I need help with this Question.Solve the system by substitution y=3 and 2x-y=11

By answering the above question, we may infer that The equation's answer is B) 60 ft.

A mathematical equation links two statements and utilises the equals sign (=) to indicate equality. In algebra, an equation is a mathematical assertion that proves the equality of two mathematical expressions. For instance, in the equation 3x + 5 = 14, the equal sign separates the numbers by a gap. A mathematical formula may be used to determine how the two sentences on either side of a letter relate to one another. The logo and the particular piece of software are usually identical. like, for instance, 2x - 4 = 2.

What is the distance between the bases on a softball field

A) 50 ft

B) 60 ft

C) 70 ft

D) 80 ft

The answer is B) 60 ft.

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Hi there! :)

\(\large\boxed{\text{B. 11 cm.}}\)

Begin by using Pythagorean theorem to solve for the length of the diagonal of the base:

a² + b² = c²

Use the length and width in the equation:

8² + 3² = c²

64 + 9 = c²

73 = c²

c ≈ 8.54 cm

Now, we can find the length of the diagonal of the prism using our calculated diagonal of the base and the height. Use the same equation:

(8.54)² + 7² = c²

73 + 49 = c²

122 = c²

√122 = c

c = 11.05 ≈ 11 cm. The correct answer is B.

Answer:

  -3, 0, 5

Step-by-step explanation:

You want the zeros of P(x) = x³ − 2x² − 15x using the factored form.

We notice right away that x is a factor of every term. Factoring that out gives us a quadratic to factor:

  P(x) = x(x² -2x -15)

To factor this, we need two factors of -15 that have a sum of -2. The factors -5 and +3 have those properties. That means our factored form is ...

  P(x) = x(x +3)(x -5) . . . . factored form

This product will be zero when any of its factors is zero. Considering them one at a time, we find the zeros of P(x) to be ...

  x = 0

  x +3 = 0   ⇒   x = -3

  x -5 = 0   ⇒   x = 5

The zeros of P(x) are -3, 0, 5.

The length of the sides of triangle ABC are: 6, 8, and 12.

One of the conditions that two triangles are similar is their Three pairs of corresponding sides are proportional.

In the given problem, the ratio of the sides of triangle ABC is 3 : 4 : 6

Another triangle, let's say triangle DEF, is made with its vertices at midpoints of the sides of triangle ABC.

Hence, all three pairs of corresponding sides have the same proportion.

AB/DE = BC/EF = AC/DF = 1/2

Due to similarity, the ratio of the sides of triangle DEF is also 3 : 4 : 6.

ratio f sides : perimeter = 3 : 4 : 6 : 13

Since its perimeter is 13, it means that the length of sides of triangle DEF are: 3, 4, and 6

Length of the sides of triangle ABC = 2 x length of the sides of Δ DEF

Length of the sides of triangle ABC are: 6, 8, and 12.

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Answer: 27.509, 27.56, 27.599, 27.5998

Step-by-step explanation:

The probability that both players show rock in the first round is 1/9 or 0.1111 (rounded to four decimal places).

In rock, paper, scissors there are three possible outcomes for each player: rock, paper, or scissors. Assuming both players choose randomly and independently of each other, each player has a 1/3 chance of showing rock in the first round.

To find the probability that both players show rock in the first round, we can use the multiplication rule of probability for independent events. The multiplication rule states that the probability of the intersection of two independent events is the product of their probabilities.

Therefore, the probability that both players show rock in the first round can be calculated as follows:

P(both show rock) = P(player 1 shows rock) x P(player 2 shows rock) P(both show rock) = 1/3 x 1/3 P(both show rock) = 1/9

So the probability that both players show rock in the first round is 1/9 or approximately 0.111.

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The value of angle ABE is 52°

A triangle is a polygon with three edges and three vertices. It is one of the basic shapes in geometry. A triangle with vertices A, B, and C is denoted by triangle ABC.

The interior angles of a triangle are the inside angles formed where two sides of the triangle meet.

The sum of interior angle in a triangle is 180°

Angle EBD = 180-(90+27)

= 180-117

= 63°

angle ABE + EBD = ABD

ABE = ABD - EBD

ABE = 115-63

= 52°

Therefore the value of angle ABE is 52°

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Yana opened her saved paper, wrote, took a break, deleted some of the words, and then began writing again. Then the correct option is A.

What is a function?

A statement, principle, or policy that creates the link between two variables is known as a function. Functions are found all across mathematics and are required for the creation of complex relationships.

Yana is in the school computer lab writing a paper for history class. The graph represents the number of words Yana has written after a number of minutes.

The graph is given below.

From the graph, Yana opened her saved paper, wrote, took a break, deleted some of the words, and then began writing again.

Then the correct option is A.

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Answer:

10. Let m<Y = y.

Then,

m<Y + m<X +m<Z = 180 [ Sum of angles of triangle is 180 degrees]

or, y + (6x-23) + (4x + 9) = 180

or, y + 10x -14 = 180

or, y = 194 - 10x

or, m<Y = 194 - 10x

12. Solution,

a.  m<1 = 60 degrees [Each angles of equilateral triangle is equal to 60 degrees]

b.  In triangle WYZ,

m<Z + m<ZWY + m<ZYW =180 [Sum of angles of triangle is 180]

or, 138 + m<ZWY +m<ZWY =180 [Base angles of isosceles triangle are equal, i.e. m<ZYW = m <ZWY]

or, 2 (m<ZWY) = 180 -138 = 42

or, m<ZWY = 21 = m<ZYW

or, m<3 = 21 = m<5

c. Solution,

m<XWY = m<2 + m<3 [Addition axiom]

or, 60 = m<2 + 21 [Each angle of equilateral triangle is 60]

or, m<2 = 39

d. Solution,

m<4 + m<5 =60 [<XYW = 60 ]

or, m<4 + 21 = 60

or, m<4 = 39

The value of x  so that the line through the points (x, 8) and (1, -6) has the given slope -7 is -1.

The equation of a line can be represented in slope intercept form as follows:

y = mx + b

where

Therefore, the line passes through the points (x, 8) and (1, -6) and have a slope of -7.

Using slope intercept form let's find x.

using (1, -6) let's find y-intercept

-6 = -7(1) + b

b = -6 + 7

b = 1

Let's find x using (x, 8).

y = -7x + 1

8 = -7x + 1

-7x = 8 - 1

-7x = 7

x = -7 / 7

Hence,

x = - 1

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Answer:

Step-by-step explanation:

students in 7th  grade took a standardized math test that they also had taken in 5th grade. the collected data showed that in two years the median increased by three points, and the mean increased by around two and a half points. In terms of the context, that proves that there is overall improvement in the grades of students.but there is a small difference between mean increase and median increase. While median increased 3 points, mean increased only by 2.5 points.  This implies there exists unusually low level iq students who had unusually low score thus affecting mean to be low.special training should be given to those students.

Answer:

In general, the students increased their standardized math scores from 5th grade to 7th grade. The students might be more familiar with the exam and they have learned more in their math classes.

Step-by-step explanation:

that is the sapmle response on edg.

On solving the provided question we can say that slope=(100-50)/(8-4)=50/4=25/2=12.5 => the slope is 12.5

A line's slope determines how steep it is. A mathematical equation for the gradient is called "gradient overflow" (the change in y divided by the change in x). The slope is the ratio of the vertical change (rise) between two points to the horizontal change (run) between those same two spots. When a straight line's equation is written as y = mx + b, the slope-intercept form of an equation is employed to express it. The y-intercept is located at a location where the line's slope is m, b is b, and (0, b). For instance, the slope of the equation y = 3x - 7 and the y-intercept (0, 7).The line's slope is m. b is b at the point where the y-intercept is, and (0, b). As an illustration, the equation y = 3x - 7 has a slope of 3, and its y-intercept is (0, 7).

the constant of proportinality is the sloep or

x is independent variable and y is dependent variable

the independent variable influences the value of the dependent variable

in this case, the number of months influences the amount of money saved

y/x

to find the slope, you do

x=number of months

y=amount

we have

4months, $50

8 months, $100

18 months, $225

(x,y), (4,50), (8,100), (18,225)

we can compare, the slope between the points (a,b) and (c,d) is, (d-b)/(c-a), we can take the slope between any 2 points (assuming the slope is the same, which it is)

(4,50) and (8,100)

slope=(100-50)/(8-4)=50/4=25/2=12.5

the slope is 12.5

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Answer:

see below

Step-by-step explanation:

When you rotate a point 270 degrees clockwise (x, -y) becomes (-y, -x) so the answer would be (-5, -3).

The volume of the closet space = 207,936 in³

The volume of the one roll of toilet paper = 141.3in³

To calculate the volume of the closet, the formula that should be used is the formula for the volume of a rectangle = length×width×height.

Where;

length = 57 in

width = 57

height = 64

volume = 57×57×64 = 207,936 in³

The volume of the toilet paper with the shape of a cylinder would be = πr²h

where;

radius = diameter/2= 6/2=3in

height = 5 in

volume of cylinder = 3.14×3×3×5 =141.3in³

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Answer:

100 seconds

Step-by-step explanation:

200/2 = 100s

Answer:

2/5

Step-by-step explanation:

2 divided by 5 is 0.4 which is greater than .35

Answer:

0.35  <  2 /5

Step-by-step explanation:

Simplifying then comparing both terms  0.35  and  2/ 5 .

0.35  is less than  0.4  which means that the first term is less than the second term.

The relation between a point and a circle is relative to the location of the point relative to the circumference of the circle, which can be inside, at the circumference, or outside.

The relationship between a point and a circle can be described as follows:

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Answer:

720 feet

Step-by-step explanation:

3*12=36 inches

36/3=12 inches per section of land

1/4 inch -> 15 feet

1 inch -> 60 feet

12 inch -> 720 feet

answer is 720

Area of base triangle = 1/2×base×height

Area of base= 8×6×1/2= 24cm²

Area of prism = Bh = 24 × 12 = 288cm³

Answer:

Solution given:

base[b]=6cm

height [h]=8cm

length[l]=12cm

volume of a prism=area of triangle *length

=½*b*h*l=½*6*8*12=288cm³

is a required answer.

The value of y when f(y) = -8 is -1.

Given,

f(y) = 5y - 3

We have to find the value of y if f(y) is given as -8

f(y) = 5y - 3

Substitute f(y) = -8 in the expression.

-8 = 5y - 3

Add 3 to both sides

-8 + 3 = 5y - 3 + 3

We get,

3 - 8 = 5y

That is,

-5 = 5y

Divide both sides by 5

-5/5 = 5y/5

Then,

-1 = y

That is, the value of y when f(y) = -8 is -1.

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Answer:

x intercept =5 y intercept =0

Step-by-step explanation:

Answer:

The Rational Zero Theorem helps us to narrow down the list of possible rational zeros for a polynomial function. Once we have done this, we can use synthetic division repeatedly to determine all of the zeros of a polynomial function.

Step-by-step explanation:

Answer:

The Rational Zero Theorem helps us to narrow down the list of possible rational zeros for a polynomial function. Once we have done this, we can use synthetic division repeatedly to determine all of the zeros of a polynomial function.

Step-by-step explanation:

Answer:

The triangles are similar.

Explanation:

Similar triangles have 3 pairs of congruent angles. In this diagram, we can see that the triangles WXP and WYZ share angle W, which is congruent to itself; therefore, they have at least 1 pair of congruent angles. We are given that angle X is congruent to angle Y, so that is a second pair of congruent angles. Finally, we know that angle P is congruent to angle Z because if two pairs of corresponding angles are congruent, then the third pair must also be congruent because the measures of the interior angles of both triangles have to add to 180°.

The graph of y=-3x-1 is given in the attachment.

Graph is a mathematical representation of a network and it describes the relationship between lines and points.

The given equation is  y=-3x-1

The slope intercept form of a line is y=mx+b, where m is slope and b is the y intercept.

In the given equation slope is -3.

Let us find few values of x and y.

x    0    1    2     3    4

y    -1   -4   -7    -10  -13

Hence, the graph of y=-3x-1 is given in the attachment.

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The expression "La luna pesca en el charco". which is equivalent to "The moon fishes in the puddle" and is used to express that an event is not likely to happen.

To begin, this expression is not a literal but a figurative expression. Now, the equivalent of this expression in English is "The moon fishes in the puddle". As this is a figurative expression we know that it is impossible for the moon to fish.

Instead, this expression means that something is impossible or not very likely to happen. For example, winning the lottery if you do not buy the lottery.

Note: Here is the question in English:

What is the meaning of the moon fishes in the puddle?

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Question 24 :

P594.65 : 35 days

P594.65/7 : 35/7 days

P84.95 : 5 days

⇒ A. P84.95

Question 25 :

88.75 + 85.5 + 90.5 + 87.25 / 4

352/4

88

⇒ B. 88

Question 26 :

I = P × r × t

I = 580.00 × 0.065 × 1

I = P37.70

⇒ B. P37.70

He will use 9.375 acres of the land for the park

A fraction is used to represent the portion/part of the whole thing. It represents the equal parts of the whole.

Since the land is 21.5 acres and 0.75 of the land  was used for a park. we can write:

acres used for the park = 0.75 × 12.5 = 9.375 acres

Thus, he will use 9.375 acres for the park

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Answer:

225 is the answer

15 times 15

Step-by-step explanation: