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olya-2409 [2.1K]
3 years ago
9

If triangle DEF has a 90° angle at vertex E, which statements are true? Check all that apply.

Mathematics
1 answer:
jeka57 [31]3 years ago
3 0
There are two statements that are true: the angle at vertx D is acute and triangle DEF is a right triangle.
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Solve the equation square root of x plus three plus four equals five for the variable. Show each step of your solution process
alekssr [168]

Answer:

x=-2

Step-by-step explanation:

The given expression is

\sqrt{x+3}+4=5

We group the constant terms on the right hand side to obtain;

\sqrt{x+3}=5-4

\Rightarrow \sqrt{x+3}=1

We square both sides of the equation to remove the square root.

\Rightarrow (\sqrt{x+3})^2=1^2

x+3=1

This will simplify to;

x=1-3

x=-2

4 0
3 years ago
Read 2 more answers
Half of sarans wire is equal to 2/5 of daniel's. chris has 3 times as much as sarah. in all, their wire is 6 feet. how long is s
Pepsi [2]
You need to make a series of equations from what you are given first. I am going to use the first letter of each of the names to represent the length of that persons wire.
1/2s=2/5d
3c=s
s+d+c=6 ft

Okay. Now you can combine the first two equations knowing what s equals:
1/2(3c)=2/5d
d=15c/4

Now you have d=15c/4 and s=3c, so you can replace d and s in the third equation.

3c+15c/4+c=6

Then solve for c and plug it into the equation 3c=s to find the length of sarah's wire.
7 0
3 years ago
Evaluate the function f (x)= x squared -4x+1 at the given values of the independent variable and simplify.
Ivan
<h3>Given</h3>

... f(x) = x² -4x +1

<h3>Find</h3>

... a) f(-8)

... b) f(x+9)

... c) f(-x)

<h3>Solution</h3>

In each case, put the function argument where x is, then simplify.

a) f(-8) = (-8)² -4(-8) +1 = 64 +32 + 1 = 97

b) f(x+9) = (x+9)² -4(x+9) +1

... = x² +18x +81 -4x -36 +1

... f(x+9) = x² +14x +46

c) f(-x) = (-x)² -4(-x) +1

... f(-x) = x² +4x +1

8 0
3 years ago
Which situation can be represented by the inequality?
alexgriva [62]
<span>4 mins ago - Which situation can be represented by the inequality? x<3 The movie is longer than 3 h. The ceiling is lower than 3 m. The backpack is heavier than 3 kg. The child is 3 years old. teamlargemouthox7s6p · Answer · Mathematics; 5 points; 42 seconds ago. Is table F a Portional relationship or is table G?</span><span>

</span>
8 0
2 years ago
Read 2 more answers
A geologist has ten rock samples in a bag and is going to use eight for class. What is the probability that the first three pull
Neporo4naja [7]

Answer:

1/56 chance

Step-by-step explanation:

3/8 x 2/7 x 1/6 = 1/56

5 0
3 years ago
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