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1 year ago

10

The graphs below have the same shape. The equation of the blue graph is f(x)=x^2. Which of these is the equation of the red grap

h, g(x)?

1 answer:

blagie [28]1 year ago

4 0

We know that
the vertex in f(x) is the point (0,0)
and
the vertex in g(x) is the point (0,5)

therefore
(x,y) in f(x) becomes -------> (x,y+5) in g(x)
g(x)---------> f(x)+5

g(x)=x²+5

the answer is
g(x)=x²+5

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In this triangle, what is the value of x? Enter your answer, rounded to the nearest tenth, in the box. x = A right triangle with

algol [13]

Answer:

The measure of angle x is $26.1\°$

Step-by-step explanation:

In this problem we know that

The tangent of angle x is equal to divide the opposite side angle x to the adjacent side angle x

$tan(x)=\frac{26}{53}$

$x=arctan(\frac{26}{53})=26.1\°$

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1 year ago

After you multiply a number by 9 and subtract the product from 300, the difference will be 183. Find the number.

Anuta_ua [19.1K]

Answer:

the answer is 13 :)

Step-by-step explanation:

300-9x = 183

or, -9x = 183-300

or, -9x = -117

or, 9x = 117

or, x = 117÷9

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2 years ago

Read 2 more answers

At a large high school 40 percent of the students walk to school, 32 percent of the students have been late to school at least o

tatyana61 [14]

Answer:

Option b

Step-by-step explanation:

Given that at a large high school 40 percent of the students walk to school, 32 percent of the students have been late to school at least once, and 37.5 percent of the students who walk to school have been late to school at least once.

Proportions of Students coming late to school = coming by walk and late to school + coming by other means and late to school = 0.32 (given)

Proportions of students coming late atleast once and by walk

= 40% * 375%

= $0.4(0.375)\\=0.15$

the probability that the student selected will be one who both walks to school and has been late to school at least once

=0.15

(option b)

7 0

1 year ago

(03.02 HC)Amy, Dan, and Mike are competing in a cooking competition. They all used different amounts of milk from a container ho

ivolga24 [154]

Mike used the most milk because .5 is 50% which is 3 gallons out of the container dan used 14% of the milk and amy used 13% which means amy used the least and mike used the most.

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2 years ago

Read 2 more answers

Circular tracts of land with diameters 900 meters, 700 meters and 600 meters are tangent to each other externally. There are hou

Rudik [331]

Answer:

$\alpha=69.28^o$

$\beta=61.26^o$

$\gamma=49.46^o$

<em /> $A=227980.26\ m^2$ <em />

Step-by-step explanation:

<u>Triangle Solving</u>

If we had a triangle will its three sides of known length, we can solve for the rest of the parameters of the triangle, i.e. the area, perimeter and internal angles.

The three circles have diameters 900 m, 700 m and 600 m and are tangent to each other externally. The distances from their centers (where houses are located) are the sum of each pair of the radius of the circles. Thus, the sides of the triangle are

$x=450+350=800$

$y=450+300=750$

$z=350+300=650$

The internal angles can be computed by using the cosine's law

$x^2=y^2+z^2-2yzcos\alpha$

$y^2=x^2+z^2-2xzcos\beta$

$z^2=x^2+y^2-2xycos\gamma$

Where \alpha, \beta and \gamma are the opposite angles to x, y and z respectively. Solving for each one of them:

$\displaystyle cos\alpha=\frac{y^2+z^2-x^2}{2yz}$

$\displaystyle cos\alpha=\frac{750^2+650^2-800^2}{2\cdot 750\cdot 650}$

$cos\alpha=0.3538$

$\alpha=69.28^o$

Similarly

$\displaystyle cos\beta=\frac{x^2+z^2-y^2}{2xz}$

$\displaystyle cos\beta=\frac{800^2+650^2-750^2}{2\cdot 800\cdot 650}$

$cos\beta=0.4808$

$\beta=61.26^o$

The other angle is computed now

$\displaystyle cos\gamma=\frac{x^2+y^2-z^2}{2xy}$

$\displaystyle cos\gamma=\frac{800^2+750^2-650^2}{2\cdot 800\cdot 750}$

$cos\gamma=0.65$

$\gamma=49.46^o$

The area can be found by

$\displaystyle A=\frac{1}{2}x.y.sin\gamma$

$\displaystyle A=\frac{1}{2}\cdot 800\cdot 750\cdot sin49.46^o$

$A=227980.26\ m^2$

8 0

2 years ago