(-8,-9)
Explanation:
y=2x+7 ; y=x-1
x-1=2x+7
x-1-7=2x+7-7
x-8=2x
x-x-8=2x-x
x=-8
y=x-1
y=-8-1
y=-9
Answer:
D) q + d = 330
0.25q + 0.1d = 6
Step-by-step explanation:
Let q= numbers of quarters
d = number of dimes
q + d = 33 ...........(1)
q = 33 - d
xq + yd = 6 ..........(2)
We will consider the options to know the correct answer
From option A
q +d = 6
25q + 10d = 33
This is wrong
Option B
q + d = 60
0.25q + 0.1d = 33
This is also wrong
Option C
q+d = 33
25q + 10d = 6
Put q = 33 -d in equation 2
25(33 - d) + 10q = 6
825 - 25d + 10d = 6
825 - 15d = 6
-15d = 6-825
-15d = -819
d = -819/-15
d= 54.6
This is also wrong because d exceeds the combination.
Option D
q+d = 33
0.25q + 0.1d = 6
Put q = 33 -d in equation 2
0.25(33 - d) + 0.1d = 6
8.25 - 0.25d + 0.1d = 6
8.25 - 0.15d = 6
-0.15d = 6 - 8.25
-0.15d = -2.25
d = -2.25/ -0.15
d = 15
q = 33 - 15
q = 18
This is correct
The 3 digit number that is FUN is; 678
<h3>What is the combination of the numbers?</h3>
We are told that MATH is 3 times the word "FUN".
We are also told that each letter is assigned a unique number and that no leading digit can be zero and that the digits must be consecutive.
Now, product of 789 by 3 gives;2367.
Each letter should have a unique letter and so that is not the correct sequence.
Let us try the product of 678 by;
678 * 3 = 2034
This fulfils the condition of the question because each letter has a unique digit, the lead digit is not zero and the numbers are consecutive numbers in increasing order.
Thus, the 3-digit number that is FUN is 678.
Read more about combination of numbers at; brainly.com/question/12468032
<h3>Answer:</h3>
2√7 ft ≈ 5.2915 ft
<h3>Explanation:</h3>
A diagram can be helpful.
Let M and N be the midpoints of AB and BC, respectively. Then ∆CMB is an isosceles triangle with 30° base angles. ∆CMA is an equilateral triangle.
Point G is 2/3 of the distance from any vertex to the midpoint of the opposite side for any median. Considering median CM, 2/3 of its length is 4, so its full length must be 4×(3/2) = 6. Then MB = MA = AC = 6. The proportions in 30°-60°-90° triangle ABC are such that CB = 6√3, so CN = 3√3.
By the Pythagorean theorem, ...
... AN² = AC² +CN²
... AN² = 6² +(3√3)² = 63
... AN = √63 = 3√7
So, AG = (2/3)(AN) = 2√7 . . . . . feet
Answer:
See Below
Step-by-step explanation:
There Are Multiple Ways Of Doing This.
- Calculate The Angle, If Possible.
- Measure The Sides.
This Is All I Am Able To Think Of At The Moment.