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ira [324]
3 years ago
15

• Write an expression for the perimeter of a

Mathematics
1 answer:
Ksenya-84 [330]3 years ago
6 0

Answer:

10 (X+1)

Step-by-step explanation:

Length = 2x + 5

Width = 3x

Perimeter of rectangle= 2(L + W)

P= 2\times (2x+5+3x)

P= 2\times (5x+ 5)

Now, taking 5 as common

P= 2\times 5 (x + 1)

∴ Perimeter of rectangle= 10\times (x+1)

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If the discriminant of a quadratic equation is equal to -8, which statement describes the roots?
tia_tia [17]

Answer:

There are two complex roots.

Step-by-step explanation:

When the discriminant is a negative number, the parabola will not intersect the x-axis. This means that there are no solutions/two complex solutions.

4 0
3 years ago
To win a trivia game, Nathan must score at least 105 points. Each correct answer is worth \large 3\frac{1}{3} points, and each i
myrzilka [38]

Answer:

Nathan earned 100 points. he lost the trivia game by 5 points.

Step-by-step explanation

3\frac{1}{3} * 33 = 110 points earned

\frac{1}{2} * 20 = 10 points lost

110-10 = 100

Nathan earned 100 points. he lost the trivia game by 5 points.

3 0
3 years ago
Carolina y su mamá compraron tres tortas de sabores diferentes para la reunión con sus amigos del colegio. De la torta de naranj
Karo-lina-s [1.5K]

Answer: 2 1/5 partes  de torta

Step-by-step explanation:

Para contestar esta pregunta debemos sumar cada parte de torta:

0.7+9/12+6/8 =

Convertimos las fracciones en decimales, para tener todos los valores expresados de la misma forma. Dividiendo:

9/12=0.75

6/8=0.75

Sumamos :

0.7+0.75+0.75 = 2.2 partes = 2 1/5 partes

En conclusión, Carolina y sus amigos comieron 2 1/5 partes de torta.

5 0
3 years ago
Which could be the area of the base of the triangular prism?     [Not drawn to scale]6 ft210 ft212 ft220 ft2
Alexus [3.1K]
For this case, the first thing we must observe is that the base of the prism is a triangle.
 The area of the triangle is given by:
 A = (1/2) * (b) * (h)

 Where,
 b: base of the triangle
 h: height of the triangle
 Substituting values we have:
 A = (1/2) * (4) * (3)

A = 6 ft ^ 2
 Answer:
 
The area of the base of the triangular prism could be:
 
A = 6 ft ^ 2
6 0
3 years ago
Read 2 more answers
Is (x + 7) a factor of f(x) = x3 − 3x2 + 2x − 8? Use either the remainder theorem or the factor theorem to explain your reasonin
guajiro [1.7K]

Step-by-step explanation:

If x + 7 is a factor of f(x), then f(-7) = 0.

f(-7) = (-7)³ − 3(-7)² + 2(-7) − 8

f(-7) = -343 − 147 − 14 − 8

f(-7) = -512

x + 7 is not a factor of f(x).

4 0
3 years ago
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