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xz_007 [3.2K]
2 years ago
13

What is the length of the hypotenuse, c? Round your answer to the nearest hundredth.

Mathematics
1 answer:
Afina-wow [57]2 years ago
5 0

Answer:

Step-by-step explanation:

By using the Pythagorean theorem:

b^2+3^2=5^2
b^2+9=25

b=sqrt (25-9)

b=sqrt(16)

b=4

=> 4^2+7^2=c^2
16+49=c^2
65=c^2
=>c=sqrt(65)

c = (approximately) 8

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Two functions are graphed on the coordinate plane.
Artemon [7]

Answer:

Answer:

(B) f(-4)=g(-4) and  f(0)=g(0)

Step-by-step explanation:

From the given graph, the lines f(x) and g(x) intersects at two different points.

When x=-4, f(-4)=4 and g(-4)=4

When x=0, f(0)=4 and g(0)=4

Therefore, the points which represent where f(x)=g(x) are:

f(-4)=g(-4); and

f(0)=g(0)

The correct option is B.

5 0
3 years ago
Read 2 more answers
6. Write the equation of the line in slope-intercept form given the following:
Juliette [100K]

Answer:

y=\dfrac{5}{4}x+1

Step-by-step explanation:

Slope intercept form a equation of a line is given by the following formula:

Slope intercept form:

y=mx+c

Given that, a point is (-4,-4)

i.e.

x=-4,\\y=-4

Slope, m =\frac{5}{4}

Putting the given values in the Slope intercept form equation:

-4=-4\times \dfrac{5}{4}+c\\\Rightarrow -4=-5+c\\\Rightarrow c =1

Putting the value of c and m in the slope intercept form:

y=\dfrac{5}{4}x+1

3 0
3 years ago
Factor x^3 -7x^2 -5x+35 by grouping. what is the resulting expression
Anni [7]

Answer:

(x-7) (x^2-5)

Step-by-step explanation:

x^3 -7x^2 -5x+35

Make 2 groups

x^3 -7x^2      -5x+35

Factor x^2 from the first group and -5 from the second group

x^2 (x-7)       -5(x-7)

Now factor (x-7) out

(x-7) (x^2-5)

8 0
3 years ago
HELP ILL MARK BRAINLIEST
bonufazy [111]

Answer:

-5c

Step-by-step explanation:

c+c-7c > 2c-7c = -5c

5 0
3 years ago
Please solve this question <br>the answer is 45 degree ​
malfutka [58]

Answer:

∠ABC= 45°

Step-by-step explanation:

∠ABC= ∠BCD (alt. ∠s, AB//CD)

(2x +15)°= (3x)°

2x +15= 3x

3x-2x= 15 <em>(</em><em>-2x </em><em>on </em><em>both </em><em>sides)</em>

x= 15

Substituting the value of x:

∠ABC

= ∠BCD

= [3(15)]°

= 45°

7 0
3 years ago
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