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3 years ago

What is the slope of the line passing through the points

Mathematics

1 answer:

Bingel [31]3 years ago

6 0

Hello!

Answer:

$\boxed{2}$

Step-by-step explanation:

$Slope=\frac{Y_2-Y_1}{X_2-X_1}=\frac{RISE}{RUN}$

$\frac{1-(-5)}{4-1}=\frac{6}{3}=2$

Therefore, the slope is 2, which is our final answer.

Hope this helps!

Have a nice day! :)

Thank you!

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Which of the following numbers would be farthest to the right on a number line?

Ket [755]

16.772 should be the farthest right.

3 0

3 years ago

By estimating the line of best fit which value is the best estimate for how many cars will be sold tomorrow

Tasya [4]

Answer: 30

Step-by-step explanation: when you look at the x value of 9, the y value on the best fit line would be 30

7 0

3 years ago

Read 2 more answers

Solve the system of equations. \begin{aligned} & -5x+13y = -7 \\\\ & 5x+4y=24 \end{aligned} −5x+13y=−7 5x+4y=24 x= e

riadik2000 [5.3K]

Answer:

The solution of the given equations

x =4 , y = 1

Step-by-step explanation:

Explanation:-

Step(l):-

Given the system of equations -5x+13y = -7 ..(l)

5x+4y=24 ..(ll)

Step(ll)

Adding (l) and (ll) equations and cancelling '5x' terms we get

13y+4y = -7 +24

17y = 17

dividing '17' on both sides, we get

y=1

Step(lll):-

Substitute y=1 in equation (l) , we get

-5x+13y = -7

-5x + 13(1) = -7

subtracting '13' on both sides, we get

-5x +13 -13= -7 -13

-5x = -20

Dividing '-5' on both sides, we get

$x = \frac{-20}{-5}$

x = 4

Conclusion:-

The solution of the given equations

x =4 , y = 1

7 0

3 years ago

BRAINLIEST VOLUME OF A SPHERE

Rina8888 [55]

Answer:

$\displaystyle V = 972 \pi \ ft^3$

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets
Parenthesis
Exponents
Multiplication
Division
Addition
Subtraction

Left to Right

Geometry

Volume of a Sphere Formula: $\displaystyle V = \frac{4}{3} \pi r^3$

V is volume
r is radius

Step-by-step explanation:

Step 1: Define

Radius r = 9 ft

Step 2: Solve for V

Substitute in r [Volume of a Sphere Formula]: $\displaystyle V = \frac{4}{3} \pi (9 \ ft)^3$
[Volume] Evaluate exponents: $\displaystyle V = \frac{4}{3} \pi (729 \ ft^3)$
[Volume] Multiply: $\displaystyle V = 972 \pi \ ft^3$

4 0

2 years ago

Find the flux of F=(x^5+y^5+z^5-2x-3y-4z)i+sin(2y)j+4zsin^2(y)k across the surface of the tetrahedron bounded by the coordinate

Tju [1.3M]

Use the divergence theorem.

$\mathbf F(x,y,z)=(x^5+y^5+z^5-2x-3y-4z)\,\mathbf i+\sin2y\,\mathbf j+4z\sin^2y\,\mathbf k$
$\implies(\nabla\cdot\mathbf F)(x,y,z)=\dfrac{\partial(x^5+y^5+z^5-2x-3y-4z)}{\partial x}+\dfrac{\partial(\sin2y)}{\partial y}+\dfrac{\partial(4z\sin^2y)}{\partial z}=5x^4-2+2\cos2y+4\sin^2y$

The flux of $\mathbf F$ across the tetrahedron's surface $S$ is then given by the integral of $\nabla\cdot\mathbf F$ over the interior of the tetrahedron $\mathbf R$ .

$\displaystyle\iint_S\mathbf F\cdot\mathrm dS=\iiint_T\nabla\cdot\mathbf F\,\mathrm dV$
$=\displaystyle\int_{x=0}^{x=1}\int_{y=0}^{y=1-x}\int_{z=0}^{z=1-x-y}(5x^4-2+2\cos2y+4\sin^2y)\,\mathrm dz\,\mathrm dy\,\mathrm dx$
$=\dfrac1{42}$

4 0

3 years ago