<h2>Answer:</h2>
5x + 7y = 17 ....(1)
x + 4y = 19 .....(2)
<u>From equation 2</u>
x + 4y = 19
x = 19 - 4y
<u>Putting the value of x in Equation (1)</u>
5(19 - 4y) + 7y = 17
95 - 20y + 7y = 17
- 20y + 7y = 17 - 95
-13y = -78
y = 
y = 6
<u>Now, putting the value of y in equation </u><u>(</u><u>2</u><u>)</u>
x + 4y = 19
x + 4(6) = 19
x + 24 = 19
x = 19 - 24
x = -5
<u>Therefore, the value of y is 6 and value of x is -5</u>
The vertex angle bisector divides the triangle into two congruent right triangles. The sine of half of the vertex angle will be half of the base divided by the side (from the definition of the sine of an angle). Then the total vertex angle is ...
α = 2×arcsin(3.5/5) ≈ 88.9°
_____
Using the Law of Cosines, the vertex angle can be found as
arccos((7^2 -5^2 -5^2)/(-2*5*5)) = arccos(1/50) ≈ 88.9°
Pam and her brother both open savings accounts. each begin with a
balance of $0. For every $2 is that Pam saves in her account her brother
saves $5 in his account
P:bro=2:5
when P=40 what is bro?
2/5=40/b
times 5b both sides
2b=200
divide 2
b=100
bro has $100
not sure what tape diagram is
If you're factoring, your answer is
(4x - 3)(4x + 5)
You'll work it out this way:
16x^2 + 8x - 15
Since there's no GCF here, you multiply the first and third terms, giving you -240. Your next step is to find two numbers that have a sum of 8 and a product of -240. These numbers are 20 and -12. Plug those in and you've got:
16x^2 + 20x - 12x - 15
From here you divide it into two binomials. These are (16x^2 + 20x) and (-12x - 15).
When you take out the greatest common factors (4x and -3), they become:
4x(4x + 5) - 3(4x + 5)
Then you group what's outside of the parentheses together (4x - 3)
And bring what's inside of the parentheses down (4x + 5).
This brings your answer to
(4x - 3)(4x + 5)
