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Misha Larkins [42]
4 years ago
5

Which equation is true?

Mathematics
1 answer:
almond37 [142]4 years ago
5 0
Hopefully this is clear! A= #1

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In this particular arithmetic sequence, a8 = 45 and a16 = 93. What is the value of a24?
zubka84 [21]
A24 = 141,

using equation,
an = a1 + (n-1)d,

a8 = a + 7d = 45
a16 = a + 15d = 93

solve simultaneously for values a and d, where a = 3, and d = 6.

therefore, inserting values into a24 eqn, where
a24 = 3 + (24-1)(6) = 141.
3 0
3 years ago
Help help help help help
sammy [17]

Answer:

  T<7, -3>

Step-by-step explanation:

You want to know all of the information necessary to describe the translation of ΔABC to ΔA'B'C', given C(-1, 4) and C'(6, 1).

<h3>Information</h3>

The information necessary to describe a translation is ...

  • how far
  • what direction

A quantity that has both magnitude and direction is called a vector quantity. As with most vectors, a translation vector can be described in different ways.

When the figures are drawn on a coordinate grid, the translation vector is conveniently described by an ordered pair: <units right, units up>. The number of units of translation to the right will be the difference of x-coordinates:

  Cx' -Cx = 6 -(-1) = 7 . . . . . the image is 7 units right of the preimage

The number of units of translation up will be the difference of y-coordinates:

  Cy' -Cy = 1 -4 = -3 . . . . . the image is 3 units down (-3 up) from the preimage

The translation vector can be written as ...

  <7, -3>

<h3>Transformation</h3>

There are several kinds of transformations that can be applied to geometric figures. In addition to the <em>amount</em> of translation, we must also know that the transformation <em>is a translation</em>. This is sometimes identified using a T as an indicator:

  T<7, -3> . . . . . represents a translation 7 units right and 3 units down

__

<em>Additional comment</em>

Other kinds of transformation include rotation, reflection, and dilation. Each of these requires different information, and is designated using different conventions. (Sometimes it can be difficult to tell the difference between rotation and reflection, depending on the notation used.)

4 0
2 years ago
Slope-intercept <br><br> X-intercept = 3 , y-intercept = 3
Mama L [17]

Answer:

y=-1x+3

Step-by-step explanation:

Slope intercept form: y=mx+b

x intercept (3,0)

y intercept (0,3)

slope= \frac{y2-y1}{x2-x1} = \frac{3-0}{0-3} =\frac{3}{-3} =-1

start subbing in numbers from one of the points. I'm using hte x intercept so it would be (0,3). m = slope

y=mx+b

3=-1*0+b

3=0+b

b=3

so now that you know what b and the slope is,

y= -1x+3

6 0
3 years ago
Please help me on this!
denis23 [38]

Answer:

The Proof is given below.

Step-by-step explanation:

Given:

P is the center of Circle

∠ONE ≅ ∠TEN

To Prove:

∠5 ≅ ∠6

Proof:

Exterior Angle Theorem:

Exterior Angle Property of a Triangle states that measure of exterior angle of a triangle is equals to the sum of measures of its interior opposite angles.

STATEMENT                                                   REASON

1. So In ΔONE,

\angle 5=\angle ONE+\angle 2     1. Exterior Angle Property of a Triangle.

2. Similarly In ΔTEN,

\angle 6=\angle TEN+\angle 1      2. Exterior Angle Property of a Triangle.

3. But , ∠ONE ≅ ∠TEN                                 3. Given

4. And P is the center of circle So

PN=PE                                             4.radius of same circle

5. ΔPEN is an Isosceles triangle,

∴ ∠ 1 ≅ ∠ 2                                                     5. Isosceles triangle property

6. ∴ ∠5 ≅ ∠6                                                  6. From 3 and 5 Transitive Property.........Proved

5 0
3 years ago
1. expand 4³
arlik [135]

Answer:

1. 64

2. 7

3. 1, 2, 4, 8, 16

4.

5. 36

6. 5

7. 13

4 0
3 years ago
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