How do you solve the system by substitution 6x+2y=-26
x-6y=21

Answers

Answer 1

Answer: $\begin{cases} 6x+2y=-26 \ \ / *3 \n x-6y=21 \end{cases}\n \n\begin{cases} 18x+6y=-78 \n x-6y=21 \end{cases}\n \n+ \---------\n19x= -57 \ \ /:19\n \nx=-(57)/(19)\n \nx=-3$

$x-6y=21\n \n -3-6y=21 \ \ | 3\n \n -3+3-6y=21+3\n \n-6y=24 \ \ /:(-6)\n \ny=-(24)/(6) \n \n y=-4\n \n\begin{cases} x=-3 \n y=-4 \end{cases}$

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Of the 250 sheep in a flock, 42% are spotted. What is the total number of spotted sheep in the flock?

Describe how to decide if 94 is a prime number or composite number

Answers

94 is a composite number.

If 94 were a prime number, 94 would only have 2 factors, which are 1 and itself. Since 94 has another factor other than 1 and itself (which is 2), 94 is a composite number.

Hope this helps~

to decide if 94 is a prime number or composite numberyou must find the prime factorization

Triangle UVW is drawn with vertices at U(−1, 1), V(0, −4), W(−4, −1). Determine the coordinates of the vertices for the image, triangle U′V′W′, if the preimage is rotated 90° counterclockwise

Answers

The coordinates of the vertices for the image, triangle U′V′W′, if the preimage is rotated 90° counterclockwise include the following:

U' = (1, 1).

V' = (-4, 0).

W' = (-1, 4).

What is a rotation?

In Mathematics and Geometry, the rotation of a point 90° about the center (origin) in a counterclockwise (anticlockwise) direction would produce a point that has these coordinates (-y, x).

By applying a rotation of 90° counterclockwise to the vertices of triangle UVW, the coordinates of the vertices of the image are as follows:

(x, y) → (-y, x)

Ordered pair U = (-1, 1) → Ordered pair U' = (1, -(-1)) = (1, 1).

Ordered pair V = (0, -4) → Ordered pair V' = (-4, -(0)) = (-4, 0).

Ordered pair W = (-4, -1) → Ordered pair W' = (-1, -(-4)) = (-1, 4).

Read more on rotation here: brainly.com/question/28854313

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A triangle has side lengths of 7, 24, and 26. Is the triangle right, acute, or obtuse? A) Right
B) Acute
C) Obtuse

Answers

We use the Pythagorean theorem to determine if the side lengths given will result to either a right, acute, or obtuse triangle.

a = 7 ; b = 24 ; c = 26

a² + b² = c² ⇒ right triangle
a² + b² > c² ⇒ acute triangle
a² + b² < c² ⇒ obtuse triangle

7² + 24² = > < 26²
49 + 576 = > < 676
625 < 676 OBTUSE TRIANGLE

There are 10 sports balls in the equipment closet. Three are kickballs . Write the portion of the balls that are kickballs as a fraction, as a decimal, and in word form

Answers

Answer:

Proportion of kickball =

$p =(x)/(n) = (3)/(10)\n\np=0.3$

Step-by-step explanation:

We are given the following in the question:

Total number of ball, n = 10

Number of kickball,x = 3

Proportion of balls in fraction =

$p =(x)/(n) = (3)/(10)$

Proportion of balls in decimals =

$p =(x)/(n) = (3)/(10)\n\np=0.3$

Proportion in words =

3 out of 10 balls are kick balls that is 30% of the balls are kick balls.

To convert from square miles to square feet,what operation will you use

Answers

The correct one is multiplication.

-- Take the number of square miles.

-- Multiply it by the fraction (5,280 feet / 1 mile)² .

-- After canceling things where possible, simplifying, and
cleaning up the product, what you have is the same area
expressed in square feet.

Multiplication because to convert from a larger unit, miles, to a smaller unit, feet, you multiply the number of miles by the number of feet in a mile to get the total number of feet.

Please answer these rly simple but I'm confused still questions

Thanks!