MATHEMATICS HIGH SCHOOL

(write the slope-intercept form of the equation of each line) helllpppppp- pls-

Answers

Answer 1

Answer:

Answer:

(-1,0) and (0, 4)

Step-by-step explanation:

The x and y intercept of a function (say the x intercept), is when y = 0 and vice versa.

The x intercept in this function is when y = 0

Thus,

4x-0=-4

4x = -4

x = -1.

So the x- intercept point = (-1, 0)

Similarly,

4(0)-y= -4

(x is equated to 0 to find the y - intercept)

-y = -4

∴ y = 4

y- intercept point = (0, 4)

Hope this helps! :)

Answer 2

Answer: The answer should be Y=4x+4

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The area of circle b is 36 times greater than the area of circle a. the radius of circle b is 30. what is the radius of circle a?

Answers

The radius of circle a is 5

Let, area of circle a = a and of b = b

A.T.Q,

36a = b

36a = 30

a = 30/36 = 5/6

πr² = 5/6

r² = 5/6π

r = √5/√6π

You can calculate that further by putting the value of π

Answer all pls1. Simplify the expression (-m) + 3 + 7m - 1
2. Simplify the expression 2v - 7 - 12v + 15
3. What is the result when you add (c + 4) and (2c - 1)?
4. Subtract the expressions (2w + 3) - (w + 3)
5. What is the result when 2a - 5 is subtracted from 3a + 3?

Answers

1. 6m + 2
2. 8 - 10v
3. 3c + 3
4. w

A triangle has two sides of length 5 and 12. what value could the length of the third side be? More then one can be correct.a.7
b.5
c.19
d.17
e.11
f.9

Answers

$Condition\ for\ existing\ triangle\n\n a,b,c- sides\ of\ triangle\n\n a+b>c\na+c>b\nb+c>a\n 5+12=17\n\n a)\ 7<5+12,\ 5+7>12 \ , 7+12>5 \n b)\ 5<5+12,\ \ 5+5\not>12\nc)19\not<5+12\nd)17\not<5+12\ne)11<12+5,\ \ 11+5>12,\ 11+12>5 \nf)9<12+5,\ \9+5>12\ \ 12+9>5 \n\Third \side\ can\ be\ a,e,f$

Solve the system by substitution. y = 2x

3x + 2y = 21

Answers

$\left \{ {{y=2x} \atop {3x+2y=21}} \right \longrightarrow \left \{ {{y=2x} \atop {3x+2\cdot2x=21}} \right. \longrightarrow \left \{ {{y=2x} \atop {7x=21}} \right.\longrightarrow \left \{ {{y=2x} \atop \boxed{{x=3}}} \right. \n\ny=2x\longrightarrow y=2\cdot3\longrightarrow \boxed{y=6}$

y=2x;3x+2y=21

Solve y=2x for y

Substitute (2x) for y in 3x+2y=21

3x+2y=21

3x+22x=21

7x=21 (Simplify)

7x / 7 = 21 / 7(Divide both sides by 7)

x=3

Substitute (3) for x in y=2x:

y=2x

y=(2)(3)

y=6 (Simplified)

y=6 and x=3

Factor
the expression 3x3 +
2x2y + 3xy2 + 2y3

Answers

$3x^3 +2x^2y + 3xy^2 + 2y^3 =\n \n=x^2(3x+2y) +y^2(3x+2y)=\n \n=(3x+2y)(x^2+y^2)$

A bicycle lock requires a two-digit code of numbers 1 through 9, and any digit may be used only once. Which expression would determine the probability that both digits are even?

Answers

The expression which would determine the probability that both digits are even which is required for bicycle lock is (4P1)(3P1)/(9P2).

What do you understand by the term permutation?

The permutation is the arrangement of the things or object in a systematic order, in all the possible ways. The order of arrangement in permutation is in linear.

A bicycle lock requires a two-digit code of numbers 1 through 9, and any digit may be used only once. The probability of choosing 2 digits from 9 is,

$^9P_2$

There are total 4 even numbers {2,4,6,8}. The probability of choosing first digit's even from 4 even numbers is,

$^4P_1$

For the second digit to be even is,

$^3P_1$

Thus, the favorable outcome is, $(^4P_1)(^3P_1)$ and total outcome is $^9P_2$ . Thus, the expression which would determine the probability that both digits are even is,

$P=((^4P_1)(^3P_1))/(^9P_2)$

Thus, the expression which would determine the probability that both digits are even which is required for bicycle lock is (4P1)(3P1)/(9P2).

Learn more about the permutations here;

brainly.com/question/12468032

#SPJ3

The correct answer is:

A. P(both even) = $((_(4)P_(1))(_(3)P_(1)))/(_(9)P_(2))$

The expression would determine the probability that both digits are even.

$|Huntrw6|$

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