MATHEMATICS HIGH SCHOOL

The area of a triangle is 3.6 cm 2 . If the triangle has a base of 6 cm, what is the height?0.6 cm
1.2 cm
12 cm
3 cm

Answers

Answer 1
Answer: A. 0.6 cm
On you calculator, divide 3.6 by 6 and you will get the answer of 0.6

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The product of 7/16 , 4/3 and 1/2 is?

A shipment of marbles with a mean diameter of 27 mm and a standard deviation of 0.15 mm is normally distributed. By how many standard deviations does a marble with a diameter of 26.85 mm differ from the mean?

Answers

This could be solved by calculating the z-score. Itsdefinition is the number of standard deviations from the mean a data point is.The formula is,

Z =║Data point – Mean║ / Std. dev.

Z = ║26.85 mm – 27 mm║ / 0.15

Z = 1

Answer:

The answer would be 1

Step-by-step explanation:

Consider the equation x2 + 8x = 10. 1. Show how to solve the equation by completing the square.
2. Show how to solve the equation by using the quadratic formula.
3. Round solutions to the nearest tenth if needed.

Answers

ad like terms such as the question states this statement is true

Use summation notation to write the series2+4+6+8+... For 10 terms

Answers

that would be:
[tx]
$\sum_{n=1}^{10} 2*n$
[/tex]

Plz help with questions number 1 and 2

Answers

Answer:

question 1=12

question 2= 3|-2x^2-4|-4

Step-by-step explanation:

question 1

u(t)=7t-2\n\ns(t)=t^(2)-9 \n\ns(u(2))=?\n\nu(2)=7(2)-2=14-2=12\n\nu(2)=12\n\ns(12)=(12)^2-9=144-9=135\n\ns(u(2))=135

question 2

f(x)=3|x+1|-4\n\ng(x)=-2x^2-5\n\nf(g(x))=?\n\ng(x)=-2x^2-5\n\nf(-2x^2-5)=3|(-2x^2-5)+1|-4\n\nf(g(x))=3|-2x^2-5+1|-4\n\nf(g(x))=3|-2x^2-4|-4\n\n

A pair of equations is shown below.3x − y = 9
y = −2x + 11

If the two equations are graphed, at what point do the lines representing the two equations intersect?
(4, 3)
(3, 4)
(9, 11)
(11, 9)

Answers

Answer:

Hence, the two equations intersect at:

(4,3)

Step-by-step explanation:

We are given:

A pair of equations:

3x − y = 9

y = −2x + 11

now, on graphing these equations.

as we can clearly see from the graph the two lines intersect at (4,3)

Hence, the two equations intersect at:

(4,3)
3x − y = 9
y = −2x + 11

3x − (−2x + 11) = 9
3x + 2x - 11 = 9
5x = 9 + 11
5x = 20
x = 4

y = −2x + 11 = -2*4+11 = 3

(4, 3)

Four less than the sum of a number and 7 is eight more than twice that number. find the number.

Answers

Answer:

-5

Step-by-step explanation:

To find the number, let's break down the problem step by step.

First, let's assign a variable to represent the unknown number. Let's call it "x."

According to the problem, "four less than the sum of a number and 7" can be written as "(x + 7) - 4."

Next, the problem states that this expression is "eight more than twice that number." So, we can write this as "2x + 8."

Now, we can set up an equation based on the information given:

(x + 7) - 4 = 2x + 8

Let's solve this equation to find the value of x.

First, let's simplify the left side of the equation:

x + 7 - 4 = 2x + 8

x + 3 = 2x + 8

Next, let's isolate the variable by subtracting x from both sides:

x - x + 3 = 2x - x + 8

3 = x + 8

To isolate x, we need to get rid of the 8 by subtracting it from both sides:

3 - 8 = x + 8 - 8

-5 = x

Therefore, the number is -5.

To check our answer, let's substitute -5 into the original equation and see if it holds true:

( -5 + 7) - 4 = 2(-5) + 8

2 - 4 = -10 + 8

-2 = -2

The equation holds true, which confirms that the number is indeed -5.
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