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dalvyx [7]
3 years ago
12

1)Evaluate 2A - 3B for A = 7 and B = -2.

Mathematics
1 answer:
Gnom [1K]3 years ago
5 0
Hey Brion,

1) <span>Evaluate 2A - 3B for A = 7 and B = -2.
To solve this start by filling in the variables.
2(7) - 3(-2)

Now multiply, remember that a positive times a negative is a negative.
14 - (-6)

Finally, subtract. Remember, Keep, Change, Change (KCC). Keep the first number, change symbol (for subtraction use addition), and change the negative number to a positive number.
14 + 6 = 20

</span><span>2) If x = -3, then x 2-7x + 10 equals
Start by filling in the variables.
-3(2) - 7(-3) + 10

Now follow PEMDAS (Parentheses, Exponents, Multiplication & Division, Addition & Subtraction) to solve. Remember K.C.C (no.  1 above)
</span>-3(2) - 7(-3) + 10
<span>(-6) - (-21) + 10
(-6) + (21) + 10
15 + 10
25*****See NOTE!***
</span><span>_____________________________________________________________
Note: For #2 you may be missing a symbol between the first "x" and "2" because the answer I got above (25) is not one of your choices. Let me know what symbol is missing in the equation: </span><span>x 2-7x + 10, and I will help you solve it.</span>
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I need some help please
muminat
Answer: 113.0 ft (bottom right corner)

=====================================

Explanation:

The triangle has a horizontal leg of 220 ft and a vertical leg of x ft. We'll use the tangent rule to connect the opposite side and adjacent side

opposite side = x
adjacent side = 220
this is with the reference angle shown in the diagram

So,
tan(angle) = opposite/adjacent
tan(26) = x/220
220*tan(26) = x
x = 220*tan(26)
x = 107.301169 ... see note below
x = 107.3

Now that we know the approximate value of x, we add on 5.7 to get
x+5.7 = 107.3+5.7 = 113.0

note: make sure your calculator is in degree mode. The value is approximate to 6 decimal places

3 0
3 years ago
Is the following relation a function? (-2,3) (0,1) (5,3) (5,8) (7,5)
Rashid [163]
No it is not because for the x value of 5 there are two different y values.
5 0
3 years ago
The ratio of boys to girls in a local choir is 7:10. If there are 35 boys in the choir, how many girls are there?
erica [24]

Answer:

50 girls

Step-by-step explanation:

Given data

We have the ratio as

7:10

The total part = 7+10= 17

let the number of boys and girls be x

applying the part to all method

7/17= 35/x

cross multiply

7x= 35*17

7x=595

x=595/7

x= 85

Hence the number of girls is

=85-35

=50 girls

3 0
3 years ago
Slope intercept form of a line that has a slope of -3/4 and passes through (4, 3)
tia_tia [17]
<h3><u>Explanation</u></h3>
  • First Method

We have the given slope value and the coordinate point that the graph passes through.

y = mx + b

where m = slope and b = y-intercept. Substitute the value of slope in the equation.

y =  -  \frac{3}{4} x + b

We have the given coordinate point as well. After we substitute the slope, we substitute the coordinate point value in the equation.

3 =  -  \frac{3}{4} (4) + b \\

<u>Solve</u><u> </u><u>the</u><u> </u><u>equation</u><u> </u><u>for</u><u> </u><u>b-term</u>

3 =  - 3 + b \\ 3 + 3 = b \\ 6 = b

The value of b is 6. We substitute the value of b in the equation.

y =  -  \frac{3}{4} x + 6

  • Second Method

We can also use the Point-Slope form to solve the question.

y - y_1 = m(x - x_1)

Given the y1 and x1 = the coordinate point value.

Substitute the slope and coordinate point value in the point slope form.

y - 3 = -  \frac{3}{4} (x - 4)

<u>Simplify</u><u>/</u><u>Convert</u><u> </u><u>into</u><u> </u><u>Slope-intercept</u>

y =  -  \frac{3}{4} (x - 4) + 3 \\ y =  -  \frac{3}{4} x +  \frac{12}{4}  + 3 \\ y =  -  \frac{3}{4} x + 3 + 3 \\y =  -  \frac{3}{4} x + 6

<h3><u>Answer</u></h3>

<u>\large \boxed {y =  -  \frac{3}{4} x + 6}</u>

6 0
3 years ago
Use function notation to write y=-.2x-1 and build a table to find f(-1), f(0), f(10)
RSB [31]
Your answer would be F(0)=f(-1)
6 0
3 years ago
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