Which of the points plotted below satisfy the equation in the box? <br><br>Check all that apply.

Line segment XY is a directed line segment beginning at point X(9, 2) and ending at point Y(-6, 2). Find the point Z on the line

lozanna [386]

Answer:

$(-\frac{3}{8},2)$

Step-by-step explanation:

Point Z divides XY into a 5:3 ratio, so Z is 5/3 of the way from X to Y. That ratio is k, found by writing the numerator of the ratio (5) over the sum of the numerator and the denominator (5 + 3 = 8). Our k value is 5/8. Now we will find the rise and run values which is the slope of this line segment:

$m=\frac{2-2}{-6-9} =\frac{0}{-15}$

Coordinates are found in this formula:

$Z(x,y)=(x_{1}+k(run),y_{1} +k(rise))$

Filling that in:

$Z(x,y)=(9+\frac{5}{8}(-15),2+\frac{5}{8}(0))$

which simplifies to

$Z(x,y)=(9-\frac{75}{8},2+0)$

which gives us the final coordinates of Z to be $Z(x,y)=(-\frac{3}{8},2)$

7 0

3 years ago

Write a real world problem for the following equation:<br> 80-3x=53

Afina-wow [57]

Answer:

x=9

Step-by-step explanation:

Step 1: Simplify by both sides of the equation.

80-3x=53

80+-3x=53

-3x+80=53

Step 2: Subtract 80 from both sides.

-3x+80-80=53-80

-3x=-27

Step 3: Divide by both sides by 3.

-3x/-3 = -27/-3

x=9

4 0

3 years ago

Gemma and Leah are both jewelry makers. Gemma made 106 beaded necklaces. Leah made 39 more necklaces than Gemma.

timofeeve [1]

Answer:

Gemma made $34 more than Leah.

Step-by-step explanation:

Gemma made number of beaded necklaces = 106

Leah made 39 more necklaces than Gemma.

Leah made number of beaded necklaces = 106 + 39 = 145

a. There are 104 beads on each necklace.

The total number of beads used altogether

= (106 × 104) + (145 × 104)

= 11,024 + 15,080

= 26,104

b. Gemma sold her 106 necklaces for = $14

Total price of her necklaces = 106 × 14

= $1,484

Leah sold her 145 necklaces for = $10

Total price of her necklaces = 145 × 10

= $1,450

Difference in Gemma and Leah's amount = 1484 - 1450 = $34.00

Therefore, Gemma made $34.00 more money than Leah.

6 0

3 years ago

What is the value of the underligned digit in 5436788

LenKa [72]

Which is the underlined digit?

6 0

3 years ago

How do you solve 418.6 divided by 80.5 using long division

nataly862011 [7]

You would write the 80.5 on the outside 418.6 on the inside. You can't divide by a decimal so you have to move the decimal point as many times as you need to on the outside number. You only have to move it over once in the80.5 so it is now 805. You do the same thing to the inside so it it is 4186. You are now dividing 4186 by 805. The answer is 5.2

3 0

3 years ago

Which of the points plotted below satisfy the equation in the box? Check all that apply.