Answer: The number is 10.
Step-by-step explanation:
Let x be the required number.
Given: 11 is multiplied to the number then 24 is subtracted from that and the result is 86.
The mathematical statement for the given situation,
11x -24 = 86
To solve the equation, Add 24 on both sides , we get
11x - 24 +24 = 86+24
⇒ 11x = 110
Divide both sides by 11, we get
x = 10
hence, the number is 10.
Answer: The Answer is A
Step-by-step explanation:
The following equations is equivalent to the slope formula is A) y₂= m(x₂-x₁) + y₁.
<h3>What is slope?</h3>
The angle of inclination of a line with respect to the horizontal is quantified. In analytical geometry, a line, ray, or line segment's slope is the proportion of the vertical to the horizontal distance between any two points ("slope equals rise over run").
<h3>What is equation?</h3>
Two expressions are combined by the equal sign to form a mathematical statement known as an equation. For instance, a formula might be 3x - 5 = 16. We discover that the variable x has a value of 7 after solving this equation.
Given that,
Take a look at the formula below for the slope between two coordinate locations, m.
m = 
Here, slope is
m = 
Where m is the slope and y₁ and y₂ and x₁ and x₂ are coordinates of the axis.
The first step is to multiply x₂-x₁ on both sides in order to acquire y₂ on its own.
so you must add y₁ to both sides in order to get y₂ alone.
m(x₂-x₁) +y₁ = y₂.
Therefore, the following equations is equivalent to the slope formula is A) y₂ = m(x₂-x₁) + y₁.
To know more about the slope, visit:
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(1.) 35-3m
m= 4
35-3m
= 35-3(4)
= 35-12 (do the multiple/division first before doing the addition/subtraction)
= 23
C. 23
(2.) 1 + x ÷ 5
x = 80
1 + x ÷ 5
= 1+80÷5
= 1+16
= 17
(3.) mx-y
m=5, x=3, and y=8
mx-y
= 5(3)-8
= 15-8
= 7
(4.) 3a+15+bc−6
a=7, b=3, and c=15
3a+15+bc-6
= 3(7)+15+3(15)-6
= 21+15+45-6
= 75