Answer:
Yes they will intersect
Function 1= F(X)=2X+5
Function 2=H(X)=3X+2
INTERSECT=(3,11)
Step-by-step explanation:
First of all, we create 2 LINEAR function, i created the function f(x)=2x+5 and the function h(x)=3x+2, both are linear(without a quadratic term). Then
you replace the x for a number:
Table 1 (F(X)=2X+5) Table 2 (H(X)=3X+2)
X=1----->Y=2+5=7 X=1------>Y=3·1+2=5
X=2---->Y=2·2+5=9 X=2----->Y=3·2+2=8
X=3---->Y=3·3+5=11 X=3----->Y=3·3+2=11
With both tables of data we can see that in the X=3/Y=11 point this two linear functions will intersect so the answer is that the two functions will intersect at (3,11)----->(X,Y)
Answer:
130 miles
Step-by-step explanation:
A scale drawing is a reduced form in terms of dimensions of an original image / building / object
the scale drawing is usually reduced at a constant dimension
scale of the drawing = original dimensions / dimensions of the scale drawing
Actual distance = 31/4 x 40
convert 31/4 to an improper fraction
to convert to improper fraction, take the following steps :
1. Multiply the whole number by the denominator
2. Add the numerator to the answer gotten in the previous step
3. divide the number gotten in the previous step by the denominator
13/4 x 40 = 130 miles
Answer:
Part A: 12 + X
Part B: 25 + 2
Step-by-step explanation:
First thing you need to know is the
difference between an expression and an
equation. An expression does not have an
equal sign, while an equation does.
To write an expression for Part A, first write
the 12 (the amount he got on Saturday).
Then, we need to write the addition sign (to
find the total amount Bill earned). We don't
know how much Bill earned on Sunday, so
use any variable (I used x). Because we're
writing an expression, do not write an
equal sign.
To write an expression for Part B, first write
the amount of dogs his friend Steve walked
using a variable because we don't know
that number (I used the variable s). Then,
since Bill walked 2 more than twice as
many dogs Steve walked, write the s
multiplied by the 2 or just 2s. Now add the
addition sign (to find the total amount Bill
walked). Add a 2 because Bill walked 2
more dogs than twice as many Steves walked.
Hope it helps!
9514 1404 393
Answer:
1. ∠EDF = 104°
2. arc FG = 201°
3. ∠T = 60°
Step-by-step explanation:
There are a couple of angle relationships that are applicable to these problems.
- the angle where chords meet is half the sum of the measures of the intercepted arcs
- the angle where secants meet is half the difference of the measures of the intercepted arcs
The first of these applies to the first two problems.
1. ∠EDF = 1/2(arc EF + arc UG)
∠EDF = 1/2(147° +61°) = 1/2(208°)
∠EDF = 104°
__
2. ∠FHG = 1/2(arc FG + arc ES)
128° = 1/2(arc FG +55°) . . . substitute given information
256° = arc FG +55° . . . . . . multiply by 2
201° = arc FG . . . . . . . . . subtract 55°
__
3. For the purpose of this problem, a tangent is a special case of a secant in which both intersection points with the circle are the same point. The relation for secants still applies.
∠T = 1/2(arc FS -arc US)
∠T = 1/2(170° -50°) = 1/2(120°)
∠T = 60°
Answer:
95°
Step-by-step explanation:
(x+49)+(x+59)=180
2x+108=180
2x=72
x=36
36+59=95
