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3 years ago

Which inequality matches the graph?

Mathematics

1 answer:

AysviL [449]3 years ago

3 0

Answer:

B) x ≥ 3

Step-by-step explanation:

The circle is shaded which indicates that the inequality is equal to. The circle is on -3 and extends towards numbers that are greater than -3. Thus, all numbers are can be equal to or greater than -3.

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State of the triangles in the pair are similar. If so, complete the similarity statement.

kherson [118]

Yes they are similar. ⃤SRQ ~ ⃤SBC

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3 years ago

The box-and-whisker plot below shows the age distribution of people at a family reunion.

Nesterboy [21]

Answer:

C. The interval of the stem and leaf plot is not consistent.

Step-by-step explanation:

The stem and leaf plot appears at first glance to be accurate. However, 5 is skipped altogether in the stems; this makes the plot look symmetric instead of skewed.

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3 years ago

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Ndicate the equation of the line through (2, -4) and having slope of 3/5.

lord [1]

$\bf (\stackrel{x_1}{2}~,~\stackrel{y_1}{-4})~\hspace{10em} slope = m\implies \cfrac{3}{5} \\\\\\ \begin{array}{|c|ll} \cline{1-1} \textit{point-slope form}\\ \cline{1-1} \\ y-y_1=m(x-x_1) \\\\ \cline{1-1} \end{array}\implies y-(-4)=\cfrac{3}{5}(x-2) \implies y+4=\cfrac{3}{5}x-\cfrac{6}{5} \\\\\\ y=\cfrac{3}{5}x-\cfrac{6}{5}-4\implies \implies y=\cfrac{3}{5}x-\cfrac{26}{5}$

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3 years ago

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What is the measure of angle 1?

frozen [14]

Answer:

Angle 1 = 90°

Reason:

Angle subtended on any point on circumference is always a right angle.

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3 years ago

Select the two values of x that are roots of this equation.<br> x^2+1=5x <br> *APEX

snow_lady [41]

Answer:

$\large\boxed{B.\ x=\dfrac{5+\sqrt{21}}{2},\ C.\ x=\dfrac{5-\sqrt{21}}{2}}$

Step-by-step explanation:

$\text{Use the quadratic formula:}\\\\ax^2+bx+c=0\\\\x=\dfrac{-b\pm\sqrt{b^2-4ac}}{2a}\\\\================================\\\\\text{We have}:\\\\x^2+1=5x\qquad\text{subtract}\ 5x\ \text{from both sides}\\\\x^2-5x+1=0\\\\a=1,\ b=-5,\ c=1\\\\b^2-4ac=(-5)^2-4(1)(1)=25-4=21\\\\x=\dfrac{-(-5)\pm\sqrt{21}}{2(1)}=\dfrac{5\pm\sqrt{21}}{2}$

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3 years ago

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