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3 years ago

Consider the following expression and determine which statements are true. x^2+5yz−8

Mathematics

1 answer:

statuscvo [17]3 years ago

8 0

Answer:

A.there are 3 terms.

B.the variables are x, y, and z.

Step-by-step explanation:

Complete question below:

Consider the following expression and determine which statements are true. x^2+5yz−8

CHOOSE 2 ANSWERS)

A.there are 3 terms.

B.the variables are x, y, and z.

C.The coefficient of x is 2.

D.the term 5yz is made up of 2 factors

The expression x^2+5yz-8

has three terms namely: x^2, 5yz and -8

The variables are x, y and z

The coefficient of x is 1 not 2, so option c is wrong

The term 5yz is made up of more than two factors namely 5, y, z, 5y, 5z, 5yz . So option d is also wrong.

The correct answers are option a and option b

A.there are 3 terms.

B.the variables are x, y, and z

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I feel like crying please help me

LekaFEV [45]

Hey there!

To start, the slope intercept equation format is y=mx+b where m=the slope and b=the y-intercept.

Because you appear to have a coordinate set to plug in for x and y as well as a slope of 4, you can plug your known values into the slope intercept equation:
y=mx+b
coordinate: (1,6)
y=6 (the y value of the coordinate point)
x=1 (the x value of the coordinate point)
m=4 (the slope of the equation, given)

6=4(1)+b

Because b, your y-intercept is your only missing value, you can simplify your equation and solve for b:
6=4(1)+b
6=4+b
b=2

Now that you have your two needed values, your slope and your y-intercept, your final equation should be y=4x+2, or the third choice.

Hope this helps and I hope you have a wonderful rest of your day! :)

8 0

3 years ago

Peter walked 10m from X to Y on bearing 020° and then he turned and walked 20m to Z with bearing 140° of Z from Y. Find the dist

seraphim [82]

Answer:

17.32m ; 110°

Step-by-step explanation:

Distance between X and Z

To calculate the distance between X and Z

y^2 = x^2 + z^2 - (2xz)*cosY

x = 20, Z = 10

y^2 = 20^2 + 10^2 - (2*20*10)* cos60°

y^2 = 400 + 100 - (400)* 0.5

y^2 = 500 - 200

y^2 = 300

y = sqrt(300)

y = 17.32m

Bearing of Z from X:

Using cosine rule :

Cos X = (y^2 + z^2 - x^2) / 2yz

Cos X = (300 + 100 - 400) / (2 * 20 '*10)

Cos X = 0 / 400

Cos X = 0

X = cos^-1 (0)

X = 90°

Bearing of Z from X

= 20° + X

= 20° + 90°

= 110°

3 0

3 years ago

A triangular road sign has a height of 3 feet and a base of 2.5 feet. How much larger in area is this sign than one with a heigh

jeka57 [31]

Answer:

Not larger or smaller; the areas are the same

Step-by-step explanation:

Recall that the formula for the area of a triangle of base b and height h is

A = (1/2)(b)(h).

In the first case, h = 3 ft and b = 2.5 ft. This results in an area of 3.75 ft^2.

In the second case, h = 2.5 ft and b = 3 ft. The area is the same: 3.75 ft^2.

This is because A = (1/2)(b)(h) has the same value regardless of the order in which b and h are used as multipliers.

There is no difference in the areas of the two signs. The areas are the same.

5 0

3 years ago

The number sentence 4x6=6x4 is an example of the what property

monitta

Answer:

commutative property of multiplication

Step-by-step explanation:

The value of the product of the given equation remain the same while the order is reversed

The number sequence 4 × 6 = 6 × 4 is an example of the commutative property of multiplication

Reason:

The given number sentence is 4 × 6 = 6 × 4

Required: The property the number sentence is an example of (represent)

Solution:

The difference between the left and right expression is that the order of the

values being multiplied is changed or reversed (commute)

Therefore, the number sentence states that the value of the multiplication

of two variables remain equal when the places of variables are

interchanged as follows; a × b = b × a

a × b = b × a is an example of commutative property of multiplication

Therefore;

4 × 6 = 6 × 4 is an example of the commutative property of multiplication

5 0

2 years ago

Graph and label Point H at 1.5 , negative 6 thirds

andre [41]

They are actually asking for 1.5 and -2 so the answer will be coordinated at approximately half past 1 and on -2 which is located on the right lower quadrant

7 0

3 years ago