Idk what to do, can someone please help?

Slope=-3 goes through (1,2) whats the equation

dedylja [7]

Hi student, let me help you out! :)

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We are asked to find the equation of the line, using the given information:

$\star~\mathrm{-3}$ , which is the slope

$\star~\mathrm{(1,2)}$ which is a point that the line contains

$\triangle~\fbox{\bf{KEY:}}$

The slope is the number before x, in the form $\mathtt{y=mx+b}$ .

Since "m" is the slope, and we're given what the slope is, we can substitute -3 for m:

$\dag~\mathtt{y=-3x+b}$

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Now, we need to find the y intercept, "b", of the line.

Here's how it's done:

Remember the point that the line contains, (1,2)?

Well, its y-coordinate is 2; so what we do is substitute 2 for y:

$\dag~\mathtt{2=-3x+b}$

Also, its x-coordinate is 1, so we substitute 1 for x:

$\dag~\mathtt{2=-3(1)+b}$

Now, solve for b:

$\dag~\mathtt{2=-3+b}$

Add 3 to both sides:

$\dag~\mathtt{2+3=b}$

Thus, we have

$\dag~\mathtt{5=b}$

Thus, the equation of the line is:

$\bigstar\underline{\boxed{\mathtt{y=-3x+5}}}$

Hope it helps you out! :D

Ask in comments if any queries arise.

#StudyWithBrainly

~Just a smiley person helping fellow students :)

$\overline{\underline{~~~~~~~~~~~~~~~~~~~~~~~~~~}}$

3 0

2 years ago

Plz show work and solve quick please need help!!!!!

Simora [160]

Surface area is just the area of all these 4 triangles plus the rectangle.

First we can find the area of the rectangle.

$\sf A=lw$

Half of the length is 28 cm, so the full length must be 28 * 2 = 56 cm.

$\sf A=(56)(27)$

$\sf A=1512cm^2$

The base for the left and right triangles are 27. The heights would be the net length minus half the length of the rectangle:

$\sf 82.8-28=54.8\? cm$

Calculate the area:

$\sf A=\dfrac{1}{2}bh$

$\sf A=\dfrac{1}{2}(27)(54.8)$

$\sf A=739.8\?cm^2$

We have two of these triangles.

$\sf 739.8\times 2=1479.6\? cm^2$

Now do the other two pair of triangles. The bases for them are 28 + 28 = 56 cm. The heights would be the net width minus the width of the rectangle:

$\sf 81.2-27=54.2\?cm$

Now find the area:

$\sf A=\dfrac{1}{2}bh$

$\sf A=\dfrac{1}{2}(56)(54.2)$

$\sf A=1517.6\? cm^2$

We have two of these triangles.

$\sf 1517.6\times 2=3035.2\?cm^2$

Add all the areas together:

$\sf 1512+1479.6+3035.2=\boxed{\sf 6026.80\? cm^2}$

7 0

3 years ago

✓-32 imaginary numbers

Lynna [10]

Answer:

√-32 imaginary numbers

$\sqrt{ - 32} \\ = \sqrt{ - 1 \times 16 \times 2} \\ = \sqrt{ - 1} \times \sqrt{16} \times \sqrt{2} \\ =\boxed{ 4 \sqrt{2} i}$

<h3>4√2i is the right answer.</h3>

8 0

3 years ago

Can someone help me please. (TROLLS WILL BE REPORTED!!!)

denpristay [2]

Answer:

B.) 54π units²

Step-by-step explanation:

First, we need to find the height of the cone. We can do this using the Pythagreom Theorem.

a² + b² = c² <----- Pythagreom Theorem

3² + b² = 15² <----- Insert side lengths

9 + b² = 225 <----- Solve 3² and 15²

b² = 216 <----- Subtract 9 from both sides

b = 14.7 units <---- Take square root of 216

Now, we can use the surface area of a right cone equation to find the final answer.

r = 3 units

h = 14.7 units

SA = πr(r + √(h² + r²)) <----- Surface Area equation

SA = π(3)(3 + √(14.7² + 3²)) <----- Insert values

SA = π(3)(3 + √(216 + 9)) <----- Solve 14.7² and 3²

SA = π(3)(3 + √225) <----- Add 216 and 9

SA = π(3)(3 + 15) <----- Take square root of 225

SA = π(3)(18) <----- Add 3 and 15

SA = 54π units² <----- Multiply 3 and 18

3 0

2 years ago

A rectangular one story house covers an area of 3,700 square feet. The ceilings are 8 feet high. What is the volume of the inter

notsponge [240]

Answer:

43100 cubic feet

Step-by-step explanation:

Floor 1: 3700 * 8 = 29600

Floor 2: 50 * 30 * 9 = 13600

Total = 29600+13600=43100

8 0

3 years ago