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3 years ago

What is the point slope form of f(-3)=16 and m=25, Explain please

Mathematics

1 answer:

Firlakuza [10]3 years ago

8 0

Answer:

$y - 16 = 25(x + 3)$

Step-by-step explanation:

The equation of a straight line in point slope form is given by:

$y-y_1=m(x-x_1)$

We were given that f(-3)=16, this means that the point (-3,16) is a point on this line.

Also the slope of this line is given as m=25.

We substitute the points and the slope to get:

$y - 16 = 25(x - - 3)$

This simplifies to:

$y -16 = 25(x + 3)$

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On a coordinate plane, a shape is plotted with vertices of (3, 1), (0, 4), (3, 7), and (6, 4). what is the area of the shape if

QveST [7]

Let
<span>A (3, 1)
B (0, 4)
C(3, 7)
D (6, 4)

step 1
find the distance AB
d=</span>√[(y2-y1)²+(x2-x1)²]------> dAB=√[(4-1)²+(0-3)²]-----> dAB=√18 cm

step 2
find the distance CD
d=√[(y2-y1)²+(x2-x1)²]------> dCD=√[(4-7)²+(6-3)²]-----> dCD=√18 cm

step 3
find the distance AD
d=√[(y2-y1)²+(x2-x1)²]------> dAD=√[(4-1)²+(6-3)²]-----> dAD=√18 cm

step 4
find the distance BC
d=√[(y2-y1)²+(x2-x1)²]------> dBC=√[(7-4)²+(3-0)²]-----> dBC=√18 cm

step 5
find slope AB and CD
m=(y2-y1)/(x2-x1)
mAB=-1
mCD=-1
AB and CD are parallel and AB=CD

step 6
find slope AD and BC
m=(y2-y1)/(x2-x1)
mAD=1
mBC=1
AD and BC are parallel and AD=BC
and
AB and AD are perpendicular
BC and CD are perpendicular

therefore
the shape is a square wit length side √18 cm

area of a square=b²
b is the length side of a square
area of a square=(√18)²------> 18 cm²

the answer is
18 cm²

see the attached figure

6 0

3 years ago

What is the least common multiple and greatest common factor of 24 and 21

Iteru [2.4K]

LCM: <span>2 x 2 x 2 x 3 x 7 = 168</span>

GCF: 3

7 0

3 years ago

Can someone help please? this is due soon. ill give brainliest

Iteru [2.4K]

Not sure but I think it’s B

4 0

2 years ago

Read 2 more answers

Good afternoon help me 5 questions is 50 points and answer them all

Paraphin [41]

The first one is the last answer because you subtract 18 and when you divide you change the inequality symbol

the second one is the last answer for the same reason

the 3rd one is x<-1.25

the 4th one is x<8/15

5 0

2 years ago

Lisa wrote the expression (3x + 6x) - 2(x + 1) + 5. She simplified the expression using the following steps:

Ivanshal [37]

Answer:

Step 1. Should be 3(x +2x) -2(x +1) +5 . . .

or . . . 3x(1 +2) -2(x +1) +5 . . .

or . . . 9x -2(x+1) +5

Step-by-step explanation:

Lisa apparently failed to realize that both terms inside the first set of parentheses have 3x as a factor. They are like terms, so could be combined directly. If Lisa really wants to factor out 3 or 3x, she could do so and then combine the remaining factors at another step.

6 0

3 years ago

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