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amm1812
3 years ago
6

Find the y value for the point that divides the line segment CD into a ratio of 4:1.

Mathematics
1 answer:
7nadin3 [17]3 years ago
3 0

Answer:

We also drew a graph with 2 examples.

Step-by-step explanation:

If we have the line segment  CD, we can divide it by 4: 1 as follows:

If point C has the coordinates (x1, z1) and point D has the coordinates (x2, z2), we calculate coordinate the points Y as follows:

y1 = (x2-x1) · 4/5

y2 = (z2-z1) · 4/5

In this way we have obtained the point Y with the coordinates (y1, y2), and the point Y divides the line segment  CD by 4:1.

We also drew a graph with 2 examples.

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What is the sum of the first 75 even numbers starting with 2? Enter your answer in the box.
vova2212 [387]

Answer:

5700

Step-by-step explanation:

step 1 Address the formula, input parameters & values.

Input parameters & values:

The number series 2, 4, 6, 8, 10, 12, .  .  .  .  , 150.

The first term a = 2

The common difference d = 2

Total number of terms n = 75

step 2 apply the input parameter values in the AP formula

Sum = n/2 x (a + Tn)

= 75/2 x (2 + 150)

= (75 x 152)/ 2

= 11400/2

2 + 4 + 6 + 8 + 10 + 12 + .  .  .  .   + 150 = 5700

Therefore, 5700 is the sum of first 75 even numbers.

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3 years ago
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Answer:

Step-by-step explanation:

105.5x100/120=87.91so 100-88 = 22%

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Justin picked out 300300300 dollars worth of clothing (regularly priced) at Mary's Department Store. As part of a promotion, he
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Aria paid $75,000 for her house. Its property value increased by 2.2% per year. When Aria sold her house after eleven years, how
astra-53 [7]

Answer:

When Aria sold her house after eleven years it worth was <u>$95,300</u>.

Step-by-step explanation:

Given:

Aria paid $75,000 for her house. Its property value increased by 2.2% per year.

Now, to find the worth of Aria house when sold after eleven years.

Let the amount of house after eleven years be x.

Amount Aria paid for her house (A) = $75,000.

Rate of property increased per year (r) = 2.2%.

Time (t) = 11 years.

Now, to get the amount of house after eleven years we put formula:

x=A\times (1+\frac{r}{100})^{11}

x=75000\times (1+\frac{2.2}{100})^{11}

x=75000\times (1+0.022)^{11}

x=75000\times (1.022)^{11}

x=75000\times 1.2704

x=95280.

<em>The amount of house after eleven years to the nearest hundred dollars is $95,300.</em>

Therefore, when Aria sold her house after eleven years it worth was $95,300.

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3 years ago
Factor x^2+8x+15<br> Show work with attachment
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Answer:

heres how to solve it

Step-by-step explanation:

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