The grap of y= x is shifted 5 units up and 4 units to the left. What is the equation of the translated function?

I’m confused and don’t have an angle tool to even try to do the question

yanalaym [24]

<h3>Answer: 40</h3>

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Explanation:

JQ is longer than QN. We can see this visually, but the rule for something like this is the segment from the vertex to the centroid is longer compared to the segment that spans from the centroid to the midpoint.

See the diagram below.

The ratio of these two lengths is 2:1, meaning that JQ is twice as long compared to QN. This is one property of the segments that form when we construct the centroid (recall that the centroid is the intersection of the medians)

We know that JN = 60

Let x = JQ and y = QN

The ratio of x to y is x/y and this is 2/1

x/y = 2/1

1*x = y*2

x = 2y

Now use the segment addition postulate

JQ + QN = JN

x + y = 60

2y + y = 60

3y = 60

y = 60/3

y = 20

QN = 20

JQ = 2*y = 2*QN = 2*20 = 40

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We have

JQ = 40 and QN = 20

We see that JQ is twice as larger as QN and that JQ + QN is equal to 60.

7 0

3 years ago

3. Mrs. Garcia's class sold bottles of lemonade for $1.36 each and Mr. Runner's class sold protein bars for $1.65 each. Together

podryga [215]

Answer:

324.6

Step-by-step explanation:

because Together, the classes sold 79 items and earned $118.17 for their school

7 0

3 years ago

Choose the statement that describes a way to solve the equation x + 2.5 = 8

scoray [572]

Answer:

subtract 2.5 on both sides

5 0

3 years ago

Use two unit multipliers to convert 628 kilometers to centimeters

irina [24]

Using two unit multiplier 628 km is equal to 62800000 cm

<u>Solution:</u>

628 kilometer to centimeter

We will go from kilometers to meters to centimeters.

Start by putting 628 km over 1:

$\frac{628 km}{1}$

We want to get rid of km and bring in m.

We know that 1000 m = 1 km.

Since km is in the numerator, we will make the first unit multiplier by putting 1 km in the denominator and 1000 m in the numerator, so the km will cancel. So we multiply by the unit multiplier,

$\frac{628 km}{1} \times \frac{1000m}{1km}$

Now the km's will cancel:

$\frac{628}{1} \times \frac{1000m}{1}$

Now we want to get rid of m and bring in cm.

We know that 100 cm = 1 m.

Since meter is in the numerator, we will make the first unit multiplier by putting 1 meter in the denominator and 100 cm in the numerator, so the meter's will cancel. So we multiply by the unit multiplier

$\frac{100cm}{1m}$