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2 years ago

Jacob is 3 years younger than his friend Noah. Noah is x years old.

Mathematics

1 answer:

irinina [24]2 years ago

5 0

Answer:

x + 4

Step-by-step explanation:

Noah's age = x

Jacob's age = x – 3

In seven years,

Jacob's age = x – 3 + 7

Jacob's age = x + 4

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Recall that two angles are complementary if the sum of their measures is 90°. Find the measures of two complementary angles if o

nordsb [41]

Answer:

18° and 72°

Step-by-step explanation:

The angle measures are unknown, so they will be represented with the variable, x. Since, one angle is 4 times the other, this will be represented with 4x.

To find complementary angles, they are added together and equal 90. So let's create an equation.

x + 4x = 90

Now solve for x.

5x = 90

5x/5 = 90/5

x = 18

One angle is 18°.

Now find the second angle.

plugin 18 for x and multiply

4(18) = 72

6 0

2 years ago

Hi! please help i’ll give brainliest

inysia [295]

Answer:

give brainliest

Step-by-step explanation:

then i help

4 0

3 years ago

Write the equation of the circle below to complete the square. Also determine the area of the circle.

diamong [38]

Answer: $(x-7)^2+(y+2)^2=11^2$ ; $A=121\pi$

Step-by-step explanation:

I have never done a problem like this, so this is my first time attempting it.

The standard form for the equation of a circle is:

$(x-a)^2+(y-b)^2=r^2$

Begin by grouping the 'x' terms and 'y' terms:

$(x^2-14x)+(y^2+4y-68)=0$

Complete the square for the second polynomial:

$(\frac{b}{2} )^2=(\frac{4}{2} )^2=4$

$(x^2-14x)+(y^2+4y+4-4-68)=0$

$(x^2-14x)+(y^2+4y+4)-4-68=0$

$(x^2-14x)+(y^2+4y+4)-72=0$

$(x^2-14x)+(y+2)^2-72=0$

Do the exact same process with the other polynomial:

$(x^2-14x-72)+(y+2)^2=0$

Complete the square:

$(\frac{14}{2} )^2=49$

$(x^2-14x+49-49-72)+(y+2)^2=0$

$(x^2-14x+49)-49-72+(y+2)^2=0$

$(x^2-14x+49)-121+(y+2)^2=0$

$(x-7)^2-121+(y+2)^2=0$

Bring the 121 to the other side to get:

$(x-7)^2+(y+2)^2=121$

$(x-7)^2+(y+2)^2=11^2$

The above expression is the equation of our circle in standard form. It is centered at the coordinates (7, -2) and has a radius of 11 units. The area of a circle if given by:

$A=\pi r^2=121\pi$

8 0

2 years ago

I WILL GIVE BRAINLIEST!! PLEASE HURRY

crimeas [40]

Answer:

B. It rejects the concept of social class in the American system.

Explanation:

The Enlightenment of the American Colonies was a period in time where the people were encouraged to become their own nation. This period was represented by many speeches and pieces of writing that boasted freedom of speech, equality, freedom of the press, and religious tolerance.

This specific piece of writing focuses on the aspect of all people in the nation of America having protected freedoms and rights to become their own people.

5 0

2 years ago

Can you please help me?

Tanya [424]

Answer:

A, B and E

Step-by-step explanation:

A proportional relationship has the form

y = kx ← k is the constant of proportionality

The only equations in this form are

A, B and E

3 0

3 years ago