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3 years ago

A line with a slope of 4 passes through the point (2, 1). What is the equation of this line?

Mathematics

2 answers:

podryga [215]3 years ago

7 0

Answer:

y = 4x-7

Step-by-step explanation:

We have a slope and a point

m = 4 (2,1)

Using the slope intercept form of the equation

y = mx+b

y = 4x+b

From the point x=2 and y =1

1 = 4(2)+b

1 = 8+b

Subtract 8 from each side

1-8 =8-8+b

-7 = b

We can write the equation by using m=4 and b = -7

y = 4x-7

cluponka [151]3 years ago

6 0

Answer:

idk

Step-by-step explanation:

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The question is in the picture. it’s math.

klemol [59]

Answer:

Step-by-step explanation:

1). (8x - 49)° = (5x + 23)°

8x - 49 = 5x + 23

3x = 72

x = 24

2). m∠VST + m∠SVU = 180°

(5(24) + 23)° + m∠SVU = 180°

m∠SVU = 180° - 143°

m∠SVU = 37°

m∠SVT = 37° - 20° = 17°

5 0

3 years ago

Rationalize the denominator of $\frac{\sqrt{32}}{\sqrt{16}-\sqrt{2}}$. The answer can be written as $\frac{A\sqrt{B}+C}{D}$, whe

musickatia [10]

Rationalizing the denominator involves exploiting the well-known difference of squares formula,

$a^2-b^2=(a-b)(a+b)$

We have

$(\sqrt{16}-\sqrt2)(\sqrt{16}+\sqrt2)=(\sqrt{16})^2-(\sqrt2)^2=16-2=14$

so that

$\dfrac{\sqrt{32}}{\sqrt{16}-\sqrt2}=\dfrac{\sqrt{32}(\sqrt{16}+\sqrt2)}{14}$

Rewrite 16 and 32 as powers of 2, then simplify:

$\dfrac{\sqrt{32}}{\sqrt{16}-\sqrt2}=\dfrac{\sqrt{2^5}(\sqrt{2^4}+\sqrt2)}{14}$

$\dfrac{\sqrt{32}}{\sqrt{16}-\sqrt2}=\dfrac{2^2\sqrt2(2^2+\sqrt2)}{14}$

$\dfrac{\sqrt{32}}{\sqrt{16}-\sqrt2}=\dfrac{4\sqrt2(4+\sqrt2)}{14}$

$\dfrac{\sqrt{32}}{\sqrt{16}-\sqrt2}=\dfrac{16\sqrt2+4(\sqrt2)^2}{14}$

$\dfrac{\sqrt{32}}{\sqrt{16}-\sqrt2}=\dfrac{16\sqrt2+8}{14}$

$\dfrac{\sqrt{32}}{\sqrt{16}-\sqrt2}=\dfrac{8\sqrt2+4}7$

So we have A = 8, B = 2, C = 4, and D = 7, and thus A + B + C + D = 21.

3 0

3 years ago

5(3−x)>−2x+6 PLS ANSWER ASAP WILL GIVE BRAINLIEST

rusak2 [61]

Answer:

x<3

Step-by-step explanation:

5(3-x)>-2x+6

15-5x>-2x+6

-5x>-2x-9

-3x>-9

x<3

Hope this helps

8 0

3 years ago

Read 2 more answers

Write the ratio as a fraction in simplest form which whole numbers in the numerator and denominator 9 m : 27m

gulaghasi [49]

Answer:

1/3

Step-by-step explanation:

9/27 simplified is 1/3

6 0

3 years ago

The area of a rectangle is 2x*2-13x+12 and another area is 6x^2-13x+21, what is the combined area of both rectangles?

saul85 [17]

Answer:

8x^2 - 26x + 33

Step-by-step explanation:

Add the expressions.

2x^2 - 13x + 12 + 6x^2 - 13x + 21 =

= 2x^2 + 6x^2 - 13x - 13x + 12 + 21

= 8x^2 - 26x + 33

8 0

3 years ago