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mote1985 [20]
2 years ago
11

Solve the equation for x.

Mathematics
2 answers:
anzhelika [568]2 years ago
8 0
32x+64 = 160
32x = 96
x = 3
Afina-wow [57]2 years ago
6 0
The Answer for the given equation is 3
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Write an equation in slope-intercept form of the line perpendicular to y = 3x + 4 that passes through the point (3, 4).
Anika [276]

<u>Answer:</u>

The correct answer option is D. y= -\frac{1}{3} x+5.

<u>Step-by-step explanation:</u>

We are to find the equation of a line which is perpendicular to the following line and passes through the point (3, 4):

y = 3x + 4

We know that an equation perpendicular to another equation has a slope which is the negative reciprocal of the first equation.

So our required slope is -\frac{1}{3}

Finding the y-intercept:

y=mx+c

4=-\frac{1}{3}(3)+c

c=5

Therefore, the equation of the line perpendicular to y = 3x + 4 and passing through the point (3, 4) is y= -\frac{1}{3} x+5.

5 0
2 years ago
Read 2 more answers
Triangle FGH with vertices F(1,8), G(5,7), and H(2,3) in the line y=x.
sergiy2304 [10]
Check Hathaway they will
4 0
1 year ago
Read 2 more answers
In the isosceles △ABC m∠ACB=120° and AD is an altitude to leg BC . What is the distance from D to base AB , if CD=4cm?
7nadin3 [17]

Correct answer is: distance from D to AB is 6cm

Solution:-

Let us assume E is the altitude drawn from D to AB.

Given that m∠ACB=120° and ABC is isosceles which means

m∠ABC=m∠BAC = \frac{180-120}{2}=30

And AC= BC

Let AC=BC=x

Then from ΔACD , cos(∠ACD) = \frac{DC}{AC} =\frac{4}{x}

Since DCB is a straight line m∠ACD+m∠ACB =180

                                              m∠ACD = 180-m∠ACB = 60

Hence cos(60)=\frac{4}{x}

          x=\frac{4}{cos60}= 8

Now let us consider ΔBDE, sin(∠DBE) = \frac{DE}{DB} =\frac{DE}{DA+AB} = \frac{DE}{4+8}

DE = 12sin(30) = 6cm

7 0
2 years ago
There are three choices of jellybeans - grape ,cherry and orange. if the probability of getting a grape is 3/10 and the probabil
muminat

When looking at probabilities, two ideas are always true.

1) Any probability is more than 0.

2) The sum of all the probabilites is 1.

Idea #2 works here. (For example, think of how a die has six things and the probability of each is 1/6. So 1/6 + 1/6 + 1/6 + 1/6 + 1/6 + 1/6 = 1.) Let G = the probability of grape, C = probability of cherry and O = the probability of orange. From Idea #2, G + C + O = 1. Since we know G and C, then

3/10 + 1/5 + O = 1.

3/10 + 2/10 + O = 1

5/10 + O = 1

O = 5/10

Thus, the probability of an orange jelly bean is 5/10 = 1/2.

6 0
1 year ago
Kelly ordered 10 pizzas for a party. 30% of the pizzas have 12 slices each. The remaining 70% of the pizzas have 8 slices each.
abruzzese [7]

Answer:

The total number of slices is 92

Step-by-step explanation:

we know that

Kelly ordered 10 pizzas for a party

step 1

30% of the pizzas have 12 slices each

so

The number of pizzas for 30% is equal to

0.30(10)=3 pizzas

The number of slices is

3(12)=36 slices

step 2

70% of the pizzas have 8 slices each

so

The number of pizzas for 70% is equal to

0.70(10)=7 pizzas

The number of slices is

7(8)=56 slices

step 3

Find the total number of slices

36+56=92 slices

8 0
2 years ago
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