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3 years ago

Solve step by step -18=2(-q+4)

Mathematics

1 answer:

Mila [183]3 years ago

6 0

Answer:

q=13

Step-by-step explanation:

First, you can multiply to distribute 2 over -9 and 4.

-18=2(-q+4)

-18=-2q+8

Then, you can subtract 8 from both sides.

-18=-2q+8

-26=-2q

Finally, you can divide -2 on both sides.

13=q

Now, you can check by plugging in 13 for the value of q in the original equation.

-18=2(-(13)+4)

-18=2(-13+4)

-18=2(-9)

-18=-18

Hope this helps you! :)

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A business assistant must leave more than $50 in the supply account. There is $200 in the account. The assistant needs to order

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Answer:

14 Boxes Of Pens

Step-by-step explanation:

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2 years ago

Dilate the the triangle, scale factor = 3 (positive 3, ignore the

HACTEHA [7]

Answer:

The rule of dilation is $P'(x,y) = 3\cdot P(x,y)$ .

The vertices of the dilated triangle are $A'(x,y) = (-21, -18)$ , $B'(x,y) = (-15,-10)$ and $C'(x,y) = (-3,-15)$ , respectively.

Step-by-step explanation:

From Linear Algebra, we define the dilation by the following definition:

$P'(x,y) = O(x,y) + k\cdot[P(x,y)-O(x,y)]$ (1)

Where:

$O(x,y)$ - Center of dilation, dimensionless.

$k$ - Scale factor, dimensionless.

$P(x,y)$ - Original point, dimensionless.

$P'(x,y)$ - Dilated point, dimensionless.

If we know that $O(x,y) = (0,0)$ , $k = 3$ , $A(x,y) = (-7,-6)$ , $B(x,y) = (-5,-2)$ and $C(x,y) =(-1,-5)$ , then dilated points of triangle ABC are, respectively:

$A'(x,y) = O(x,y) + k\cdot [A(x,y)-O(x,y)]$ (2)

$A'(x,y) = (0,0) + 3\cdot [(-7,-6)-(0,0)]$

$A'(x,y) = (-21, -18)$

$B'(x,y) = O(x,y) + k\cdot [B(x,y)-O(x,y)]$ (3)

$B'(x,y) = (0,0) + 3\cdot [(-5,-2)-(0,0)]$

$B'(x,y) = (-15,-10)$

$C'(x,y) = O(x,y) + k\cdot [C(x,y)-O(x,y)]$ (4)

$C'(x,y) = (0,0) +3\cdot [(-1,-5)-(0,0)]$

$C'(x,y) = (-3,-15)$

The rule of dilation is:

$P'(x,y) = 3\cdot P(x,y)$ (5)

The vertices of the dilated triangle are $A'(x,y) = (-21, -18)$ , $B'(x,y) = (-15,-10)$ and $C'(x,y) = (-3,-15)$ , respectively.

7 0

3 years ago

The values of several terms in a sequence are shown in the table.

const2013 [10]

Answer:

1.5

Step-by-step explanation:

You divide and stuff. Then you subtract 3.5 from 5 to get 1.5 and bam answer.

5 0

3 years ago

Esther cut a square paper vertically to make two rectangle pieces. Each rectangle had a perimeter of 63 inches.

Studentka2010 [4]

Answer:

Side of the square paper = 21 inches

Step-by-step explanation:

Let the square paper is having measure of each side = a inches

Esther cut this square piece into two pieces.

Let the other side of one rectangle piece = x inches

Perimeter of this piece = 2(a + x) inches

Similarly dimensions of the other rectangular piece will be = a inches × (a - x) inches

Perimeter of this piece = 2[a + (a - x)]

Since both the rectangular pieces have the same perimeter = 63

So, 2(a + x) = 2[a + (a - x)] = 63

2(a + x) = 2(2x - x)

a + x = 2a - x

2a - a = 2x

a = 2x

x = $\frac{a}{2}$

Therefore, Perimeter = 2(a + x) = 2(a + $\frac{a}{2}$ ) = 63

$2\times \frac{3a}{2}$ = 63

3a = 63

a = 21

Therefore, measure of the sides of the square is 21 inches.

5 0

3 years ago

The first equation in a system is 5x+2y=-4. Which equation gives a system with no solution.

abruzzese [7]

Answer:

= 0.8 + -0.4y

Step-by-step explanation:

Simplifying

5x + 2y = 4

Solving

5x + 2y = 4

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '-2y' to each side of the equation.

5x + 2y + -2y = 4 + -2y

Combine like terms: 2y + -2y = 0

5x + 0 = 4 + -2y

5x = 4 + -2y

Divide each side by '5'.

x = 0.8 + -0.4y

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3 years ago