Is (1, -7) a solution of y=x-8? Νο Yes

Mathematics

2 answers:

olchik [2.2K]3 years ago

6 0

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aivan3 [116]3 years ago

4 0

Answer:

Yes

Step-by-step explanation:

You just plug in the values. $-7 = 1-8$ . You plug in 1 for x, and -7 for y

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Help me with 22 and 23

cricket20 [7]

22.

pythagorean theorem says legs a and b and hypotenuse c of a right triangle are related via the equation c²=a²+b². in other words, adding the sum of the squares of the legs get you the square of the hypotenuse

if the hypotenuse is 4 meters long, c = 4.

if one leg is 3 meters long, we can choose either a or b to be 3. it does not really matter. let us choose a = 3. now we have to find b.

if we have c²=a²+b², we can solve for b.

subtract a² both sides to get c²-a²=b², and then square root both sides to get

b = √(c²-a²)

plugging in our info we get

b = √(4²-3²) = √(16 -9) = √7

so the answer is √7 meters for 22

two triangles are similar, then the proportion of their sides are the same. the propotion between the smaller triangles' hypotenuse and 2cm leg is 5cm/3cm.

notice how the bigger triangle just have a doubled hypotenuse. therefore, the bigger triangle's x and y are just the corresponding smaller triangle values doubled.

x = 6 and y = 8

3 0

3 years ago

1.) Convert pounds to ounces.

matrenka [14]

1) 201.6 ounces. (16 ounces in 1 lb)

2) 3090 grams (1000g in 1 kg)

3)8820 in (36in in 1 yd)

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6 0

3 years ago

The equation of the parabola is (y-1)^2 = 16(x+3)

Mandarinka [93]

We know that

if the y terms is squared so it opens left or right

Is a Horizontal Parabola, the equation is of the form
(y-k)²=4(p)(x-h)
vertex is (h,k)
and
p is distance from focus to vertex, also distance from vertex to directrix
if p>0, then it opens to the right and directrix is to the left of vertex
if p<0, then it opens to the left and directrix is to the right of vertex

so
(y-1)²=4(4)(x-(-3))
vertex is (-3,1)
4>0 so directrix is to left of vertex
left is in x direction
-3-4=-7
directrix is x=-7

the answer is
x=-7

see the attached figure