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3 years ago

Find the lengths of the missing sides. If the length is irrational, round to the nearest tenth.

Mathematics

2 answers:

grigory [225]3 years ago

8 0

Answer: 25

Step-by-step explanation:

Yuri [45]3 years ago

8 0

25in
Using Pythagorean theorem (a^2+b^2=c^2)
15^2+20^2=c^2
225+400=c^2
625=c^2
Square root to get c alone
C=25

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Write a quadratic equation in standard form that has 5 3 and 7 3 as its roots. A) 9x2 − 36x + 35 = 0 B) 9x2 + 36x − 35 = 0 C) 9x

Serggg [28]

Answer:

Option A)

$9x^2 - 36x + 35 = 0$

Step-by-step explanation:

We are given the following in the question:

Roots of quadratic equation are:

$\alpha = \dfrac{5}{3}, \beta = \dfrac{7}{3}$

The sum of the roots and the product of the roots can be calculated as:

$\alpha + \beta = \dfrac{5+7}{3} = 4\\\\\alpha\beta = \dfrac{5}{3}\times \dfrac{7}{3} = \dfrac{5}{9}$

Standard form of quadratic equation:

$x^2-(\alpha + \beta)x+\alpha\beta = 0$

Putting values, we get,

$x^2 - 4x + \dfrac{35}{9} = 0\\\\9x^2 - 36x + 35 = 0$

is the required quadratic equation.

Thus, the correct answer is

Option A)

$9x^2 - 36x + 35 = 0$

5 0

3 years ago

PLEASE HELP!!!

goldfiish [28.3K]

The correct answer to the first question is: A'(-5, 6)

The second answer is un-answerable, because the pictures you have provided do not display triangles.

6 0

3 years ago

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Jake is wrapping a gift that is in a box with the following dimensions.

nordsb [41]

Answer: 8

Step-by-step explanation: first multiply 12x4x8 for jakes gift. that is 384

then make each of the dimensions twice as large. so havanas dimensions would be. 24x8x16

24x8x16=3,072

last divide 3,072 by 384 and the answer would be 8

Havana's box is 8 times larger.

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2 years ago

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A number line goes from negative 5 to positive 5. Point D is at negative 4 and point E is at positive 5. A line is drawn from po

Ronch [10]

Directed numbers are numbers that have either a positive or negative sign, which can be shown on a number line. Therefore, point F is Fifteen-halves of line segment DE.

A number line is a system that can show the positions of positive or negative numbers. It has its ends ranging from negative infinity to positive infinity. Thus any directed number can be located on the line.

Directed numbers are numbers with either a negative or positive sign, which shows their direction with respect to the number line.

In the given question, the distance between points D and E is 9 units. So that dividing 9 units in the ratio of 5 to 6, we have;

$\frac{5}{6}$ x 9 = $\frac{45}{6}$

= $\frac{15}{2}$

Therefore, the location of point F, which partitions the directed line segment from d to E into a 5:6 ratio is $\frac{15}{2}$ . Thus the answer is Fifteen-halves.

For further clarifications on a number line, visit: brainly.com/question/23379455

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2 years ago

A number that multiplies a variable in a term is a ___

adelina 88 [10]

It’s gonna be B coefficient

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3 years ago

Find the lengths of the missing sides. If the length is irrational, round to the nearest tenth. ​

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