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2 years ago

Help please 4(2x-1)+3=8x+1

Mathematics

1 answer:

Gemiola [76]2 years ago

7 0

<h3>hello!</h3>

Use the distributive property:-

4(2x-1)

8x-4

8x-4+3=8x+1

8x-8x-4+3=1

8x-8x-1=1

0-1=1

-1=1

Wait, what? -1 is equal to 1?

Hence, the equation has no solutions.

Hope it helps :)

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At the grocery store, almonds are on sale for $3.78 per pound. What is the price of 4.5 pounds?

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Answer:

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Step-by-step explanation:

To find the the price, you must find price per pound x how many pounds you will be priced for

price per pound x how many pounds you will be priced for

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Q.2

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Answer:

Q2. (16,8)

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Q4. Ratio=2:1

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Step-by-step explanation:

Q2. Let (2a,a) be the coordinates of P.

Since P is equidistant from Q (2,-5) and R (-3, 6), we have

$|PQ|=|PR|$

This gives us:

$\sqrt{(2a-2)^2+(a+5)^2}=\sqrt{(2a+3)^2+(6-a)^2}$

$\implies (2a-2)^2+(a+5)^2=(2a+3)^2+(6-a)^2$

Expand:

$4a^2-8a+4+a^2+10a+25=4a^2+12a+9+a^2 -12a+36$

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The coordinates of P are $(16,8)$

Q.3 The equation of the line segment joining the points

A (5.-6) and B (-1,-4) is $x+3y=-13$ .

The x-coordinate of the point that divides AB in the ratio m:n is

$x=\frac{mx_2+nx_1}{m+n}$

The y-axis meets this line at $(0,-\frac{13}{3})$

We substitute $x_2=-1,x_1=5,x=0$ into this equation and solve for m and n.

$0=\frac{-m+5n}{m+n}$

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$\frac{m}{n}=\frac{5}{1}$

Therefore the ratio is m:n=5:1

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The point (-3, k) must satisfy this line because it lies on it.

$-7(-3)+3k=23$ .

$\implies k=\frac{2}{3}$

We again use the equation $x=\frac{mx_2+nx_1}{m+n}$ to find the given ratio.

Substitute: $x_2=-2,x_1=-5$

$4=\frac{-2m+-5n}{m+n}$

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We substitute (4,m) to get:

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