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Paladinen [302]
3 years ago
14

Please help me answer this.

Mathematics
1 answer:
Mariulka [41]3 years ago
5 0

Answer:

(a) 3

Step-by-step explanation:

Calculate the slope m of the line given using the gradient formula

m = ( y₂ - y₁ ) / ( x₂ - x₁ )

with (x₁, y₁ ) = (0,3) and (x₂, y₂ ) = (3, 2)

m = \frac{2-3}{3-0} = - \frac{1}{3}

given a line with slope m then the slope of a line perpendicular to it is

m_{perpendicular} = - \frac{1}{m} = - \frac{1}{-\frac{1}{3} } = 3 → (a)


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Help me out here please.
Vilka [71]

Answer:

just remove the parentheses and add the numbers

Step-by-step explanation:

5 0
3 years ago
Which value of x makes the following equation true? <br> 6(x - 1) = -2x + 50
lakkis [162]

Answer:

x=7

Step-by-step explanation:

Step 1: Simplify both sides of the equation.

6(x−1)=−2x+50

(6)(x)+(6)(−1)=−2x+50(Distribute)

6x+−6=−2x+50

6x−6=−2x+50

Step 2: Add 2x to both sides.

6x−6+2x=−2x+50+2x

8x−6=50

Step 3: Add 6 to both sides.

8x−6+6=50+6

8x=56

Step 4: Divide both sides by 8.

8x /8 = 56 /8

x=7

7 0
3 years ago
What is the perimeter of the figure in the diagram (round to three decimal places if necessary)?
Y_Kistochka [10]
Perimeter (p) = length around a shape.
So any horizontal sides we can add based upon their length in x-values and any vertical sides we can add based upon their length in y-values. The diagonal sides we can find by the distance formula:
d =  \sqrt{( {(x2 - x1)}^{2}  +  {(y2 - y1)}^{2} }
So the bottom base goes from x=1 to x=8, then up 1, right 1, and up from y=3 to y=9, then left from x=9 to x=6, down from y=9 to y=6, left from x=6 to x=3.
So far that is: (8-1)+1+1+(9-3)+(9-6)+(9-6)+(6-3)
= 7+2+6+3+3+3 = 24
Now for the diagonal:
d =  \sqrt{( {(x2 - x1)}^{2}  +  {(y2 - y1)}^{2}) }  \\  =  \sqrt{( {(3- 1)}^{2}  +  {(6 - 2)}^{2} )}  \\  =  \sqrt{( {2}^{2}  +  {4}^{2} )}  =  \sqrt{(4 + 16)} \\  =  \sqrt{20} = 2 \sqrt{5}  = 4.47
P = 24 + 4.47 = 28.47
D) 28.472

4 0
3 years ago
Read 2 more answers
Q3 make c the subject
Lorico [155]

Answer:

c=(ay-2)/m

Step-by-step explanation:

Isolate c

First I would multiply both sides by y

mc+2=ay

Then I would subtract 2

mc=ay-2

Then I can divide my m to get c alone

c=(ay-2)/m

5 0
3 years ago
Jenna is planning to reduce the size of her rectangular poster so that she can also make a card out of the rest of it.
Gwar [14]
What expression, in simplest form, shows the value of the new area of the poster?
10(17 - r) = (170 - 10r) square inches

What expression shows the value of the planned area of the card?
The planned area of the card is the difference between the initial area of poster and the new area of poster.
i.e. (10 x 17) - (170 - 10r) = 170 - 170 + 10r = 10r square inches.

4 0
3 years ago
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