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3 years ago

Add. (−x^3 + 26x^2 − 7x−13) + (6x^4 − x^3 + 8x+27) Express the answer in standard form. Enter your answer in the box.

Mathematics

1 answer:

mamaluj [8]3 years ago

5 0

$6 x^{4} -2 x^{3} +26 x^{2} +x+14$
hope this helps

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Sonya can walk 6 kilometers in 3 hours. If she has to walk 10 kilometers how much time will it take her?

kupik [55]

$6\ km\ in\ 3\ hours\\\\
10\ km\ in\ x\ hours\\\\
proportion:\\
6-3\\
10-x\\\\
cross\ multiplication\\\\
6x=3*10\\\\
6x=30\ \ \ | divide\ by\ 6\\\\
x=5\\\\ It\ will \ take\ 5\ hours.$

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3 years ago

The length of ZX is 2 units. What is the perimeter of triangle XYZ?

dezoksy [38]

Keywords

triangle,perimeter,distance, length, side, points

we know that

The perimeter of a triangle is the sum of the three length side

To find the length side calculate the distance between two points

The formula to calculate the distance between to points is equal to

$d=\sqrt{(y2-y1)^{2}+(x2-x1)^{2}}$

Step 1

Find the distance ZY

$Z(1,0)\\Y(3,1)$

substitute the values

$d=\sqrt{(1-0)^{2}+(3-1)^{2}}$

$dZY=\sqrt{5}\ units$

Step 2

Find the distance XY

$X(-1,4)\\Y(3,1)$

substitute the values

$d=\sqrt{(1-4)^{2}+(3+1)^{2}}$

$dXY=\sqrt{25}=5\ units$

Step 3

Find the perimeter of the triangle

$P=ZX+ZY+XY$

we have

$dZX=2\sqrt{5}\ units$

$dZY=\sqrt{5}\ units$

$dXY=5\ units$

Substitute

$P=(2\sqrt{5}+\sqrt{5}+5)\ units$

therefore

the answer is

$P=(3\sqrt{5}+5)\ units$

4 0

3 years ago

Read 2 more answers

Alma was shopping for a T-shirt at a store that advertised "15% off on everything in the store." The regular price of the T-shir

marshall27 [118]

Answer:

$13.60 is the correct sale price

Step-by-step explanation:

If a t-shirt is 15% off then you pay 85%. This means you will pay 0.85(16) = 13.60 is the correct sale price. $14 is not the correct price.

3 0

3 years ago

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Ancient Egyptians did not write the fraction 4/5 as 4/5. Instead they used unit fractions. The numerator of a unit fraction is a

Salsk061 [2.6K]

3/4 = 1/2 + 1/4

5/8 = 1/2 + 1/8

7/12 = 1/2 + 1/12

7 0

3 years ago

(3x + 5y = 7 { 4x - y = 5

dalvyx [7]

Answer:

Step-by-step explanation:

Solution by substitution method

3x+5y=7

and 4x-y=5

Suppose,

3x+5y=7→(1)

and 4x-y=5→(2)

Taking equation (2), we have

4x-y=5

⇒y=4x-5→(3)

Putting y=4x-5 in equation (1), we get

3x+5y=7

⇒3x+5(4x-5)=7

⇒3x+20x-25=7

⇒23x-25=7

⇒23x=7+25

⇒23x=32

⇒x=32/23

→(4)

Now, Putting x=32/23

in equation (3), we get

y=4x-5

⇒y=4(32/23)-5

⇒y=(128-115)/23

⇒y=13/23

∴y=13/23 and x=32/23

5 0

2 years ago