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dsp73
3 years ago
12

Question 1(Multiple Choice Worth 5 points)

Mathematics
2 answers:
Crank3 years ago
5 0
C: step 3

He didn't divide by -7, he divided by regular 7.
Crazy boy [7]3 years ago
4 0

Answer with Step-by-step explanation:

We have to find the mistake in the solution of Jordan in solving the following equation:

    −7x + 25 = 48

Step 1:  Subtracting by 25 on both sides

−7x + 25 − 25 = 48 − 25

Step 2:  On solving, we get

−7x = 23

Step 3: negative seven times x over seven = twenty-three over seven

\dfrac{-7x}{7}=\dfrac{23}{7}  

Step 4:

-x=\dfrac{23}{7}  

Hence, Correct option is:

C: Step 3: He should have divided both sides by −7.

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write the equation of the ellipse using the given information: the ellipse has foci (0,3) and (0,-3) and major vertices (0,5) an
svetlana [45]

Answer: (x^2)/16 + (y^2)/25 = 1

Step-by-step explanation:

According to the problem we can figure out that the center of the ellipse is (0,0).

Since the foci is (0,3) and (0,-3) we know that the value of c is 3. The major vertices are (0,5) and (0,-5) so the value of a is 5.

If we put this into the equation a^2=b^2 + c^2, we get 25=9+ b^2

We get b^2 is 16

Now since we know that the ellipse is vertical because the x value didn’t change, we know that the b^2 value comes first in the equation. Then the a^2 value which is 25.

5 0
2 years ago
Let R = [ 0 , 1 ] × [ 0 , 1 ] R=[0,1]×[0,1]. Find the volume of the region above R R and below the plane which passes through th
Bond [772]

The three vectors \langle0,0,1\rangle, \langle1,0,8\rangle, and \langle0,1,9\rangle each terminate on the plane. We can get two vectors that lie on the plane itself (or rather, point in the same direction as vectors that do lie on the plane) by taking the vector difference of any two of these. For instance,

\langle1,0,8\rangle-\langle0,0,1\rangle=\langle1,0,7\rangle

\langle0,1,9\rangle-\langle0,0,1\rangle=\langle0,1,8\rangle

Then the cross product of these two results is normal to the plane:

\langle1,0,7\rangle\times\langle0,1,8\rangle=\langle-7,-8,1\rangle

Let (x,y,z) be a point on the plane. Then the vector connecting (x,y,z) to a known point on the plane, say (0, 0, 1), is orthogonal to the normal vector above, so that

\langle-7,-8,1\rangle\cdot(\langle x,y,z\rangle-\langle0,0,1\rangle)=0

which reduces to the equation of the plane,

-7x-8y+z-1=0\implies z=7x+8y+1

Let z=f(x,y). Then the volume of the region above R and below the plane is

\displaystyle\int_0^1\int_0^1(7x+8y+1)\,\mathrm dx\,\mathrm dy=\boxed{\frac{17}2}

6 0
3 years ago
Is -4 rational or irrational
Hoochie [10]

It’s a Rational number

8 0
3 years ago
What is the interior angles cut by transversal t.​
gregori [183]

Answer:

When two lines are cut by a transversal, the pairs of angles on either side of the transversal and inside the two lines are called the alternate interior angles . If two parallel lines are cut by a transversal, then the alternate interior angles formed are congruent

5 0
2 years ago
A cube measures 3.0 CM on each side and has a mass of 25g. What is the density?
Oxana [17]

Answer:

D ≈ 0.925926 g/cm³

Step-by-step explanation:

Density = Mass / Volume

Step 1: Define

M = 25 g

V = (3 cm)³ = 27 cm³

D = ?

Step 2: Substitute and Evaluate for Density

D = 25g / 27 cm³

D = 25/27 g/cm³

D ≈ 0.925926 g/cm³

8 0
3 years ago
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