calculate the vertex (h,k)

h=4\; \text{and}\; k=(-7+(-15))/(2)=-11

vertex (h,k) =(4,-11)

Since, vertex  form is :

(x-h)^(2)=4p(y-k)       (positive 4p shows it open upward)

(x-4)^(2)=4(4)(y-(-11))

(x-4)^(2)=16(y+11)

x^(2)+16-8x=16y+176

subtract both the sides by 176,

x^(2)-8x-160=16y

Divide both the sides in above by 16,

(x^(2))/(16)-(8x)/(16)-(160)/(16)=y

(x^(2))/(16)-(x)/(2)-10=y

Hence, the equation of the parabola with a focus at (4,-7) and a directrix of y=-15 is  y=(x^(2))/(16)-(x)/(2)-10
\sqrt{(x_(0) - 4)^(2) + (y_(0) - (-7))^(2)} = |y_(0) - (-15)|
(\sqrt{(x_(0) - 4)^(2) + (y_(0) + 7)^(2))^(2)} = (y_(0) + 15)^(2)
(x_(0) - 4)^(2) + (y_(0) + 7)^(2) = (y_(0) + 15)^(2)
(x_(0)^(2) - 8x_(0) + 16) + (y_(0)^(2) + 14y_(0) + 49) = y_(0)^(2) + 30y_(0) + 225
x_(0)^(2) + y_(0)^(2) - 8x_(0) + 14y_(0) + 16 + 49 = y_(0)^(2) + 30y_(0) + 225
x_(0)^(2) + y_(0)^(2) - 8x_(0) + 14y_(0) + 65 = y_(0)^(2) + 30y_(0) + 225
x_(0)^(2) - 8x_(0) - 16y_(0) - 160 = 0
16y_(0) = x_(0)^(2) - 8x_(0) - 160
(16y_(0))/(16) = (x_(0)^(2) - 8x_(0) - 160)/(16)
y_(0) = (1)/(16)x_(0)^(2) - (1)/(2)x_(0) - 10
y = (1)/(16)x^(2) - (1)/(2)x - 10
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