MATHEMATICS HIGH SCHOOL

Choose the correct mixed number for the quotient. 19 ÷ 8 = 2 R3

A)2 3/8


B)2 8/3


C)2 3/19


D)3 2/8

Answers

Answer 1
Answer: divide 8 into 19=2 reminder 3 and R is the same as 8

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What is the directrix of the parabola defined by 1/4(y 3)=(x-2)^2?

Answers

for
(x-h)^2=4p(y-k)
vertex=(h,k)
p=vertical distance from vertex to directix
when p is negative, the directix is above the vertex
when p is positive, the directix is below the vertex

(x-2)^2=1/4(y+3)
(x-2)^2=4(1/16)(y+3)
p=1/16
it's positive so we know directix is below vertex
vertex is (2,-3)
go 1/16 down
-3-1/16=-48/16-1/16=-49/16
directix is y=-49/16 aka y=-3.0625

Answer:

y=-49/16

Step-by-step explanation:

Can you explain 3x+4/5=7/10. Solve

Answers

3x+ (4)/(5)= (7)/(10)\ \ | -(4)/(5)\n \n3x+ (4)/(5) -(4)/(5)= (7)/(10)-(4)/(5)\n \n3x = (7)/(10)-(8)/(10) \n \n3x = -(1)/(10) \ \ /*(1)/(3)\n \nx=-(1)/(30)



or \n \n (3x+ 4)/(5)= (7)/(10) \ \ /*10 \n \n 2(3x+4)=7\n \n6x+8 = 7\ \ |-8

6x+8-8=7-8\n \n6x=-1\ \ /:6 \n \n x=-(1)/(6)
3x+ (4)/(5)= (7)/(10) \n \n3x= (7)/(10)-(4)/(5)\n \n3x=(7)/(10)-(8)/(10)\n \n3x=- (1)/(10) \ /:3\n \nx=-(1)/(10)\cdot (1)/(3)\n \nx=-(1)/(30)

-------------------------------------------------

(3x+4)/(5) = (7)/(10) \n \n10(3x+4)=5\cdot 7\n \n30x+40=35\n \n30x=35-40\n \n30x=-5\ /:30\n \nx=- (5)/(30) \n \nx=-(1)/(6)

Does someone know how to do these two? I really can’t fail summer school and ALL work is due tomorrow and I have like 16 missing assignments

Answers

2x+6=80° (alternate angles)

2x=74

x= 37°

15x+15= 180° straight line angle

15x = 165

x= 11°

sorry i dont know i wish i could help

6 hundred thousands + 38 hundreds

Answers

600,000 + 3,800 = 603,800

Solve the equation for y
6x+y=5

Answers

6x + y = 5
adding -6x on both sides
y = -6x + 5 Answer

For what value of k are the two lines 2x + ky = 3 and x + y = 1 parallel?

Answers

Remember that: the slope-intercept form of a
line is
1 of 3
y= m. x+c
where m is the slope of the line.
The equation for the first line is 2x + ky = 3
To find the slope, we simply have to rewrite the
given equation into its slope-intercept form.
Start by subtracting 2a from both sides
KY
=
-22 +3
Divide both sides by k
y =
2
•It
3
K
K
The above equation is now in slope-intercept
form, and the coefficient of a is -2/k, so that
is the slope for the first line.

Final answer:

The two lines 2x + ky = 3 and x + y = 1 are parallel when the value of k equals 2, as parallel lines have equal slopes.

Explanation:

To determine the values of k for which these two lines are parallel, we need to first understand that parallel lines have the same slope. The slope is the coefficient, or number, with the variable x in the equation of the line.

The first line 2x + ky = 3 can be rewritten in slope-intercept form (y = mx + b) as:

y = -2/kx + 3/k

Here, the slope is -2/k. The second line x + y = 1 can also be rewritten in slope-intercept form as:

y = -x + 1

Here, the slope is -1.

Since the slopes of parallel lines are equal, we equate -2/k to -1:

-2/k = -1

Solving this equation, we find that k = 2. So, the two given lines are parallel when k = 2.

Learn more about Parallel Lines here:

brainly.com/question/29762825

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