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Alja [10]
3 years ago
12

HELP ME PLZZZ!!!! URGENT!!!​

Mathematics
1 answer:
finlep [7]3 years ago
5 0

Answer:

Step-by-step explanation:

Given equation is,

x² + (p + 1)x = 5 - 2p

x² + (p + 1)x - (5 - 2p) = 0

x² + (p + 1)x + (2p - 5) = 0

Properties for the roots of a quadratic equation,

1). Quadratic equation will have two real roots, discriminant will be greater than zero. [(b² - 4ac) > 0]

2). If the equation has exactly one root, discriminant will be zero [(b² - 4ac) = 0]

3). If equation has imaginary roots, discriminant will be less than zero [(b² - 4ac) < 0].

Discriminant of the given equation = (p+1)^2-4(1)(2p-5)

For real roots,

(p+1)^2-4(1)(2p-5)>0

p² + 2p + 1 - 8p + 20 > 0

p² - 6p + 21 > 0

For all real values of 'p', given equation will be greater than zero.

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a rhombus as an area of 72 ft and the product of the diagonals is 144. What is the length of each diagonal?
SashulF [63]

A = (1/2)(x)(y)

Let x = diagonal 1

Let y = diagonal 2

The product of xy = 144.

This means that x = 12 and y = 12.

So, 12 • 12 = 144

Each diagonal is 12 feet.

Prove:

72 feet = (1/2)(12)(12) feet

72 feet = (1/2)(144) feet

72 feet = 72 feet

6 0
3 years ago
Three hundred high school seniors were surveyed about their intended college majors. The results are displayed in the Venn Diagr
atroni [7]

Answer: \frac{1}{10}

Step-by-step explanation:

Since, The total number of student = 300

Out of which,

The number of students who are only in Maths  = 120

And, The number of students who are only in Science  = 50

While, the students who are not from any subject = 100

Hence, the number of student who are from both maths and science = Total student - Maths student (only) - science student (only) - None

= 300 - 120 - 50 - 100

= 30

That is, there are 30 students who are both from science and maths,

Thus, the probability of selecting one student who is both from maths and science = 30/300 = 1/10

3 0
3 years ago
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What is the amout of matter in an object​
Aneli [31]

Answer:

the amount of matter is mass. how much space you take up

Step-by-step explanation:

4 0
3 years ago
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If a jogger jogs 6 kilometers in 45 minutes what is his speed
kaheart [24]
45 minutes = 3/4 hours

so his speed  = 6  / 3/4 kph

                     = 8 km / h Answer
6 0
3 years ago
Draw a 3 by 7 square. Find its area , show your reasoning
Anna007 [38]
Well, it wouldn'r be a square, but a rectangle.
3*7=21
The area of the rectangle is 21u²
5 0
3 years ago
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