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3 years ago

Which equation represents a line that passes through (2, –0.5) and has a slope of 3?

2 answers:

8 0

We know, principle equation of line: y= mx + b
Here, m = 3

Calculate the value of b:
-0.5 = 3*2 + b
b = -0.5-6
b = -6.5

Now, substitute their values into the expression:
y = 3x - 6.5

Hope this helps!

Kitty [74]3 years ago

4 0

A slope of 3 means the gradient is 3 so we get y=3x+c as derived from the linear formula. we then sub in x=2 and y=-0.5. this gives us c=-6.5.

The equation would be y=3x-6.5

I think this is right.

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Rectangle A is a scale drawing of Rectangle B and has 25% of its area. If rectangle A has side lengths of 4 cm and 5 cm , what a

SpyIntel [72]

Answer:

8 cm and 10 cm

Step-by-step explanation:

Hello, I can help you with this.

Step 1

According to the question there are two rectangles A and B,

Rectangle A is a scale drawing of Rectangle B and has 25% of its area

in other words

$Area_{A}=0.25*Area_{B} (Equation\ 1)\\$

Step 2

Let

Rectangle A

length (1)= 4 cm

length (2)= 5 cm

$Area_{A}=4\ cm * 5\ cm\\Area_{A}=20\ cm^{2}$

put this value into equation 1

$Area_{A}=0.25*Area_{B} (Equation\ 1)\\\\20\ cm^{2} =0.25*Area_{B} \\divide\ each\ side\ by\ 0.25\\\frac{20\ cm^{2} }{0.25}=\frac{0.25}{0.25}*Area_{B}\\ Area_{B}=80\ cm^{2}$

Now, we know the area of rectangle B, to know its length we need to formule other equation

Step 3

$Area_{B}=80\ cm^{2}\\length (1B)*length (2B)=80\ cm^{2} (equation\ 2)\\$

the ratio between the lengths must be constant, so the ratio of A must be equal to ratio in B, then

$\frac{length(1A)}{length(2A)}=\frac{length(1B)}{length(2B)} \\\\\\frac{4}{5}= \frac{length(1B)}{length(2B)}\\0.8=\frac{length(1B)}{length(2B)}\\length(1B)=0.8*length(2B) (Equation 3)$

Step three

using Eq 1 and Eq 2 find the lengths

put the value of length(1B) into equation (2)

$length (1B)*length (2B)=80\ cm^{2} (equation\ 2)\\\(0.8*length(2B)) (*length (2B)=80\ cm^{2} \\\\0.8*(length (2B))^{2} =80\ cm^{2}\\(length (2B))^{2} =\frac{80\ cm^{2}}{0.8} \\(length (2B))^{2}=100\\\sqrt{(length (2B))^{2}}=\sqrt{100\ cm^{2}} \\ length (2B)=10\ cm$

Now, put the value of length(2B) into equation 3 to know length (1B)

$length(1B)=0.8*length(2B)\\length(1B)=0.8*10\ cm\\length(1B)=8 cm$

I really hope this helps you, have a great day.

6 0

3 years ago

Which expressions are polynomials?

Oduvanchick [21]

Answer:

Step-by-step explanation:

Definition : The expression that can have constants (like 4), variables (like x or y) and exponents (like the 2 in $y^{2}$ ), that can be combined using addition, subtraction, multiplication and division, but no division by a variable and a variable's exponents can only be 0,1,2,3,... etc. and it can't have an infinite number of terms.

1. 6 + p

Being p be a variable this equation is polynomial

2. x – 1

Since x-1 has variable and constant so according to definition it is a polynomial

3. 8x−z3

According to definition it is a polynomial

4 . $5x^{2}-x\sqrt{}$

Since has root so it is not a polynomial .

6 0

3 years ago

Read 2 more answers

you have a credit card with an initial balance of $3,1168.00 an an interest rate of 12.75%APR. if you make no payments on the ca

malfutka [58]

Answer:

approximately $27K

Step-by-step explanation:

6 0

3 years ago

NEED HELP ASAPPP !! find the y-intercept of the line of the graph.

Anettt [7]

Answer:

the Y intercept is (0,-2)

Step-by-step explanation:

It is the point on the graph which the line goes through the Y axis

5 0

3 years ago

Work out the area of this shape. ? cm2 4 cm 9 cm 6 cm 12 cm Help!!!

mars1129 [50]

Answer:

84 cm^2

Step-by-step explanation:

Area of triangle + area of rectangle

Area of triangle = 1/2*l*b

= 1/2*8*3= 12 cm^2

Area of rectangle = l*b

= 12*6 = 72 cm^2

Total area= 72+12

= 84 cm^2

7 0

3 years ago