All categories

3 years ago

1. Match the letter of the centre to the lines that define it.

Mathematics

1 answer:

denis-greek [22]3 years ago

3 0

Answer:

A. (Orthocenter) → Altitude

B. (Incenter) → Angle bisector

C. (Centroid) → Median

D. (Circumcenter) → Perpendicular bisector

Step-by-step explanation:

A. The orthocenter is the point of concurrency of the three altitudes of a triangle, therefore, the matching line with the letter A is altitude

B. The incenter is the point of concurrency of the bisectors of three interior angles of a triangle, therefore, the matching line with the letter B is angle bisector

C. The centroid is the point of concurrency of the three medians of the triangle, therefore, the matching line to the letter C is median

D. The circumcenter is the point of concurrency of the three perpendicular bisectors of the three sides of a triangle, therefore, the matching line to the letter D (which corresponds with the circumcenter) is perpendicular bisector.

You might be interested in

Use the graph for problems 14 and 15

Charra [1.4K]

9514 1404 393

Answer:

14. C

15. C

Step-by-step explanation:

14. The function is entirely in quadrants I and II, so the leading coefficient is positive. This eliminates choices A and B.

The horizontal asymptote is 0, not -1, eliminating choice D.

The curve is best described by the equation of choice C.

15. The domain and range of an unadulterated exponential function are ...

domain: all real numbers; range: y > 0 . . . . matches choice C

3 0

3 years ago

I need to find function of b and 2b please

Len [333]

Attached the solution with work shown.

6 0

3 years ago

Gretchen is using an overhead projector to enlarge a drawing so she can make a poster. The original drawing measures 60 mm wide

inn [45]

The height should be C.) 400 mm. Hope this helps!! <3

4 0

3 years ago

What is the rectangular form of z= 40(cos(7pi/6)+ i sin(7pi/6))

Anastaziya [24]

Answer:

C. $z = -20\sqrt{3}-i\,20$

Step-by-step explanation:

The rectangular form of a complex number is represented by the following formula:

$z = a+i\,b$ (1)

Where each coefficient can be determined as function of the polar components:

$a = r\cdot \cos \theta$ (2)

$b = r\cdot \sin \theta$ (3)

Where:

$r$ - Magnitude of the complex number, dimensionless.

$\theta$ - Direction of the complex number, measured in radians.

If we know that $r = 40$ and $\theta = \frac{7\pi}{6}$ , then the rectangular form of the number is:

$a = 40\cdot \cos \frac{7\pi}{6}$

$a = -20\sqrt{3}$

$b = 40\cdot \sin \frac{7\pi}{6}$

$b = -20$

The rectangular form of $z=40\cdot\left(\cos \frac{7\pi}{6}+i\,\sin \frac{7\pi}{6}\right)$ is $z = -20\sqrt{3}-i\,20$ . The correct answer is C.

4 0

2 years ago

Write the following equation in standard form: 8/7x^3+x^4+6x+1

just olya [345]

87x−34y=7287x-34y=72To write a linear equation in standard form, move each variable term to the left side of the equation and simplify.

Ax+By=CAx+By=CSimplify each term.

Tap for more steps...8x7−3y4=72

5 0

3 years ago

Read 2 more answers