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3 years ago

Use the distributive property to factor the expression. 12xy + 28xz

Mathematics

2 answers:

Bingel [31]3 years ago

8 0

Answer:

4x(3y + 7z) = 12xy + 28xz

Step-by-step explanation:

Factoring is the decomposition of an expression into a product of factors, which when multiplied together give the original expression.

soldier1979 [14.2K]3 years ago

6 0

Answer:

The factored equation would be 4x(3y + 7z)

Step-by-step explanation:

In order to find this, look for the greatest common factor and pull it out. Since both have factors of 4 and both have an x, we pull those out. We then divide each term by 4x to get what is left over.

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Rewrite the absolute value function as a piecewise function.<br> a<br> f(x) = -3x +11 – 2<br> -

levacccp [35]

Y=-3x+9 that is the answer

8 0

3 years ago

A hemispherical dome of a building needs to be painted. If the circumference of the base of the

soldier1979 [14.2K]

Answer:

The cost of painting the hemispherical dome is 110880 unit

Step-by-step explanation:

Given as for a hemispherical dome :

The circumference of base = 17.6 m

The cost of painting it = 5 unit per 100 cm²

∵ circumference of base = circumference of circle = 2× $\pi$ ×radius

So ,17.6 m = 2× $\pi$ ×radius

Or, Radius = $\frac{17.6\times 7}{2\times 22}$

Or, Radius = $\frac{123.2}{44}$ = 2.8 m

Or, R = 280 cm

So, Total surface area of hemispherical dome = 3× $\pi$ ×radius²

or, Total surface area of hemispherical dome = 3× $\pi$ ×280²

Or, Total surface area of hemispherical dome = $\frac{3\times 22\times 280\times 280}{7}$

Or, Total surface area of hemispherical dome = $\frac{5174400}{7}$

∴ Total surface area of hemispherical dome = 739200 cm²

Now, The cost of painting 100 cm² is 15 unit

So, The cost of painting 739200 cm² = $\frac{15\times 739200}{100}$

Or, The cost of painting 739200 cm² = 110880 unit

Hence The cost of painting the hemispherical dome is 110880 unit Answer

7 0

3 years ago

A ten-inch candle is being burned at both ends. one end burns at the rate of one inch per hour; the other end, one-and-a-half in

Sergio [31]

First keep in mind that the center is 5 inches...let L and R be the left and right positions of the two flames...

L=h and R=10-1.5h where h is in hours....

The two flames meet when L=R so we can say:

h=10-1.5h add 1.5h to both sides

2.5h=10 divide both sides by 2.5

h=4

So the flames will meet in five hours, using either original equation we can find this position, I'll use L=h..

L=4

So the position of the flames is 4" from the end. The questions ask how far this point is from the center so:

5-4=1"

So the flames meet 1 inch from the center.

4 0

4 years ago

How many people travel more than 30 miles to work?<br> b)?

Makovka662 [10]

Answer:

Step-by-step explanation:

around 500 people travel more than just 30 miles to work, sum even travel across the states

3 0

3 years ago

The lines 2x=ky+2 and (k+1)x=6y-3 have same gradient. Find possible values of k

faust18 [17]

Answer:

k = 3 or k = -4

(Anyone can correct me if I'm wrong)

Step-by-step explanation:

$2x=ky+2\to\ eq1\\(k+1)x=6y-3\to\ eq2\\$Change to this form: $y=mx+c\\ky=2x-2\\y=\frac{2x-2}{k}\\$gradient of eq1: $\frac{2}{k}\\6y=(k+1)x+3\\y=\frac{(k+1)x+3}{6}\\y=\frac{k+1}{6} x+\frac{3}{6}\\y= \frac{k+1}{6} x+\frac{1}{2}\\$gradient of eq1: $\frac{k+1}{6}\\$Since gradient, m, is the same for both lines,$\\\frac{2}{k}=\frac{k+1}{6}\\12=k^{2}+k\\k^{2}+k-12=0\\(k-3)(k+4)=0\\k=3 $ or $ k=-4$

6 0

3 years ago