Answer:
x = 7
Step-by-step explanation:
-3 (x - 1) + 8 (x - 3) = 6x + 7 - 5x
-3 (x - 1) + 8 (x - 3) = 6x - 5x + 7
-3 (x - 1) + 8 (x - 3) = x + 7
-3x + 3 + 8x - 24 = x + 7
-3x + 8x + 3 - 24 = x + 7
5x - 21 = x + 7
+21 +21
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5x = x + 28
-x -x
---------------------------------------------------
4x = 28
/2 /2
----------------------------------------------------
x = 7
The correct answer is Option A , D , E.
<h3>
What is meant by ratio?</h3>
A ratio in mathematics is a comparison of two or more numbers that shows how big one is in comparison to the other.
<h3>
What is meant by ratio in simplest form?</h3>
Ratio in it's simplest form means when the ratio can't be simplified anymore by cancelling out the common factors.
The ratio in Option(A) can't be simplified anymore because 29 is a prime number.
The ratio in Option(B) can be simplified to 1 / 7.
The ratio in Option(C) can be simplified to 5 / 2.
The ratio in Option(D) can't be simplified.
The ratio in Option(E) can't be simplified because 19 is prime number.
Hence, the correct answer is Option A , D , E.
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Answer: Choice A) 3x+4y = 12
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y = (-3/4)x + 3
4*y = 4*((-3/4)x+3) ... multiply both sides by 4 to clear out the fraction
4y = -3x+12 ... distribute and multiply
4y+3x = -3x+12+3x ... add 3x to both sides
3x+4y = 12
Note: this is in standard form Ax+By = C where A = 3, B = 4 and C = 12.
Answer:
To the nearest tenth of a degree
∠E= 47.9°
Step-by-step explanation:
ΔDEF , let's recognize that it's a right angle triangle because of the presence of ∠F=90°.
Other important measurements are
DE = 82 feet, and EF = 55 feet.
We are to find ∠E
Let's find the missing side first
Side DF
DF² = DE² - EF²
DF²= 82²_55²
DF²=6724-3025
DF²= 3699
DF= 60.82 feet
Let's use the sine formula to look for the angle.
DF/sin ∠E= DE/sin 90
Sin 90= 1
DE= 82
DF= 60.82
Sin ∠E= DF/DE
Sin ∠E= 60.82/82
Sin ∠E= 0.7417
∠E= sin^-1 (0.7417)
∠E= 47.8764
To the nearest tenth of a degree
= 47.9°
The slope of Anya’s line on the graph is 3
<h3>How to determine the slope of the line?</h3>
The equation is given as:
(y−2)=3(x−1)
Remove brackets
y − 2 = 3x − 3
Add 2 to both sides
y = 3x − 1
A linear equation is represented as:
y = mx + c
Where m represents the slope;
By comparison, m = 3
Hence, the slope of Anya’s line is 3
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