Answer:
22
Step-by-step explanation:
This is a right angle so the sum of those would be equal to 90 degrees
x + 7 + 3x - 5 = 90 add like terms
4x + 2 = 90 subtract 2 from both sides
4x = 88 divide both sides by 4
x = 22
The expression for 7 less than the product of a number and 8, increased by a number multiplied by 2 is 8n-7 +2n
Given :
7 less than the product of a number and 8, increased by a number multiplied by 2
We need to write the given statement in an expression
Lets 'n' be the unknown number
the product of a number and 8
Product means multiplication
the product of a number and 8 mean n times 8 that is 8n
7 less than the product of a number and 8, subtract 7 from 8n
Expression becomes 8n-7
This is increased by a number multiplied by 2
number multiplied by 2 is 2n
So the final expression for the given statement is 8n-7 +2n
Learn more : brainly.ph/question/1023996
Answer:
Step-by-step explanation:
Graph the parabola using the direction, vertex, focus, and axis of symmetry.
Direction: Opens Up
Vertex:
(
1
,
−
2
)
Focus:
(
1
,
−
23
12
)
Axis of Symmetry:
x
=
1
Directrix:
y
=
−
25
12
x
y
−
1
10
0
1
1
−
2
2
1
3
10
Answer:
y=3x+4
Step-by-step explanation:
The equation of the straight line that passes through (-3,-5) with slope 3 can be found using
where m=3 is the slope .
We substitute the slope to get:
We substitute the point to find b.
The equation of the straight line is:
The angle of elevation that the instruments have to record to be at the correct height is given as 79°
<h3>How to solve for the angle of elevation</h3>
We have 2x + 70 = 180
We have to find the value of x
2x = 110
x = 55
y/sin x = 225/sin70
This is the use of sine rule
From here we would have
y = 225(sinx/sin70)
Remember x = 55
y = 225(sin55/sin70)
y = 196.1378
tanθ = 1000/y
tan θ = 1000/196.1378
tanθ = 5.098
θ = tan⁻¹5.098
= 78.90°
Hence the conclusion is that the angle of elevation has to be 78.9 degrees for it to be at the correct height.
Read more on the angle of elevation here:
brainly.com/question/88158
#SPJ1
