Priya has a recipe for banana bread. She uses 17 1/2 cups of flower to make 5 loaves of bread Andre will follow the same recipe.
1 answer:
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Part 1) <span>Given the two points (-24,7) and (30,25) a. What is an equation passing through the points?
step 1
find the slope m
m=(y2-y1)/(x2-x1)----></span>m=(25-7)/(30+24)----> m=18/54----> m=1/3
step 2
wit m=1/3 and the point (30,25)
find the equation of the line
y-y1=m*(x-x1)-----> y-25=(1/3)*(x-30)--->y=(1/3)*x-10+25
y=(1/3)*x+15
the answer Part 1) is
y=(1/3)*x+15
Part 2) <span>Is (51, 33) also on the same line?
</span>if the point (51.33) is on the line y=(1/3)*x+15
then
for x=51 the value of y must be 33
for x=51
y=(1/3)*51+15----> y=17+15----> y=32
32 is not 33
so
<span>the point does not belong to the given line
</span>
the answer Part 2) is
the point does not belong to the given line
see the attached figure
step 1
find the slope m
m=(y2-y1)/(x2-x1)----></span>m=(25-7)/(30+24)----> m=18/54----> m=1/3
step 2
wit m=1/3 and the point (30,25)
find the equation of the line
y-y1=m*(x-x1)-----> y-25=(1/3)*(x-30)--->y=(1/3)*x-10+25
y=(1/3)*x+15
the answer Part 1) is
y=(1/3)*x+15
Part 2) <span>Is (51, 33) also on the same line?
</span>if the point (51.33) is on the line y=(1/3)*x+15
then
for x=51 the value of y must be 33
for x=51
y=(1/3)*51+15----> y=17+15----> y=32
32 is not 33
so
<span>the point does not belong to the given line
</span>
the answer Part 2) is
the point does not belong to the given line
see the attached figure
Answer:
Area(A)=Area(C)=
Area(B)=
Step-by-step explanation:
We begin with finding the angles a and b that from the drawing attached you can see that a=b.
Now, the sum of the internal angles of a rhomboid is equal to 360 degrees, with that we have:
120+120+a+b=360
240+2a=360
2a=120
a=60=b
Next, in the image you can see that the lines coming from the angle at the top 120 degrees vertex, divide the opposite sides by half, thus making two triangles with one side of 6 in and another of 3 in.
We can say from the drawing as well:
Area(A)+Area(B)+Area(C)=Area(rhomboid)
But, we can also say that Area(A)=Area(C)
So, starting with Area(A)
Area(A)=Area(triangle)==
=
We can then calculate the area B, a rhomboid, or better, take the Total area of the figure and subtract the area of the two triangles.
Area(B)=Area(rhomboid)-Area(A)-Area(C)
Area(rhomboid)=b*h where b=6in and h is the perpendicular distance from the base to the top.
The 30 degrees come from: 120-30-60=30, since the latitudes split the 120 angle in two equal parts and one that is the half of the obtuse angle.
Area(rhomboid)=5.20*6=
Area(B)=Area(rhomboid)-Area(A)-Area(C)=-
-
=
