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3 years ago

The first equation in the following system gives the

Mathematics

2 answers:

irina [24]3 years ago

7 0

Answer:

option 2: (-1,170, -23,400) and (170, 3,400)

Step-by-step explanation:

correct answer for e2020

stepladder [879]3 years ago

3 0

Answer:

B. (-1,170, -23,400) and (170, 3,400)

Step-by-step explanation:

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The coordinates of the point J are (-1,3) and the coordinates of point K are

Sphinxa [80]

Answer:

1 Step-by-step explanation:

7 0

3 years ago

The perpendicular bisector of side ab of ∆abc intersects the extension of side ac at

Triss [41]

Answer:

$\angle ABC=23^{\circ}$

Step-by-step explanation:

Given information: The perpendicular bisector of side AB of ∆ABC intersects the extension of side AC at D, m∠CBD = 16° and m∠ACB = 118°.

Let the measure of ∠ABC is x°.

$\angle ABD=\angle ABC+\angle CBD$

$\angle ABD=x+16$

In triangle ABD, DM is perpendicular bisector of AB.

In triangle ADM and BDM,

$AM\cong BM$ (Definition of perpendicular bisector)

$\angle AMD\cong \angle BMD$ (Definition of perpendicular bisector)

$DM\cong DM$ (Reflection property)

By SAS postulate,

$\triangle ADM\cong \triangle BDM$

$\angle MAD\cong \triangle MBD$ (CPCTC)

$\angle MAD=x+16$

$\angle BAC=x+16$

According to angle sum property of a triangle, the sum of interior angles of triangle is 180°.

In triangle ABC

$\angle ABC+\angle ACB+\angle BAC=180$

$x+118+(x+16)=180$

$2x+134=180$

Subtract 134 from both sides.

$2x=180-134$

$2x=46$

Divide both sides by 2.

$x=\frac{46}{2}$

$x=23}$

Therefore, the measure of ∠ABC is 23°.

6 0

3 years ago

I'm thinking of a number. When you:

Pavlova-9 [17]

Is the answer to it 7

5 0

4 years ago

Read 2 more answers

Find the area of area of a rectangle with with sides 8 + 2x and 3+ x.

netineya [11]

Answer:

Area = 2x^2 + 14x + 24

Step-by-step explanation:

You could set up an expression (2x + 8) * (x + 3), where you multiply 2x by x, 2x by 3, 8 by x, 8 by 3, and then add them all up. 2x * x = 2x^2, 2x * 3 = 6x, 8 * x = 8x, and 8 * 3 = 24. 2x^2 + 6x + 8x + 24 = 2x^2 + 14x + 24, so that is your answer.

3 0

3 years ago

Which expression is equivalent to (x^4/3 x^2/3)^1/3

Strike441 [17]

Answer:

We conclude that:

$\left(\:\:\frac{x^4}{\frac{3x^2}{3}}\right)^{\frac{1}{3}}\:=\:x^{\frac{2}{3}}$

Hence, option A i.e. $x^{\frac{2}{3}}$ is true.

Step-by-step explanation:

Given the expression

$\left(\:\:\frac{x^4}{\frac{3x^2}{3}}\right)^{\frac{1}{3}}$

Apply exponent rule: $\left(\frac{a}{b}\right)^c=\frac{a^c}{b^c}$

$\left(\frac{x^4}{\frac{3x^2}{3}}\right)^{\frac{1}{3}}=\frac{\left(x^4\right)^{\frac{1}{3}}}{\left(\frac{3x^2}{3}\right)^{\frac{1}{3}}}$

$=\frac{x^{\frac{4}{3}}}{\left(\frac{3x^2}{3}\right)^{\frac{1}{3}}}$ ∵ $\:\:\:\left(x^4\right)^{\frac{1}{3}}=x^{\frac{4}{3}}$

$=\frac{x^{\frac{4}{3}}}{\frac{\left(3x^2\right)^{\frac{1}{3}}}{3^{\frac{1}{3}}}}$

$=\frac{x^{\frac{4}{3}}}{x^{\frac{2}{3}}}$

Apply exponent rule: $\frac{x^a}{x^b}=x^{a-b}$

$=x^{\frac{4}{3}-\frac{2}{3}}$

$=x^{\frac{2}{3}}\\$

Therefore, we conclude that:

$\left(\:\:\frac{x^4}{\frac{3x^2}{3}}\right)^{\frac{1}{3}}\:=\:x^{\frac{2}{3}}$

Hence, option A i.e. $x^{\frac{2}{3}}$ is true.

5 0

3 years ago