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Lilit [14]
3 years ago
7

Plz help i will mark you branlyest also plz answer both questions

Mathematics
1 answer:
Margaret [11]3 years ago
4 0

Answer:

D(1, -2)

E(3, -4)

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Solve |p + 2| = 10Solve |p + 2| = 10<br><br> {-12}<br> {-8, 8}<br> {-12, 8}
valentinak56 [21]

By definition, we have

|p+2| = \begin{cases} p+2 &\text{ if } p+2 \geq 0 \\-p-2 &\text{ if } p+2 < 0 \end{cases}

So, we have to solve two different equations, depending of the possible range for the variable. We have to remember about these ranges when we decide to accept or discard the solutions:

Suppose that p+2\geq 0 \iff p \geq -2

In this case, the absolute value doesn't do anything: the equation is

p+2 = 10 \iff p = 10-2 = 8

We are supposing p \geq -2, so we can accept this solution.

Now, suppose that p+2 < 0 \iff p < -2. Now the sign of the expression is flipped by the absolute value, and the equation becomes

-p-2 = 10 \iff -p = 12 \iff p = -12

Again, the solution is coherent with the assumption, so we can accept this value as well.

3 0
3 years ago
4.<br> -2(x+3y)= 18<br> Plz help me!!!
OLEGan [10]

Answer:

x+3y=-9

Step-by-step explanation:

-2(x+3y)=18

x+3y=18/-2

x+3y=-9

7 0
3 years ago
Read 2 more answers
MARK AS BRAINLIEST An artist has a block of clay in the shape of a cube. The edges of the cube measure 3 inches. The artist will
Xelga [282]

Answer:

22

Step-by-step explanation:

The volume of a cube is given as:

Cube volume = length × length × length

Since the edges of the cube measure 3 inches, this means that the length of the cube is 3 inches, therefore:

Cube volume = 3 inches × 3 inches × 3 inches = 27 in³

The pine tree is the shape of a cone with diameter of 1.5 inches and a height (h) of 2 inches. The radius (r) = diameter / 2 = 1.5 inches / 2 = 0.75 inches.

The volume of the cone = πr²(h/3) = π × (0.75)² × (2/3) = 1.178 in³

The number of pine trees that can be made = Volume of cube / Volume of cone = 27 / 1.178 = 22.9

The number of pine trees = 22

7 0
2 years ago
Alright Soldier I need help, Solve for Percent Error, Calculate the percent error if the experimental value of the density of go
Dima020 [189]

Answer:

Step-by-step explanation:

so the steps to doing this are as follows :

Subtract the accepted value from the experimental value.

Take the absolute value of step 1.

Divide that answer by the accepted value.

Multiply that answer by 100 and add the % symbol to express the answer as a percentage.

|18.7-19.3|/19.3 = 0.031088 * 100% = 3.1%

7 0
3 years ago
The circle passes through the point (4.5,0). What is its radius?
Andreyy89

Answer:

4.5 units

Step-by-step explanation:

In this case, if we draw the point on the xy cartesian plane, we know that the value of "x" is 4.5 and the value of "y" is 0.

Which means that when I draw this in any way, the maximum value it will take is 4.5 units, therefore the radius should not exceed this value, nor should it be less than 4.5 units since the circle would be distorted.

Which means that the radius is 4.5 units

4 0
3 years ago
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