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____ [38]
3 years ago
13

11. Sarah claims that (x - 4) is a factor of p(x) = x2 +8x - 48.Which equation must

Mathematics
1 answer:
velikii [3]3 years ago
7 0

Answer:

d) p(4) = 0.

Step-by-step explanation:

p(4) = 0:-

p(4) = 4^2 + 8(4) - 48

= 16 + 32 - 48

= 0.

This is an application of the Factor Theorem ( a special case of The Remainder Theorem)

The Factor theorem states that if (x - a) is a factor of P(x) then P(a) = 0.

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Uhm I have no idea how to answer this I’ve been trying for the past like 3 days
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4 years ago
Read 2 more answers
Find the value of x, rounded to the nearest tenth <br> A. 24.5<br> B. 18<br> C. 16.1<br> D. 2
Strike441 [17]

Answer:

B. 18

Step-by-step explanation:

Given:

There are two chord in the circle.

These chords are divided in two segments.

Segments of 1 chord is 21 and 6.

Segments of 2 chord is x and 7.

Now by using Intersecting Chord Theorem which states,

"When two chords intersect each other inside a circle, the products of their segments are equal."

Hence from above theorem we can say that;

x\times7=21\times6\\7x = 126\\x= \frac{126}{7}\\x=18

Hence the Value of x is 18.

8 0
3 years ago
Find the missing angle measure, arc measure or solve for x. Show all<br> work!
n200080 [17]

Answer:

mYW = 151°

Step-by-step explanation:

∠XWY is an inscribed angle because it has a vertex on the circle. This means that m∠XWY is half of the arc it intercepts, which is XY. We can model the situation using an equation:

m∠XWY = mXY / 2

37° = mXY / 2

mXY = 74°

All arcs in a circle add up to 360°. Because of this, we can say:

mXY + mYW + mWX = 360°

74° + mYW + 135° = 360°

209° + mYW = 360°

mYW = 151°

5 0
3 years ago
Sea un cuadrado de 2 pulgadas de lado uniendo los puntos medios se obtiene otro cuadrado inscrito en el anterior si repetimos es
Ne4ueva [31]

Answer:

1) La serie geométrica formada es

4, 2, 1,..., ∞

2) La suma al infinito de las áreas de los cuadrados es 8 in.²

Step-by-step explanation:

1) El área del primer cuadrado, a₁ = 2² = 4 pulgadas²

El área del siguiente cuadrado, a₂ = (√ (1² + 1²)) ² = (√2) ² = 2 pulg²

El área del siguiente cuadrado, a₃ = ((√ (2) / 2) ² + (√ (2) / 2) ²) = 1 pulg²

Por lo tanto, la razón común, r = a₂ / a₁ = 2/4 = a₃ / a₂ = 1/2

Las áreas de los cuadrados progresivos forman una progresión geométrica como sigue;

4, 4×(1/2), 4 ×(1/2)²,...,4×(1/2)^{\infty}

De donde obtenemos la serie geométrica formada de la siguiente manera;

4, 2, 1,..., ∞

2) La suma de 'n' términos de una progresión geométrica hasta el infinito para -1 <r <1 se da como sigue;

S_{\infty} = \dfrac{a}{1 - r}

Por lo tanto, la suma de las áreas de los cuadrados hasta el infinito se obtiene sustituyendo los valores de 'a' y 'r' en la ecuación anterior de la siguiente manera;

La \ suma \ al \ infinito \ del \ cuadrado \ S_{\infty}  = \dfrac{4 \ in.^2}{1 - \dfrac{1}{2} } = \dfrac{4 \ in.^2}{\left(\dfrac{1}{2} \right)} = 2 \times 4 \ in.^2= 8 \ in.^2

La suma al infinito de las áreas de los cuadrados, S_{\infty} = 8 in.²

7 0
3 years ago
For the Black Panther Trip 420 students were scheduled to go. After collecting more parent surveys, 15% more students are going
natulia [17]

Answer: $ 10,988.25

Step-by-step explanation:

Hi, to answer this question, first we have to multiply the original number of students scheduled to go to the trip (420) by the added students’ percentage (15%) in decimal form (divided by 100)

420 x (15/100) = 420 x 0.15 = 63 students added

Adding the number of extra students to the original number:

420+63 = 483 students (total number of students)

Finally, we have to multiply the result by the cost of each admission ticket (22.75)

483 x 22.75 = $ 10,988.25  

4 0
3 years ago
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