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3 years ago

I NEED HELP WITH THIS PROBLEM!!!!

Mathematics

1 answer:

Diano4ka-milaya [45]3 years ago

6 0

Answer:

Step-by-step explanation:

The first equation is for when t = 8.

The second equation is for when t = 10.

The third equation is for all other values of t.

For t = 2, we use the third equation.

f(t) = t² − 3t + 2

f(2) = 2² − 3(2) + 2

f(2) = 4 − 6 + 2

f(2) = 0

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How many times does the graph of the function below intersect touch the x-axis? y= -3x^2 + x + 4

inessss [21]

Answer:

2 times

Step-by-step explanation:

Well let's first graph the quadratic equation,

Look at the image below ↓

By looking at the image below we can tell that the graph touches the x axis 2 times at,

(-1,0)

(1 1/3,0)

Thus,

the parabola touches the x axis twice.

Hope this helps :)

6 0

3 years ago

In the figure, and bisect each other. Complete the statements to prove that quadrilateral ABCD is a parallelogram.

Alisiya [41]

Observe the figure below.

Statement Reason

1. AC and BD bisect each other Given

2. AE = EC and BE = ED Definition of bisection

3. $m \angle AEB = m \angle CED$ Vertical angle theorem

Vertical angle theorem states " When two lines intersect each other, the vertically opposite angles are always equal".

4. $\Delta ABE \cong \Delta CDE$ SAS criterion for congruence

5. $m \angle ACD = m \angle CAB$ Corresponding angles of congruent triangles are congruent

6. $AB \parallel CD$ Converse of alternate interior angle theorem

7. $m \angle BEC = m \angle AED$ Vertical angle theorem

8. $\Delta BEC \cong \Delta DEA$ SAS criterion for congruence

9. $BC \parallel AD$ Converse of alternate interior angle theorem

As, $\Delta BEC \cong \Delta DEA$ , so $m \angle CBD = m \angle BDA$ as corresponding parts of corresponding triangles are equal. As these angles are alternate interior angles, so the lines BC and AD are parallel by "Converse of alternate interior angle theorem".

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3 years ago

Write an equivalent expression for each question

Mandarinka [93]

Answer:

A. 16 - 4 x = 4(4 - x)

B. 4 x + 8 = 4( x + 2)

C. -8 b - 24 = -8(b + 3)

D. 54 + 9 x = 9 (x + 6)

Step-by-step explanation:

Here, the given expressions are:

A. 16 - 4 x

Now, 16 and 4 have 4 as their COMMON FACTOR.

⇒Taking out 4 as the factor, we get: 16 - 4 x = 4 ( 4 - x)

Hence, the equivalent expression of 16 - 4 x = 4 ( 4 - x)

B. 4x + 8

Now, 4 and 8 have 4 as their COMMON FACTOR.

⇒Taking out 4 as the factor, we get: 4 x + 8 = 4 ( x + 2)

Hence, the equivalent expression of 4 x + 8 = 4 ( x + 2)

C. -8b - 24

Now, -8 and -24 have (-8) as their COMMON FACTOR.

⇒Taking out (-8) as the factor, we get: -8b - 24 = (-8) ( b+ 3)

Hence, the equivalent expression of -8b - 24 = (-8) ( b+ 3)

D. 54 + 9x

Now, 54 and 9 have (9) as their COMMON FACTOR.

⇒Taking out (9) as the factor, we get: 54 + 9 x = 9( 6 + x)

Hence, the equivalent expression of 54 + 9 x = 9( 6 + x)

4 0

3 years ago

Henry spends $50.00 on lunch, $12.00 on a cap and spends $6.00 on bananas. Hicks spend $120.00 on clothes and $15 on a cap. Henr

velikii [3]

Answer: his lunch will cost him 45 dollar

Step-by-step explanation:

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3 years ago

Which statement regarding the diagram is true? m∠WXY = m∠YXZ m∠WXY < m∠YZX m∠WXY + m∠YXZ = 180° m∠WXY + m∠XYZ = 180°

elena55 [62]

In the given question, the options are related to linear pair .

And according to linear pair, if a line cuts another line at a point, then the sum of the adjacent angles formed at that point is 180 degree.

Therefore, from the given diagram we can say that, angles WXY and YXZ are linear pair, so there sum have to be 180.

$\angle WXY + \angle YXZ =180$

And the correct option is the third option .

5 0

3 years ago

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