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katen-ka-za [31]
4 years ago
14

Point J (-2,1) and point K (4,5) form line segment JK. For the point P that partitions JK in the ration 3:7, what is the y- coor

dinate of P?
Mathematics
2 answers:
Ainat [17]4 years ago
7 0
Y = 2.4 and the x = -0.3
amid [387]4 years ago
6 0

Answer:

2.2

Step-by-step explanation:

If  point P (Xp, Yp) divides a line segment from J (Xj, Yj) to K (Xk, Yk) in the ratio a:b, then the y-coordinate of P is

Yp = Yj + a/(a+b) * (Yk - Yj)

Here Yj = 1, Yk = 5, a = 3 and b = 7. Replacing

Yp = 1 + 3/(3+7) * (5 - 1)

Yp = 2.2

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1 > 5 (b - 14) + 16 help me please
nydimaria [60]

Answer:

b < 11

Step-by-step explanation:

Given

1 > 5(b - 14) + 16 ← distribute and simplify right side

1 > 5b - 70 + 16

1 > 5b - 54 ( add 54 to both sides )

55 > 5b ( divide both sides by 5 )

11 > b, thus

b < 11

8 0
4 years ago
A coffee shop sells lattes for $4 and cappuccinos for $3. Last Friday, they sold 78 drinks for a total of $252.
Bad White [126]
Answer: 60 cappuccinos were sold.

Explanation:
x = number of lattes sold
y = number of cappuccinos sold

Two equations can be set up:
x + y = 78
4x + 3y = 252

The first equation can be rearranged and substituted into the other equation to find the value of a variable.

y = 78 - x
4x + 3(78 - x) = 252
4x + 234 - 3x = 252
x + 234 = 252
x = 18

To find y, the value of x can be substituted into either equation.

x + y = 78
18 + y = 78
y = 60

To check answers, substitute both values into the original equations and make sure they work.

x + y = 78
18 + 60 = 78
78 = 78

4x + 3y = 252
4(18) + 3(60) = 252
72 + 180 = 252
252 = 252
5 0
3 years ago
6-7-(-4)-3<br> Help me please!<br> I know the answer is 0 but I need a step by step explanation
Alinara [238K]

Answer:

0

Step-by-step explanation:

6 - 7 - (-4) - 3

6 - 7 first, and the 4 - 3

-1 + 1

-1 + 1 is 0

0

7 0
4 years ago
Read 2 more answers
What is the best approximation of the length of segment QR?
Anuta_ua [19.1K]

we are given

S=80

RS=2

we can use tangent formula

tan(S)=\frac{QR}{RS}

tan(80)=\frac{QR}{2}

now, we can find QR

QR=2*tan(80)

we will get

QR=11.34cm...........Answer

6 0
4 years ago
Read 2 more answers
What is an integer? ​
BartSMP [9]

Answer:

A integer is any number that is not either a decimal or a fraction (however, both 2.000 and 2/2 are integers because they can be simplified into non-decimal and non-fractional numbers), this includes negative numbers. A whole number is any positive number(0 through infinity) (including non-integers)

Step-by-step explanation:

it's basically a just any number but can't be a decimal or fraction

4 0
3 years ago
Read 2 more answers
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