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3 years ago

Which characteristics do a rhombus and a rectangle always have in common?

1 answer:

defon3 years ago

4 0

A characteristic that a rhombus and a rectangle always have in common, would be that they are both quadrilaterals. Hope this helped!

-TTL

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Determine the factors of x2 − 7x − 10. (5 points) a (x + 2)(x − 5) b Prime c (x − 2)(x + 5) d (x + 10)(x − 1)

Savatey [412]

For this case we must factor the following expression:

$x ^ 2-7x-10$

To factor, we must find two numbers that when added together give -7 and when multiplied by -10.

It is observed that there are not two whole numbers that comply with the aforementioned.

Thus, the following equation applies:

$x = \frac {-b \pm\sqrt{b ^ 2-4 (a) (c)}} {2 (a)}$

Where:

$a = 1\\b = -7\\c = -10$

We replace:

$x = \frac {- (- 7) \pm \sqrt {(- 7) ^ 2-4 (1) (- 10)}} {2 (1)}\\x = \frac {7 \pm \sqrt {49 + 40}} {2}\\x = \frac {7 \sqrt {89}} {2}$

So, the roots are:

$x_ {1} =\frac {7+ \sqrt {89}} {2}\\x_ {2} =\frac {7- \sqrt {89}} {2}$

Answer:

$x_ {1} =\frac {7+ \sqrt {89}} {2}\\x_ {2} =\frac {7- \sqrt {89}} {2}$

6 0

3 years ago

Solve these equations

Alex_Xolod [135]

Could u take the picture from a different angle

5 0

3 years ago

Logan saved $35 from cutting the neighbor’s yard. He earns $10 a week from washing dishes, which he also saves. Which function c

balandron [24]

the answer is “s = 10w + 35” since he already has 35 but needs to find out how many weeks he washed the dishes :))

7 0

2 years ago

The function g(x) is a transformation of the quadratic parent function, fx):

77julia77 [94]

Answer: D

Step-by-step explanation:

The graph is narrower, so the coefficient of $x^2$ has an absolute value more than 1.

Eliminate B and C.

Also, because g(x) opens down, the coefficient of $x^2$ is negative.

Eliminate A.

This leaves D as the answer.

6 0

2 years ago

I need an answer soon, please! Whoever answers first will get Brainliest!!! Please no troll answers!

Colt1911 [192]

Answer:

x = 8, and y = 12

Step-by-step explanation:

There are 2 variables, so you need 2 equations to form a system of equations in two variables.

The upper left triangle has all angle measures given: 100, 2x + y, 5x + y. We know that the sum of the measures of the angles of a triangle is 180.

First equation:

100 + 2x + y + 5x + y = 180

Simplify:

7x + 2y = 80 (First equation)

Now we see that the upper and lower sides are parallel, so alternate interior angles are congruent. The angles measuring 2x + y and 5x - y are alternate interior angles and are congruent.

Second equation:

2x + y = 5x - y

Simplify:

3x - 2y = 0 (Second equation)

Now we use the first equation and the second equation as a system of simultaneous equations to solve for x and y.

7x + 2y = 80

3x - 2y = 0

Solve the second equation for 2x.

3x = 2y

Now replace 2y in the first equation with 3x.

7x + 3x = 80

10x = 80

x = 8

Replace x with 8 in the second equation.

3(8) - 2x = 0

24 = 2x

x = 12

Answer: x = 8, and y = 12

8 0

3 years ago

Read 2 more answers